On the Hilbert's Technique for Use in Diffraction Problems Described in terms of Bicomplex Mathematics

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概要

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• It is shown from the Hilbert's theory that if the real function Π(θ) has no zeros over the interval [0.2π], it can be factorized into a product of the factor π^+(θ) and its complex conjugate π^-(θ)(=π^+(θ)). This factorization is tested to decompose a real far-zone field pattern having zeros. To this end, the factorized factors are described in terms of bicomplex mathematics. In our bicomplex mathematics, the temporal imaginary unit "j" is newly defined to distinguish from the spatial imaginary unit i, both of which satisfy i^2=-1 and j^2=-1.

• 一般社団法人電子情報通信学会の論文
• 1998-02-25

著者

• Hashimoto Masahiro

  Osaka Electro-communication University

関連論文

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• 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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