A Note on Bicomplex Representation for Electromagnetic Fields in Scattering and Diffraction Problems and Its High-Frequency and Low-Frequency Approximations

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概要

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• A bicomplex representation for time-harmonic electromagnetic fields appearing in scattering and diffraction problems is given using two imaginary units i and j. Field-solution integral-expressions obtained in the high-frequency and low-frequency limits are shown to provide the new relationship between high-frequency diffraction and low-frequency scattering. Simple examples for direct scattering problems are illustrated. It may also be possible to characterize electric or magnetic currents induced on the obstacle in terms of geometrical optics far-fields. This paper outlines some algebraic rules of bicomplex mathematics for diffraction or scattering fields and describes mathematical evidence of the solutions. Major discussions on the relationship between high-frequency and low-frequency fields are relegated to the companion paper [I] which will be published in another journal.

• 社団法人電子情報通信学会の論文
• 1997-11-25

著者

• Hashimoto M

  Osaka Electro‐communication Univ. Neyagawa‐shi Jpn

• Hashimoto Masahiro

  Osaka Electro‐communication Univ. Neyagawa‐shi Jpn

• Hashimoto Masahiro

  Osaka Electro-communication University

関連論文

• A Note on Bicomplex Representation for Electromagnetic Fields in Scattering and Diffraction Problems and Its High-Frequency and Low-Frequency Approximations
• Some Remarks on the Extension of Numerical Data to the Complex Space for Radiation Patterns in Electromagnetic Scattering Problems
• FOREWORD (Special Issue on Electromagnetic Theory : Foundations and Applications)
• The Center of Scattering : Where is the Center of a Polygonal Cylinder for Electromagnetic Scattering?
• On the Hilbert's Technique for Use in Diffraction Problems Described in terms of Bicomplex Mathematics

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