Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances

Autor: Sara Cruz y Cruz, Oscar Rosas-Ortiz
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2015 (2015)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2015/281472
Popis: A classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well-known resemblance between the guided and radiation modes of a waveguide with the bound and scattering states of a quantum well. As resonances are scattering states that spend some time in the zone of influence of the scatterer, we associate them with the leaky modes of a waveguide, the latter characterized by suffering attenuation in the direction of propagation but increasing exponentially in the transverse directions. The resemblance is complete because resonances (leaky modes) can be interpreted as bound states (guided modes) with definite lifetime (longitudinal shift). As an immediate application we calculate the leaky modes (resonances) associated with a dielectric homogeneous slab (square well potential) and show that these modes are attenuated as they propagate.
Databáze: Directory of Open Access Journals
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