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Those complaints comprise lectures given on the N. A. T. O. complicated research Institute entitled "Scattering thought in arithmetic and Physics" held in Denver, Colorado, June 11-29, 1973. now we have assembled the most sequence of lectures and a few provided through different members that appeared evidently to counterpoint them.

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______. 10- 3 3 2 Fig. 7 We use graphs to show the results of computing the intensity of the field (I rl~ 0, t -1) for a fixed value of 0.. The program written can be used to compute the function lu~ ( S, Cl) 1. , 't.. Iu,. - con~t); the parameters of the problem are shown on the figures. The qualitative picture of the variation of the field in a neighborhood of a limiting ray for the sphere is in agreement with the results obtained for the planar case in [8]. In that paper the diffraction of a spherical wave by a planar boundary between two media with n< f is studied, and the coefficient of reflection of the spherical wave is computed for various values of the parameters of the problem.

Buldyrev for his eonstant interest in this work and for diseussion of the results. 0. 5-4. We replaee the Air~ functions W (T) and ~ (T) appearing in the integrand of the integral for as follow§: GM (Y) by functions of W (1) U t (I) where We then represent GM (~) as a sum of two integrals The integrals over the line segments (2Te-}li~ 0) and (O,2T+ e'i l can be redueed to integrals over the intervals (2T_, 0) and (0,2T+ I of the realline. If we then use the relations [9] (11) . (TI RQ G/,4(n and and 11'(T) , are real Airy functions, and carry out the eorresponding eomputations, then for Im GM(r!

4 Fig. 2 Fig. 6 INTERFERENCE WAVES FOR DIFFRACTION BY CYLINDER AND SPHERE is interseeted along the are I U2; (rl I dd 35 (Fig. 5). Figure 9 shows the results of eomputing the field intensity (dashed lines) along the line tt (Fig. 5) parallel to the plane T T. For eomparison, Fig. = coMt. It is evident that in the region ~< 0 the field intensity eomputed along the line tt exeeeds that along the are cici (in the region > 0). r For the ease of a eylinder, the field in a neighborhood of a limiting ray ean be studied in a similar manner.