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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 8 — Aug. 1, 1999
  • pp: 2013–2018

Fully relativisticlike formulation of multilayer optics

J. J. Monzón and L. L. Sánchez-Soto  »View Author Affiliations

JOSA A, Vol. 16, Issue 8, pp. 2013-2018 (1999)

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It is shown that the matrix describing a general (transparent or absorbing) multilayer is an element of the group SL(2, C), which is locally isomorphic to the (3+1)-dimensional restricted Lorentz group SO(3, 1). In consequence, a natural identification of the multilayer reflection and transmission coefficients with the parameters of a Lorentz transformation is performed. The correspondence between electric field and space–time variables is discussed as well.

© 1999 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(120.5700) Instrumentation, measurement, and metrology : Reflection
(120.7000) Instrumentation, measurement, and metrology : Transmission
(230.4170) Optical devices : Multilayers

Original Manuscript: January 5, 1999
Revised Manuscript: March 31, 1999
Manuscript Accepted: March 31, 1999
Published: August 1, 1999

J. J. Monzón and L. L. Sánchez-Soto, "Fully relativisticlike formulation of multilayer optics," J. Opt. Soc. Am. A 16, 2013-2018 (1999)

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