SSM In Fig 35-4, assume that two waves of light in air, of wavelength 400nm, are initially in phase. One travels through a glass layer of index of refraction n 1 = 1.60 and thickness L. The other travels through an equally thick plastics layer of index of refraction n 2 = 1.50. (a) What is the smallest value L should have if the waves are to end up with a phase difference of 5.65 rad? (b) if the waves arrive at some common point with the same amplitude, is their interference fully constructive, fully destructive, intermediate but closer to fully constructive but closer to fully destructive?
SSM In Fig 35-4, assume that two waves of light in air, of wavelength 400nm, are initially in phase. One travels through a glass layer of index of refraction n 1 = 1.60 and thickness L. The other travels through an equally thick plastics layer of index of refraction n 2 = 1.50. (a) What is the smallest value L should have if the waves are to end up with a phase difference of 5.65 rad? (b) if the waves arrive at some common point with the same amplitude, is their interference fully constructive, fully destructive, intermediate but closer to fully constructive but closer to fully destructive?
SSM In Fig 35-4, assume that two waves of light in air, of wavelength 400nm, are initially in phase. One travels through a glass layer of index of refraction n1 = 1.60 and thickness L. The other travels through an equally thick plastics layer of index of refraction n2 = 1.50. (a) What is the smallest value L should have if the waves are to end up with a phase difference of 5.65 rad? (b) if the waves arrive at some common point with the same amplitude, is their interference fully constructive, fully destructive, intermediate but closer to fully constructive but closer to fully destructive?
63 In Fig. 33-60, light enters a 90°
triangular prism at point P with inci-
dent angle 0, and then some of it
refracts at point Q with an angle of
refraction of 90°. (a) What is the in-
dex of refraction of the prism in
terms of 0? (b) What, numerically,
Air
Q
Figure 33-60 Problem 63.
is the maximum value that the index of refraction can have? Does
light emerge at Q if the incident angle at P is (c) increased slightly
and (d) decreased slightly?
79 SSM (a) Prove that a ray of light incident on the surface of a
sheet of plate glass of thickness t emerges from the opposite face
parallel to its initial direction but displaced sideways, as in Fig. 33-69.
(b) Show that, for small angles of incidence 0, this displacement is
given by
п - 1
x = te-
п
where n is the index of refraction of the glass and e is measured in
radians.
Figure 33-69 Problem 79.
10 mW of light is incident on a piece of GaAs which is 0.2mm thick. The incident light is a mixture of 5mW at λ1=1.553μm and 5mW at λ2=0.828μm. A total of 7mW mixed light exits out of the GaAs. Assume no reflections at the air/GaAs interface and any light generated by recombination won’t exit the GaAs. What are the absorption coefficients, α, for two different wavelengths?
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