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Applied Optics

Applied Optics


  • Vol. 15, Iss. 11 — Nov. 1, 1976
  • pp: 2800–2803

Mode coupling by circular apertures

Osvaldo O. Andrade  »View Author Affiliations

Applied Optics, Vol. 15, Issue 11, pp. 2800-2803 (1976)

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When a freely propagating light beam passes through a limiting aperture into an interferometer a set of the interferometer modes is coupled even when the beam is matched to the interferometer. The incoming beam and the modes of the interferometer are assumed to be described by Gaussian Laguerre functions and the limiting aperture to be circular and on axis with the modes. The coupling coefficients are obtained for an arbitrary incoming mode and arbitrary expanding set. Simpler solutions are found for an incoming Gaussian beam by choosing the expanding set matched to the incoming beam parameters.

© 1976 Optical Society of America

Original Manuscript: November 25, 1975
Published: November 1, 1976

Osvaldo O. Andrade, "Mode coupling by circular apertures," Appl. Opt. 15, 2800-2803 (1976)

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  1. G. Goubau, F. Schwering, IRE Trans. Antennas Propag. AP-9, 248 (1961). [CrossRef]
  2. A short account of a few results were given by O. Andrade, C. G. Thomas, “Mode Conversion and Transmission by Circular Apertures,” in Conference in Opto-Electronics, Southampton 1969. For a full discussion see O. Andrade, Thesis, “Laser Interferometer Method for the Measurement of Small Changes in Optical Path” (Southampton University, 1971).
  3. H. Kogelink, T. Li, Appl. Opt. 5, 1550 (1966). [CrossRef]
  4. For the definition of the parameters of Gaussian beam waves see, for example, Ref. 3.
  5. E. D. Rainville, Special Functions (Chelsea, New York, 1960).
  6. A. Erdélyi, W. Magnus, F. Oberhettinger, F. G. Tricomi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. 1.
  7. A. Erdélyi, W. Magnus, F. Oberhettinger, F. G. Tricomi, Tables of Integral Transform (McGraw-Hill, New York, 1954), Vol. 1.

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