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.
|Number of pages||4|
|Journal||Physica E: Low-dimensional Systems and Nanostructures|
|Early online date||2 Jan 2020|
|Publication status||Published - Apr 2020|
- 2D circular quantum potential
- Optical microcavities
- Internal/external resonances