title: Intensity spectra after first-order dispersion of composite models of scalar cyclostationary light.
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(tau)(t)=e(t)*e(t+tau), 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.
authors.affiliation: Signal Theory and Communications, Department of Physics and Computer Science, Universidad Miguel Hernández, Avenida Universidad s/n, E03202 Elche (Alicante), Spain. c.pousa@umh.es
authors.forename: Carlos R
authors.initials: CR
authors.lastname: Fernández-Pousa