Open AccessIndependent-elementary-pulse representation for non-stationary fields
Author(s) -
Pasi Vahimaa,
Jari Turunen
Publication year - 2006
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.14.005007
Subject(s) - coherence (philosophical gambling strategy) , gaussian , physics , coherence theory , exponential function , optics , coherence time , autocorrelation , pulse (music) , spectral representation , correlation function (quantum field theory) , algebraic number , wave packet , statistical physics , mathematics , mathematical analysis , quantum mechanics , coherence length , statistics , superconductivity , detector , dielectric
We introduce a class of temporally partially coherent non-stationary wave fields, which can be represented with the aid of a packet of mutually independent, fully temporally coherent pulses of finite length. The spectral coherence properties of these pulses are determined. Fully coherent pulses and stationary fields are obtained from the model at the appropriate limits. Gaussian and exponential elementary pulses are considered as examples. Together with a Gaussian weight function they admit closed-form algebraic expressions for both temporal and spectral correlation functions and lead to Gaussian and Lorentzian spectra, respectively.