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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 10 — Oct. 1, 1999
  • pp: 2532–2538

Axial behavior of diffractive lenses under Gaussian illumination: complex-argument spectral analysis

Carlos J. Zapata-Rodrı́guez, Manuel Martı́nez-Corral, Pedro Andrés, and Amparo Pons  »View Author Affiliations

JOSA A, Vol. 16, Issue 10, pp. 2532-2538 (1999)

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We present a general procedure to analyze the axial-irradiance distribution generated by an unlimited diffractive lens under coherent, Gaussian illumination. The resulting on-axis diffraction pattern, which is evaluated in terms of the power complex spectrum of the Fresnel-zone transmittance, explicitly depends on the truncation parameter that we define, which evaluates the effective number of zones illuminated by the Gaussian beam. Depending on the value of this parameter, different kinds of axial behavior are observed. In particular, for moderate values a multiple-focal-shift phenomenon appears, and a simple formula for its evaluation is presented. Additionally, for low values of the truncation parameter, a focal-merge effect is observed in multifocal zone plates.

© 1999 Optical Society of America

OCIS Codes
(220.2560) Optical design and fabrication : Propagating methods

Original Manuscript: January 4, 1999
Revised Manuscript: May 11, 1999
Manuscript Accepted: May 11, 1999
Published: October 1, 1999

Carlos J. Zapata-Rodrı́guez, Manuel Martı́nez-Corral, Pedro Andrés, and Amparo Pons, "Axial behavior of diffractive lenses under Gaussian illumination: complex-argument spectral analysis," J. Opt. Soc. Am. A 16, 2532-2538 (1999)

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