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Optics Letters

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  • Vol. 20, Iss. 17 — Sep. 1, 1995
  • pp: 1809–1811

Reversality of optical interactions in noncentrosymmetric media

Yu. P. Svirko and N. I. Zheludev  »View Author Affiliations


Optics Letters, Vol. 20, Issue 17, pp. 1809-1811 (1995)
http://dx.doi.org/10.1364/OL.20.001809


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Abstract

The interaction of an electromagnetic wave with a noncentrosymmetric crystal is not necessarily time reversible, and the departure from reversality may be seen in nonlocal (wave-vector linear) phenomena. However, relativistic symmetry with respect to simultaneous time and space inversion is always preserved in optics.

© 1995 Optical Society of America

History
Original Manuscript: March 27, 1995
Published: September 1, 1995

Citation
Yu. P. Svirko and N. I. Zheludev, "Reversality of optical interactions in noncentrosymmetric media," Opt. Lett. 20, 1809-1811 (1995)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-20-17-1809


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References

  1. It has been proved that chemical interactions of a chiral molecule are not necessarily T invariant and that any analysis of dynamic processes involving molecules that exist in two enantiomeric forms must be based on the validity of PT invariance. SeeE. M. Lifshitz, L. P. Pitaevskii, Physical Kinetics (Pergamon, Oxford, 1981), p. 6L. D. Barron, Science 226, 1491 (1994).
  2. V. I. Belinicher, B. I. Sturman, Sov. Phys. Usp. 23, 1299 (1980). [CrossRef]
  3. J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, Reading, Mass., 1994), pp. 255–256.
  4. A. R. Bungay, S. V. Popov, Yu. P. Svirko, N. I. Zheludev, Chem. Phys. Lett. 218, 249 (1994). [CrossRef]
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  8. M. Lax, Symmetry Principles in Solids State and Molecular Physics (Wiley, New York, 1974).
  9. Several years ago a search for quasi-particles with fractional statistics in superconductors began. Fractional statistics of the carriers may lead to broken time reversality of the crystal Hamiltonian itself [seeB. G. Levi, Phys. Today 44(2), 17 (1991)]. Weak interactions of optical electrons with the nucleus lead to breakage parity. Here we exclude these special cases from our consideration.
  10. Note that complete relativistic invariance requires symmetry with respect to CPT, where C is the charge-conjugation operation. Optics is, however, evidently symmetric with respect to C, making it obligatory for optical interactions to be PT invariant.
  11. L. D. Barron, A. D. Buckingham, J. Phys. B 6, 1295 (1973). [CrossRef]
  12. L. Onsager, Phys. Rev. 37, 405 (1031)H. G. B. Casimir, Rev. Mod. Phys. 17, 345 (1945). [CrossRef]
  13. L. D. Landau, E. M. Lifshitz, L. P. Pitaevskii, Electrodynamics of Continuous Media (Pergamon, Oxford, 1984).
  14. A. R. Bungay, Yu. P. Svirko, N. I. Zheludev, Phys. Rev. B 47, 16141 (1993). [CrossRef]

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