Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula
Applied Optics, Vol. 45, Issue 6, pp. 1102-1110 (2006)
http://dx.doi.org/10.1364/AO.45.001102
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Abstract
The numerical calculation of the Rayleigh–Sommerfeld diffraction integral is investigated. The implementation of a fast-Fourier-transform (FFT) based direct integration (FFT-DI) method is presented, and Simpson's rule is used to improve the calculation accuracy. The sampling interval, the size of the computation window, and their influence on numerical accuracy and on computational complexity are discussed for the FFT-DI and the FFT-based angular spectrum (FFT-AS) methods. The performance of the FFT-DI method is verified by numerical simulation and compared with that of the FFT-AS method.
© 2006 Optical Society of America
OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(350.5500) Other areas of optics : Propagation
ToC Category:
Diffraction and Gratings
History
Original Manuscript: March 15, 2005
Revised Manuscript: September 9, 2005
Manuscript Accepted: September 22, 2005
Citation
Fabin Shen and Anbo Wang, "Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula," Appl. Opt. 45, 1102-1110 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-6-1102
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