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Applied Optics

Applied Optics


  • Vol. 40, Iss. 21 — Jul. 20, 2001
  • pp: 3525–3531

Verification and comparison of a fast Fourier transform-based full diffraction method for tilted and offset planes

Nuri Delen and Brian Hooker  »View Author Affiliations

Applied Optics, Vol. 40, Issue 21, pp. 3525-3531 (2001)

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The recent introduction of a fast Fourier transform– (FFT–) based method for calculating the Rayleigh–Sommerfeld full diffraction integral for tilted and offset planes permits high-speed evaluation of integrated optical systems. An important part of introducing a new calculational tool is its validation and an assessment of its limitations. The validity of the new FFT-based method was determined by comparison of that method with direct integration (DI) of the Rayleigh–Sommerfeld integral, a well-established method. Points of comparison were accuracy, computational speed, memory requirements of the host computer, and applicability to various optical modeling situations. The new FFT-based method is 228 times faster, yet requires 14 times more memory, than the DI method for a 500 µm by 500 µm real computational window.

© 2001 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(060.4510) Fiber optics and optical communications : Optical communications
(070.2590) Fourier optics and signal processing : ABCD transforms
(130.0130) Integrated optics : Integrated optics
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

Original Manuscript: December 19, 2000
Revised Manuscript: April 9, 2001
Published: July 20, 2001

Nuri Delen and Brian Hooker, "Verification and comparison of a fast Fourier transform-based full diffraction method for tilted and offset planes," Appl. Opt. 40, 3525-3531 (2001)

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