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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. 24, Iss. 11 — Nov. 1, 2007
  • pp: 3600–3605

Focusing and spectral characteristics of periodic diffractive optical elements with circular symmetry under femtosecond pulsed illumination

Omel Mendoza-Yero, Gladys Mínguez-Vega, Jesús Lancis, and Vicent Climent  »View Author Affiliations


JOSA A, Vol. 24, Issue 11, pp. 3600-3605 (2007)
http://dx.doi.org/10.1364/JOSAA.24.003600


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Abstract

The analytical solution is derived, within the Rayleigh–Sommerfeld formulation of diffraction, for the on-axis spectral irradiance of a broadband source after diffracting through a circular symmetric hard aperture. By using this solution, and within the paraxial approximation, we investigate several diffraction-induced effects originated by binary diffractive optical elements made up of a set of annular apertures with equal areas and periodic in the squared radial coordinate. In particular, the ability to focus femtosecond pulses is investigated. In addition, the analysis of the spectral modifier function associated with these elements allows us to simulate spectral shifts at focus positions. Finally, we introduce a relatively simple and low-cost technique to slice the spectrum of a broadband source in order to generate narrow bands or wavelength channels.

© 2007 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1970) Diffraction and gratings : Diffractive optics
(320.2250) Ultrafast optics : Femtosecond phenomena

ToC Category:
Diffraction and Gratings

History
Original Manuscript: July 25, 2007
Manuscript Accepted: September 21, 2007
Published: October 25, 2007

Citation
Omel Mendoza-Yero, Gladys Mínguez-Vega, Jesús Lancis, and Vicent Climent, "Focusing and spectral characteristics of periodic diffractive optical elements with circular symmetry under femtosecond pulsed illumination," J. Opt. Soc. Am. A 24, 3600-3605 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-11-3600

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