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

JOSA B, Vol. 24, Issue 4, pp. 942-958 (2007)

http://dx.doi.org/10.1364/JOSAB.24.000942

Enhanced HTML Acrobat PDF (273 KB)

### 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

Sort: Year | Journal | Reset

### References

- R. W. C. Vance and F. Ladouceur, "One-photon electrodynamics in optical fiber with fluorophore systems. I. One-photon correspondence principle for electromagnetic field propagation in matter," J. Opt. Soc. Am. B 24, 928-941 (2007). [CrossRef]
- I. Bialynicki-Birula, "On the wave function of the photon," Acta Phys. Pol. A 86, 97-116 (1994).
- I. Bialynicki-Birula, "The photon wave function," in Coherence and Quantum Optics VII, J.H.Eberly, L.Mandel, and E.Wolf, eds. (Plenum, 1996), pp. 313-322.
- I. Bialynicki-Birula, "Photon wave function," Prog. Opt. 36, 245-294 (1996). [CrossRef]
- R. Loudon, The Quantum Theory of Light (Oxford U. Press, 2000).
- D. Marcuse, Engineering Quantum Electrodynamics (Harcourt Brace, 1970).
- M. O. Scully and M. Suhail Zubiary, Quantum Optics (Cambridge U. Press, 1997).
- C. Gerry and P. L. Knight, Introductory Quantum Optics (Cambridge U. Press,2005).
- B. Huttner and S. M. Barnett, "Quantization of the electromagnetic field in dielectrics," Phys. Rev. A 46, 4306-4322 (1992). [CrossRef] [PubMed]
- J. Ryu, S. Priya, K. Uchino, and H. Kim, "Magnetoelectric effect in composites of magnetostrictive and piezoelectric materials," J. Electroceram. 8, 107-119 (2002). [CrossRef]
- T. Lottermoser, T. Lonkai, U. Amann, D. Hohlwein, J. Ihringer, and M. Fiebig, "Magnetic phase control by an electric field," Nature 430, 541-544 (2004). [CrossRef] [PubMed]
- A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman and Hall,1983).
- P. M. Delaney, M. R. Harris, and R. G. King, "Fiber-optic laser scanning confocal microscope suitable for fluorescence imaging," Appl. Opt. 33, 573-577 (1994). [CrossRef] [PubMed]
- C. H. Bennett and G. Brassard, "Quantum cryptography: public key distribution and coin tossing," in Proceedings of the IEEE International Conference on Computers Systems and Signal Processing (Bangalore, India, 1984). pp. 175-179.
- M. Hawton, "Photon wave functions in a localized coordinate space basis," Phys. Rev. A 59, 3223-3227 (1999). [CrossRef]
- M. Hawton, "Photon position operator with commuting components," Phys. Rev. A 59, 954-959 (1999). [CrossRef]
- M. Hawton and W. E. Baylis, "Photon position operators and localized bases," Phys. Rev. A 64, 012101 (2001). [CrossRef]
- I. Bialynicki-Birula, "Exponential localization of photons," Phys. Rev. Lett. 80, 5247-5250 (1998). [CrossRef]
- T. M. Monro, School of Chemistry & Physics. University of Adelaide, Adelaide, South Australia 5005, Australia (personal communication, 2005).
- C. H. Henry and Y. Shani, "Analysis of mode propagation in optical waveguide devices by fourier expansion," IEEE J. Quantum Electron. 27, 523-530 (1991). [CrossRef]
- S. J. Hewlett and F. Ladouceur, "Fourier decomposition method applied to mapped infinite domains: scalar analysis of dielectric waveguides down to modal cutoff," J. Lightwave Technol. 13, 375-383 (1995). [CrossRef]
- L. Poladian, N. A. Issa, and T. M. Munro, "Fourier decomposition algorithm for leaky modes of fibers with arbitrary geometry," Opt. Express 10, 449-454 (2002). [PubMed]
- M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Pergamon, 1989). [PubMed]
- I. M. Bassett, Optical Fibre Technology Centre, University of Sydney, 206 National Innovation Centre, Australian Technology Park Eveleigh, New South Wales 1430, Australia (personal communication. 2006).

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

### Figures

Fig. 1 |

« Previous Article | Next Article »

OSA is a member of CrossRef.