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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

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 11 — Nov. 1, 2008
  • pp: 2743–2748

Diffraction of Gaussian beams by periodic and aperiodic rulings

O. Mata-Mendez  »View Author Affiliations


JOSA A, Vol. 25, Issue 11, pp. 2743-2748 (2008)
http://dx.doi.org/10.1364/JOSAA.25.002743


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Abstract

The diffraction of Gaussian beams by periodic and aperiodic rulings is considered. The theory of diffraction is based on the Rayleigh–Sommerfeld integral equation with Dirichlet conditions. The transmitted power and the normally diffracted energy are analyzed as a function of the beam radius. Two methods to determine the Gaussian beam radius by means of periodic and aperiodic lamellar gratings are proposed. One is based on the maximum and the minimum transmitted power, and the other one considers the normally diffracted energy. Small and large Gaussian beam radii can be treated with these two methods.

© 2008 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory

ToC Category:
Diffraction and Gratings

History
Original Manuscript: June 5, 2008
Manuscript Accepted: July 26, 2008
Published: October 16, 2008

Citation
O. Mata-Mendez, "Diffraction of Gaussian beams by periodic and aperiodic rulings," J. Opt. Soc. Am. A 25, 2743-2748 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-11-2743


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References

  1. D. Psaltis, D. G. Stinson, and G. S. Kino, “Optical data storage: three perspectives,” Opt. Photonics News , November 1997, pp. 35-39.
  2. R. M. Herman, J. Pardo, and T. A. Wiggins, “Diffraction and focusing of Gaussian beams,” Appl. Opt. 24, 1346-1354 (1985). [CrossRef] [PubMed]
  3. D. Wright, “Beamwidths of a diffracted laser using four proposed methods,” Opt. Quantum Electron. 24, S1129-S1135 (1992). [CrossRef]
  4. O. Mata-Mendez, “Diffraction and beam-diameter measurement of Gaussian beams at optical and microwave frequencies,” Opt. Lett. 16, 1629-1631 (1991). [CrossRef] [PubMed]
  5. N. Hodgson, T. Haase, R. Kostka, and H. Weber, “Determination of laser beam parameters with the phase space beam analyser,” Opt. Quantum Electron. 24, S927-S949 (1992). [CrossRef]
  6. M. A. Karim, A. A. S. Awwal, A. M. Nasiruddin, A. Basit, D. S. Vedak, C. C. Smith, and G. D. Miller, “Gaussian laser-beam-diameter measurement using sinusoidal and triangular rulings,” Opt. Lett. 12, 93-95 (1987). [CrossRef] [PubMed]
  7. A. K. Cherri, A. A. S. Awwal, and M. A. Karim, “Generalization of the Ronchi, sinusoidal, and triangular rulings for Gaussian-laser-beam-diameter measurements,” Appl. Opt. 32, 2235-2242 (1993). [CrossRef] [PubMed]
  8. A. A. S. Awwal, J. A. Smith, J. Belloto, and G. Bharatram, “Wide range laser beam diameter measurement using a periodic exponential grating,” Opt. Laser Technol. 23, 159-161 (1991). [CrossRef]
  9. A. K. Cherri and A. A.S. Awwal, “Periodic exponential ruling for the measurement of Gaussian laser beam diameters,” Opt. Eng. (Bellingham) 32, 1038-1042 (1993). [CrossRef]
  10. J. S. Uppal, P. K. Gupta, and R. G. Harrison, “Aperiodic ruling for the measurement of Gaussian laser beam diameters,” Opt. Lett. 14, 683-685 (1989). [CrossRef] [PubMed]
  11. O. Mata-Mendez and F. Chavez-Rivas, “Diffraction of Gaussian and Hermite-Gaussian beams by finite gratings,” J. Opt. Soc. Am. A 18, 537-545 (2001). [CrossRef]
  12. A. Sommerfeld, “Optics,” in Lectures on Theoretical Physics (Academic, 1964) Vol. IV, Chap. VI, p. 273.
  13. J. Sumaya-Martinez, O. Mata-Mendez, and F. Chavez-Rivas, “Rigorous theory of the diffraction of Gaussian beams by finite gratings: TE polarization,” J. Opt. Soc. Am. A 20, 827-835 (2003). [CrossRef]
  14. O. Mata-Mendez, J. Avendaño, and F. Chavez-Rivas, “Rigorous theory of the diffraction of Gaussian beams by finite gratings: TM polarization,” J. Opt. Soc. Am. A 23, 1889-1896 (2006). [CrossRef]
  15. O. Mata-Mendez and F. Chavez-Rivas, “New property in the diffraction of Hermite-Gaussian beams by a finite grating in the scalar diffraction regime: constant-intensity angles in the far field when the beam center is displaced through the grating,” J. Opt. Soc. Am. A 15, 2698-2704 (1998). [CrossRef]

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