Statistics of random optical field generated by a random walk with a finite number of steps

Bozhen Zhang, Xin Liu, Jun Dai, Ying Wang, Wei Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Abstract

Classical stochastic electromagnetic field assumes that the number of steps is infinite, but in practice, the number of steps for random walk is limited, even though the number of steps is large. Therefore, the statistical properties of finite-step random phasor sums are different from those of classical ones. As an example, the negative exponential probability density function of classical intensity speckles is not suitable for speckles with limited steps. In some applications, including but not limited to synthetic-aperture radar (SAR) imagery, wireless communication and wavelet analysis, when the probability density function of the classical speckle is used to calculate, the acquired result is often biased, and can't provide appropriate estimation with reasonable accuracy. In this paper, we make the statistical analysis of the Stokes parameters of the random polarization phasor sums with a limited number of steps. The statical properties for the stochastic optical fields generated with a limited number of steps are presented with different applications in optical engineering.

Original languageEnglish
Title of host publicationFifteenth International Conference on Correlation Optics
EditorsOleg V. Angelsky
PublisherSPIE
ISBN (Electronic)978151065129
ISBN (Print)9781510651289
DOIs
Publication statusPublished - 20 Dec 2021
Event15th International Conference on Correlation Optics 2021 - Chernivtsi, Ukraine
Duration: 13 Sep 202116 Sep 2021

Publication series

NameProceedings of SPIE
Volume12126
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

Conference15th International Conference on Correlation Optics 2021
Country/TerritoryUkraine
CityChernivtsi
Period13/09/2116/09/21

Keywords

  • And statistics of the stokes parameters
  • Polarization phasor sum
  • Random walk

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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