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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 14 — May. 10, 2014
  • pp: 3043–3048

Analytical description of interference between two misaligned and mismatched complete Gaussian beams

Gudrun Wanner and Gerhard Heinzel  »View Author Affiliations

Applied Optics, Vol. 53, Issue 14, pp. 3043-3048 (2014)

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A typical application for laser interferometers is a precision measurement of length changes that results in interferometric phase shifts. Such phase changes are typically predicted numerically, due to the complexity of the overlap integral that needs to be solved. In this paper we will derive analytical representations of the interferometric phase and contrast (aka fringe visibility) for two beam interferometers, both homodyne and heterodyne. The fundamental Gaussian beams can be arbitrarily misaligned and mismatched to each other. A limitation of the analytical result is that both beams must be detected completely, which can experimentally be realized by a sufficiently large single-element photodetector.

© 2014 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(200.1130) Optics in computing : Algebraic optical processing

ToC Category:
Optics in Computing

Original Manuscript: February 27, 2014
Revised Manuscript: April 2, 2014
Manuscript Accepted: April 3, 2014
Published: May 7, 2014

Gudrun Wanner and Gerhard Heinzel, "Analytical description of interference between two misaligned and mismatched complete Gaussian beams," Appl. Opt. 53, 3043-3048 (2014)

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