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Mathematical framework for simulation of quantum fields in complex interferometers using the two-photon formalism

Corbitt, Thomas and Chen, Yanbei and Mavalvala, Nergis (2005) Mathematical framework for simulation of quantum fields in complex interferometers using the two-photon formalism. Physical Review A, 72 (1). Art. No. 013818. ISSN 1050-2947. http://resolver.caltech.edu/CaltechAUTHORS:20170408-163418420

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Abstract

We present a mathematical framework for simulation of optical fields in complex gravitational-wave interferometers. The simulation framework uses the two-photon formalism for optical fields and includes radiation pressure effects, an important addition required for simulating signal and noise fields in next-generation interferometers with high circulating power. We present a comparison of results from the simulation with analytical calculation and show that accurate agreement is achieved.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevA.72.013818DOIArticle
https://arxiv.org/abs/quant-ph/0502088arXivDiscussion Paper
Additional Information:© 2005 American Physical Society. (Received 23 February 2005; published 22 July 2005) We thank our colleagues at the LIGO Laboratory, especially Keisuke Goda and David Ottaway, for stimulating discussions. We gratefully acknowledge support from National Science Foundation Grant Nos. PHY-0107417, PHY-0300345 and (for Y.C.) PHY-0099568. Y.C.’s research was also supported by the David and Barbara Groce Fund at the San Diego Foundation, as well as the Alexander von Humboldt Foundations’s Sofja Kovalevskaja Programme (funded by the German Federal Ministry of Education and Research). Y.C. thanks the MIT LIGO Laboratory for support and hospitality during his stay.
Group:LIGO, TAPIR
Funders:
Funding AgencyGrant Number
NSFPHY-0107417
NSFPHY-0300345
NSFPHY-0099568
David and Barbara Groce FundUNSPECIFIED
Alexander von Humboldt FoundationUNSPECIFIED
Deutsche Forschungsgemeinschaft (DFG)UNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
LIGOP030070-R
AEI2005-006
Classification Code:PACS numbers: 42.50.Dv, 04.80.Nn, 03.65.Ta, 95.55.Ym
Record Number:CaltechAUTHORS:20170408-163418420
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170408-163418420
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76211
Collection:CaltechAUTHORS
Deposited By: 1Science Import
Deposited On:07 Mar 2018 19:45
Last Modified:07 Mar 2018 20:47

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