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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. 23, Iss. 8 — Aug. 1, 2006
  • pp: 1889–1896

Rigorous theory of the diffraction of Gaussian beams by finite gratings: TM polarization

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


JOSA A, Vol. 23, Issue 8, pp. 1889-1896 (2006)
http://dx.doi.org/10.1364/JOSAA.23.001889


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Abstract

Diffraction of TM-polarized Gaussian beams by N equally spaced slits (finite grating) in a planar perfectly conducting thick screen is treated. We extend to the TM polarization case the results of a previous paper where the TE polarization was considered [ J. Opt. Soc. Am. A 20, 827 (2003). ]. The far-field diffraction patterns, the transmission coefficient τ, and the normally diffracted energy E as a function of several optogeometrical parameters are analyzed within the so-called vectorial region. The existence of constant-intensity angles in the far field when the incident beam wave is scanned along the N slits is shown. In addition, the property E = N τ λ , valid in the scalar region, is extended to the TM polarization case in the vectorial region, λ being the wavelength. The coupling between slits is analyzed, giving an oscillating amplitude-decreasing function as the separation between slits increases, where the period for these oscillations is the wavelength λ. Finally, the extraordinary optical transmission phenomena that appear when the wavelength is larger than the slit width (subwavelength regime) are analyzed.

© 2006 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: December 8, 2005
Revised Manuscript: March 6, 2006
Manuscript Accepted: March 9, 2006

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-8-1889

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