# Sol_5 - b From to Following the same procedure as a Problem...

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 ,...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online