Quantum mechanical analogue of optical microdisk resonators

R.P. Meeten, G.V. Morozov*

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

The complex wave number plane furnishes us with a natural way to seek resonant modes of quantum potentials and optical cavities. In this work we present the solution of the quantum mechanical analogue of an optical microdisk resonator. The rich dynamical behavior of the states is shown for a circular potential barrier in response to continuous variations of the parameters of the potential. In particular, the flows of the resonances go to limit points which are zeros of Hankel functions in complex wave number coordinates and zeros of Bessel functions in an alternative complex potentiodynamic coordinate system.
Original languageEnglish
Article number113917
Number of pages4
JournalPhysica E: Low-dimensional Systems and Nanostructures
Volume118
Early online date2 Jan 2020
DOIs
Publication statusE-pub ahead of print - 2 Jan 2020

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Optical resonators
optical resonators
Hankel functions
analogs
Bessel functions
cavities

Keywords

  • 2D circular quantum potential
  • Optical microcavities
  • Internal/external resonances
  • Attractors

Cite this

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AB - The complex wave number plane furnishes us with a natural way to seek resonant modes of quantum potentials and optical cavities. In this work we present the solution of the quantum mechanical analogue of an optical microdisk resonator. The rich dynamical behavior of the states is shown for a circular potential barrier in response to continuous variations of the parameters of the potential. In particular, the flows of the resonances go to limit points which are zeros of Hankel functions in complex wave number coordinates and zeros of Bessel functions in an alternative complex potentiodynamic coordinate system.

KW - 2D circular quantum potential

KW - Optical microcavities

KW - Internal/external resonances

KW - Attractors

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JO - Physica E: Low-dimensional Systems and Nanostructures

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