Open AccessStatistics of the instantaneous polarization in Weibull——distributed fields-the same shape parameter case
Author(s) -
Tao Liu,
Huang Gao-Ming,
Xuesong Wang,
Shunping Xiao
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.3140
Subject(s) - weibull distribution , stokes parameters , probability density function , plane wave , marginal distribution , joint probability distribution , physics , gaussian , polarization (electrochemistry) , probability distribution , random field , statistics , statistical physics , stochastic process , random variable , mathematical analysis , mathematics , scattering , optics , quantum mechanics , chemistry
The statistical properties of partially polarized light in Gaussian stochastic plane wave fields have been studied. In this paper, the statistics of the stochastic plane electromagnetic EM wave fields with Weibull distributed is examined. The polarimetric Weibull_distributed wave is characterized by three parameters: the sum of the amplitudes of the two electric vector components, the angle which the major axis makes with the reference coordinate system, and the ratio of the minor to the major axis. The joint and marginal probability densities of these random variables are determined as a function of the covariance matrix. The main properties of this important distribution are shown. Then the statistical properties of the normalized Stokes parameters are described in detail in Weibull_distributed stochastic fields. The joint and marginal probability density functions PDF of the three components of the normalized Stokes parameters are presented. Results of some numerical calculation are obtained. The description of the Weibull polarimetric wave field may be useful to random medium scattering and speckle filtering.