OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 10 — Oct. 1, 1998
  • pp: 2698–2704

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

O. Mata-Mendez and F. Chavez-Rivas  »View Author Affiliations


JOSA A, Vol. 15, Issue 10, pp. 2698-2704 (1998)
http://dx.doi.org/10.1364/JOSAA.15.002698


View Full Text Article

Enhanced HTML    Acrobat PDF (235 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We study the diffraction of Hermite–Gaussian beams by N equally spaced slits (finite grating) in a planar screen by means of the Rayleigh–Sommerfeld theory in the scalar diffraction regime. We find in the far field the existence of constant-intensity angles when the incident-beam position on the screen is changed. We have determined the optimal conditions under which this new diffraction property can be achieved. Also, a novel effect called the constant-intensity-angles-collapse effect is presented, in which the constant-intensity angles collapse to the minima of the diffraction pattern when the incident spot size is enlarged. For the grating case, deep dips at the maxima of the diffraction patterns of Hermite–Gaussian beams are predicted. Also, for a grating we have found that large segments of these diffraction patterns are independent of the incident-beam position (called constant-intensity curves). The results of this report may be useful for considering unstable vibrational systems in which constant intensities at some angular direction of the far field are required.

© 1998 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.2770) Diffraction and gratings : Gratings

History
Original Manuscript: December 24, 1997
Revised Manuscript: May 6, 1998
Manuscript Accepted: May 27, 1998
Published: October 1, 1998

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-10-2698


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. O. Mata-Mendez, “Diffraction and beam-diameter measurement of Gaussian beams at optical and microwave frequencies,” Opt. Lett. 16, 1629–1631 (1991). [CrossRef] [PubMed]
  2. C. J. Bouwkamp, “Diffraction theory,” Rep. Prog. Phys. 17, 35–99 (1954). [CrossRef]
  3. A. Sasaki, “Fraunhofer diffraction of Gaussian laser beams by a single-slit,” Jpn. J. Appl. Phys. 19, 1195–1196 (1980). [CrossRef]
  4. R. L. McCally, “Measurement of Gaussian beam parameters,” Appl. Opt. 23, 2227–2231 (1984). [CrossRef] [PubMed]
  5. H. K. Pak, S.-H. Park, “Double slit with continuously variable width and center-to-center separation,” Appl. Opt. 32, 3596–3597 (1993). [CrossRef] [PubMed]
  6. M. J. McIrvin, “The Fibonacci ruler,” Am. J. Phys. 61, 36–39 (1993). [CrossRef]
  7. O. Mata-Mendez, F. Chavez-Rivas, “Diffraction of Hermite–Gaussian beams by a slit,” J. Opt. Soc. Am. A 12, 2440–2445 (1995). [CrossRef]
  8. O. Mata-Mendez, M. Cadilhac, R. Petit, “Diffraction of a two-dimensional electromagnetic beam wave by a thick slit pierced in a perfectly conducting screen,” J. Opt. Soc. Am. 73, 328–331 (1983). [CrossRef]
  9. Em. E. Kriezis, P. K. Pandelakis, A. G. Papagiannakis, “Diffraction of a Gaussian beam from a periodic planar screen,” J. Opt. Soc. Am. A 11, 630–636 (1994). [CrossRef]
  10. G. A. Suedan, E. V. Jull, “Two-dimensional beam diffraction by a half-plane and wide slit,” IEEE Trans. Antennas Propag. AP-35, 1077–1083 (1987). [CrossRef]
  11. H. Laabs, B. Ozygus, “Excitation of Hermite Gaussian modes in end-pumped solid-state lasers via off-axis pumping,” Opt. Laser Technol. 28, 213–214 (1996). [CrossRef]
  12. M. Padgett, J. Arlt, N. Simpson, L. Allen, “An experiment to observe the intensity and phase structure of Laguerre–Gaussian laser modes,” Am. J. Phys. 64, 77–82 (1996). [CrossRef]
  13. T. Kojima, “Diffraction of Hermite–Gaussian beams from a sinusoidal conducting grating,” J. Opt. Soc. Am. A 7, 1740–1744 (1990). [CrossRef]
  14. A. Zuñiga-Segundo, O. Mata-Mendez, “Interaction of S-polarized beams with infinitely conducting grooves: enhanced fields and dips in the reflectivity,” Phys. Rev. B 46, 536–539 (1992). [CrossRef]
  15. D. Wright, “Beam widths of a diffracted laser using four proposed methods,” Opt. Quantum Electron. 24, S1129–S1135 (1992). [CrossRef]
  16. J. T. Foley, E. Wolf, “Note on the far field of a Gaussian beam,” J. Opt. Soc. Am. 69, 761–764 (1979). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited