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December 1, 1983Journal of the Optical Society of America

Vector representation of behavior of polarized light in a weakly inhomogeneous medium with birefringence and dichroism

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Authors

HKH. KuboRNRyo Nagata

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Overview

Theoretical analysis reveals polarized light evolution in weakly inhomogeneous absorbing media, demonstrating a vector formulation using the Poincaré sphere.

Key Points

  • To develop a vectorial and geometrical representation governing the evolution of polarized light propagating through weakly inhomogeneous, absorbing, anisotropic, and optically active media.
  • Applied geometrical optics approximations to Maxwell's equations to describe light propagation along the path axis using Pauli spin matrices.
  • Transformed the field equations using the Stokes vector and a normalized polarization vector to derive an explicit evolution equation.
  • Yielded a compact vector equation, ∂s/∂x3 = Ω^ × s + (T^ × s) × s, isolating birefringent and dichroic medium contributions.
  • Resolved linear and circular components of birefringence and dichroism into distinct geometric transformations mapped onto the Poincaré sphere.

Cite This Study

Kubo et al. (1983) studied this question.

synapsesocial.com/papers/69dabafc4a1e15904c835ebahttps://doi.org/10.1364/josa.73.001719
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