Kavli Affiliate: Feng Wang
| First 5 Authors: Sukhad Dnyanesh Joshi, Sukhad Dnyanesh Joshi, , ,
| Summary:
Leveraging our structure-adaptive topology optimization framework based on
the integration of the photonic density of states over a frequency window for
the TM polarization of light [see A. Bahulikar et al., arXiv:2411.09165
(2025)], we show that the $Gamma$-point and full Brillouin zone integration
schemes can also recover two-dimensional photonic crystals for TE polarization.
For the $Gamma$-point formalism, we employ the scalar magnetic field
formulation of the electromagnetic wave equation with independent sources
polarized in the x and y directions. For the full Brillouin zone formalism, we
employ the vector electric field formulation of the electromagnetic wave
equation, again with independent sources polarized in the x and y directions.
This work can simultaneously treat frequency-dependent optical response, allow
for targeted optimization for a given frequency and reciprocal lattice vector
pair, and inherently encourage binarized designs.
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