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

Creators: Corbitt, Thomas; Chen, Yanbei; Mavalvala, Nergis

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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.

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.

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