Some properties of the reflectivity and transmissivity of multilayer dielectric optical coatings are derived from energy conservation applied to a beam splitter acting as a beam combiner. It is shown that dispersion in the phase shifts of the beam splitter coatings influences which quadrature amplitude is measured in a homodyne detector, and, in a Michelson interferometer, how the white-light fringe pattern is disposed about the zero-path-difference condition. The functions of reflectivity and transmissivity that determine these properties are shown to be not completely constrained by considerations of energy conservation and time reversibility, in contrast to commonly employed models for beam splitter reflectivity and transmissivity. Some representative beam splitter coating designs are used to illustrate this point.
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February 2000
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February 01 2000
Phase shifts in multilayer dielectric beam splitters
M. W. Hamilton
M. W. Hamilton
Department of Physics and Mathematical Physics, University of Adelaide, Adelaide SA5005, Australia
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Am. J. Phys. 68, 186–191 (2000)
Article history
Received:
February 22 1999
Accepted:
July 30 1999
Citation
M. W. Hamilton; Phase shifts in multilayer dielectric beam splitters. Am. J. Phys. 1 February 2000; 68 (2): 186–191. https://doi.org/10.1119/1.19393
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