## Geometrical-Optics Solution to Light Scattering by Droxtal Ice Crystals

Applied Optics, Vol. 43, Issue 12, pp. 2490-2499 (2004)

http://dx.doi.org/10.1364/AO.43.002490

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### Abstract

We investigate the phase matrices of droxtals at wavelengths of 0.66 and 11 μm by using an improved geometrical-optics method. An efficient method is developed to specify the incident rays and the corresponding impinging points on the particle surface necessary to initialize the ray-tracing computations. At the 0.66-μm wavelength, the optical properties of droxtals are different from those of hexagonal ice crystals. At the 11-μm wavelength, the phase functions for droxtals are essentially featureless because of strong absorption within the particles, except for ripple structures that are caused by the phase interference of the diffracted wave.

© 2004 Optical Society of America

**OCIS Codes**

(010.1290) Atmospheric and oceanic optics : Atmospheric optics

(010.1310) Atmospheric and oceanic optics : Atmospheric scattering

(010.3920) Atmospheric and oceanic optics : Meteorology

(280.1310) Remote sensing and sensors : Atmospheric scattering

(290.1310) Scattering : Atmospheric scattering

(290.5850) Scattering : Scattering, particles

**Citation**

Zhibo Zhang, Ping Yang, George W. Kattawar, Si-Chee Tsay, Bryan A. Baum, Yongxiang Hu, Andrew J. Heymsfield, and Jens Reichardt, "Geometrical-Optics Solution to Light Scattering by Droxtal Ice Crystals," Appl. Opt. **43**, 2490-2499 (2004)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-43-12-2490

