Diffraction By An Aperture I

Cover Diffraction By An Aperture I
Diffraction By An Aperture I
Joseph Bishop Keller
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12. Conclusion The method which we have applied in this article to diffraction by an aper- ture is a natural extension of geometrical optics. It augments geometrical op- tics by introducing diffracted rays and by assigning a field to each ray. Both of these aspects can be worked out by the use of elementary mathematics alone. Nevertheless it leads directly to results which have only recently been obtained by elaborate mathematical methods, and to others which have not yet been obtained in any o...ther way. In Part II the various " physical optics" theories based upon the Kirchhoff method will be examined. Those theories require the evaluation of integrals. It will be shown that when those integrals are evaluated for small wavelengths they lead to results which have an immediate interpretation in terms of our singly diffracted rays. However the quantitative value of the field obtained from the integrals will be incorrect, as is well known. It therefore seems that these integral methods have oertain disadvantages which our method by-passes.

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