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Callister - An introduction - 8th edition

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870 • Chapter 21 / Optical Properties<br />

periclase (MgO), poly(methyl methacrylate),<br />

and polypropylene, and compare these values<br />

with those cited in the following table. Briefly<br />

explain any discrepancies.<br />

Dielectric Constant<br />

Material<br />

(1 MHz)<br />

Borosilicate glass 4.65<br />

Periclase 9.65<br />

Poly(methyl methacrylate) 2.76<br />

Polypropylene 2.30<br />

21.10 Briefly describe the phenomenon of dispersion<br />

in a transparent medium.<br />

Reflection<br />

21.11 It is desired that the reflectivity of light at<br />

normal incidence to the surface of a transparent<br />

medium be less than 6.0%. Which of<br />

the following materials in Table 21.1 are<br />

likely candidates: silica glass, Pyrex glass,<br />

corundum, spinel, polystyrene, and polytetrafluoroethylene?<br />

Justify your selection(s).<br />

21.12 Briefly explain how reflection losses of<br />

transparent materials are minimized by thin<br />

surface coatings.<br />

21.13 The index of refraction of corundum<br />

(Al 2 O 3 ) is anisotropic. Suppose that visible<br />

light is passing from one grain to another of<br />

different crystallographic orientation and at<br />

normal incidence to the grain boundary.<br />

Calculate the reflectivity at the boundary if<br />

the indices of refraction for the two grains<br />

are 1.757 and 1.779 in the direction of light<br />

propagation.<br />

Absorption<br />

21.14 Zinc telluride has a band gap of 2.26 eV.<br />

Over what range of wavelengths of visible<br />

light is it transparent?<br />

21.15 Briefly explain why the magnitude of the absorption<br />

coefficient ( b in Equation 21.18)<br />

depends on the radiation wavelength.<br />

21.16 The fraction of nonreflected radiation that<br />

is transmitted through a 10-mm thickness of<br />

a transparent material is 0.90. If the thickness<br />

is increased to 20 mm, what fraction of<br />

light will be transmitted?<br />

Transmission<br />

21.17 Derive Equation 21.19, starting from other<br />

expressions given in the chapter.<br />

21.18 The transmissivity T of a transparent<br />

material 20 mm thick to normally incident<br />

light is 0.85. If the index of refraction of<br />

this material is 1.6, compute the thickness<br />

of material that will yield a transmissivity<br />

of 0.75. All reflection losses should be<br />

considered.<br />

Color<br />

21.19 Briefly explain what determines the characteristic<br />

color of (a) a metal and (b) a transparent<br />

nonmetal.<br />

21.20 Briefly explain why some transparent<br />

materials appear colored whereas others are<br />

colorless.<br />

Opacity and Translucency in Insulators<br />

21.21 Briefly describe the three absorption mechanisms<br />

in nonmetallic materials.<br />

21.22 Briefly explain why amorphous polymers<br />

are transparent, while predominantly crystalline<br />

polymers appear opaque or, at best,<br />

translucent.<br />

Luminescence<br />

Photoconductivity<br />

Lasers<br />

21.23 (a) In your own words, briefly describe the<br />

phenomenon of luminescence.<br />

(b) What is the distinction between fluorescence<br />

and phosphorescence?<br />

21.24 In your own words, briefly describe the phenomenon<br />

of photoconductivity.<br />

21.25 Briefly explain the operation of a photographic<br />

lightmeter.<br />

21.26 In your own words, describe how a ruby laser<br />

operates.<br />

21.27 Compute the difference in energy between<br />

metastable and ground electron states for<br />

the ruby laser.<br />

Optical Fibers in Communications<br />

21.28 At the end of Section 21.14 it was noted that<br />

the intensity of light absorbed while passing<br />

through a 16-kilometer length of optical

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