OSA's Digital Library

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


View Full Text Article

Enhanced HTML    Acrobat PDF (321 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A Mueller matrix is developed for a single-scattering process such that G(θ, ϕ) = a ) p )u, where u is the incident irradiance Stokes vector transmitted through a linear polarizer at azimuthal angle ϕ p , with transmission Mueller matrix p ), 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 a ) at angle ϕ a . The Mueller matrix is a function of the Mueller matrix (θ) of the scattering medium, the scattering angle (θ, ϕ), and the detector field of view F. The Mueller matrix 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 on the scattering Mueller matrix (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

History
Original Manuscript: March 5, 1997
Revised Manuscript: September 2, 1997
Published: April 20, 1998

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


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. S. Chandrasekhar, Radiative Transfer (Oxford U. Press, London, 1950).
  2. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  3. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  4. C.-R. Hu, G. W. Kattawar, M. E. Parkin, P. Herb, “Symmetry theorems on the forward and backward scattering Mueller matrices for light scattering from nonspherical dielectric scatter,” Appl. Opt. 26, 4159–4173 (1987). [CrossRef] [PubMed]
  5. J. W. Hovenier, “Structure of a general pure Mueller matrix,” Appl. Opt. 33, 8318–8324 (1994). [CrossRef] [PubMed]
  6. K. Sassen, “The polarization lidar technique for cloud research: a review and current assessment,” Bull. Am. Meteorol. Soc. 72, 1848–1866 (1991). [CrossRef]
  7. K. Sassen, “Advances in polarization lidar for cloud remote sensing,” Proc. IEEE 82, 1907–1914 (1994). [CrossRef]
  8. S. R. Pal, A. I. Carswell, “Polarization anisotropy in lidar multiple scattering from atmospheric clouds,” Appl. Opt. 24, 3464–3471 (1985). [CrossRef] [PubMed]
  9. G. Roy, L. R. Bissonnette, “Non-simultaneous measurements of multiple-field-of-view lidar returns in clouds: time correlation length,” in Advances in Atmospheric Remote Sensing with Lidar, A. Ansmann, R. Neuber, P. Rairoux, U. Wandinger, eds. (Springer-Verlag, Berlin, 1997), pp. 99–102. [CrossRef]
  10. K. Sassen, H. Zhao, “Lidar multiple scattering in water droplet clouds: toward an improved treatment,” Opt. Rev. 2, 394–400 (1995). [CrossRef]
  11. S. Asano, M. Sato, “Light scattering by randomly oriented spheroidal particles,” Appl. Opt. 19, 962–974 (1980). [CrossRef] [PubMed]
  12. M. I. Mishchenko, L. R. Travis, “Light scattering by polydispersions of randomly oriented spheroids with sizes comparable to wavelengths of observation,” Appl. Opt. 33, 7206–7225 (1994). [CrossRef] [PubMed]
  13. A. C. Holland, G. Gagne, “The scattering of polarized light by polydisperse systems of irregular particles,” Appl. Opt. 9, 1113–1121 (1970). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited