Validity of effective-medium theory in Mie scattering calculation of hollow dielectric sphere

2006 7th International Symposium on Antennas, Propagation & EM Theory Pub Date : 2006-10-01 DOI:10.1109/ISAPE.2006.353552

Zhong-cai Yuan, Jia-ming Shi, Jia-chun Wang

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引用次数: 2

Abstract

The effective-medium theory is extended to calculate the equivalent dielectric constants of hollow spheres. The Maxwell-Garnett, inverted Maxwell-Garnett, and Monecke rules are adopted to investigate the hollow ice spheres. Compared with P. Yang's paper, very different Maxwell-Garnett and inverted Maxwell-Garnett formulas but identical mean permittivity values are presented. In order to verify the validity of effective-medium theory in Mie scattering calculation of hollow dielectric spheres, n-layered Mie solution is adopted to calculate the scattering of hollow ice spheres. The mean permittivity values are used in common Mie scattering calculation of uniform sphere. By comparison, it is evident that the effective-medium theory is suitable for small size parameters. For size parameter is about ten, the effective theory is suitable for a very thin hollow ice sphere. At last, it is pointed out that the effective-medium theory make Mie scattering calculation of hollow spheres easier, and can be extended further to non-uniform and eccentric hollow spheres.

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有效介质理论在中空介质球Mie散射计算中的有效性

将有效介质理论推广到空心球等效介电常数的计算中。采用麦克斯韦-加内特规则、倒麦克斯韦-加内特规则和Monecke规则研究空心冰球。与P. Yang的论文相比，给出了完全不同的麦克斯韦-加内特公式和倒麦克斯韦-加内特公式，但平均介电常数值相同。为了验证有效介质理论在中空介质球Mie散射计算中的有效性，采用n层Mie溶液计算中空介质球的散射。平均介电常数值用于均匀球的普通米氏散射计算。对比表明，有效介质理论适用于小尺寸参数。当尺寸参数约为10时，有效理论适用于非常薄的空心冰球。最后指出有效介质理论使空心球的Mie散射计算更加容易，并可进一步推广到非均匀偏心空心球。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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2006 7th International Symposium on Antennas, Propagation & EM Theory

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