Fresnel and Fraunhofer

Abstract

exp[i!t]) /(x; y; z) = / 0 A Z x0 Z y0 ~ g(x 0 ; y 0 ) exp[\Gammaikr] r cos `: (3) The 1=A term is for an integration area to cancel out R R dx 0 dy 0 , and the cos ` term is an obliquity factor which we can normally ignore. Since / is an amplitude (amplitude=magnitude\Delta exp[\Gammaiphase]), the irradiance E is given by E = / / y . The radius r from the spherical wave source is given by r = q z 2 + (x \Gamma x 0 ) 2 + (y \Gamma<F46.

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