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arXiv 2302.09476physics.opticscond-mat.mtrl-sciphysics.class-ph
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双各向异性球体的电磁散射

Electromagnetic Scattering by Bianisotropic Spheres

Maxim Durach

摘要:

体双各向异性介质中的电磁场可以使用平面波来表示,平面波的k矢量可以使用折射率算子方法来找到,并且属于落入用作双各向异性介质分类的5个双曲线类之一的菲涅耳波表面[Durach等人,应用科学,(2020),PIER(2022)]。已经证明,或者,矢量球谐函数的线性组合可以用作旋电、旋磁和旋向各向异性介质中的矢量亥姆霍兹方程的一组解,以发展各向异性球体散射的Mie理论[Lin,Chui,Phys.Rev.E(2004),Li,Ong,Zheng,Phys.Rev.E(2012)]。本文将双各向异性介质中的电磁轨道引入到矢量球谐函数的线性组合中,它表示双各向异性介质中Maxwells方程的一组解。利用这些双各向异性轨道,我们发展了一个理论的电磁辐射散射的双各向异性球与任意有效材料参数和尺寸。作为副产品,我们得到了一个简单的表达式,用于矢量平面波在矢量球谐函数上的展开(参见。Sarkar,Halas,Phys.Rev.E(1997))。我们得到了瑞利极限下的极化率表达式,与静电近似的结果一致[Lakhtakia,J.Phys(1990),Sihvola,Mic.光学技术Lett.(1994)]。

英文摘要:

Electromagnetic fields in bulk bianisotropic media can be represented using plane waves whose k-vectors can be found using the index of refraction operator method and belong to the Fresnel wave surfaces that fall into one of the 5 hyperbolic classes that are used as the taxonomy of bianisotropic media [Durach et al., Appl. Sci., Opt. Comm. (2020), PIER (2022)]. It has been demonstrated that, alternatively, the linear combinations of vector spherical harmonics can be used as a set of solutions of vector Helmholtz equation in gyroelectric, gyromagnetic, and gyrotropic anisotropic media to develop Mie theory of scattering by anisotropic spheres [Lin, Chui, Phys. Rev. E (2004), Li, Ong, Zheng, Phys. Rev. E (2012)]. In this paper we introduce electromagnetic orbitals for bianisotropic media as linear combinations of vector spherical harmonics, which represent a set of solutions of Maxwells equations in bianisotropic media. Using these bianisotropic orbitals we develop a theory of scattering of electromagnetic radiation by bianisotropic spheres with arbitrary effective material parameters and sizes. As a by-product we obtain a simple expression for the expansion of a vector plane wave over vector spherical harmonics (cf. Sarkar, Halas, Phys. Rev. E (1997)). We obtain the polarizability expressions in Rayleigh limit of our theory in agreement with the previous results of the electrostatic approximation [Lakhtakia, J. Phys (1990), Sihvola, Mic. Opt. Tech. Lett. (1994)].

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