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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editor: Gregory W. Faris
  • Vol. 2, Iss. 5 — May. 17, 2007

One-photon electrodynamics in optical fiber with fluorophore systems. II. One-polariton propagation in matter and fibers from the one-photon correspondence principle

Rod W. C. Vance and François Ladouceur  »View Author Affiliations


JOSA B, Vol. 24, Issue 4, pp. 942-958 (2007)
http://dx.doi.org/10.1364/JOSAB.24.000942


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Abstract

A system of coupled quantum harmonic oscillators whose Hamiltonian conserves photon number begets a one-photon correspondence principle (OPCoP), which allows solutions to the classical linear Maxwell equations for propagation in matter to be reinterpreted as precise descriptions of one-photon states. With the help of the OPCoP, we derive the linear classical Maxwell equations from the Schrödinger equation for one-polariton state evolution. The role of the matter’s initial quantum state in setting the macroscopic medium parameters is made explicit. It is shown that most of the kinds of linear Maxwell equations possible follow from this model, thus showing that the vast extant body of linear, sourceless optical waveguide theory [Optical Waveguide Theory (Chapman and Hall, 1983)] can be applied to the exact analysis of one-photon propagation in optical fibers.

© 2007 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(180.1790) Microscopy : Confocal microscopy
(270.5530) Quantum optics : Pulse propagation and temporal solitons
(270.5580) Quantum optics : Quantum electrodynamics

ToC Category:
Quantum Optics

History
Original Manuscript: August 9, 2006
Manuscript Accepted: October 26, 2006
Published: March 15, 2007

Virtual Issues
Vol. 2, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Rod W. C. Vance and François Ladouceur, "One-photon electrodynamics in optical fiber with fluorophore systems. II. One-polariton propagation in matter and fibers from the one-photon correspondence principle," J. Opt. Soc. Am. B 24, 942-958 (2007)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josab-24-4-942

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