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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. 9 — Sep. 1, 2001
  • pp: 2098–2101

Generalized M2 factor of hard-edged diffracted flattened Gaussian beams

Baida Lü and Shirong Luo  »View Author Affiliations


JOSA A, Vol. 18, Issue 9, pp. 2098-2101 (2001)
http://dx.doi.org/10.1364/JOSAA.18.002098


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Abstract

On the basis of generalized truncated second-order moments, a closed-form expression for the generalized M2 factor of hard-edge diffracted flattened Gaussian beams is derived that is determined by the beam order and the truncation parameter. Special cases are discussed. Moreover, it is shown that the M2 factor of truncated plane waves is equal to 4√3/3, independent of the aperture width.

© 2001 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction
(350.5500) Other areas of optics : Propagation

Citation
Baida Lü and Shirong Luo, "Generalized M2 factor of hard-edged diffracted flattened Gaussian beams," J. Opt. Soc. Am. A 18, 2098-2101 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-9-2098


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References

  1. A. E. Siegman, “New developments in laser resonators,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE 1224, 2–14 (1990).
  2. A. E. Sigeman, “How to (maybe) measure laser beam quality,” in DPSS Lasers: Application and Issues, M. W. Dowley, ed., Vol. 17 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1998), pp. 184–199.
  3. International Standards Organization (ISO) Document, Terminology and test methods for lasers, ISO/TC 172/SC 9/WG 1 N80 (ISO, Geneva, Switzerland, 1995).
  4. R. Martínez-Herrero and P. M. Mejías, “Second-order spatial characterization of hard-edge diffracted beams,” Opt. Lett. 18, 1669–1671 (1993).
  5. R. Martínez-Herrero, P. M. Mejías, and M. Arias, “Parametric characterization of coherent, lowest-order Gaussian beams propagating through hard-edged apertures,” Opt. Lett. 20, 124–126 (1995).
  6. P.-A. Belanger, Y. Champagne, and C. Pare, “Beam propagation factor of diffracted laser beams,” Opt. Commun. 105, 233–242 (1994).
  7. C. Pare and P.-A. Belanger, “Propagation law and quasi-invariance properties of the truncated second-order moment of a diffracted laser beam,” Opt. Commun. 123, 679–693 (1996).
  8. M. Scholl, S. Muffer, and O. Post, “Description of diffracted beams by weighted moments,” in Third International Workshop on Laser Beam and Optics Characterization, M. Morin and A. Giesen, eds., Proc. SPIE 2870, 112–122 (1996).
  9. B. Lü and S. Luo, “Asymptotic approach to the truncated cosh-Gaussian beams,” Opt. Quantum Electron. (to be published).
  10. B. Lü and S. Luo, “Beam propagation factor of hard-edge diffracted cosh-Gaussian beams,” Opt. Commun. 178, 275–281 (2000).
  11. F. Gori, “Flattened Gaussian beams,” Opt. Commun. 107, 335–341 (1994).
  12. A. Erdelyi, Tables of Integral Transforms (McGraw–Hill, New York, 1954), Vol. 1, p. 387.
  13. B. Lü, B. Zhang, and H. Ma, “Beam-propagation factor and mode-coherence coefficients of hyperbolic-cosine-Gaussian beams,” Opt. Lett. 24, 640–642 (1999).
  14. B. Lü, B. Zhang, and S. Luo, “Far-field intensity distribution, M2 factor, and propagation of flattened Gaussian beams,” Appl. Opt. 38, 4581–4584 (1999).
  15. S. Luo, B. Lü, and B. Zhang, “A comparison study on the propagation characteristics of flattened Gaussian beams and super-Gaussian beams,” Acta Phys. Sin. 48, 1446–1451 (1999) (in Chinese).
  16. V. Bagini, R. Borghi, F. Gori, A. M. Pacileo, M. Santarsiero, D. Ambrosini, and G. Schirripa Spagnolo, “Propagation of axially symmetric flattened Gaussian beams,” J. Opt. Soc. Am. A 13, 1385–1394 (1996).
  17. S. Amarande, A. Giesen, and H. Hügel, “Propagation analysis of self-convergent beam width and characterization of hard-edge diffracted beams,” Appl. Opt. 39, 3914–3924 (2000).

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