On the usual approximation used in the Rayleigh-Sommerfeld diffraction theory
JOSA A, Vol. 21, Issue 4, pp. 510-516 (2004)
http://dx.doi.org/10.1364/JOSAA.21.000510
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Abstract
The complete Rayleigh–Sommerfeld scalar diffraction formula contains (1−ikR) in the integrand. Usually the wavelength is small compared with the distance of the observation point from the aperture and (1−ikR) is approximated by −ikR alone. Other approximations usually made in the Rayleigh–Sommerfeld formula are addressed as well. Closed-form solutions, without approximations, are possible wherein interesting consequences of these approximations become apparent.
© 2004 Optical Society of America
OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1960) Diffraction and gratings : Diffraction theory
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(260.1960) Physical optics : Diffraction theory
Citation
Arvind S. Marathay and John F. McCalmont, "On the usual approximation used in the Rayleigh-Sommerfeld diffraction theory," J. Opt. Soc. Am. A 21, 510-516 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-4-510
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