Variational theory of the reflection of light by interfaces
- 1 January 1986
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 3 (1) , 16-21
- https://doi.org/10.1364/josaa.3.000016
Abstract
Schwinger’s variational theory of scattering is adapted to the calculation of reflection amplitudes. For an arbitrary transition between two media at a planar interface, we derive variational expressions for the s and p reflection amplitudes that are correct at grazing incidence and correct to second order in the ratio of interface thickness to wavelength. The interface or the substrate (or both) may be absorbing. The Hulthén-Kohn variational theory of scattering is also adapted to reflection. The results are simpler (for the same trial wave function) but not so good as those obtained from the Schwinger method.Keywords
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