New Formulation of Boundary Diffraction
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概要
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It is shown that the vector potential, which is assumed in the Miyamoto-Wolf boundary diffraction, does not generally exist in the mathematically consistent scalar diffraction theory. Under the assumption that the boundary value is represented by a regular complex function, a new formula for the boundary diffraction is derived by using Cauchy's integral formula and the Rayleigh diffraction formula which is the unique consistent solution for the Helmholtz equation. In the special case of a circular aperture on the boundary, Poisson's formula for a harmonic function is applied to obtain the new boundary diffraction formula. When the boundary value is represented by a solution of the Dirichlet problem in two dimensions, a formally represented formula of the boundary diffraction is shown.
- 社団法人応用物理学会の論文
- 1977-11-05
著者
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Kojima Kenji
Department Of Information And Computer Sciences Faculty Of Engineering Toyo University
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Kojima Kenji
Department Of Electrical Engineering Faculty Of Engineering Kanagawa University
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