36 citations · 97 across the 4 of their papers we have counts for
4 papers
Speed-of-light limitations in passive linear media
Aaron Welters, Yehuda Avniel, Steven G. Johnson
We prove that well-known speed of light restrictions on electromagnetic energy velocity can be extended to a new level of generality, encompassing even nonlocal chiral media in per…
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…
Computation and visualization of photonic quasicrystal spectra via Blochs theorem
Alejandro W. Rodriguez, Alexander P. McCauley, Yehuda Avniel +1
Previous methods for determining photonic quasicrystal (PQC) spectra have relied on the use of large supercells to compute the eigenfrequencies and/or local density of states (LDOS…