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The well—posedness of the formulation of diffraction problems reduced to Fredholm integral equations of the first kind with a smooth kernel

  • Electrodynamics and Wave Propagation
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Abstract

The well-posedness of diffraction problems that are reduced to Fredholm integral equations of the first kind with a smooth kernel is analyzed. The auxiliary source method and the method of extended boundary conditions, both of which involve solution of Fredholm integral equations of the first kind with a smooth kernel, are applied to show for specific examples that algorithms of calculation of all physically significant quantities—the scattering pattern, the field at an arbitrary spatial point except current-carrier points, etc.—are quite stable and allow for computation of the aforementioned quantities with a preassigned accuracy.

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Authors
  1. A. G. Kyurkchan
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  2. A. P. Anyutin
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Additional information

Original Russian Text © A.G. Kyurkchan, A.P. Anyutin, 2006, published in Radiotekhnika i Elektronika, 2006, Vol. 51, No. 1, pp. 54–57.

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Kyurkchan, A.G., Anyutin, A.P. The well—posedness of the formulation of diffraction problems reduced to Fredholm integral equations of the first kind with a smooth kernel. J. Commun. Technol. Electron. 51, 48–51 (2006). https://doi.org/10.1134/S1064226906010062

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  • DOI: https://doi.org/10.1134/S1064226906010062

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