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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 17, Iss. 9 — Sep. 1, 2000
  • pp: 1642–1649

Principles of calculating the dynamical response of misaligned complex resonant optical interferometers

Daniel Sigg and Nergis Mavalvala  »View Author Affiliations

JOSA A, Vol. 17, Issue 9, pp. 1642-1649 (2000)

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In the long-baseline laser interferometers for measuring gravitational waves that are now under construction, understanding the dynamical response to small distortions such as angular alignment fluctuations presents a unique challenge. These interferometers comprise multiple coupled optical resonators with light storage times approaching 100 m. We present a basic formalism to calculate the frequency dependence of periodic variations in angular alignment and longitudinal displacement of the resonator mirrors. The electromagnetic field is decomposed into a superposition of higher-order spatial modes, Fourier frequency components, and polarization states. Alignment fluctuations and length variations of free-space propagation are represented by matrix operators that act on the multicomponent state vectors of the field.

© 2000 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(220.1140) Optical design and fabrication : Alignment

Original Manuscript: October 20, 1999
Revised Manuscript: May 10, 2000
Manuscript Accepted: May 10, 2000
Published: September 1, 2000

Daniel Sigg and Nergis Mavalvala, "Principles of calculating the dynamical response of misaligned complex resonant optical interferometers," J. Opt. Soc. Am. A 17, 1642-1649 (2000)

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