Modified Spherical Wave Functions With Anisotropy Ratio: Application to the Analysis of Scattering by Multilayered Anisotropic Shells

• Published in: IEEE transactions on antennas and propagation 2007-12, Vol.55 (12), p.3515-3523
• Main Authors: Cheng-Wei Qiu, Zouhdi, S., Razek, A.
• Format: Article
• Language: English
• Subjects: Algorithms; Anisotropic magnetoresistance; Anisotropic media; Anisotropic ratio; Anisotropy; Applied classical electromagnetism; Applied sciences; Constitution; Diffraction, scattering, reflection; dyadic Green's functions (DGFs); Dyadics; Eigenvalues and eigenfunctions; Electromagnetic fields; Electromagnetic scattering; Electromagnetic wave absorption; Electromagnetic wave propagation, radiowave propagation; Electromagnetism; electron and ion optics; Engineering Sciences; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Mathematical analysis; Mathematical models; Mathematics; Mie scattering; modified spherical wave functions; Physics; radially multilayered structures; Radiocommunications; Radiowave propagation; recurrence matrix; Scattering; scattering and absorption; Telecommunications; Telecommunications and information theory; Tensile stress; Tensors; vector eigenfunction expansion; Wave functions
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2007.910491

We describe a novel and rigorous vector eigenfunction expansion of electric-type Green's dyadics for radially multi- layered uniaxial anisotropic media in terms of the modified spherical vector wave functions, which can take into account the effects of anisotropy ratio systematically. In each layer, the material constitutions e and epsiv macrmu macr are tensors and distribution of sources is arbitrary. Both the unbounded and scattering dyadic Green's functions (DGFs) for rotationally uniaxial anisotropic media are derived in spherical coordinates (r, thetas, phi). The coefficients of scattering DGFs, based on the coupling recursive algorithm satisfied by the coefficient matrix, are derived and expressed in a compact form. With these DGFs obtained, the electromagnetic fields in each layer are straightforward once the current source is known. A specific model is proposed for the scattering and absorption characteristics of multilayered uniaxial anisotropic spheres, and some novel performance regarding anisotropy effects is revealed.