A simple analytical case
  • Gorden Videen
  • Dat Ngo
Part of the NATO Science Series book series (NAII, volume 238)


We present a semi-analytical scattering solution for a system resembling a simple cell. The model of the cell includes a spherical cytoplasm surrounded by a concentric cell membrane. Contained within the cytoplasm is a nonconcentric spherical nucleus. Because of the nature of the multi-pole expansion solution, numerical results can be acquired rapidly and accurately. Because of the spherical symmetry of the components, the light-scattering Mueller matrix elements include large amplitude oscillatory structure that may not be present in actual cells.


Asymmetry Parameter Complex Refractive Index Spherical Inclusion Addition Theorem Cirrus Cloud 
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  1. Abramowitz M., and I.A. Stegun. (1972). Handbook of Mathematical Functions. New York, Dover.MATHGoogle Scholar
  2. Bohren C.F., and D.R. Huffman. (1983). Absorption and Scattering of Light by Small Particles. New York, Wiley.Google Scholar
  3. Bronk B.V., M.J. Smith, and S. Arnold. (1993) “Photon-correlation spectroscopy for small spherical inclusions in a micrometer-sized electrodynamically levitated droplet,” Opt. Lett., 18, 93–95.ADSCrossRefGoogle Scholar
  4. Cruzan O.R. (1962). “Translational addition theorems for spherical vector wave functions,” Quart. Appl. Math. 20, 33–40.MATHMathSciNetGoogle Scholar
  5. Fu Q. (1996). “An accurate parameterization of the solar radiative properties of cirrus clouds for climate models,” J. Climate 9, 2058–2082.CrossRefADSGoogle Scholar
  6. Mishchenko M.I., L.D. Travis, and A.A. Lacis (2002). Scattering, Absorption, and Emission of Light by Small Particles. Cambridge, Cambridge University Press.Google Scholar
  7. Ngo D. (1994) Light Scattering from a Sphere with a Nonconcentric Spherical Inclusion, Ph.D. dissertation. Dept. of Physics, New Mexico State University, Las Cruces.Google Scholar
  8. Prabhu D., Melvin Davies and Gorden Videen (2001). “Light scattering calculations from oleic-acid droplets with water inclusions.” Opt. Express 8, 308–313.ADSCrossRefGoogle Scholar
  9. Secker D.R., R. Greenaway, P.H. Kaye, E. Hirst, D. Bartley, G. Videen (2000). “Light scattering from deformed droplets and droplets with inclusions: I. Experimental Results.” Appl. Opt. 39, 5023–5030.ADSCrossRefGoogle Scholar
  10. Stein S. (1961). “Addition theorems for spherical wave functions,” Quart. Appl. Math. 19, 15–24.MATHMathSciNetGoogle Scholar
  11. Stephens G.L., S.C. Tsay, P.W. Stackhouse, and P.J. Flatau (1990). “The relevance of the microphysical and radiative properties of cirrus clouds to climate and climatic feedback,” J. Atmos. Sci. 47, 1742–1753.CrossRefADSGoogle Scholar
  12. Takano Y., and K.-N. Liou (1989). “Solar radiative transfer in cirrus clouds. Part I: Single-scattering and optical properties of hexagonal ice crystals,” J. Atmos. Sci. 45, 3–19.CrossRefADSGoogle Scholar
  13. Videen G., and D. Ngo (1998). “Light scattering multipole solution for a cell,” J. Biomed Opt. 3(2), 212–220.CrossRefADSGoogle Scholar
  14. Videen, G., R.G. Pinnick, D. Ngo, Q. Fu, and P. Chýlek (1998). “The asymmetry parameter and aggregate particles,” Appl. Opt. 37, 1104–1109.ADSCrossRefGoogle Scholar
  15. Videen, G., W. Sun, Q. Fu, D.R. Secker, R. Greenaway, P.H. Kaye, E. Hirst, D. Bartley (2000). “Light scattering from deformed droplets and droplets with inclusions: II. Theoretical treatment,” Appl. Opt. 39, 5031–5039.ADSCrossRefGoogle Scholar
  16. Videen, G., D.R. Prabhu, M. Davies, F. Gonzlez, and F. Moreno (2001). “Light scattering fluctuations of a soft spherical particle containing an inclusion,” Appl. Opt. 40, 4054–4057.ADSCrossRefGoogle Scholar
  17. Wiscombe W.J. (1980). “Improved Mie scattering algorithms,” Appl. Opt. 19, 1505–1509.ADSCrossRefGoogle Scholar

Copyright information

© Springer 2007

Authors and Affiliations

  • Gorden Videen
    • 1
  • Dat Ngo
    • 2
  1. 1.US Army Research Laboratory Adelphi MarylandUSA
  2. 2.Ngo Solutions LLCHowellUSA

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