Solid-angle factor in the magnetic-field integral equation

Solid-angle factor in the magnetic-field integral equation
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DOI:
10.1002/mop.20851
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发表时间:
2005-06
影响因子:
1.5
通讯作者:
O. Ergul;L. Gurel
O. Ergul;L. Gurel
中科院分区:
工程技术4区
文献类型:
--
作者:
O. Ergul;L. Gurel

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由于源区域磁场的极限值,磁场积分方程 (MFIE) 包含依赖于几何形状的立体角因子。立体角因子的确定变得令人困惑,特别是在由 MFIE 和几何图形同时离散化引起的几何不连续点处。在本文中,我们通过仔细研究 MFIE 公式的磁场辐射积分来澄清这一歧义。我们证明,如果正确处理奇异源区域磁场表达式,则可以隐式确定立体角因子,从而消除在公式中猜测或显式插入立体角值的需要。 © 2005 Wiley periodicals, Inc. Microwave Opt Technol Lett 45: 452–456, 2005;在线发表于 Wiley InterScience (www.interscience.wiley.com)。 DOI 10.1002/mop.20851
The magnetic-field integral equation (MFIE) contains a geometry-dependent solid-angle factor due to the limit value of the magnetic field at the source region. Determination of the solid-angle factor becomes bewildering, especially at the points of geometric discontinuities caused by the simultaneous discretization of the MFIE and the geometry. In this paper, we clarify the ambiguity by scrutinizing the magnetic-field radiation integrals of the MFIE formulation. We prove that the solid-angle factor can be implicitly determined if the singular source-region magnetic-field expressions are correctly treated, thus eliminating the need for guessing or explicitly inserting solid-angle values in the formulation. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 45: 452–456, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20851