Diffraction of light by a planar aperture in a metallic screen

Details Diffraction of light by a planar aperture in a metallic screen Diffraction of light by a planar aperture in a metallic screen

2010-02-03

arxiv.org/abs/1002.0801v2

Physics

Optics

J. Math. Phys. 47, 072901 (2006)

Scientific paper

We present a complete derivation of the formula of Smythe [Phys.Rev.72, 1066 (1947)] giving the electromagnetic field diffracted by an aperture created in a perfectly conducting plane surface. The reasoning, valid for any excitating field and any hole shape, makes use only of the free scalar Green function for the Helmoltz equation without any reference to a Green dyadic formalism. We compare our proof with the one previously given by Jackson and connect our reasoning to the general Huygens Fresnel theorem.

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