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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 13 — Jun. 30, 2003
  • pp: 1474–1480

Nonparaxial analysis of far-field properties of Gaussian beams diffracted at a circular aperture

Kailiang Duan and Baida Lü  »View Author Affiliations

Optics Express, Vol. 11, Issue 13, pp. 1474-1480 (2003)

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On the basis of angular spectrum representation and the stationary-phase method, a far-field expression for nonparaxial Gaussian beams diffracted at a circular aperture is derived, which permits us to study the far-field nonparaxial properties of apertured Gaussian beams both analytically and numerically. It is shown that for the apertured case, the f-parameter and the truncation parameter affect the beam’s far-field properties. The f-parameter plays the more important role in determining the beam nonparaxiality than does the truncation parameter, whereas the truncation parameter additionally influences the beam diffraction. A comparison with the paraxial case is made. For the unapertured case our results reduce to the previous ones.

© 2003 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

ToC Category:
Research Papers

Original Manuscript: May 6, 2003
Revised Manuscript: June 4, 2003
Published: June 30, 2003

Kailiang Duan and Baida Lü, "Nonparaxial analysis of far-field properties of Gaussian beams diffracted at a circular aperture," Opt. Express 11, 1474-1480 (2003)

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