## Duality relation between nonspherical mirror optical cavities and its application to gravitational-wave detectors |

JOSA A, Vol. 29, Issue 9, pp. 1818-1827 (2012)

http://dx.doi.org/10.1364/JOSAA.29.001818

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### Abstract

In this paper, we analytically prove a unique duality relation between the eigenspectra of paraxial optical cavities with nonspherical mirrors: a one-to-one mapping between eigenmodes and eigenvalues of cavities deviating from flat mirrors by

© 2012 Optical Society of America

**OCIS Codes**

(070.2580) Fourier optics and signal processing : Paraxial wave optics

(140.0140) Lasers and laser optics : Lasers and laser optics

(230.0230) Optical devices : Optical devices

(260.0260) Physical optics : Physical optics

(080.4228) Geometric optics : Nonspherical mirror surfaces

**ToC Category:**

Fourier Optics and Signal Processing

**History**

Original Manuscript: May 24, 2012

Revised Manuscript: July 6, 2012

Manuscript Accepted: July 9, 2012

Published: August 9, 2012

**Citation**

Juri Agresti, Yanbei Chen, Erika D’Ambrosio, and Pavlin Savov, "Duality relation between nonspherical mirror optical cavities and its application to gravitational-wave detectors," J. Opt. Soc. Am. A **29**, 1818-1827 (2012)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-9-1818

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