HW9_Solution

# HW9_Solution - 1 1 s s n n r Substrate with film f fs f t r...

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1 Phys 322 HW9 Solution 1.   a s y , so      m m m m y a s 05 . 2 10 8799 . 4 / 10 10 10 0 . 1 / 7 3 4 . 2. i i i i r E E n n E r E E 0 0 0 0 1 2 . 0 1 52 . 1 1 52 . 1 1 1 . i i i r E n n n n n E t tr E E 0 0 0 2 192 . 0 1 2 1 1 1 2 ' ' .   i i i r E n n n n n E t r t E E 0 3 0 3 0 3 008 . 0 1 2 1 1 1 2 ' ' . For water just replace n=1.52 with n=1.333. 3. R m x f m 2 1 , m m m m x R m 76 . 9 10 5 5 . 20 01 . 0 2 1 7 2 0 2 4. A motion of 2 / causes a single fringe pair to shift past, hence m 5 10 53 . 2 2 / 92 and nm 550 . 5. (a) 80 . 0 R , therefore   80 1 4 2 R R F . (b) 448 . 0 1 sin 4 1 F . (c) 14 / 2 Finesse . (d) 81 1 F C .

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2 6. i t i t n n n n r . Baresubstrate:
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Unformatted text preview: 1 1 s s n n r . Substrate with film: ' f fs f t r t r . i t i n n n r 2 , so 1 2 1 2 ' f f f s f s f n n n n n n n r , where n n f . Note that for 1 f s n n , both r and ' r are positive. But, with thickness 4 / f , a phase shift occurs due to OPD in the ' r beam, so ' r r r net . Thus the ' r beam (partially) cancels the r beam....
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HW9_Solution - 1 1 s s n n r Substrate with film f fs f t r...

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