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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 21, Iss. 9 — Sep. 1, 2004
  • pp: 1613–1620

Vectorial nonparaxial propagation equation of elliptical Gaussian beams in the presence of a rectangular aperture

Kailiang Duan and Baida Lü  »View Author Affiliations

JOSA A, Vol. 21, Issue 9, pp. 1613-1620 (2004)

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Based on the vectorial Rayleigh–Sommerfeld diffraction integrals, an analytical propagation equation of vectorial, nonparaxial, elliptical Gaussian beams through a rectangular aperture is derived. Unlike in previous work, the aperture effect and nonrotational symmetry of the beam and aperture are considered in our theoretical model. The results of the far-field and paraxial approximation for the apertured case are treated as special cases of our general expression. It is found that two f parameters fx,fy and two truncation parameters δx,δy in the x and y directions, respectively, have to be introduced that affect the beam nonparaxial evolution behavior in both the near field and the far field.

© 2004 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction
(140.0140) Lasers and laser optics : Lasers and laser optics
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

Original Manuscript: October 27, 2003
Revised Manuscript: March 10, 2004
Manuscript Accepted: March 10, 2004
Published: September 1, 2004

Kailiang Duan and Baida Lü, "Vectorial nonparaxial propagation equation of elliptical Gaussian beams in the presence of a rectangular aperture," J. Opt. Soc. Am. A 21, 1613-1620 (2004)

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