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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. 18, Iss. 3 — Mar. 1, 2001
  • pp: 546–556

Propagation and diffraction of truncated Gaussian beams

V. Nourrit, J.-L. de Bougrenet de la Tocnaye, and P. Chanclou  »View Author Affiliations


JOSA A, Vol. 18, Issue 3, pp. 546-556 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000546


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Abstract

The Fresnel diffraction of a truncated Gaussian beam is investigated in detail. Our aim is to provide usable analytical expressions of the diffracted field with respect to the variation of propagation and diffraction parameters. Particular attention is paid to the determination of a trade-off between computing accuracy and simplicity. An illustration of the use of the various expressions describing the beam diffraction and propagation is given for the case of mode coupling in a single-mode fiber.

© 2001 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction
(050.1960) Diffraction and gratings : Diffraction theory
(060.2270) Fiber optics and optical communications : Fiber characterization

History
Original Manuscript: April 26, 2000
Revised Manuscript: September 26, 2000
Manuscript Accepted: September 26, 2000
Published: March 1, 2001

Citation
V. Nourrit, J.-L. de Bougrenet de la Tocnaye, and P. Chanclou, "Propagation and diffraction of truncated Gaussian beams," J. Opt. Soc. Am. A 18, 546-556 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-3-546


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References

  1. H. Kogelnik, T. Li, “Laser beams and resonators,” Proc. IEEE 54, 1312–1329 (1966). [CrossRef]
  2. D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), pp. 231–235.
  3. C. S. Williams, “Gaussian beam formulas from diffraction theory,” Appl. Opt. 12, 872–876 (1973). [CrossRef] [PubMed]
  4. A. Sommerfield, Optics (Academic, Inc., London, 1998), pp. 197, 201, 242.
  5. A. L. Buck, “The radiation pattern of a truncated Gaussian aperture distribution,” Proc. IEEE 55, 448–450 (1967). [CrossRef]
  6. J. K. Kauffman, “The calculated radiation patterns of a truncated Gaussian aperture distribution,” IEEE Trans. Antennas Propag. AP-13, 473–474 (1965). [CrossRef]
  7. A. S. Chai, H. J. Wertz, “The digital computation of the far-field radiation pattern of a truncated Gaussian aperture,” IEEE Trans. Antennas Propag. AP-13, 994–995 (1965). [CrossRef]
  8. J. P. Campbell, L. G. DeShazer, “Near fields of truncated Gaussian apertures,” J. Opt. Soc. Am. 59, 1427–1429 (1969). [CrossRef]
  9. Y. Li, “Degeneracy and regeneracy in the axial field of a focused truncated Gaussian beam,” J. Opt. Soc. Am. A 5, 1397–1406 (1988). [CrossRef]
  10. V. N. Mahajan, “Uniform versus Gaussian beams: a comparison of the effects of diffraction, obscuration, and aberrations,” J. Opt. Soc. Am. A 3, 470–485 (1986). [CrossRef]
  11. H. T. Yura, T. S. Rose, “Gaussian beam transfer through hard-aperture optics,” Appl. Opt. 34, 6826–6828 (1995). [CrossRef] [PubMed]
  12. P. L. Overfelt, C. S. Kenney, “Comparison of the propagation characteristics of Bessel, Bessel-Gauss, and Gaussian beams diffracted by a circular aperture,” J. Opt. Soc. Am. A 8, 732–745 (1991). [CrossRef]
  13. R. G. Schell, G. Tyras, “Irradiance from an aperture with a truncated Gaussian field distribution,” J. Opt. Soc. Am. 61, 31–35 (1971). [CrossRef]
  14. G. Oluremi Olaofe, “Diffraction by Gaussian apertures,” J. Opt. Soc. Am. 60, 1654–1657 (1970). [CrossRef]
  15. G. Toker, A. Brunfeld, J. Shamir, “Diffraction of aper-tured Gaussian beams: solution by expansion in Chebyshev polynomials,” Appl. Opt. 32, 4706–4712 (1993). [CrossRef] [PubMed]
  16. D. Ding, X. Liu, “Approximate description for Bessel, Bessel-Gauss, and Gaussian beams with finite aperture,” J. Opt. Soc. Am. A 16, 1286–1293 (1999). [CrossRef]
  17. I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series and Products (Academic, London, 1980), pp. 307, 485, 931.
  18. M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970), p. 297.
  19. M. R. Spiegel, Variables Complexes (McGraw-Hill, Paris, 1983), p. 275.
  20. P. Belland, J. P. Crenn, “Changes in the characteristics of a Gaussian beam diffracted by a circular aperture,” Appl. Opt. 21, 522–527 (1982). [CrossRef] [PubMed]
  21. P. Chanclou, M. Thual, J. Lostec, D. Pavy, M. Gadonna, “Focusing and coupling properties of collective micro-optics on fiber ribbons,” Opt. Eng. (Bellingham) 39, 387–392 (2000). [CrossRef]
  22. B. Hillerich, “Influence of lens imperfections with LD and LED to single-mode fiber coupling,” J. Lightwave Technol. 7, 77–86 (1989). [CrossRef]
  23. S. Peled, “Near- and far-field characterization of diode laser,” Appl. Opt. 19, 324–328 (1980). [CrossRef] [PubMed]

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