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Mixed Spatial-Spectral Domain Analysis of Spatially Dispersive Metasurfaces using Higher-Order Boundary Conditions
  • Jordan Dugan,
  • Tom J Smy,
  • Shulabh Gupta
Jordan Dugan
Tom J Smy
Shulabh Gupta

Corresponding Author:[email protected]

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Abstract

Higher-order boundary conditions are a useful tool for simplification of complex electromagnetic problems, such as spatially dispersive metasurfaces. A technique known as the Extended Generalized Sheet Transition Conditions (GSTCs) method has recently been proposed that allows for the systematic simulation of spatially dispersive metasurfaces using higherorder boundary conditions. A general metasurface, in general requires a boundary condition of infinite order spatial derivatives to accurately model the surface, making them unsuitable for conventional full-wave modeling techniques where higherorder derivatives are computed numerically. Here we propose a mixed spatial-spectral domain representation of the boundary conditions that avoids the explicit computation of higher-order derivatives while still being in a form suitable for integration into standard numerical methods. We integrate these boundary conditions into an integral equation solver which is then successfully validated through several numerical examples.
11 Mar 2024Submitted to TechRxiv
18 Mar 2024Published in TechRxiv