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### References

- K. N. Liou, “Influence of cirrus clouds on weather and climate processes: a global perspective,” Mon. Weather Rev. 114, 1167–1199 (1986).
- D. K. Lynch, K. Sassen, D. O. Starr, and G. Stephens, eds., Cirrus (Oxford U. Press, New York, 2002).
- P. Wendling, R. Wendling, and H. K. Weikman, “Scattering of solar radiation by hexagonal ice crystals,” Appl. Opt. 18, 2663–2671 (1979).
- Q. Cai and K. N. Liou, “Theory of polarized light scattering by hexagonal ice crystals,” Appl. Opt. 21, 3569–3580 (1982).
- Y. Takano and K. Jayaweera, “Scattering phase matrix for hexagonal ice crystals computed from ray tracing,” Appl. Opt. 24, 3254–3263 (1985).
- Y. Takano and K. N. Liou, “Solar radiative transfer in cirrus clouds. Part I. Single-scattering and optical properties of hexagonal ice crystals,” J. Atmos. Sci. 46, 3–19 (1989).
- A. Macke, “Scattering of light by polyhedral ice crystals,” Appl. Opt. 32, 2780–2788 (1993).
- A. Macke, J. Mueller, and E. Raschke, “Single scattering properties of atmospheric ice crystals,” J. Atmos. Sci. 53, 2813–2825 (1996).
- K. Muinonen, “Scattering of light by crystals: a modified Kirchhoff approximation,” Appl. Opt. 28, 3044–3050 (1989).
- M. Hess, R. B. A. Koelemeijer, and P. Stammes, “Scattering matrices of imperfect hexagonal crystals,” J. Quant. Spectrosc. Radiat. Transfer 60, 301–308 (1998).
- P. Yang and K. N. Liou, “Single-scattering properties of complex ice crystals in terrestrial atmosphere,” Contrib. Atmos. Phys. 71, 223–248 (1998).
- M. I. Mishchenko, W. B. Rossow, A. Macke, and A. A. Lacis, “Sensitivity of cirrus cloud albedo, bidirectional reflectance, and optical thickness retrieval to ice-particle shape,” J. Geophys. Res. 101, 16973–16985 (1996).
- K. N. Liou, Y. Takano, and P. Yang, “2000: light scattering and radiative transfer by ice crystal clouds: applications to climate research,” in Light Scattering by Nonspherical Particles: Theory, Measurements, and Geophysical Applications, M. I. Mishchenko, J. W. Hovenier, and L. D. Travis, eds. (Academic, San Diego, Calif., 2000), Chap. 15, pp. 417–449.
- A. J. Heymsfield and J. Iaquinta, “Cirrus crystal terminal velocities,” J. Atmos. Sci. 57, 916–938 (2000).
- P. R. Lawson, B. A. Baker, C. G. Schmitt, and T. J. Jensen, “An overview of microphysical properties of Arctic clouds observed in May and July 1998 during FIRE ACE,” J. Geophys. Res. 106, 14989–15014 (2001).
- E. J. Jensen, O. B. Toon, H. B. Selkirk, J. D. Spinhirne, and M. R. Schoeberl, “On the formation and persistence of subvisible cirrus clouds near the tropical tropopause,” J. Geophys. Res. 101, 21361–21375 (1996).
- A. J. Heymsfield, “Cirrus uncinus generating cells and the evolution of cirriform clouds. Part I: Aircraft observations of the growth of the ice phase,” J. Atmos. Sci. 32, 799–808 (1975).
- A. J. Heymsfield, K. M. Miller, and J. D. Spinhirne, “The 27–28 October 1986 FIRE IFO cirrus case study: cloud microstructure,” Mon. Weather Rev. 118, 2313–2328 (1990).
- P. Yang, B.-C. Gao, B. A. Baum, W. Wiscombe, Y. Hu, S. L. Nasiri, A. Heymsfield, G. McFarquhar, and L. Miloshevich, “Sensitivity of cirrus bidirectional reflectance in MODIS bands to vertical inhomogeneity of ice crystal habits and size distributions,” J. Geophys. Res. 106, 17267–17291 (2001).
- G. M. McFarquhar, P. Yang, A. Macke, and A. J. Baran, “A new parameterization of single-scattering solar radiative properties for tropical anvils using observed ice crystal size and shape distributions,” J. Atmos. Sci. 59, 2458–2478 (2002).
- M. I. Mishchenko, “Light scattering by size-shape distributions of randomly oriented axially symmetric particles of a size comparable to wavelength,” Appl. Opt. 32, 623–625 (1993).
- J. Reichardt, S. Reichardt, P. Yang, and T. J. McGee, “Retrieval of polar stratospheric cloud microphysical properties from lidar measurements: dependence on particle shape assumptions,” J. Geophys. Res. 107D, 10.1029/2001JD001021 (2002).
- L. Liu and M. I. Mishchenko, “Constraints on PSC particle microphysics derived from lidar observations,” J. Quant. Spectrosc. Radiat. Transfer 70, 817–831 (2001).
- P. Yang, B. A. Baum, A. J. Heymsfield, Y.-X. Hu, H.-L. Huang, S.-C. Tsay, and S. A. Ackerman, “Single scattering properties of droxtals,” J. Quant. Spectrosc. Radiat. Transfer 79–80, 1159–1169 (2003).
- W. C. Thuman and E. Robinson, “Studies of Alaskan ice-fog particles,” J. Meteorol. 11, 151–156 (1954).
- T. Ohtake, “Unusual crystal in ice fog,” J. Atmos. Sci. 27, 509–511 (1970).
- W. Sun and Q. Fu, “Finite-difference time-domain solution of light scattering by dielectric particles with large complex refractive indices,” Appl. Opt. 39, 5569–5578 (2000).
- M. I. Mishchenko, J. W. Hovenier, and L. D. Travis, Light Scattering by Nonspherical Particles (Academic, San Diego, Calif., 2000).
- F. M. Kahnert, “Numerical methods in electromagnetic scattering theory,” J. Quant. Spectrosc. Radiat. Transfer 79–80, 775–824 (2003).
- M. I. Mishchenko and A. Macke, “How big should hexagonal ice crystals be to produce halos?” Appl. Opt. 38, 1626–1629 (1999).
- S. Havemann, A. J. Baran, and J. M. Edwards, “Implementation of the T-matrix method on a massively parallel machine: a comparison of hexagonal ice cylinder single-scattering properties using the T-matrix and improved geometric optics methods,” J. Quant. Spectrosc. Radiat. Transfer 79–80, 707–720 (2003).
- P. Yang and K. N. Liou, “Light scattering by hexagonal ice crystals: comparison of finite-difference time domain and geometric optics methods,” J. Opt. Soc. Am. A 12, 162–176 (1995).
- P. Yang and 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).
- P. Yang and K. N. Liou, “Geometric-optics integral-equation method for light scattering by nonspherical ice crystals,” Appl. Opt. 35, 6568–6584 (1996).
- A. J. Heymsfield and L. M. Miloshevich, “Homogeneous ice nucleation and supercooled liquid water in orographic wave clouds,” J. Atmos. Sci. 50, 2335–2353 (1993).
- D. Rosenfeld and W. L. Woodley, “Deep convective clouds with sustained supercooled liquid water down to −37.5 degrees,” Nature (London) 405, 440–442 (2000).
- R. Greenler, Rainbows, Halos and Glories (Cambridge U. Press, Cambridge, UK, 1980).
- S. G. Warren, “Optical constants of ice from the ultraviolet to the microwave,” Appl. Opt. 23, 1206–1225 (1984).
- J. Iaquinta, H. Isaka, and P. Personne, “Scattering phase function of bullet rosette ice crystals,” J. Atmos. Sci. 52, 1401–1413 (1995).
- K. N. Liou, Introduction to Atmospheric Radiation (Academic, New York, 1980).
- P. Yang, B.-C. Gao, B. A. Baum, Y. X. Hu, W. J. Wiscombe, M. I. Mishchenko, D. M. Winker, and S. L. Nasiri, “Asymptotic solutions for optical properties of large particles with strong absorption,” Appl. Opt. 40, 1532–1547 (2001).
- Y. K. Lee, P. Yang, M. I. Mishchenko, B. A. Baum, Y. Hu, H.-L. Huang, W. J. Wiscombe, and A. J. Baran, “Use of circular cylinders as surrogates for hexagonal pristine ice crystals in scattering calculations at infrared wavelengths,” Appl. Opt. 42, 2653–2664 (2003).
- S. Reichardt and J. Reichardt, “Effect of multiple scattering on depolarization measurements with spaceborne lidars,” Appl. Opt. 42, 3620–3633 (2003).

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