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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

  • Vol. 11, Iss. 7 — Jul. 1, 1994
  • pp: 2045–2054

Interference pattern of the Fizeau interferometer

T. T. Kajava, H. M. Lauranto, and A. T. Friberg  »View Author Affiliations


JOSA A, Vol. 11, Issue 7, pp. 2045-2054 (1994)
http://dx.doi.org/10.1364/JOSAA.11.002045


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Abstract

We analyze the structure and properties of the fringe pattern formed by a high-reflectivity Fizeau interferometer. Our analysis is based on the plane-wave representation of the wave field that is generated when an incident wave interacts with two planar mirrors that form a slight wedge. In particular, we show that within the parabolic approximation the field behind the wedge is self-imaging; it is periodic both in the direction of the incoming beam and in the perpendicular direction. Our approach lends itself to a unified and comprehensive treatment of the fringe transformation properties that occur when the system parameters are varied. The differences between the paraxial-optics and actual fringe patterns are discussed, and three-dimensional intensity plots are used to illustrate the main characteristics of the complex interference structures. Optimal detector locations are evaluated, and some concepts in Fizeau interferometry are clarified.

© 1994 Optical Society of America

History
Original Manuscript: July 12, 1993
Revised Manuscript: February 22, 1994
Manuscript Accepted: February 23, 1994
Published: July 1, 1994

Citation
T. T. Kajava, H. M. Lauranto, and A. T. Friberg, "Interference pattern of the Fizeau interferometer," J. Opt. Soc. Am. A 11, 2045-2054 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-7-2045

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