Modeling of Sloped Interfaces on a Yee Grid

Shyroki, Dzmitry M.

doi:10.1109/TAP.2011.2161559

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Modeling of Sloped Interfaces on a Yee Grid

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Shyroki, Dzmitry M.
Nonlinear Optics and Nanophotonics, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Shyroki, D. M. (2011). Modeling of Sloped Interfaces on a Yee Grid. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 59(9), 3290-3295. doi:10.1109/TAP.2011.2161559.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6993-F

Abstract

To represent material boundaries in the finite-difference time-domain or frequency-domain method, effective cell permittivity epsilon(eff) can be introduced for each grid cell crossed by material interface. In this paper we revisit the derivation of tensorial epsilon(eff) for a sloped interface, and describe possible interpolation schemes for coupling of different effective electric field and induction components near the interface. We put the resulting non-symmetric and symmetrized effective permittivity matrices to numerical tests in the frequency domain. For very-high-contrast interfaces the symmetrized schemes perform worse than simple staircasing while non-symmetrized interpolation retains the second-order convergence.