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Accelerated convergence method for fast Fourier transform simulation of coupled cavities

Day, R. A. and Vajente, G. and du Mezeray, M. Pichot (2014) Accelerated convergence method for fast Fourier transform simulation of coupled cavities. Journal of the Optical Society of America A, 31 (3). pp. 652-660. ISSN 1084-7529. http://resolver.caltech.edu/CaltechAUTHORS:20150520-082155989

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Abstract

Fast Fourier transform (FFT) simulation was used to calculate the power and spatial distribution of resonant fields in optical cavities. This is an important tool when characterizing the effect of imperfect geometry and mirror aberrations. This method is, however, intrinsically slow when the cavities are of relatively high finesse. When this is the case, an accelerated convergence scheme may be used to calculate the steady-state cavity field with a speed that is orders of magnitude faster. The rate of convergence of this method, however, is unpredictable, as many different factors may detrimentally affect its performance. In addition, its use in multiple cavity configurations is not well understood. An in-depth study of the limitations and optimization of this method is presented, together with a formulation of its use in multiple cavity configurations. This work has not only resulted in consistent improvement in performance and stability of the accelerated convergence method but also allows the simulation of optical configurations, which would not previously have been possible.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1364/JOSAA.31.000652DOIArticle
https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-31-3-652PublisherArticle
Additional Information:© 2014 Optical Society of America. Received December 10, 2013; revised January 17, 2014; accepted January 23, 2014; posted January 29, 2014 (Doc. ID 202831); published February 27, 2014. The research activity of one of the authors (GV) was partially supported by Regione Toscana (Italy) through the program POR CreO FSE 2007-2013 of the European Community, within the project no. 18113 (ISAV). LIGO was constructed by the California Institute of Technology and Massachusetts Institute of Technology with funding from the United States National Science Foundation under grant PHY-0757058.
Funders:
Funding AgencyGrant Number
European Community Regione Toscana (Italy) POR CreO FSE 2007-201318113 (ISAV)
NSFPHY-0757058
Classification Code:OCIS codes: (070.7345) Wave propagation; (070.5753) Resonators
Record Number:CaltechAUTHORS:20150520-082155989
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150520-082155989
Official Citation:R. Day, G. Vajente, and M. Pichot du Mezeray, "Accelerated convergence method for fast Fourier transform simulation of coupled cavities," J. Opt. Soc. Am. A 31, 652-660 (2014)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:57685
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 May 2015 16:24
Last Modified:20 May 2015 16:24

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