“…In our work, we let and , and should be infinite in order to transform a plane-wave scattering problem into a radiation problem [25]. Note that, conventionally, only plane-wave incidence is considered in the problems of scattering by anisotropic spheres.…”
Section: Numerical Validation and Anisotropy Sutdymentioning
Abstract-We describe a novel and rigorous vector eigenfunction expansion of electric-type Green's dyadics for radially multilayered 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 and 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 ( ). 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.Index Terms-Anisotropic ratio, dyadic Green's functions (DGFs), modified spherical wave functions, radially multilayered structures, recurrence matrix, scattering and absorption, vector eigenfunction expansion.
“…In our work, we let and , and should be infinite in order to transform a plane-wave scattering problem into a radiation problem [25]. Note that, conventionally, only plane-wave incidence is considered in the problems of scattering by anisotropic spheres.…”
Section: Numerical Validation and Anisotropy Sutdymentioning
Abstract-We describe a novel and rigorous vector eigenfunction expansion of electric-type Green's dyadics for radially multilayered 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 and 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 ( ). 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.Index Terms-Anisotropic ratio, dyadic Green's functions (DGFs), modified spherical wave functions, radially multilayered structures, recurrence matrix, scattering and absorption, vector eigenfunction expansion.
“…Basically, chirality is defined as the property of a structure of being non-superimposable onto its mirror image [1]. Recently, there is rapid development on the study of electromagnetic wave propagation in chiral media [1][2][3][4][5][6][7][8]. The possibility of realizing negative refraction by chiral nihility was first discussed by Tretyakov et al (2003) [9].…”
Abstract-In this paper, the applications of chiral layers and metamaterials as radar absorbing materials are investigated. A perfect electric conductor plate covered by a chiral metamaterial is considered and after the formulation of the problem, reflection of the structure under an oblique plane wave incidence of arbitrary polarization is investigated. Then several examples of the applications of chiral layers in nondispersive, dispersive, and chiral nihility conditions are provided to design of zero reflection coatings. Finally, application of chiral metamaterial structures as microwave absorbers is discussed. In some of the provided examples, the method of genetic algorithm is used to optimize chiral coatings for the minimization of co-and cross reflected power.
“…According to radiation-to-scattering transform [25], the scattering problem can be considered as the specific radiation problems where the radiating source is located at infinity which generates the plane wave. Since the wave equation in the unbounded chiral media can be decoupled to the right-and left-handed circularly polarized (RCP and LCP) waves, the incident wave can be expressed as the sum of RCP and LCP waves and linearly polarized wave under certain conditions.…”
Abstract-An analytic solution to the problem of plane wave scattering by an achiral multilayered sphere in a host chiral medium is obtained in this paper. By applying the radiation-to-scattering transform, the scattering problem can be considered as the specific radiation problems where the radiated source equivalent to the electromagnetic plane wave is located at infinity. The volumetric currents which generate right circular polarization (RCP) and left circular polarization (LCP) plane waves, respectively, are found. An integral equation consisting the volumetric current distributions and the dyadic Green's functions is formulated to obtain both the equivalent incident wave fields and the scattered fields. Two-layered lossless and lossy dielectric spheres and a conducting sphere with a dielectric coated layer buried in an infinitely extended host chiral medium are considered and the expressions for the scattered fields in far-zone are found in explicit analytic form. The characteristics of scattered fields are illustrated and discussed in terms of the circular polarization degree and linear polarization degree against different chiral admittances and sizes.
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