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PHYS270_HMWK4 - z(x,t of the incident and reflected waves...

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PHYS270 Homework #4 Due in recitation week of March 14, 2011 A sinusoidal plane wave is normally incident on the boundary between vacuum and diamond. (Don’t laugh, diamond is the perfect material for “windows” that allow microwaves to pass through, and keep vacuum on one side and air on the other. Diamond has low losses and high thermal conductivity, an unusual combination.) At any rate, for this problem you will assume the diamond is very thick, and only worry about what happens at the first boundary. Reflection from surface v 1 = 1/ μ 0 ε 0 κ 1 incident reflected transmitted v 2 = 1/ μ 0 ε 0 κ 2 Region 1 Region 2 A. Write an expression for the electric field (E y (x,t)) and the magnetic field (B
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Unformatted text preview: z (x,t)) of the incident and reflected waves in terms of the peak amplitude of the electric field of the incident wave, E , the angular frequency ω , the wavenumber k , the speed of light c, and the reflection coefficient ρ . Now find numerical values for these quantities when the frequency is 170 Ghz, the average intensity of the incident wave is 1 × 10 8 W / m 2 , and the index of refraction of diamond is n=2.42. B. What is the intensity of the reflected wave? C. Now write an expression for the transmitted wave in the diamond. What are the numerical values of the wavenumber and peak electric field in the diamond?...
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