Supersymmetry, half-bound states, and grazing incidence reflection

• URL: http://arxiv.org/abs/2011.13621v1
• Date: Fri, 27 Nov 2020 09:24:58 GMT
• Title: Supersymmetry, half-bound states, and grazing incidence reflection
• Authors: D. A. Patient and S. A. R. Horsley
• Abstract summary: Electromagnetic waves at grazing incidence onto a planar medium are analogous to zero energy quantum particles incident onto a potential well. Here we explore dielectric profiles supporting optical analogues of half-bound states', allowing for zero reflection at grazing incidence.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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