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Tran, Minh C.; Do, Cuong C.; Tran, Truong X.

Klein tunneling through a rectangular potential barrier in a binary waveguide array. (English) Zbl 1519.81235

Ann. Phys. 450, Article ID 169241, 12 p. (2023).
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.

MSC:

81Q37 Quantum dots, waveguides, ratchets, etc.
81U26 Tunneling in quantum theory
57R67 Surgery obstructions, Wall groups
81R20 Covariant wave equations in quantum theory, relativistic quantum mechanics
78A50 Antennas, waveguides in optics and electromagnetic theory
35C08 Soliton solutions
81-10 Mathematical modeling or simulation for problems pertaining to quantum theory

Keywords:

binary waveguide array; Klein tunneling; rectangular potential barrier; Dirac soliton; quantum relativistic effect; quantum-optical analogy
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