laser cavity - laser resonator

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The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

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We have shown that the focal point is different for different colour due to the wavelength. Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

microscope: definition biology

We are going to find the matrices of a simple lens system and then determine the focal length with a given radii, distance between the lenses, and other information to shop that focal point differs for different wavelength The Lens System Matrices Examples Example 1 Example 2 We have shown that the focal point is different for different colour due to the wavelength. Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Monocular microscopes have a single body tube and ocular for viewing with one eye. Elaborate research microscopes are binocular. Magnification depends on the objective lens and the eyepiece. There are usually three objectives in a monocular microscope, typically with magnifications of 10, 40, and 100. Magnification is changed by rotating the objectives, which are fitted into a disk called the nosepiece.

The transmission electron microscope is used to observe very thin slices of a specimen. It has an electron gun and condenser lens system, which create and concentrate an electron beam. The electrons pass through an objective lens before reaching the specimen on the movable stage. Intermediate and projector lenses focus the electrons passing through the specimen to form an electron image. The image-recording system converts the electron image into a form that is perceptible to the human eye.

Before the invention of electron microscopes, continuous effort was made to increase the resolution of the microscope by using shorter and shorter wavelengths, moving into the invisible ultraviolet region of the spectrum. Ultraviolet microscopes, used in medical research, produce photomicrographs, which reveal details that visible rays would pass over without reflection or refraction. With other developments, such as specialized glass filters, ultraviolet light is also used for excitation of fluorescence—to convert ultraviolet light to visible light—under a microscope.

In some compound microscopes the eyepiece has a micrometer device for measuring an object. With a “camera lucida” attachment a highly magnified image may be projected on a screen or upon a sheet of paper, where its structure may be traced with a pencil. Some microscopes are equipped with a small viewing screen that fits on the body tube and shows the same image that is seen through the eyepiece.

In the late 20th century German-born physicist Gerd Binnig and Swiss physicist Heinrich Rohrer invented the scanning tunneling microscope. Its resolution is so great that it can resolve a single atom. The scanning tunneling microscope uses a metal probe to scan the topography of a substance, tracing out the hills and spaces that correspond to the surface atoms and the spaces between them. When a vacuum is created between the probe and specimen and a voltage is applied to the probe, the result is the tunneling of electrons from the probe to the specimen. The tunneling voltage and current are measured to create an atomic map.

Sometimes called a magnifier, the simple microscope consists of a single lens or a set of lenses close to one another. This allows direct magnification. On a magnifying glass, or reading glass, the lens is mounted with a handle. To achieve the largest possible field of view, the lens is held close to the eye. Focusing is achieved by adjusting the distance between the lens and the object being viewed.

Examples Example 1 Example 2 We have shown that the focal point is different for different colour due to the wavelength. Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Chromatic Aberration occurs because of dispersion. Dispersion is the change in refractive index due to changing wavelength. The images formed from these different colours of light are not coincident. There are two effects of chromatic abberation 1) Longitudinal displacement of the image along the optic axis ( Longitudinal Chromatic Abberation) 2) Variation in image size with color (Lateral Chromatic Abberation) This figure shows that, according to Snell's Law, the angle of refraction differ for different indexes. A white object will not give rise to a white image but it will be distorted and have rainbow edges. Connecting Wavelength to Indexes Applying Huyen's Principle to Snell's Law : The wavelengths are in Armstrong unit. These are the lines that appeared in the solar spectrum that J. von Fraunhofer studied known as "Fraunhofer wavelength". The refraction index increased with an decreasing wavelengths. Using Linear Aproximation to illustrate Chromatic Aberration We are going to find the matrices of a simple lens system and then determine the focal length with a given radii, distance between the lenses, and other information to shop that focal point differs for different wavelength The Lens System Matrices Examples Example 1 Example 2 We have shown that the focal point is different for different colour due to the wavelength. Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Today the microscope is used in many capacities. Microbiologists, for example, use the microscope to study cell structures and the cell processes that are responsible for life itself. Specialized low-power microscopes, called stereoscopic binocular microscopes, are used in the assembly of small electronic circuits and for detailed surgical operations. As an industrial tool, the microscope assists in the detection of food spoilage, drug adulteration, and minute structural defects in metals. It also makes possible nanotechnology, which involves the manufacture of materials on the scale of billionths of a meter.

Transparent objects are mounted on a glass slide and lighted from below. The illumination system consists of a condenser lens to focus the light onto the object and either a mirror with an external light source or a built-in light source, commonly a low-voltage tungsten bulb. The iris diaphragm opens and closes to control the size of the cone of light illuminating the object.

