• Rapid Communication

Differences between emission patterns and internal modes of optical resonators

Stephen C. Creagh and Michael M. White
Phys. Rev. E 85, 015201(R) – Published 5 January 2012


The evanescent wave field outside an optical resonator is typically strongly directional when the shape deviates even very slightly from being perfectly circular or spherical. In this Rapid Communication we show that the tunneling mechanism underlying escape from such weakly deformed resonators can lead to emission patterns that look quite different to the corresponding internal mode. A direct short-wavelength analysis is not possible because the required complex ray data cannot be found due to the presence of natural boundaries. We show, however, that an approach based on perturbative approximation of the ray families successfully describes this phenomenon. In appropriate limits, the emission pattern allows one effectively to perform a direct observation of solutions of the one-dimensional Schrödinger equation in the complex plane.

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  • Received 13 September 2011


©2012 American Physical Society

Authors & Affiliations

Stephen C. Creagh and Michael M. White

  • School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom

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Vol. 85, Iss. 1 — January 2012

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