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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 9, Iss. 8 — Aug. 1, 1992
  • pp: 1313–1319

Use of Einstein’s addition law in studies of reflection by stratified planar structures

J. M. Vigoureux  »View Author Affiliations


JOSA A, Vol. 9, Issue 8, pp. 1313-1319 (1992)
http://dx.doi.org/10.1364/JOSAA.9.001313


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Abstract

I show that the reflection coefficient of any stratified planar structure can be obtained by using a complex generalization of Einstein's addition theorem for parallel velocities. This result also applies to multiple quantum wells. It provides a new mathematical tool in optics and in quantum theory and may lead to useful algorithms in computing. It may also give a new insight into special relativity. The composition law of velocities, in fact, no longer appears as a specific result of special relativity but rather as the expression, in the particular case of kinematics, of a more general law of physics. The possible use of the composition law of probability amplitude in quantum theory is also presented.

© 1992 Optical Society of America

History
Original Manuscript: July 17, 1991
Revised Manuscript: March 10, 1992
Manuscript Accepted: January 23, 1992
Published: August 1, 1992

Citation
J. M. Vigoureux, "Use of Einstein’s addition law in studies of reflection by stratified planar structures," J. Opt. Soc. Am. A 9, 1313-1319 (1992)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-9-8-1313

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