p37_067 - 67. The central diffraction envelope spans the...

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Unformatted text preview: 67. The central diffraction envelope spans the range −θ1 < θ < +θ1 where θ1 = sin−1 λ . a The maxima in the double-slit pattern are located at θm = sin−1 mλ , d so that our range specification becomes − sin−1 λ a < sin−1 mλ λ < + sin−1 , d a which we change (since sine is a monotonically increasing function in the fourth and first quadrants, where all these angles lie) to mλ λ λ < <+ . − a d a Rewriting this as −d/a < m < +d/a, we find −6 < m < +6, or, since m is an integer, −5 ≤ m ≤ +5. Thus, we find eleven values of m that satisfy this requirement. ...
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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