Bicomplex Waves in Electromagnetic Scattering and Diffraction Problems

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概要

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• The mathematical theory of bicomplex electromagnetic waves in two-dimensional scattering and diffraction problems is developed. The Vekua's integral expression for the two-dimensional fields valid only in the closed source-free region is generalized into the radiating field. The boundary-value problems for scattering and diffraction are formulated in the bicomplex space. The complex function of a single variable, which obeys the Cauchy-Riemann relations and thus expresses low-frequency aspects of the near field at a wedge of the scatterer, is connected with the radiating field by an integral operator having a suitable kernel. The behaviors of this complex function in the whole space are discussed together with those of the far-zone field or the amplitude of angular spectrum. The Hilbert's factorization scheme is used to find out a linear transformation from the far-zone field to the bicomplex-valued function of a single variable. This transformation is shown to be unique. The new integral expression for the field scattered by a thin metallic strip is also obtained.

• 一般社団法人電子情報通信学会の論文
• 2000-02-25

著者

• Hashimoto Masahiro

  The Department Of Applied Electronic Engineering Osaka Electro-communication University

• Hashimoto Masahiro

  The Dept. Of Lightwave Sciences Osaka Electro-communicatin University

関連論文

• Locations of Zeros for Electromagnetic Fields Scattered by Polygonal Objects(Basic Electromagnetic Analysis)(Wave Technologies for Wireless and Optical Communications)
• Two Variational Principles in Geometrical Optics : Comparisons (Special Issue on Electromagnetic Theory : Foundations and Applications)
• Bicomplex Waves in Electromagnetic Scattering and Diffraction Problems

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