113 citations · 142 across the 3 of their papers we have counts for
3 papers
Robust topology optimization of three-dimensional photonic-crystal band-gap structures
Han Men, Karen Y. K. Lee, Robert M. Freund +2
We perform full 3D topology optimization (in which "every voxel" of the unit cell is a degree of freedom) of photonic-crystal structures in order to find optimal omnidirectional ba…
Sufficient conditions for two-dimensional localization by arbitrarily weak defects in periodic potentials with band gaps
Arthur Parzygnat, Karen K. Y. Lee, Yehuda Avniel +1
We prove, via an elementary variational method, 1d and 2d localization within the band gaps of a periodic Schrodinger operator for any mostly negative or mostly positive defect pot…
Rigorous sufficient conditions for index-guided mode in microstructured dielectric waveguides
Karen K. Y. Lee, Yehuda Avniel, Steven G. Johnson
We derive a sufficient condition for the existence of index-guided modes in a very general class of dielectric waveguides, including photonic-crystal fibers (arbitrary periodic cla…