An efficient method of moments for analysis of electromagnetic scattering from a multilayered arbitrary-shape anisotropic dielectric object

IF 1.1 4区 计算机科学 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC
Mona Kalantari, Seyed Hossein Hesamedin Sadeghi
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Abstract

This paper introduces an efficient method of moments (MoM) designed to explore electromagnetic scattering in multilayered anisotropic structures. Each layer is made up of a dielectric anisotropic material characterised by a generalised tensor for permittivity, which is unrestricted in its geometrical configuration. The authors’ approach analyses each layer independently, employing the surface equivalence theorem to substitute the interfaces between layers with suitable equivalent electric and magnetic surface current densities. The authors derive the necessary surface integral equations (SIEs) for each interface by implementing the proper boundary conditions. The analysis utilises rotated dyadic Green's functions that populate the infinite space with the material properties specific to each anisotropic layer. The rotation angle corresponds to the deviation between the local principal coordinate system of the material and the global coordinate system, which is determined by diagonalising the full dielectric tensor of the respective anisotropic material given in the global coordinate system. To address the SIEs for determining the unknown equivalent electric and magnetic surface current densities, Galerkin's MoM is applied. This involves expanding the unknown surface currents using suitable basis functions, simplifying the issue to a matrix equation solved through the inversion of a block-tridiagonal impedance matrix. The diagonal nature and sparse structure of the impedance matrix, along with an effective block-inversion method, significantly boost computational efficiency and reduce memory demands. To demonstrate the feasibility of the proposed method, the authors present a detailed derivation of the impedance matrix for the case of non-magnetic uniaxial anisotropic media for which the Green's functions are available in closed form. The validity and efficiency of the proposed SIE-MoM scheme are demonstrated by comparing the results of several case studies against those found in literature and results obtained via commercial numerical codes.

Abstract Image

一种分析多层任意形状各向异性介质物体电磁散射的有效矩量方法
本文介绍了一种有效的矩量法,用于研究多层各向异性结构中的电磁散射。每一层都由介电各向异性材料组成,其特征是介电常数的广义张量,其几何构型不受限制。该方法采用表面等效定理,用合适的等效电、磁表面电流密度代替层间的界面,对各层进行独立分析。通过实现适当的边界条件,推导出各界面的必要曲面积分方程。分析利用旋转的并矢格林函数,填充无限空间的材料属性特定于每个各向异性层。旋转角度对应于材料的局部主坐标系与全局坐标系之间的偏差,该偏差是通过对角化全局坐标系中给定的各向异性材料的全介电张量来确定的。为了解决用于确定未知等效电和磁表面电流密度的si,应用了伽辽金MoM。这涉及到使用合适的基函数扩展未知的表面电流,将问题简化为通过块三对角阻抗矩阵的反演来求解的矩阵方程。阻抗矩阵的对角线性质和稀疏结构,以及有效的块反演方法,显著提高了计算效率,降低了内存需求。为了证明所提出的方法的可行性,作者给出了非磁性单轴各向异性介质的阻抗矩阵的详细推导,其中格林函数以封闭形式可用。通过将几个案例研究的结果与文献中发现的结果和通过商业数字代码获得的结果进行比较,证明了所提出的si - mom方案的有效性和效率。
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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来源期刊
Iet Microwaves Antennas & Propagation
Iet Microwaves Antennas & Propagation 工程技术-电信学
CiteScore
4.30
自引率
5.90%
发文量
109
审稿时长
7 months
期刊介绍: Topics include, but are not limited to: Microwave circuits including RF, microwave and millimetre-wave amplifiers, oscillators, switches, mixers and other components implemented in monolithic, hybrid, multi-chip module and other technologies. Papers on passive components may describe transmission-line and waveguide components, including filters, multiplexers, resonators, ferrite and garnet devices. For applications, papers can describe microwave sub-systems for use in communications, radar, aerospace, instrumentation, industrial and medical applications. Microwave linear and non-linear measurement techniques. Antenna topics including designed and prototyped antennas for operation at all frequencies; multiband antennas, antenna measurement techniques and systems, antenna analysis and design, aperture antenna arrays, adaptive antennas, printed and wire antennas, microstrip, reconfigurable, conformal and integrated antennas. Computational electromagnetics and synthesis of antenna structures including phased arrays and antenna design algorithms. Radiowave propagation at all frequencies and environments. Current Special Issue. Call for papers: Metrology for 5G Technologies - https://digital-library.theiet.org/files/IET_MAP_CFP_M5GT_SI2.pdf
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