Whenever you change microscopes or switch eyepieces or objective lenses, remember to repeat the FOV calculations with the new field number and magnifications. When dealing with objects observed at higher magnifications, it may be useful to convert your measurements from millimeters to micrometers. To do so, multiply the FOV diameter in millimeters by 1,000 to convert the diameter to micrometers.

fov和焦距的关系

Figure 1. (a) Chromatic aberration is caused by the dependence of a lens’s index of refraction on color (wavelength). The lens is more powerful for violet (V) than for red (R), producing images with different locations and magnifications. (b) Multiple-lens systems can partially correct chromatic aberrations, but they may require lenses of different materials and add to the expense of optical systems such as cameras.

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Integrated Concepts. (a) During laser vision correction, a brief burst of 193 nm ultraviolet light is projected onto the cornea of the patient. It makes a spot 1.00 mm in diameter and deposits 0.500 mJ of energy. Calculate the depth of the layer ablated, assuming the corneal tissue has the same properties as water and is initially at 34.0ºC. The tissue’s temperature is increased to 100ºC and evaporated without further temperature increase. (b) Does your answer imply that the shape of the cornea can be finely controlled?

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Figure 1a shows chromatic aberration for a single convex lens and its partial correction with a two-lens system. Violet rays are bent more than red, since they have a higher index of refraction and are thus focused closer to the lens. The diverging lens partially corrects this, although it is usually not possible to do so completely. Lenses of different materials and having different dispersions may be used. For example an achromatic doublet consisting of a converging lens made of crown glass and a diverging lens made of flint glass in contact can dramatically reduce chromatic aberration (see Figure 1b).

So how are aberrations corrected? The lenses may also have specially shaped surfaces, as opposed to the simple spherical shape that is relatively easy to produce. Expensive camera lenses are large in diameter, so that they can gather more light, and need several elements to correct for various aberrations. Further, advances in materials science have resulted in lenses with a range of refractive indices—technically referred to as graded index (GRIN) lenses. Spectacles often have the ability to provide a range of focusing ability using similar techniques. GRIN lenses are particularly important at the end of optical fibers in endoscopes. Advanced computing techniques allow for a range of corrections on images after the image has been collected and certain characteristics of the optical system are known. Some of these techniques are sophisticated versions of what are available on commercial packages like Adobe Photoshop.

Figure 4. This chart can detect astigmatism, unevenness in the focus of the eye. Check each of your eyes separately by looking at the center cross (without spectacles if you wear them). If lines along some axes appear darker or clearer than others, you have an astigmatism.

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Flournoy, Blake. How To Calculate The Field Of View In A Microscope last modified March 24, 2022. https://www.sciencing.com/calculate-field-microscope-7603588/

Knowing a compound light microscope's field of view (FOV) allows you to determine the approximate size of objects too small to measure with a standard ruler. To calculate field of view, you need to know the magnification and field number of the microscope's lens currently in use. Divide the field number by the magnification number to determine the diameter of your microscope's field of view.

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Flournoy, Blake. (2018, April 13). How To Calculate The Field Of View In A Microscope. sciencing.com. Retrieved from https://www.sciencing.com/calculate-field-microscope-7603588/

Flournoy, Blake. "How To Calculate The Field Of View In A Microscope" sciencing.com, https://www.sciencing.com/calculate-field-microscope-7603588/. 13 April 2018.

Once you've taken note of the eyepiece magnification, field number and objective lens magnification number, if applicable, you can calculate your microscope's field of view by dividing the field number by the magnification number. For example, if the microscope's eyepiece reads 30x/18, then 18 ÷ 30 = 0.6, or an FOV diameter of 0.6 millimeters. If your microscope only uses an eyepiece, this is all you need to do, but if your microscope uses both an eyepiece and an objective lens, multiply the eyepiece magnification by the objective magnification to find the total magnification before dividing the field number. For example, if the eyepiece reads 10x/18, and the magnification of your objective lens is 40, multiply 10 and 40 to get 400. Then divide 18 by 400 to get an FOV diameter of 0.045 millimeters.

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To determine the FOV of your microscope, first examine the microscope itself. The microscope's eyepiece should be labeled with a sequence of numbers, such as 10x/22 or 30x/18. These numbers are the eyepiece magnification and the field number, respectively. Also, take note of the magnification of your objective lens at the bottom of the microscope, if applicable – generally 4, 10, 40 or 100 times.

Figure 2. A coma is an aberration caused by an object that is off-center, often resulting in a pear-shaped image. The rays originate from points that are not on the optical axis and they do not converge at one common focal point.

Compound light microscopes are valuable tools in the lab. They magnify our ability to see in detail by up to 1,000 times, allowing us to study things as small as the nucleus of a cell. With them, we can determine the shape and structure of cells, observe the movements of microorganisms, and examine the smallest parts of plants, animals and fungi. Because the objects under a microscope's view are so small, it is often impossible to use a ruler to determine their size. However, calculating a microscope's field of view (FOV), the size of the area visible through the microscope, allows you to determine the approximate size of a specimen under examination.

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The image produced by an optical system needs to be bright enough to be discerned. It is often a challenge to obtain a sufficiently bright image. The brightness is determined by the amount of light passing through the optical system. The optical components determining the brightness are the diameter of the lens and the diameter of pupils, diaphragms or aperture stops placed in front of lenses. Optical systems often have entrance and exit pupils to specifically reduce aberrations but they inevitably reduce brightness as well. Consequently, optical systems need to strike a balance between the various components used. The iris in the eye dilates and constricts, acting as an entrance pupil. You can see objects more clearly by looking through a small hole made with your hand in the shape of a fist. Squinting, or using a small hole in a piece of paper, also will make the object sharper.

Real lenses behave somewhat differently from how they are modeled using the thin lens equations, producing aberrations. An aberration is a distortion in an image. There are a variety of aberrations due to a lens size, material, thickness, and position of the object. One common type of aberration is chromatic aberration, which is related to color. Since the index of refraction of lenses depends on color or wavelength, images are produced at different places and with different magnifications for different colors. (The law of reflection is independent of wavelength, and so mirrors do not have this problem. This is another advantage for mirrors in optical systems such as telescopes.)

(a) 0.251 μm; (b) Yes, this thickness implies that the shape of the cornea can be very finely controlled, producing normal distant vision in more than 90% of patients.

Quite often in an imaging system the object is off-center. Consequently, different parts of a lens or mirror do not refract or reflect the image to the same point. This type of aberration is called a coma and is shown in Figure 2. The image in this case often appears pear-shaped. Another common aberration is spherical aberration where rays converging from the outer edges of a lens converge to a focus closer to the lens and rays closer to the axis focus further (see Figure 3). Aberrations due to astigmatism in the lenses of the eyes are discussed in Vision Correction, and a chart used to detect astigmatism is shown in Figure 4. Such aberrations and can also be an issue with manufactured lenses.