Supersymmetry, half-bound states, and grazing incidence reflection
arXiv:2011.13621 · doi:10.1088/2040-8986/ac01b1
Abstract
Electromagnetic waves at grazing incidence onto a planar medium are analogous to zero energy quantum particles incident onto a potential well. In this limit waves are typically completely reflected. Here we explore dielectric profiles supporting optical analogues of `half-bound states', allowing for zero reflection at grazing incidence. To obtain these profiles we use two different theoretical approaches: supersymmetric quantum mechanics, and direct inversion of the Helmholtz equation.
15 pages, 6 figures