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Students can use the Fresnel Lens to design, build, and redefine a device that works with given constraints to convert one form of energy into another form of energy.

Polarization: S and P PolarizationPolarization is a property of waves that can oscillate with more than one orientation. Electromagnetic waves, such as ...

Students can use the Fresnel Lens and other objects during investigations about what materials allow the light from a laser to pass through, be absorbed or reflected.

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(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 34.0 oC. The tissue’s temperature is increased to 100 oC and evaporated without further temperature increase.

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.

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 Chapter 26.2 Vision Correction, and a chart used to detect astigmatism is shown in Chapter 26.2 Figure 4. Such aberrations and can also be an issue with manufactured lenses.

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Students can use the Fresnel Lens to plan and conduct an investigation to provide evidence that the transfer of thermal energy when two components of different temperature are combined within a closed system results in a more uniform energy distribution among the components in the system (Second Law of Thermodynamics).

Students can use these in an investigation where the Fresnel Lens and other different materials are tested with analyze data and determine which materials have the properties that are best suited for an intended purpose.

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Students can use the Fresnel Lens to apply scientific principles to design, construct, and test a device that either minimizes or maximizes thermal energy transfer.

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Douglas College Physics 1207 Copyright © August 22, 2016 by OpenStax is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

1: (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.

Students can use the Fresnel Lens in an investigation to design a solution to a complex real-world problem by breaking it down into smaller, more manageable problems that can be solved through engineering.

(E, F) A cylindrical (or spherocylindrical) lens is used to correct astigmatism, in which parallel rays are not focused uniformly in all meridians.

Students can make observations of the Fresnel Lens to provide evidence that energy can be transferred from place to place by sound, light, heat, and electric currents.

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Students can use the Fresnel Lens to make observations and measurements to identify materials based on their properties.

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Students can use the Fresnel Lens to develop and use a model to describe how waves are reflected, absorbed, or transmitted through various materials.

Students can use the Fresnel Lens to develop a model or experiment to generate data for iterative testing and modification of a proposed object, tool or process such that an optimal design can be achieved.

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Students can use the Fresnel Lens to conduct investigations about technological devices use the principles of wave behavior and wave interactions with matter to transmit.

Students can use the Fresnel Lens to conduct investigations and use mathematical representations to support a claim regarding relationships among the frequency, wavelength, and speed of waves traveling in various media.

BBO (Beta-Barium Borate) (β-BaB2O4) is a versatile nonlinear optical crystal with a combination of a number of unique features: wide transparency region, broad ...

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.) Figure 1(a) 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 1(b)).

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.

Students can use the Fresnel Lens to make observations to provide evidence that energy can be transferred from place to place by heat currents.

Students can use the Fresnel Lens to develop a simple sketch, drawing, or physical model to illustrate how the shape of an object helps it function as needed to solve a given problem.