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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 20, Iss. 9 — Sep. 1, 2003
  • pp: 1755–1762

Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves

Kyoji Matsushima, Hagen Schimmel, and Frank Wyrowski  »View Author Affiliations

JOSA A, Vol. 20, Issue 9, pp. 1755-1762 (2003)

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A novel method for simulating field propagation is presented. The method, based on the angular spectrum of plane waves and coordinate rotation in the Fourier domain, removes geometric limitations posed by conventional propagation calculation and enables us to calculate complex amplitudes of diffracted waves on a plane not parallel to the aperture. This method can be implemented by using the fast Fourier transformation twice and a spectrum interpolation. It features computation time that is comparable with that of standard calculation methods for diffraction or propagation between parallel planes. To demonstrate the method, numerical results as well as a general formulation are reported for a single-axis rotation.

© 2003 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(050.1960) Diffraction and gratings : Diffraction theory
(090.1970) Holography : Diffractive optics
(350.5500) Other areas of optics : Propagation

Original Manuscript: March 22, 2003
Revised Manuscript: May 8, 2003
Manuscript Accepted: May 8, 2003
Published: September 1, 2003

Kyoji Matsushima, Hagen Schimmel, and Frank Wyrowski, "Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves," J. Opt. Soc. Am. A 20, 1755-1762 (2003)

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