Title: Studies in radar cross sections : XLIV integral representations of solutions of the Helmholtz equation with application to diffraction by a strip
Abstract:Abstract : A class of solutions is derived of the two dimensional Helmholtz equation which satisfied particularly simple boundary conditions. These were used to construct a double integral equation fo...Abstract : A class of solutions is derived of the two dimensional Helmholtz equation which satisfied particularly simple boundary conditions. These were used to construct a double integral equation for the Green's function for a line segment. When the line segment was infinite a double integral representation was obtained of the difference of two Hankel functions (line sources). For the case when the line was semi-infinite the known result for the Green's function was used to obtain, via the integral equation, an integral representation for this same Green's function. This integral form, when properly interpreted, led to the corresponding form for the Green's function for a finite segment and this assertion was verified. (Author)Read More
Publication Year: 1961
Publication Date: 1961-02-01
Language: en
Type: article
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