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Applied Optics

Applied Optics


  • Vol. 24, Iss. 15 — Aug. 1, 1985
  • pp: 2391–2396

Information content of the scattering matrix for spheroidal particles

P. E. Geller, T. G. Tsuei, and P. W. Barber  »View Author Affiliations

Applied Optics, Vol. 24, Issue 15, pp. 2391-2396 (1985)

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The T-matrix method is shown to be an efficient and accurate procedure for calculating the scattering matrix for randomly oriented nonspherical particles. Calculated scattering matrix elements for spheroidal particles are identical to those obtained by the spheroidal harmonic approach. T-matrix calculations for a randomly oriented finite length cylinder agree well with microwave scattering measurements. Analysis of the information content of the angular variation of the matrix elements for a set of moderately sized absorbing spheroidal particles is presented. It is found that the Fourier spectrum of the phase function and a parameter related to the depolarization ratio contain particle size and shape information, respectively.

© 1985 Optical Society of America

Original Manuscript: February 7, 1985
Published: August 1, 1985

P. E. Geller, T. G. Tsuei, and P. W. Barber, "Information content of the scattering matrix for spheroidal particles," Appl. Opt. 24, 2391-2396 (1985)

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  1. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  2. W. S. Bickel, J. F. Davidson, D. R. Huffman, R. Kilkson, “Application of Polarization Effects in Light Scattering: A New Biophysical Tool,” Proc. Natl. Acad. Sci. USA 73, 486 (1976). [CrossRef] [PubMed]
  3. R. J. Perry, A. J. Hunt, D. R. Huffman, “Experimental Determinations of Mueller Matrices for Nonspherical Particles,” Appl. Opt. 17, 2700 (1978). [CrossRef] [PubMed]
  4. A. C. Holland, G. Gagne, “The Scattering of Polarized Light by Polydisperse Systems of Irregular Particles,” Appl. Opt. 9, 1113 (1970). [CrossRef] [PubMed]
  5. R. C. Thompson, J. R. Bottiger, E. S. Fry, “Measurement of Polarized Light Interactions via the Mueller Matrix,” Appl. Opt. 19, 1323 (1980). [CrossRef] [PubMed]
  6. J. R. Bottiger, E. S. Fry, R. C. Thompson, “Phase Matrix Measurements for Electromagnetic Scattering by Sphere Aggregates,” in Light Scattering by Irregularly Shaped Particles, D. Schuerman, Ed. (Plenum, New York, 1980), pp. 283–290. [CrossRef]
  7. S. Asano, M. Sato, “Light Scattering by Randomly Oriented Spheroidal Particles,” Appl. Opt. 19, 962 (1980). [CrossRef] [PubMed]
  8. R. W. Schaefer, “Calculations of the Light Scattered by Randomly Oriented Ensembles of Spheroids of Size Comparable to the Wavelength,” Ph.D. Dissertation, State University of New York at Albany (1980).
  9. D. W. Schuerman, R. T. Wang, B. A. S. Gustafson, R. W. Schaefer, “Systematic Studies of Light Scattering. 1: Particle Shape,” Appl. Opt. 20, 4039 (1981). [CrossRef] [PubMed]
  10. P. C. Waterman, “Symmetry, Unitarity, and Geometry in Electromagnetic Scattering,” Phys. Rev. D 3, 825 (1971). [CrossRef]
  11. P. Barber, C. Yeh, “Scattering of Electromagnetic Waves by Arbitrarily Shaped Dielectric Bodies,” Appl. Opt. 14, 2864 (1975). [CrossRef] [PubMed]
  12. P. M. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
  13. P. W. Barber, H. Massoudi, “Recent Advances in Light Scattering Calculations for Nonspherical Particles,” Aerosol Sci. Technol. 1, 303 (1982). [CrossRef]
  14. N. Ahmed, T. Natarajan, Discrete-Time Signals and Systems (Reston Publishing Co., Reston, Va., 1983).
  15. E. D. Brigham, The Fast Fourier Transform (Prentice-Hall, New York, 1974).

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