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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 1 — Jan. 1, 2010
  • pp: 58–68

Gaussian beam interaction with an air-gap Fizeau interferential wedge

Elena Stoykova and Marin Nenchev  »View Author Affiliations


JOSA A, Vol. 27, Issue 1, pp. 58-68 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000058


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Abstract

We describe a plane-wave-expansion approach for calculation of the fringe pattern in transmission and reflection for a Gaussian monochromatic beam. Both positive and negative incidence, at which the incident light beam undergoes multiple reflections within the wedge in direction of increasing or decreasing wedge thickness respectively, are analyzed. It is shown that the two opposite incidences of the light beam are described by the same mathematical expressions; i.e., the transmitted/reflected fringe pattern at positive incidence is a continuation of the pattern at negative incidence at some distance from the wedge. Numerical simulations are made for a high-reflectivity-coating air-gap Fizeau interferential wedge with apex angle of 5 100 μ rad and thickness of 5 500 μ m as a useful optical element in laser resonator design. Experimental verification is also provided.

© 2009 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: April 14, 2009
Revised Manuscript: September 11, 2009
Manuscript Accepted: September 24, 2009
Published: December 9, 2009

Citation
Elena Stoykova and Marin Nenchev, "Gaussian beam interaction with an air-gap Fizeau interferential wedge," J. Opt. Soc. Am. A 27, 58-68 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-1-58

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