OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 27, Iss. 6 — Jun. 1, 2010
  • pp: A119–A129

Quantum model for electro-optical phase modulation

José Capmany and Carlos R. Fernández-Pousa  »View Author Affiliations


JOSA B, Vol. 27, Issue 6, pp. A119-A129 (2010)
http://dx.doi.org/10.1364/JOSAB.27.00A119


View Full Text Article

Enhanced HTML    Acrobat PDF (710 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a detailed analysis of the quantum description of electro-optical phase modulation. The results define a black-box type model for this device, which may be especially useful in the engineering steps leading to the design of complex quantum information systems incorporating one or more of these devices. By constructing an explicit representation of the phase modulation scattering operator, it is shown that an approach based entirely on its classical description leads to unphysical modes associated to non-positive frequencies. After modifying this operator, phase modulation is described, for the first time to the best of our knowledge, in terms of a unitary scattering operator S ̂ defined over positive-frequency modes. The modifications introduced by S ̂ in the process of sideband generation by phase modulation are shown to be insignificant when the radiation belongs to optical bands, thus being consistent with the classical description. Finally, the model is employed to characterize the important case of multitone radio- frequency modulation of an optical signal.

© 2010 Optical Society of America

OCIS Codes
(060.5060) Fiber optics and optical communications : Phase modulation
(230.2090) Optical devices : Electro-optical devices
(270.5565) Quantum optics : Quantum communications

ToC Category:
Quantum Nonlinear Optics

History
Original Manuscript: November 2, 2009
Revised Manuscript: March 3, 2010
Manuscript Accepted: March 12, 2010
Published: April 30, 2010

Citation
José Capmany and Carlos R. Fernández-Pousa, "Quantum model for electro-optical phase modulation," J. Opt. Soc. Am. B 27, A119-A129 (2010)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-6-A119


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. M. Merolla, Y. Mazurenko, J.-P. Goedgebuer, L. Duraffourg, H. Porte, and W. T. Rhodes, “Quantum cryptographic device using single-photon phase modulation,” Phys. Rev. A 60, 1899–1905 (1999). [CrossRef]
  2. O. Guerreau, J.-M. Mérolla, A. Soujaeff, F. Patois, J. P. Goedgebuer, and F. J. Malassenet, “Long distance QKD transmission using single sideband detection scheme with WDM synchronization,” IEEE J. Sel. Top. Quantum Electron. 9, 1533–1540 (2003). [CrossRef]
  3. G. B. Xavier and J.-P. von der Weid, “Modulation schemes for frequency coded quantum key distribution,” Electron. Lett. 41, 607–608 (2005). [CrossRef]
  4. A. Ortigosa-Blanch and J. Capmany, “Subcarrier multiplexing optical quantum key distribution,” Phys. Rev. A 73, 024305 (2006). [CrossRef]
  5. P. Kolchin, C. Belthangady, S. Du, G. Y. Yin, and S. E. Harris, “Electro-optic modulation of single photons,” Phys. Rev. Lett. 101, 103601 (2008). [CrossRef] [PubMed]
  6. U. Leonhardt, “Quantum physics of simple optical instruments,” Rep. Prog. Phys. 66, 1207–1249 (2003). [CrossRef]
  7. M. Bloch, S. W. McLaughlin, J.-M. Merolla, and F. Patois, “Frequency-coded quantum key distribution,” Opt. Lett. 32, 201–203 (2007). [CrossRef]
  8. P. Kumar and A. Prabhakar, “Evolution of quantum states in an electro-optic phase modulator,” IEEE J. Quantum Electron. 45, 149–156 (2009). [CrossRef]
  9. L. Thylen, U. Westergren, P. Holmström, R. Schatz, and P. Jänes, “Recent developments in high-speed optical modulators,” in I.PKaminow, T.Li, and A.E.Willner, eds., in Optical Fiber Telecommunications V. A (Academic, 2008), Chap. 7. [CrossRef]
  10. J. Capmany, A. Ortigosa-Blanch, J. Mora, A. Ruiz, W. Amaya, and A. Martínez, “Analysis of subcarrier multiplexed quantum key distribution systems: signal, intermodulation and quantum bit error rate,” IEEE J. Sel. Top. Quantum Electron. 15, 1607–1621 (2009). [CrossRef]
  11. A. Yariv and P. Yeh, Photonics: Optical Electronics in Modern Communications, 6th ed. (Oxford Univ. Press, 2006) Chap. 9.
  12. A. B. Carson, P. B. Crilly, and J. C. Rutledge, Communication Systems, 4th ed. (McGraw Hill, 2002) Chap. 5.
  13. C. G. Gerry and P. L. Knight, Introductory Quantum Optics (Cambridge Univ. Press, 2005).

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited