Intensity spectra after first-order dispersion of composite models of scalar cyclostationary light.
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.
Fernández-Pousa
Carlos R
CR
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