Analytic expressions and approximations for the on-axis, aberration-free Rayleigh and Debye integral in the case of focusing fields on a circular aperture

We present a derivation of the analytic result for on-axis field values of the Rayleigh diffraction integral, a result that was originally presented in a paper by Osterberg and Smith (1961). The method on which our derivation is based is then applied to other diffraction integrals used in acoustics...

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Bibliographic Details

Published in:	Journal of the European Optical Society-Rapid Publications
Main Authors:	Aarts R. M., Braat J. J. M., Dirksen P., van Haver S., van Heesch C., Janssen A. J. E. M.
Format:	Article
Language:	English
Published:	EDP Sciences 2008-01-01
Subjects:	diffraction point-spread function rayleigh integral debye integral
Online Access:	https://jeos.edpsciences.org/articles/jeos/pdf/2008/01/jeos20080308039.pdf