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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 12 — Apr. 20, 1998
  • pp: 2448–2463

Mueller Matrices and Information Derived from Linear Polarization Lidar Measurements: Theory

Avishai Ben-David  »View Author Affiliations


Applied Optics, Vol. 37, Issue 12, pp. 2448-2463 (1998)
http://dx.doi.org/10.1364/AO.37.002448


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Abstract

A Mueller matrix M˜ is developed for a single-scattering process such that G(θ, φ) = T˜(φa)M˜T˜(φp)u, where u is the incident irradiance Stokes vector transmitted through a linear polarizer at azimuthal angle φp, with transmission Mueller matrix T˜(φp), and G(θ, φ) is the polarized irradiance Stokes vector measured by a detector with a field of view F, placed after an analyzer with transmission Mueller matrix T˜(φa) at angle φa. The Mueller matrix M˜ is a function of the Mueller matrix S˜(θ) of the scattering medium, the scattering angle (θ, φ), and the detector field of view F. The Mueller matrixM˜ is derived for backscattering and forward scattering, along with equations for the detector polarized irradiance measurements (e.g., cross polarization and copolarization) and the depolarization ratio. The information that can be derived from the Mueller matrix M˜ on the scattering Mueller matrixS˜(θ) is limited because the detector integrates the cone of incoming radiance over a range of azimuths of 2π for forward scattering and backscattering. However, all nine Mueller matrix elements that affect linearly polarized radiation can be derived if a spatial filter in the form of a pie-slice slit is placed in the focal plane of the detector and azimuthally dependent polarized measurements and azimuthally integrated polarized measurements are combined.

© 1998 Optical Society of America

OCIS Codes
(010.3640) Atmospheric and oceanic optics : Lidar
(260.5430) Physical optics : Polarization
(290.0290) Scattering : Scattering
(290.1350) Scattering : Backscattering

Citation
Avishai Ben-David, "Mueller Matrices and Information Derived from Linear Polarization Lidar Measurements: Theory," Appl. Opt. 37, 2448-2463 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-12-2448


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References

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