OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 29, Iss. 4 — Feb. 15, 2004
  • pp: 394–396

Energy spectrum of a nonstationary ensemble of pulses

S. A. Ponomarenko, G. P. Agrawal, and E. Wolf  »View Author Affiliations

Optics Letters, Vol. 29, Issue 4, pp. 394-396 (2004)

View Full Text Article

Acrobat PDF (75 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We introduce a new definition of the energy spectrum of a nonstationary ensemble of pulses that reduces to the usual ones in the limit of statistically stationary ensembles of signals and of fully temporarily coherent ensembles.

© 2004 Optical Society of America

OCIS Codes
(300.0300) Spectroscopy : Spectroscopy
(300.6170) Spectroscopy : Spectra
(320.5550) Ultrafast optics : Pulses

S. A. Ponomarenko, G. P. Agrawal, and E. Wolf, "Energy spectrum of a nonstationary ensemble of pulses," Opt. Lett. 29, 394-396 (2004)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995).
  2. W. A. Gardner and L. E. Franks, IEEE Trans. Inf. Theory 21, 4 (1975).
  3. For an application of cyclostationary processes to optics, see, for example, S. B. Cavalcanti, New J. Phys. 4, 19.1 (2002).
  4. D. Marcuse, Light Transmission in Optics, 2nd ed. (Van Nostrand Reinhold, New York, 1982), Sec. 12.3.
  5. C. H. Page, J. Appl. Phys. 23, 103 (1952).
  6. D. G. Lampard, J. Appl. Phys. 25, 803 (1954).
  7. W. D. Mark, J. Sound Vib. 11, 19 (1970).
  8. J. H. Eberly and K. Wódkievicz, J. Opt. Soc. Am. 67, 1552 (1977).
  9. M. Bertolotti, A. Ferrari, and L. Sereda, J. Opt. Soc. Am. B 15, 341 (1995).
  10. L. Sereda, M. Bertolotti, and A. Ferrari, J. Opt. Soc. Am. A 15, 695 (1998) and references therein.
  11. G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, San Diego, Calif., 2001).
  12. For an excellent review on the behavior of optical signals in complementary spaces see G. S. Agarwal, Found. Phys. 25, 219 (1995).
  13. F. W. Buron, Jr., and R. W. Fuller, Mathematics of Classical and Quantum Physics (Dover, New York, 1992) p. 248.
  14. R. A. Silverman, Proc. IRE Trans. Inf. Theory 3, 182 (1957).
  15. E. Wolf, Opt. Lett. 28, 5 (2003).
  16. Such a definition of the spectrum of light was employed in a theoretical analysis of strong-field resonance fluorescence in B. Renaud, R. M. Whitley, and C. R. Stroud, Jr., J. Phys. B 10, 19 (1977).

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