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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 4 — Apr. 1, 2009
  • pp: 993–1007

Intensity spectra after first-order dispersion of composite models of scalar cyclostationary light

Carlos R. Fernández-Pousa  »View Author Affiliations


JOSA A, Vol. 26, Issue 4, pp. 993-1007 (2009)
http://dx.doi.org/10.1364/JOSAA.26.000993


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Abstract

The spectrum of the intensity of dispersed waves obeying cyclostationary statistics is studied. The formalism is based on an exact formula by Marshall and Yariv [IEEE Photon. Technol. Lett. 12, 302 (2000)] relating the intensity spectrum after first-order dispersion to the Fourier transform of a certain restriction of the time-averaged fourth-order correlation of the optical wave e ( t ) before dispersion. The formalism permits a simple computation of the spectrum of composite models defined by the independent addition or multiplication of a stationary and a cyclostationary field. The computations are simplified by introducing the auxiliary field z τ ( t ) = e ( t ) * e ( t + τ ) , whose power spectral density represents the basic building block for solving the spectrum of composite models. The results are illustrated by a number of examples, including the intensity spectrum after dispersion of analog-modulated, partially coherent carriers, or the complete spectrum of intensity fluctuations of multiwavelength dispersion-based microwave photonic filters.

© 2009 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(070.4550) Fourier optics and signal processing : Correlators
(070.4790) Fourier optics and signal processing : Spectrum analysis
(260.2030) Physical optics : Dispersion
(060.5625) Fiber optics and optical communications : Radio frequency photonics

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: October 27, 2008
Revised Manuscript: February 4, 2009
Manuscript Accepted: February 5, 2009
Published: March 25, 2009

Citation
Carlos R. Fernández-Pousa, "Intensity spectra after first-order dispersion of composite models of scalar cyclostationary light," J. Opt. Soc. Am. A 26, 993-1007 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-4-993

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