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HW 2 Sol Phys 375 F10

HW 2 Sol Phys 375 F10 - Phys 375 HW 2 Fall 2010 Due 20...

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Phys 375 HW 2 Fall 2010 Due 20 September, 2010 1 . Pedrotti 3 , 3 rd edition, problem 2-7 (see Fig. 2-33). Solution: See FIGURE 2-33in the text P 3 From the geometry it is clear that h D C 4 / tan = θ , where h is the height of the slab and D is the diameter of the circle of light. From Snell’s law we know that the critical angle occurs when the angle of refraction is 2 π θ = R . Then applying Snell’s Law, 2 2 1 1 sin sin θ θ n n = we have: ( ) 55 . 1 4 / 4 / sin 2 / sin 2 2 = + = = h D D n n C air glass θ π Where I used 1 = air n . 2 . Write an expression for the E - and B -fields that constitute a plane harmonic wave traveling in the + z -direction. The wave is linearly polarized with its plane of vibration at 45 o to the yz -plane. Solution: For a plane wave traveling in the +z-direction we know the functional form of the wave must be ( ) t kz ω sin or cosine. Since the wave is traveling in free space, it must be transverse. This implies that 0 = z E . For light polarized linearly at a 45° the normalized polarization vector is ( ) y x ˆ ˆ 2 1 + .
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