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| Titel: |
NUMERICAL CALCULATION AND TABLES OF WEINSTEIN'S DIFFRACTION FUNCTIONS |
| Auteur: |
Lee, S. W. Grun, L. Bong, N. |
| Verschenen in: |
Electromagnetics |
| Paginering: | Jaargang 1 (1981) nr. 2 pagina's 187-207 |
| Jaar: |
1981 |
| Inhoud: |
Using the terminology of the Wiener-Hopf technique, the Weinstein's diffraction function is defined as the “plus” part G+ (s,p) of the Green's function [image omitted] This function plays an important role in the solutions of parallel-plate diffracti on problems, roughly equivalent to the Fresnel function in the half-plane diffraction problem. A table of G+(s,p) is given in Weinstein's book, The Theory of Diffraction and the Factorization Method (Golen Press, 1969), and a more extensive five-figure table was later published in Russian by E. I. Nefedov. Both tables are calculated from an approximate version of G+(s,p). In the present paper, we provide a s e t of numerical tables for exact Weinstein's diffraction functions, together with a summary of relevant formulas and a discussion of numerical computations. This paper studies the numerical calculation of a special function G+(s,p), which arises in the Wiener-Hopf solution of problems involving parallel plates . Our work is motivated by two factors. First, abrief numerical table of G+(s,p) was given by Weinstein [1;] , and a more extensive table was later publfshed i n Russian [2] . Both tables , however, were calculated from an approximate version of G+(s,p) and therefore do not have sufficient accuracy. Second, it is shown i n [3], [4] that, in the edge diffraction of parallel plates , GTD can be used in a convenient manner provided that the well-known Keller diffraction coefficient is modified by G+(s,p). In view of the wide applicability of GTD, it is desirable to calculate this modified coefficient without resorting to computers. This is possible when a numerical table of G+(s,p) is available. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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