Abstract

We derive an analytical expression for the broadening of a Gaussian input pulse in an arbitrary linear slow light medium. The expression consists of two terms, one corresponding to amplitude broadening (low-pass filtering of the pulse bandwidth) and another corresponding to phase broadening (phase dispersion around the resonance). It is shown that for a Lorentzian gain profile, the amplitude broadening is dominant at small fractional delays. However, for large fractional delays, phase broadening is inevitably dominate.

© 2012 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. W. Boyd and D. J. Gauthier, in Progress in Optics, E. Wolf, ed. (Elsevier, 2002), Vol. 43, p. 497.
  2. J. B. Khurgin, Adv. Opt. Photon. 2, 287 (2010).
    [CrossRef]
  3. M. D. Stenner, M. A. Neifeld, Z. Zhu, A. M. C. Dawes, and D. J. Gauthier, Opt. Express 13, 9995 (2005).
    [CrossRef]
  4. M. G. Herráez, K. Y. Song, and L. Thévenaz, Opt. Express 14, 1395 (2006).
    [CrossRef]
  5. A. Zadok, A. Eyal, and M. Tur, Opt. Express 14, 8498 (2006).
    [CrossRef]
  6. R. Pant, M. D. Stenner, M. A. Neifeld, and D. J. Gauthier, Opt. Express 16, 2764 (2008).
    [CrossRef]
  7. J. T. Mok, C. M. Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
    [CrossRef]
  8. S. Sandhu, M. L. Povinelli, M. F. Yanik, and S. Fan, Opt. Lett. 31, 1985 (2006).
    [CrossRef]
  9. J. B. Khurgin, Opt. Lett. 31, 948 (2006).
    [CrossRef]
  10. M. Gonzalez-Herraez and L. Thévenaz, Opt. Express 17, 4732 (2009).
    [CrossRef]
  11. D. A. B. Miller, Phys. Rev. Lett. 99, 203903 (2007).
    [CrossRef]
  12. L. Cohen, Time-Frequency Analysis (Prentice Hall, 1995).
  13. K. Y. Song, M. G. Herraez, and L. Thevenaz, Opt. Lett. 30, 1782 (2005).
    [CrossRef]
  14. M. González-Herráez and L. Thévenaz, Proc. SPIE 7949, 79491B (2011).
    [CrossRef]
  15. K. Y. Song, M. G. Herraez, and L. Thevenaz, Opt. Express 13, 82 (2005).
    [CrossRef]

2011 (1)

M. González-Herráez and L. Thévenaz, Proc. SPIE 7949, 79491B (2011).
[CrossRef]

2010 (1)

2009 (1)

2008 (1)

2007 (1)

D. A. B. Miller, Phys. Rev. Lett. 99, 203903 (2007).
[CrossRef]

2006 (5)

2005 (3)

Boyd, R. W.

R. W. Boyd and D. J. Gauthier, in Progress in Optics, E. Wolf, ed. (Elsevier, 2002), Vol. 43, p. 497.

Cohen, L.

L. Cohen, Time-Frequency Analysis (Prentice Hall, 1995).

Dawes, A. M. C.

Eggleton, B. J.

J. T. Mok, C. M. Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
[CrossRef]

Eyal, A.

Fan, S.

Gauthier, D. J.

Gonzalez-Herraez, M.

González-Herráez, M.

M. González-Herráez and L. Thévenaz, Proc. SPIE 7949, 79491B (2011).
[CrossRef]

Herraez, M. G.

Herráez, M. G.

Khurgin, J. B.

Littler, I. C. M.

J. T. Mok, C. M. Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
[CrossRef]

Miller, D. A. B.

D. A. B. Miller, Phys. Rev. Lett. 99, 203903 (2007).
[CrossRef]

Mok, J. T.

J. T. Mok, C. M. Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
[CrossRef]

Neifeld, M. A.

Pant, R.

Povinelli, M. L.

Sandhu, S.

Song, K. Y.

Stenner, M. D.

Sterke, C. M.

J. T. Mok, C. M. Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
[CrossRef]

Thevenaz, L.

Thévenaz, L.

Tur, M.

Yanik, M. F.

Zadok, A.

Zhu, Z.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics