Klein tunneling through a rectangular potential barrier in a binary waveguide array

We analytically and numerically investigate the optical analog of the quantum relativistic Klein tunneling of a particle through a large repulsive rectangular potential barrier. This quantum relativistic model can be mimicked and analyzed by studying the propagation of a Dirac soliton in a binary wa...

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Bibliographic Details
Published in:Annals of physics 2023-03, Vol.450, p.169241, Article 169241
Main Authors: Tran, Minh C., Do, Cuong C., Tran, Truong X.
Format: Article
Language:English
Subjects:
Binary waveguide array
Dirac soliton
Klein tunneling
Quantum relativistic effect
Quantum-optical analogy
Rectangular potential barrier
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Summary:We analytically and numerically investigate the optical analog of the quantum relativistic Klein tunneling of a particle through a large repulsive rectangular potential barrier. This quantum relativistic model can be mimicked and analyzed by studying the propagation of a Dirac soliton in a binary waveguide array (BWA). The rectangular potential step in this platform is created by introducing a certain offset for waveguides’ refractive indices. We analytically derive the transmission coefficients of plane waves through the rectangular potential step in BWAs and also in the continuous model in free space. We demonstrate that the analytical transmission coefficient in the discrete model with BWAs is in strikingly perfect agreement with the simulations-based results.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2023.169241