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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 19, Iss. 9 — Sep. 1, 2002
  • pp: 2060–2065

Enhancement of quadrature-phase squeezing in photonic crystals

Kazuaki Sakoda  »View Author Affiliations


JOSA B, Vol. 19, Issue 9, pp. 2060-2065 (2002)
http://dx.doi.org/10.1364/JOSAB.19.002060


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Abstract

Quadrature-phase squeezing by optical parametric amplification in an arbitrary photonic crystal was studied by use of a perturbation theory based on a Green function formalism. It is shown that the perturbative calculation can be performed to an infinite order. The result shows that quadrature-phase squeezing is enhanced by small group velocities of electromagnetic eigenmodes that are easily achieved in two- and three-dimensional photonic crystals.

© 2002 Optical Society of America

OCIS Codes
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(260.2110) Physical optics : Electromagnetic optics
(270.6570) Quantum optics : Squeezed states
(350.3950) Other areas of optics : Micro-optics

Citation
Kazuaki Sakoda, "Enhancement of quadrature-phase squeezing in photonic crystals," J. Opt. Soc. Am. B 19, 2060-2065 (2002)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-9-2060


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References

  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton U. Press, Princeton, N.J. 1995).
  2. C. M. Soukoulis, ed., Photonic Band Gaps and Localization (Plenum, New York, 1993).
  3. C. M. Soukoulis, ed., Photonic Band Gap Materials (Kluwer, Dordrecht, The Netherlands, 1996).
  4. K. Sakoda, “Photonic crystals,” in Optical Properties of Low-Dimensional Materials, T. Ogawa and Y. Kanemitsu, eds. (World Scientific, Singapore, 1998), Vol. 2, pp. 402–450.
  5. K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, 2001).
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  9. K. Sakoda, K. Ohtaka, and T. Ueta, “Low-threshold laser oscillation due to group-velocity anomaly peculiar to two- and three-dimensional photonic crystals,” Opt. Express 4, 481–489 (1999), http://www.opticsexpress.org.
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  11. See, for example, M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997), Chap. 2.
  12. R. J. Glauber and M. Lewenstein, “Quantum optics of dielectric media,” Phys. Rev. A 43, 467–491 (1991).

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