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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 11 — Apr. 10, 1994
  • pp: 2223–2229

On-axis diffractional behavior of two-dimensional pupils

Manuel Martínez-Corral, Pedro Andrés, and Jorge Ojeda-Castañeda  »View Author Affiliations


Applied Optics, Vol. 33, Issue 11, pp. 2223-2229 (1994)
http://dx.doi.org/10.1364/AO.33.002223


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Abstract

We show that, at any Fresnel number, a suitable one-dimensional Fourier transform relates the complex-amplitude distribution along the optical axis with the zero-order circular harmonic of the amplitude transmittance of a two-dimensional diffracting screen. First, our general result is applied to recognize that any rationally nonsymmetric screen generates an axial-irradiance distribution that exhibits focal shift. In this way we identify a wide set of two-dimensional screens that produce the same focal shift as that produced by the clear circular aperture. Second, we identify several apodizers for shaping the axial-amplitude distribution. We discuss some examples for achieving high-precision focusing, axial hyperresolution, or high focal depth.

© 1994 Optical Society of America

History
Original Manuscript: January 7, 1993
Revised Manuscript: August 23, 1993
Published: April 10, 1994

Citation
Manuel Martínez-Corral, Pedro Andrés, and Jorge Ojeda-Castañeda, "On-axis diffractional behavior of two-dimensional pupils," Appl. Opt. 33, 2223-2229 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-11-2223

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