We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

The Lens System Matrices Examples Example 1 Example 2 We have shown that the focal point is different for different colour due to the wavelength. Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Compound microscope

This figure shows that, according to Snell's Law, the angle of refraction differ for different indexes. A white object will not give rise to a white image but it will be distorted and have rainbow edges. Connecting Wavelength to Indexes Applying Huyen's Principle to Snell's Law : The wavelengths are in Armstrong unit. These are the lines that appeared in the solar spectrum that J. von Fraunhofer studied known as "Fraunhofer wavelength". The refraction index increased with an decreasing wavelengths. Using Linear Aproximation to illustrate Chromatic Aberration We are going to find the matrices of a simple lens system and then determine the focal length with a given radii, distance between the lenses, and other information to shop that focal point differs for different wavelength The Lens System Matrices Examples Example 1 Example 2 We have shown that the focal point is different for different colour due to the wavelength. Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

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The field-ion microscope, developed in the early 1950s, uses positive ions instead of electrons to magnify an object. It can enlarge an object over one million times. Because of the stresses that specimens are subjected to, however, it cannot be used to view biological objects. It is used in metallurgy for direct observation of defects, radiation damage, or chemical reactions in metal crystals. The proton-scattering microscope is used to observe metal crystals. It accelerates and focuses a proton beam from an ion source or gun onto a crystal target. The pattern of scattered protons is recorded on a fluorescent screen as an image.

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Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Types of microscope

We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

What ismicroscope in science

Many objects too small to be seen with the unaided eye can be viewed through a microscope, an instrument that produces magnified images of such objects. The development of the microscope greatly affected human life. Before it was invented, little was known about tiny organisms such as bacteria and protozoa.

10 uses of microscope

Photographs may be made by placing a camera over the eyepiece of a microscope. This art is called photomicrography. Although the process is simple in principle, good high-power photomicrographs require great skill.

Light microscope

This microscope was developed in 1903 to study colloidal particles. These tiny particles—larger than atoms but too small to be seen with an ordinary optical microscope—are suspended in a liquid and illuminated from the side. Their positions and movements are recorded as flashes of intense light on a dark background. Particles as small as 5 to 10 millimicrons are observed. (1 millimicron equals 10 millionths of a centimeter, or 39 billionths of an inch.)

The electron microscope requires that the electron beam be in a vacuum, because electrons cannot travel far in air at atmospheric pressure. The column and specimen chamber of the electron microscope are evacuated by pumps. Living specimens cannot be examined with an electron microscope, since they will not survive in a vacuum.

The magnification in magnetic electron microscopes is determined by the strength of the current passing through the electric and electromagnetic lens coils. The image is focused by changing the current through the objective lens coil. In the optical microscope the image is determined by absorption of light by the specimen; in the electron microscope the image results from a scattering of electrons by atoms of the specimen. Since an atom with a high atomic number scatters electrons more than does a light atom, it appears darker. As the beam passes through a specimen, each tiny variation in the structure of the specimen causes a variation in the electron stream. The image produced is then projected onto a fluorescent screen or recorded on film. The electron microscope, with its tremendous resolving power, can magnify specimens over 50,000 times.

The scanning electron microscope reveals the surface structure or topography of objects directly. Like the transmission electron microscope, it has an electron gun, condensers, and objectives. Its extremely narrow beam of focused electrons moves over, or scans, the specimen. Two types of electrons—backscattered and secondary—are emitted from the surface of the specimen. Each type has its own detector. Backscattered electrons move in straight lines, whereas secondary electrons move in curved paths. The emission of secondary electrons allows for the fine detailing of electron micrographs.

Microscope parts and functions

Using Linear Aproximation to illustrate Chromatic Aberration We are going to find the matrices of a simple lens system and then determine the focal length with a given radii, distance between the lenses, and other information to shop that focal point differs for different wavelength The Lens System Matrices Examples Example 1 Example 2 We have shown that the focal point is different for different colour due to the wavelength. Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

The simple and compound microscopes are called optical, or light, microscopes. That is, they use a beam of light and lenses to magnify objects.

According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Applying Huyen's Principle to Snell's Law : The wavelengths are in Armstrong unit. These are the lines that appeared in the solar spectrum that J. von Fraunhofer studied known as "Fraunhofer wavelength". The refraction index increased with an decreasing wavelengths. Using Linear Aproximation to illustrate Chromatic Aberration We are going to find the matrices of a simple lens system and then determine the focal length with a given radii, distance between the lenses, and other information to shop that focal point differs for different wavelength The Lens System Matrices Examples Example 1 Example 2 We have shown that the focal point is different for different colour due to the wavelength. Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Example 2 We have shown that the focal point is different for different colour due to the wavelength. Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

German electrical engineer Ernst Ruska invented the electron microscope in the early 1930s. The electron microscope is so named because it directs a beam of electrons rather than light through a specimen. The beam of electrons is created in a hot tungsten filament in an electron gun. This beam then travels through the length of the microscope cylinder, which houses the lenses, the specimen chamber, and the image-recording system. Two types of electron lenses are used, electrostatic and electromagnetic. They create electric and electromagnetic fields to both concentrate and move the beam.

