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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 35, Iss. 30 — Oct. 20, 1996
  • pp: 5887–5895

Geometry of the fringe field formed in the intersection of two Gaussian beams

Paul C. Miles  »View Author Affiliations


Applied Optics, Vol. 35, Issue 30, pp. 5887-5895 (1996)
http://dx.doi.org/10.1364/AO.35.005887


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Abstract

A general expression is obtained for the exact computation of the fringe field in the intersection volume of two paraxial Gaussian beams for arbitrary beam waist positions and sizes. The expression is then simplified to allow easy fringe field computation while retaining good accuracy. By relating the simplified expression to the system parameters relevant to dual-beam laser Doppler velocimeters, simple design equations are obtained. These equations permit rapid evaluation of the fringe field variation along the major and minor axes of the intersection volume and clearly identify the system parameters controlling this variation.

© 1996 Optical Society of America

History
Original Manuscript: February 12, 1996
Revised Manuscript: May 9, 1996
Published: October 20, 1996

Citation
Paul C. Miles, "Geometry of the fringe field formed in the intersection of two Gaussian beams," Appl. Opt. 35, 5887-5895 (1996)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-35-30-5887


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References

  1. S. Hanson, “Broadening of the measured frequency spectrum in a differential laser anemometer due to interference plane gradients,” J. Phys. D 6, 164–171 (1973). [CrossRef]
  2. S. Hanson, “Visualization of alignment errors and heterodyning constraints in laser Doppler velocimeters,” in The Accuracy of Flow Measurements by Laser Doppler Methods (Proceedings of the LDA-Symposium Copenhagen 1975, Skovlunde, Denmark, 1976), pp. 176–182.
  3. F. Durst, W. H. Stevenson, “Influence of Gaussian beam properties on laser Doppler signals,” Appl. Opt. 18, 516–524 (1979). [CrossRef] [PubMed]
  4. F. Durst, R. Müller, A. Naqwi, “Measurement accuracy of semiconductor LDA systems,” Exp. Fluids 10, 125–137 (1990). [CrossRef]
  5. P. C. Miles, P. O. Witze, “Fringe field quantification in an LDV probe volume by use of a magnified image,” Exp. Fluids 16, 330–335 (1994). [CrossRef]
  6. H. Kogelnik, T. Li, “Laser beams and resonators,” Appl. Opt. 5, 1550–1567 (1966). [CrossRef] [PubMed]

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