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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 19, Iss. 12 — Dec. 1, 2002
  • pp: 2387–2393

Optics InfoBase > JOSA A > Volume 19 > Issue 12 > Focusing analysis of the pinhole photon sieve: individual far-field model

Focusing analysis of the pinhole photon sieve: individual far-field model

Qing Cao and Jürgen Jahns  »View Author Affiliations

JOSA A, Vol. 19, Issue 12, pp. 2387-2393 (2002)

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Recently, a new class of diffractive optical element called a photon sieve, which consists of a great number of pinholes, was developed for the focusing and imaging of soft x rays. In terms of the closed-form formula for the far field of individual pinholes and the linear superposition principle, we present a simple yet accurate analytical model for the focusing of the pinhole photon sieve. This model is applicable to arbitrary paraxial illumination with arbitrary complex amplitude distribution at the photon sieve plane. We check the validity range of this model by comparing it with the exact Fresnel diffraction integral. Some special problems, such as the individual quasi-far-field correction for very large pinholes and the related phase shift induced by this correction, are also discussed.

© 2002 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1970) Diffraction and gratings : Diffractive optics
(110.1220) Imaging systems : Apertures
(220.2560) Optical design and fabrication : Propagating methods
(340.7480) X-ray optics : X-rays, soft x-rays, extreme ultraviolet (EUV)
(350.3950) Other areas of optics : Micro-optics

Original Manuscript: February 28, 2002
Revised Manuscript: June 24, 2002
Manuscript Accepted: June 24, 2002
Published: December 1, 2002

Qing Cao and Jürgen Jahns, "Focusing analysis of the pinhole photon sieve: individual far-field model," J. Opt. Soc. Am. A 19, 2387-2393 (2002)

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