Diffraction Theory Three Papers Translated From the Russian

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Diffraction Theory Three Papers Translated From the Russian
Abe Shenitzer
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The results obtained by these authors have now been superseded by the work of a number of others. I should like to refer to our own Research Report No. EM-100 by Douglas S. Jones and the undersigned entitled '/Asymptotic Exransion of Multiple Integrals and the Method of Stationary Phase. ' This report, as well as a number of others cited in the introduction and bibliography indicate the more recent work that has been done and the proq;re3S made beyond that in the paper by Kontorovitch and Murav...ev. Morris KlirB - 1 - Abstract In this paper we consider the deirivation of an asymptotic formula for surface integrals of oscillating functions (the method of stationary phase). 3y means of the fonriula so obtained we establish a connection between the laws of reflection of geometrical optics and the laws of classicrl electrodynamics taking as our starting point the integral formulation of the diffraction problem. 1. Preliminary remarks h large number of problems in mathematical physics and, in particular, in radio physics and in optics involves the computation of integrals of fast oscillating functions.

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