The compound microscope uses a lens called the objective to produce a primary magnified image and another called the eyepiece or ocular to magnify this image. In practice, both objective and eyepiece are actually composed of several lenses to neutralize the optical defects inherent in lenses made of a single kind of glass.

In 1924 the French physicist Louis de Broglie suggested that electron beams might be regarded as a form of wave motion, similar to light. Furthermore, he reasoned that the actual wavelength of such a beam would be much shorter than that of a beam of light.

Who invented the microscope

The high-power compound microscope is a delicate and expensive instrument, requiring skill, training, and patience in its use. The body tube carrying the magnifying lenses has two focusing adjustments—the coarse instrument for moving the tube up or down rapidly and the fine adjustment for very delicate changes. The object to be examined is placed on a flat surface known as a stage. Some stages move horizontally for viewing of different parts of the object. If the object is opaque, such as a mineral specimen, it is lighted from above.

The objective lenses are usually responsible for both the magnification and the quality of the image. Modern microscopes no longer suffer from the aberrations of earlier biconvex lenses. Chromatic aberration produces color fringes around the edges of the image. Spherical aberration causes a hazy, low-contrast image. Image resolution with achromatic lenses typical of modern microscopes is near theoretical perfection.

Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Since the image formed by a microscope can be projected upon a screen, the magnification possible is virtually unlimited. Beyond a certain point, however, increased magnification merely makes the image larger without revealing any more detail. Thus the quality of a microscope is not judged by its magnification but by its resolving power—that is, its ability to show separation between lines that are extremely close together.

Connecting Wavelength to Indexes Applying Huyen's Principle to Snell's Law : The wavelengths are in Armstrong unit. These are the lines that appeared in the solar spectrum that J. von Fraunhofer studied known as "Fraunhofer wavelength". The refraction index increased with an decreasing wavelengths. Using Linear Aproximation to illustrate Chromatic Aberration We are going to find the matrices of a simple lens system and then determine the focal length with a given radii, distance between the lenses, and other information to shop that focal point differs for different wavelength The Lens System Matrices Examples Example 1 Example 2 We have shown that the focal point is different for different colour due to the wavelength. Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

A white object will not give rise to a white image but it will be distorted and have rainbow edges. Connecting Wavelength to Indexes Applying Huyen's Principle to Snell's Law : The wavelengths are in Armstrong unit. These are the lines that appeared in the solar spectrum that J. von Fraunhofer studied known as "Fraunhofer wavelength". The refraction index increased with an decreasing wavelengths. Using Linear Aproximation to illustrate Chromatic Aberration We are going to find the matrices of a simple lens system and then determine the focal length with a given radii, distance between the lenses, and other information to shop that focal point differs for different wavelength The Lens System Matrices Examples Example 1 Example 2 We have shown that the focal point is different for different colour due to the wavelength. Correcting Chromatic Abberation: Chromatic aberration can be eliminated by making multiple refracting elements with opposite power (Pedrotti). The most common solution is making a achromatic doublet, consisting a convex and a concave lens, of different glasses. For example, using a crown glass equiconvex lens to a negative flint glass lens. Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Design for thin len: The matrix for thin len convex len is: Let's apply the matrix to the matrix of a focus image, we get Let's simplify the equation We are going to apply these equation to the sample achromatic doulet and figure out the lens design. The Fraunhofer wavelength we are going to use is D - yellow colour. Therefore, the index of refraction n is for the wavelength D. The power of the two lens are Let K1 and K2 be constants, represent abberation for the curvatures. We know that the power of a doublet with a distance of L is Since we our doublet are cemented, L=0, the powers are According to Pedrotti(P. 101), chromatic aberration does not exist for yellow(D) wavelength if the power is independent of the wavelength or the derivative We take the derivative of the power and we get According to Blaker(p. 71), the dispersive power is v and dispersive constant V To determine the variation for n with lamda, in the area around the colour yellow, we have to take an approximation using the colour red and blue. We want We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).

Zacharias Janssen is credited with having invented the compound microscope in about 1590. With it, remarkable scientific discoveries were made in the 17th and 18th centuries. The Dutch naturalist Anthony van Leeuwenhoek produced lenses powerful enough to prove that many tiny organisms are not spontaneously generated but come from eggs; and the Italian physiologist Marcello Malpighi was the first to see the capillary circulation of the blood.

We have to determine each individual len power in term of the desire power P Finally, from the equation above, we can now determine the curvature K and the four radii. Achromatizing thin lens will result in a nearly equal focal lengths(focal length for red nearly equal to focal length for blue), eliminate longitudinal and later aberration at the same time, i.e will coincide. But the problem with thick len is that equal focal lenghts may not coincide as thin len. If we change the focal lengths for red and blue, resulting in a different later magnification and therefore lateral chromatic aberration remains. According to Pedrotti, the condition to remove lateral chromatic aberration is "the coincidence of the principal planes for the corrected wavelengths" (Pedrotti, p.104).