Reply to Comment on ‘The paradoxical zero reflection at zero energy’

Ahmed, Zafar; Sharma, Vibhu Saujanya; Sharma, Mayank; Singhal, Ankush; Kaiwart, Rahul; Priyadarshini, Pallavi

doi:10.1088/1361-6404/aa68ff

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2021

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“…We note that our approach connects with recent work in quantum mechanics by Ahmed et al where zero energy reflectionless potentials have been investigated in several cases [34][35][36], and where HBS supporting potentials have been subject to supersymmetric transformations to generate e.g. potentials supporting no bound states at all [37].…”

Section: Factorisation Methodssupporting

confidence: 53%

Supersymmetry, half-bound states, and grazing incidence reflection

Patient

Horsley

2021

J. Opt.

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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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Section: Factorisation Methodssupporting

confidence: 53%