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We present an analytical theory of 2D topologically protected guided photonic modes for continuous periodic dielectric structures, modulated by a domain wall. We then numerically corroborate the applicability of this theory for 3D structures.
We investigate scattering, localization, and dispersive time decay properties for the one‐dimensional Schrödinger equation with a rapidly oscillating and spatially localized potential
, where
is periodic and mean zero with respect to y. Such potentials model a microstructured medium. Homogenization theory fails to capture the correct low‐energy (k small) behavior of scattering quantities,...
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