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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 24 — Dec. 2, 2013
  • pp: 29578–29591

Interferometer phase noise due to beam misalignment on diffraction gratings

Deepali Lodhia, Daniel Brown, Frank Brückner, Ludovico Carbone, Paul Fulda, Keiko Kokeyama, and Andreas Freise  »View Author Affiliations

Optics Express, Vol. 21, Issue 24, pp. 29578-29591 (2013)

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All-reflective interferometer configurations have been proposed for the next generation of gravitational wave detectors, with diffractive elements replacing transmissive optics. However, an additional phase noise creates more stringent conditions for alignment stability. A framework for alignment stability with the use of diffractive elements was required using a Gaussian model. We successfully create such a framework involving modal decomposition to replicate small displacements of the beam (or grating) and show that the modal model does not contain the phase changes seen in an otherwise geometric planewave approach. The modal decomposition description is justified by verifying experimentally that the phase of a diffracted Gaussian beam is independent of the beam shape, achieved by comparing the phase change between a zero-order and first-order mode beam. To interpret our findings we employ a rigorous time-domain simulation to demonstrate that the phase changes resulting from a modal decomposition are correct, provided that the coordinate system which measures the phase is moved simultaneously with the effective beam displacement. This indeed corresponds to the phase change observed in the geometric planewave model. The change in the coordinate system does not instinctively occur within the analytical framework, and therefore requires either a manual change in the coordinate system or an addition of the geometric planewave phase factor.

© 2013 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(050.5080) Diffraction and gratings : Phase shift

ToC Category:
Diffraction and Gratings

Original Manuscript: March 27, 2013
Revised Manuscript: October 11, 2013
Manuscript Accepted: October 16, 2013
Published: November 22, 2013

Deepali Lodhia, Daniel Brown, Frank Brückner, Ludovico Carbone, Paul Fulda, Keiko Kokeyama, and Andreas Freise, "Interferometer phase noise due to beam misalignment on diffraction gratings," Opt. Express 21, 29578-29591 (2013)

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