Statistics of dynamic polarization speckle generated from a moving rough-surfaced retardation plate

Ning Ma, Steen G. Hanson, Mitsuo Takeda, Wei Wang

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Abstract

Laser speckle has received extensive studies in its basic properties and wide applications. In the majority of research on speckle phenomena, these random optical fields have been treated as scalar optical fields, and the main interest has been in the statistical properties together with applications of the intensity distribution of the speckle patterns. In recent years, increasing attention has been paid to the statistical properties of random electric vector fields referred to as polarization speckle with spatially varying polarization state. Statistical phenomena of random electric vector fields with their close relevance to the theories of speckles, polarization and coherence theory have come to attract emerging interest due to their importance in a variety of areas for practical applications such as biomedical optics, remote sensing, astronomical observation and optical metrology. In this paper, we investigate the dynamic polarization speckle generated by a moving rough-surfaced retardation plate and present an exact analytical expression for the space-time lagged correlation for the stochastic fields within the framework of ABCD matrix theory (Canonical Transforms). General expressions are derived for the spot size, the mean polarization speckle size, the temporal coherence length, and the peak shift of the temporal correlation. Some interesting phenomena associated with dynamic polarization speckle have been predicted including polarization speckle boiling and polarization speckle translation. A general description of these phenomena has been given for arbitrary complex-valued ABCD optical systems.

Original languageEnglish
Title of host publicationFourteenth International Conference on Correlation Optics
EditorsOleg V. Angelsky
PublisherSPIE
ISBN (Electronic)9781510635111
ISBN (Print)9781510635104
DOIs
Publication statusPublished - 6 Feb 2020
Event14th International Conference on Correlation Optics 2019 - Chernivtsi, Ukraine
Duration: 16 Sep 201919 Sep 2019

Publication series

NameProceedings of SPIE
Volume11369
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

Conference14th International Conference on Correlation Optics 2019
CountryUkraine
CityChernivtsi
Period16/09/1919/09/19

Keywords

  • Canonical transforms
  • Coherence
  • Polarization
  • Polarization speckle
  • Ray matrices
  • Statistical optics

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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  • Cite this

    Ma, N., Hanson, S. G., Takeda, M., & Wang, W. (2020). Statistics of dynamic polarization speckle generated from a moving rough-surfaced retardation plate. In O. V. Angelsky (Ed.), Fourteenth International Conference on Correlation Optics [1136902] (Proceedings of SPIE; Vol. 11369). SPIE. https://doi.org/10.1117/12.2540027