Sol_5 - b) ; From to Following the same procedure as a)...

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Problem 4.14: a) The transmittance function for the grating can be written as Because the square wave is a periodic function, it can be written as a Fourier series. Where is given by Note that this integral is a Fourier transform if . The transmittance can therefore be written as The efficiency for the n th nonzero modes is therefore b) From a), the maximum diffraction occurs when or Problem 4.15: a) From to The triangle wave is periodic and can therefore be expressed as a Fourier series
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Unformatted text preview: b) ; From to Following the same procedure as a) Problem 4.16 a) The phase of a wave changes linearly as it propagates For a spherical wave converging spherical wave is given by Assuming is much greater than or , can be written using a binomial expansion and b) Fresnel diffraction is here most conveniently calculated by evaluating the Fresnel integral. After some algebra, : This is exactly the Fraunhofer Diffraction centered at ,...
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This note was uploaded on 06/04/2010 for the course EE 5621 taught by Professor Staff during the Spring '08 term at Minnesota.

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Sol_5 - b) ; From to Following the same procedure as a)...

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