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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 10 — Oct. 1, 2001
  • pp: 2512–2517

Light scattering on hexagonal ice columns

Tom Rother, Karsten Schmidt, and Stefan Havemann  »View Author Affiliations

JOSA A, Vol. 18, Issue 10, pp. 2512-2517 (2001)

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Light scattering on finite dielectric cylinders having noncircular cross sections has become of growing importance in remote-sensing applications. For analyzing their scattering characteristics at moderate size parameters, i.e., at a region where ray-tracing techniques fail, a few methods have been developed, among which an approximation based on the generalized separation-of-variables method has become very successful. This approach reveals two interesting features, which we discuss, that reduce the numerical effort drastically if applied to hexagonal (in general, 2n-periodic) boundary surfaces. Finally, some results for the phase function of hexagonal ice columns are given.

© 2001 Optical Society of America

OCIS Codes
(010.1310) Atmospheric and oceanic optics : Atmospheric scattering
(010.2940) Atmospheric and oceanic optics : Ice crystal phenomena
(280.1310) Remote sensing and sensors : Atmospheric scattering
(290.1310) Scattering : Atmospheric scattering
(290.5850) Scattering : Scattering, particles

Original Manuscript: October 31, 2000
Revised Manuscript: February 21, 2001
Manuscript Accepted: April 27, 2001
Published: October 1, 2001

Tom Rother, Karsten Schmidt, and Stefan Havemann, "Light scattering on hexagonal ice columns," J. Opt. Soc. Am. A 18, 2512-2517 (2001)

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  1. A. J. Baran, J. S. Foot, D. L. Mitchell, “Ice crystal absorption: a comparison between theory and implications for remote sensing,” Appl. Opt. 37, 2207–2215 (1998). [CrossRef]
  2. R. P. Lawson, A. J. Heymsfield, S. M. Aulenbach, T. L. Jensen, “Shapes, sizes and light scattering properties of ice crystals in cirrus and a persistent contrail during SUCCESS,” Geophys. Res. Lett. 25, 1331–1334 (1998). [CrossRef]
  3. Y. Takano, K. N. Liou, “Radiative transfer in cirrus clouds. Part III: light scattering by irregular ice crystals,” J. Atmos. Sci. 52, 818–837 (1995). [CrossRef]
  4. Y. Takano, K. N. Liou, P. Minnis, “The effects of small ice crystals on cirrus infrared radiative properties,” J. Atmos. Sci. 49, 1487–1493 (1992). [CrossRef]
  5. M. I. Mishchenko, D. J. Wielaard, B. E. Carlson, “T-matrix computations of zenith-enhanced lidar backscatter from horizontally oriented ice plates,” Geophys. Res. Lett. 24, 771–774 (1997). [CrossRef]
  6. M. I. Mishchenko, K. Sassen, “Depolarization of lidar returns by small ice crystals: an application to contrails,” Geophys. Res. Lett. 25, 309–312 (1998). [CrossRef]
  7. M. I. Mishchenko, A. Macke, “How big should hexagonal ice crystals be to produce halos?” Appl. Opt. 38, 1626–1629 (1999). [CrossRef]
  8. P. Yang, K. N. Liou, “Light scattering by hexagonal ice crystals: comparison of finite-difference time domain and geometric optics models,” J. Opt. Soc. Am. A 12, 162–176 (1995). [CrossRef]
  9. P. Yang, K. N. Liou, “Finite-difference time domain method for light scattering by small ice crystals in three-dimensional space,” J. Opt. Soc. Am. A 13, 2072–2085 (1996). [CrossRef]
  10. K. Aydin, C. Tang, “Millimeter wave radar scattering from model ice crystal distributions,” IEEE Trans. Geosci. Remote Sensing 35, 140–146 (1997). [CrossRef]
  11. T. Rother, “Generalization of the separation of variables method for nonspherical scattering on dielectric objects,” J. Quant. Spectrosc. Radiat. Transfer 60, 335–353 (1998). [CrossRef]
  12. T. Rother, S. Havemann, K. Schmidt, “Scattering of plane waves on finite cylinders with noncircular cross sections,” in Progress in Electromagnetics Research (PIER), J. A. Kong, ed. (EMW, Cambridge, Mass.1999), Vol. 23, pp. 79–105.
  13. T. Rother, “General aspects of solving Helmholtz’s equation underlying eigenvalue and scattering problems in electromagnetic wave theory,” J. Electromagn. Waves Appl. 13, 867–888 (1999). [CrossRef]
  14. A. P. Prudnikov, J. A. Brychkov, O. I. Marichev, Integraly i Rjady (Nauka, Moscow, 1981), in Russian.
  15. F. M. Kahnert, J. J. Stamnes, K. Stamnes, “Application of the extended boundary condition method to homogeneous particles with point-group symmetries,” Appl. Opt. 40, 3110–3123 (2001). [CrossRef]
  16. S. G. Warren, “Optical constants of ice from ultraviolet to the microwave,” Appl. Opt. 23, 1206–1225 (1984). [CrossRef]
  17. M. Hess, M. Wiegner, “COP: a data library of optical properties of hexagonal ice crystals,” Appl. Opt. 33, 7740–7746 (1994); see also http://www.lrz-muenchen.de/~uh234an/www/mitarb/mhess.html . [CrossRef] [PubMed]
  18. B. Strauss, “On the climate impact of natural and anthropogenic ice clouds on the regional climate—with special regard to the microphysical influence,” Ph.D. thesis (University of Munich, Munich, Germany, 1994).

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