Computation of the time-dependent Green鈥檚 functions for non-dispersive magnetoelectric materials

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• 作者：Valery G. Yakhno^a ; ^{valery.yakhno@deu.edu.tr} ; Tatyana M. Yakhno^b ; ^{tatyana.yakhno@izmir.edu.tr}
• 关键词：Magnetoelectric materials ; Bi-anisotropic media ; The time-dependent Maxwell&rsquo ; s equations ; Green&rsquo ; s functions ; Computation ; Simulation
• 刊名：International Journal of Engineering Science
• 出版年：2012
• 期刊代码：78_00207225
• 类别：et
• 出版时间：May, 2012
• 卷：54
• 期：Complete
• 页码：1-14
• 文件大小：1791 K

摘要

Homogeneous non-dispersive magnetoelectric (bi-anisotropic) materials, characterized by electric permittivity, magnetic permeability and magnetoelectric tensors, are considered in the paper. The tensors are supposed to be symmetric with constant elements. A new method of deriving the electric and magnetic Green鈥檚 functions is suggested in the paper. This method consists of several steps: equations for k-th column of electric and magnetic Green鈥檚 functions are reduced to a symmetric hyperbolic system containing six partial differential equations of the first order; the obtained symmetric hyperbolic system is written in terms of the Fourier transform; explicit formulae of the Fourier transform of k-th column of Green鈥檚 functions are derived using the matrix transformations; finally, the values of the Green鈥檚 functions have been derived numerically using the inverse Fourier transformation.