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Analytic structure of a family of hyperboloidal beams of potential interest for advanced LIGO

Galdi, Vincenzo and Castaldi, Giuseppe and Pierro, Vincenzo and Pinto, Innocenzo M. and Agresti, Juri and D'Ambrosio, Erika and DeSalvo, Riccardo (2006) Analytic structure of a family of hyperboloidal beams of potential interest for advanced LIGO. Physical Review D, 73 (12). Art. No. 127101. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:GALprd06

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Abstract

This paper is concerned with a study of the analytic structure of a family of hyperboloidal beams introduced by Bondarescu and Thorne which generalizes the nearly-flat and nearly-concentric mesa beam configurations of interest for advanced LIGO. Capitalizing on certain results from the applied optics literature on flat-top beams, a physically-insightful and computationally-effective representation is derived in terms of rapidly-converging Gauss-Laguerre expansions. A generalization (involving fractional Fourier transform operators of complex order) of some recently discovered duality relations between the nearly-flat and nearly-concentric mesa configurations is obtained. Possible implications for the advanced-LIGO optical cavity design are discussed.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.73.127101DOIUNSPECIFIED
Additional Information:©2006 The American Physical Society (Received 20 February 2006; published 22 June 2006) The work of J.A., E.D’A., and R.DS. is supported by the National Science Foundation under Grant No. PHY-0107417.
Issue or Number:12
Record Number:CaltechAUTHORS:GALprd06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:GALprd06
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4889
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:12 Sep 2006
Last Modified:02 Oct 2019 23:17

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