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Published on: September 5, 2019

Partial polarization in three dimensions.

Colin J R Sheppard1

  • 1Optical Bioimaging Laboratory, Division of Bioengineering, National University of Singapore, Singapore. colin@nus.edu.sg

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|December 24, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces new mathematical expressions for eigenvalues of the coherency matrix, aiding the geometric interpretation of partially polarized light. These findings help relate different polarization parameters for electromagnetic fields.

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Area of Science:

  • Optics and Photonics
  • Electromagnetism
  • Mathematical Physics

Background:

  • Partially polarized electromagnetic fields are described using various parameters.
  • Eigenvalues of the coherency matrix offer invariant measures of polarization.
  • A geometric interpretation of these polarization parameters is lacking.

Purpose of the Study:

  • To derive explicit expressions for the eigenvalues of the coherency matrix.
  • To provide a geometrical interpretation of the behavior of polarization parameters.
  • To explore interrelations between different polarization parameters using the Huynen decomposition.

Main Methods:

  • Derivation of explicit mathematical expressions for coherency matrix eigenvalues.
  • Application of these expressions to the Huynen decomposition.
  • Analysis of the geometrical behavior and interrelations of polarization parameters.

Main Results:

  • Novel explicit expressions for coherency matrix eigenvalues are presented.
  • A clear geometrical interpretation of polarization parameter behavior is established.
  • Interrelations between various polarization parameters are developed via the Huynen decomposition.

Conclusions:

  • The derived eigenvalue expressions offer a robust framework for understanding polarization.
  • The geometrical interpretation enhances the analysis of partially polarized light.
  • This work facilitates a deeper understanding of the relationships between different polarization descriptors.