Equivalence between two consistent formulations of Kirchhoff’s diffraction theory
Open Access
- 1 October 1988
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 5 (10) , 1626-1628
- https://doi.org/10.1364/josaa.5.001626
Abstract
Kirchhoff’s theory of diffraction, as usually formulated, leads to an internal mathematical inconsistency because the solution does not reduce to the assumed boundary conditions as the observation point approaches the plane of the diffracting aperture. However, it is in excellent agreement with experiment. We show that two different, consistent formulations of Kirchhoff’s theory [F. Kottler, Ann. Phys. 70,405 (1923); E. W. Marchand and E. Wolf, J. Opt. Soc. Am. 56, 1712 (1966)] are equivalent.Keywords
This publication has 6 references indexed in Scilit:
- Maggi–Rubinowicz transformation for phase aperturesJournal of the Optical Society of America A, 1986
- Consistent Formulation of Kirchhoff’s Diffraction Theory*Journal of the Optical Society of America, 1966
- Consistency of Rayleigh’s Diffraction Formulas with Kirchhoff’s Boundary Conditions*Journal of the Optical Society of America, 1962
- Microwave Diffraction by Apertures of Various ShapesJournal of Applied Physics, 1955
- Diffraction Pattern of a Circular Aperture at Short DistancesPhysical Review B, 1947
- Die Beugungswelle in der Kirchhoffschen Theorie der BeugungserscheinungenAnnalen der Physik, 1917