Supersymmetry, Half-Bound States, And Grazing Incidence Reflection
JOURNAL OF OPTICS(2021)
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, showing that discretized approximations to these profiles exhibit low reflectivity close to grazing incidence.
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Key words
half bound states, no reflection at grazing, factorisation method &, SUSY
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