Technique for inversion of an inhomogeneous bianisotropic slab through an optimisation approach

Abstract

An electromagnetic inversion method is presented to reconstruct the constitutive parameters of an inhomogeneous bianisotropic slab. The measured co-and cross-reflection and transmission coefficients are used to extract the electromagnetic parameters profiles of the inhomogeneous bianisotropic media from the proposed method, using truncated Fourier series expansion and Gravitational Search Algorithm (GSA). GSA is used to improve the speed and accuracy of the optimisation process because of the complexity of inhomogeneous bianisotropic media, highly non-linearity of optimisation problem, and extremely large search space. Finally, the accuracy and robustness of the proposed reconstruction method are validated using some typical examples.

On Fresnel-Airy Equations, Fabry-Perot Resonances and Surface Electromagnetic Waves in Arbitrary Bianisotropic Metamaterials

“…Durach et al taxonomy [32,33] provide a framework for future advances not only in the field of bianisotropic metamaterials, but also for hyperbolic metamaterials, already known for applications in optical imaging, hyperlensing, and emission rate and directivity control utilizing the diverging optical density of high-k states [22,24,39,40]. Researchers in bianisotropics are attempting to use the optical responses of specific bianisotropic metamaterial and metasurface structures including reflection, transmission, and scattering characteristics, resonances, surface electromagnetic waves (SEWs), and various properties of field distributions to retrieve the information about the effective material parameters [41][42][43][44][45][46][47][48][49][50][51][52][53][54] and the constituent meta-atoms [55][56][57][58]. Another important direction is to homogenize metamaterials composed of specific meta-atoms into an effective medium [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75] or inversely to use structure synthesis or modular approach of materiatronics…”

Radiation and scattering from a point source on an inhomogeneous substrate

“…Interaction analysis of plane waves with inhomogeneous media have been presented in the literature by several approaches such as Richmond [9], Riccati [10], full-wave analysis [11], finite-difference [12], Taylor's series expansion [13], Fourier series expansion [14,15], a semi-analytic method [16] and notation of propagators [17,18]. In the real world, waves are non-planar as they are generated by sources such as antennas and scatterers.…”