Open AccessMathematical synthesis and analysis of a second-order magneto-electrically nonlinear metasurface
Author(s) -
Karim Achouri,
Yousef Vahabzadeh,
Christophe Caloz
Publication year - 2017
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.25.019013
Subject(s) - nonlinear system , isotropy , physics , optics , finite difference time domain method , perturbation theory (quantum mechanics) , scattering , magneto , nonlinear optics , perturbation (astronomy) , electric field , reflection (computer programming) , computer science , quantum mechanics , voltage , programming language
We propose a discussion on the synthesis and scattering analysis of nonlinear metasurfaces. For simplicity, we investigate the case of a second-order nonlinear isotropic metasurface possessing both electric and magnetic linear and nonlinear susceptibility components. We next find the synthesis expressions relating the susceptibilities to the specified fields, which leads to the definition of the nonlinear metasurface conditions for no reflection, themselves revealing the nonreciprocal nature of such structures. Finally, we provide the approximate expressions of the scattered fields based on perturbation theory and compare the corresponding results to finite-difference time-domain simulations.