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

Agresti, Juri and Chen, Yanbei and D’Ambrosio, Erika and Savov, Pavlin (2012) Duality relation between nonspherical mirror optical cavities and its application to gravitational-wave detectors. Journal of the Optical Society of America A, 29 (9). pp. 1818-1827. ISSN 1084-7529 . http://resolver.caltech.edu/CaltechAUTHORS:20121031-084219068

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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 h(r⃗) and cavities deviating from concentric mirrors by −h(r⃗), where h need not be a small perturbation. We then illustrate its application to optical cavities, proposed for advanced interferometric gravitational-wave detectors, where the mirrors are designed to support beams with rather flat intensity profiles over the mirror surfaces. This unique mapping might be very useful in future studies of alternative optical designs for advanced gravitational wave interferometers or experiments employing optical cavities with nonstandard mirrors.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1364/JOSAA.29.001818DOIUNSPECIFIED
http://www.opticsinfobase.org/josaa/abstract.cfm?uri=josaa-29-9-1818PublisherUNSPECIFIED
Additional Information:© 2012 Optical Society of America. Received May 24, 2012; revised July 6, 2012; accepted July 9, 2012; posted July 10, 2012 (Doc. ID 168898); published August 9, 2012. We thank K.S. Thorne and W. Kells for useful discussions. Research of P.S. and Y.C. was supported by the National Science Foundation under grant No. PHY-0099568. Research of Y.C. was also sponsored by the Alexander von Humboldt Foundation’s Sofja Kovalevskaja Award (funded by the German Federal Ministry of Education and Research) and the David and Barbara Groce fund at the San Diego Foundation. Research of J.A. and E.D’A. was supported by National Science Foundation under grant No. PHY-0107417.
Group:TAPIR
Funders:
Funding AgencyGrant Number
NSFPHY-0099568
Alexander von Humboldt Foundation Sofja Kovalevskaja ProgrammeUNSPECIFIED
German Federal Ministry of Education and ResearchUNSPECIFIED
San Diego Foundation David and Barbara Groce FundUNSPECIFIED
NSFPHY-0107417
Classification Code:OCIS codes: 070.2580; 080.4228; 260.0260; 230.0230; 140.0140
Record Number:CaltechAUTHORS:20121031-084219068
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20121031-084219068
Official 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
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:35196
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:31 Oct 2012 17:00
Last Modified:17 Dec 2014 23:57

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