Statistics of Polarization and Stokes Parameters of Stochastic Waves
Date
2004
Authors
Hole, Matthew
Robinson, Peter A
Cairns, Iver Hugh
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Publisher
American Physical Society
Abstract
The polarization statistics of the superposition of multiple wave populations is discussed. Each wave population was considered to be a coherent mode with fixed polarization angle and axial ratio. In the analysis, two wave vectors having fixed polarization angle but random phase difference were superposed. The integral expressions were developed for the probability distribution functions (PDF) PS of the Stokes parameters S, using this representation. The results show that the integral for each Stokes PDF PS contains a square-root singularity in electric field space for two wave populations.
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Keywords: Functions; Integral equations; Integration; Parameter estimation; Perturbation techniques; Probability distributions; Random processes; Vectors; Polarization statistics; Probability distribution functions (PDF); Self organized criticality (SOC); Stochasti
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Physical Review E-Statistical, Nonlinear and Soft Matter Physics
Type
Journal article
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2037-12-31
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