OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 10 — Oct. 1, 2006
  • pp: 2223–2226

Time–frequency uncertainty relationship of a partially temporally coherent pulse train

Haitao Liu, Guoguang Mu, and Lie Lin  »View Author Affiliations


JOSA B, Vol. 23, Issue 10, pp. 2223-2226 (2006)
http://dx.doi.org/10.1364/JOSAB.23.002223


View Full Text Article

Enhanced HTML    Acrobat PDF (70 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

On the basis of the recently introduced definition of energy spectrum of a partially temporally coherent pulse train [ Opt. Lett. 29, 394 (2004) ], we show that the well-known time–frequency uncertainty relationship applicable to a fully temporally coherent pulse train is still correct for a partially temporally coherent pulse train. The condition under which the uncertainty relationship reaches equality is derived. An example is presented to illustrate the validity of the uncertainty relationship.

© 2006 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(320.5550) Ultrafast optics : Pulses

ToC Category:
Ultrafast Optics

History
Original Manuscript: April 26, 2006
Manuscript Accepted: June 23, 2006

Citation
Haitao Liu, Guoguang Mu, and Lie Lin, "Time-frequency uncertainty relationship of a partially temporally coherent pulse train," J. Opt. Soc. Am. B 23, 2223-2226 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-10-2223


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. C. Rulliere, Femtosecond Laser Pulses: Principles and Experiments (Springer, 1998), p. 30.
  2. D. J. Kane and R. Trebino, "Characterization of arbitrary femtosecond pulses using frequency-resolved optical gating," IEEE J. Quantum Electron. 29, 571-579 (1993). [CrossRef]
  3. C. Iaconis and I. A. Walmsley, "Self-referencing spectral interferometry for measuring ultrashort optical pulses," IEEE J. Quantum Electron. 35, 501-509 (1999). [CrossRef]
  4. S. A. Ponomarenko, G. P. Agrawal, and E. Wolf, "Energy spectrum of a nonstationary ensemble of pulses," Opt. Lett. 29, 394-396 (2004). [CrossRef] [PubMed]
  5. H. Lajunen, P. Vahimaa, and J. Tervo, "Theory of spatially and spectrally partially coherent pulses," J. Opt. Soc. Am. A 22, 1536-1545 (2005). [CrossRef]
  6. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).
  7. X. Ka, Advanced Quantum Mechanics (Advanced Education Press, 1999).
  8. T. S. Blyth and E. F. Robertson, Further Linear Algebra (Springer, 2002), Chap. 1. [CrossRef]

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