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1052_Physics ProblemsTechnical Physics

1052_Physics ProblemsTechnical Physics - Chapter 37 P37.33...

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Chapter 37 393 P37.33 Treating the anti-reflectance coating like a camera-lens coating, 2 1 2 t m n = + F H G I K J λ . Let m = 0 : t n = = = λ 4 3 00 0 500 . . cm 4 1.50 cm a f . This anti-reflectance coating could be easily countered by changing the wavelength of the radar—to 1.50 cm—now creating maximum reflection! P37.34 2 1 2 nt m = + F H G I K J λ so t m n = + F H G I K J 1 2 2 λ Minimum t = F H G I K J = 1 2 500 2 1 30 96 2 nm nm a f a f . . . P37.35 Since the light undergoes a 180° phase change at each surface of the film, the condition for constructive interference is 2 nt m = λ , or λ = 2 nt m . The film thickness is t = × = × = 1 00 10 1 00 10 100 5 7 . . cm m nm . Therefore, the wavelengths intensified in the reflected light are λ = = 2 1 38 100 276 . a fa f nm nm m m where m = 1 2 3 , , , or λ 1 276 = nm , λ 2 138 = nm , . . . . All reflection maxima are in the ultraviolet and beyond. No visible wavelengths are intensified. P37.36 (a) For maximum transmission, we want destructive interference in the light reflected from the front and back surfaces of the film.
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