OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 8 — Apr. 16, 2007
  • pp: 5160–5165

Spectral elementary-coherence-function representation for partially coherent light pulses

Ari T. Friberg, Hanna Lajunen, and Víctor Torres-Company  »View Author Affiliations


Optics Express, Vol. 15, Issue 8, pp. 5160-5165 (2007)
http://dx.doi.org/10.1364/OE.15.005160


View Full Text Article

Enhanced HTML    Acrobat PDF (106 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A broad class of partially coherent non-stationary fields can be expressed in terms of the recently proposed independent-elementary-pulse model. In this work we first introduce a corresponding dual representation in the frequency domain and then extend this concept by considering shifted and weighted elementary spectral coherence functions. We prove that this method, which closely describes practical optical systems, leads to properly defined correlation functions. As an example, we demonstrate that our new model characterizes, in a natural way, trains of ultra-short pulses, affected by noise and timing jitter, emitted by usual modulators employed in telecom applications.

© 2007 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(320.5550) Ultrafast optics : Pulses

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: February 7, 2007
Revised Manuscript: April 12, 2007
Manuscript Accepted: April 12, 2007
Published: April 13, 2007

Citation
Ari T. Friberg, Hanna Lajunen, and Victor Torres-Company, "Spectral elementary-coherence-function representation for partially coherent light pulses," Opt. Express 15, 5160-5165 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-8-5160


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, UK, 1995).
  2. G. P. Agrawal, Fiber-Optic Communication Systems, 3rd ed. (Wiley, New York, NY, 2002). [CrossRef]
  3. B. E. A. Saleh and M. I. Irshid, "Collet-Wolf equivalence theorem and propagation of a pulse in a single-mode optical fiber," Opt. Lett. 7, 342-343 (1982). [CrossRef] [PubMed]
  4. J. Lancis, V. Torres-Company, E. Silvestre, and P. Andres, "Space-time analogy for partially coherent planewave- type pulses," Opt. Lett. 30, 2973-2975 (2005). [CrossRef] [PubMed]
  5. H. Lajunen, J. Tervo, J. Turunen, P. Vahimaa, and F. Wyrowski, "Spectral coherence properties of temporally modulated stationary light sources," Opt. Express 11, 1894-1899 (2003). [CrossRef] [PubMed]
  6. M. J. Ablowitz, B. Ilan, and S. T. Cundiff, "Noise-induced linewidth in frequency combs," Opt. Lett. 31, 1875- 1877 (2006). [CrossRef] [PubMed]
  7. V. Torres-Company, H. Lajunen, and A. T. Friberg, "Effects of partial coherence on frequency combs," J. Eur. Opt. Soc. Rapid Publ. 2, 07007:1-4 (2007). [CrossRef]
  8. V. Torres-Company, H. Lajunen, and A. T. Friberg, "Coherence theory of noise in ultrashort-pulse trains," J. Opt. Soc. Am. B (in press).
  9. S. T. Cundiff and J. Ye, "Colloquium: Femtosecond optical frequency combs," Rev. Mod. Phys. 75, 325-342 (2003). [CrossRef]
  10. P. P¨a¨akk¨onen, J. Turunen, P. Vahimaa, A. T. Friberg, and F.Wyrowski, "Partially coherent Gaussian pulses," Opt. Commun. 204, 53-58 (2002). [CrossRef]
  11. P. Vahimaa and J. Turunen, "Independent-elementary-pulse representation for non-stationary fields," Opt. Express 14, 5007-5012 (2006). [CrossRef] [PubMed]
  12. P. Vahimaa and J. Turunen, "Finite-elementary-source model for partially coherent radiation," Opt. Express 14, 1376-1381 (2006). [CrossRef] [PubMed]
  13. J. Capmany "A tutorial on microwave photonic filters," J. Lightwave Technol. 24, 201-229 (2006). [CrossRef]
  14. 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]
  15. M. Bertolotti, L. Sereda, and A. Ferrari, "Application of the spectral representation of stochastic processes to the study of nonstationary light radiation: a tutorial," JEOS A: Pure Appl. Opt. 6, 153 (1997). [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