p5 - angle is i The internal angle is t Let r be the...

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Physics 458- Problem Set 5 Note: These problem numbers from Hecht (4th ed). Homework will contribute 20% of your final grade. Each homework assignment has two parts. 1. Ungraded problems will be collected and points will be given for the number of these problems serioulsy attempted. 2. Graded problems will be collected and graded. Full credit will be given for correct solutions. 1. Hand in all Exercises and Graded Problems 2. On a cover page, indicate : * Number of Exercise examples attempted * Number of Exercise examples solved to completion *Number of Graded Problems attempted. *Number of Graded Problems solved to completion 3. Be sure to staple your homework. Ungraded Problems (5 pts) Problems: 7.1, 7.8, 7.24, 7.30, 7.38 Graded Problems (5 pts) Problems: 7.7, 7.16, 7.23, 7.36, 7.42 , Additional Problem Additional Problem
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Consider the picture on the left, of light reflecting from a flat sheet of glass of thickness d and index of refraction n . The incident
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Unformatted text preview: angle is i . The internal angle is t . Let r be the reflection coefficient for external rays reflecting off the glass and let r’ be the coefficient for internal reflection within the glass. Let t be the transmission coefficient for rays entering and t’ be the coefficient for rays exiting. a) Show that the phase delay (associated with the extra path length indicated by the purple arrow) of the back surface reflected ray relative to the front surface reflected ray is given by: ) cos( 4 t d n b) Considering multiple reflections (an infinite number) show that Eq. 9.51 and Eq. 9.52 are obtained. Indicate where Stoke’s relationships are used. c) If we assume that the glass thickness d is 100 wave lengths, and that the index n=1.501, use Eq. 9.52 to determine Intensity incident Intensity reflected R for light at normal incidence i . d) What is the minimum incident angle corresponding to a maximum?...
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