## Examination of surface roughness on light scattering by long ice columns by use of a two-dimensional finite-difference time-domain algorithm

Applied Optics, Vol. 43, Issue 9, pp. 1957-1964 (2004)

http://dx.doi.org/10.1364/AO.43.001957

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### Abstract

Natural particles such as ice crystals in cirrus clouds generally are not pristine but have additional microroughness on their surfaces. A two-dimensional finite-difference time-domain (FDTD) program with a perfectly matched layer absorbing boundary condition is developed to calculate the effect of surface roughness on light scattering by long ice columns. When we use a spatial cell size of 1/120 incident wavelength for ice circular cylinders with size parameters of 6 and 24 at wavelengths of 0.55 and 10.8 μm, respectively, the errors in the FDTD results in the extinction, scattering, and absorption efficiencies are smaller than ∼0.5%. The errors in the FDTD results in the asymmetry factor are smaller than ∼0.05%. The errors in the FDTD results in the phase-matrix elements are smaller than ∼5%. By adding a pseudorandom change as great as 10% of the radius of a cylinder, we calculate the scattering properties of randomly oriented rough-surfaced ice columns. We conclude that, although the effect of small surface roughness on light scattering is negligible, the scattering phase-matrix elements change significantly for particles with large surface roughness. The roughness on the particle surface can make the conventional phase function smooth. The most significant effect of the surface roughness is the decay of polarization of the scattered light.

© 2004 Optical Society of America

**OCIS Codes**

(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics

(010.1310) Atmospheric and oceanic optics : Atmospheric scattering

(030.5770) Coherence and statistical optics : Roughness

(290.0290) Scattering : Scattering

(290.5850) Scattering : Scattering, particles

(290.5890) Scattering : Scattering, stimulated

**History**

Original Manuscript: June 17, 2003

Revised Manuscript: November 10, 2003

Published: March 20, 2004

**Citation**

Wenbo Sun, Norman G. Loeb, Gorden Videen, and Qiang Fu, "Examination of surface roughness on light scattering by long ice columns by use of a two-dimensional finite-difference time-domain algorithm," Appl. Opt. **43**, 1957-1964 (2004)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-43-9-1957

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### References

- 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]
- J.-M. Perrin, J.-P. Sivan, “Scattering and polarization of light by rough and porous interstellar grains,” Astron. Astrophys. 247, 497–504 (1991).
- D. B. Vaidya, R. Gupta, “Extinction by porous silicate and graphite grains,” Astron. Astrophys. 328, 634–640 (1997).
- K. Chamaillard, J.-P. J. Lafon, “Statistical approach of the effect of roughness on the polarization of light scattered by dust grains,” J. Quant. Spectrosc. Radiat. Transfer 70, 519–528 (2001). [CrossRef]
- E. M. Purcell, C. P. Pennypacker, “Scattering and absorption of light by nonspherical dielectric grains,” Astrophys. J. 196, 705–714 (1973). [CrossRef]
- A. Mugnai, W. J. Wiscombe, “Scattering of radiation by moderately nonspherical particles,” J. Atmos. Sci. 37, 1291–1307 (1980). [CrossRef]
- J. I. Peltoniemi, K. Lumme, K. Muinonen, W. M. Irvine, “Scattering of light by stochastically rough particles,” Appl. Opt. 19, 4088–4095 (1989). [CrossRef]
- K. Muinonen, T. Nousiainen, P. Fast, K. Lumme, J. I. Peltoniemi, “Light scattering by Gaussian random particles: ray optics approximation,” J. Quant. Spectrosc. Radiat. Transfer 55, 577–601 (1996). [CrossRef]
- A. Battaglia, K. Muinonen, T. Nousiainen, J. I. Peltoniemi, “Light scattering by Gaussian particles: Rayleigh-ellipsoid approximation,” J. Quant. Spectrosc. Radiat. Transfer 63, 277–303 (1999). [CrossRef]
- W. Sun, T. Nousiainen, K. Muinonen, Q. Fu, N. G. Loeb, G. Videen, “Light scattering by Gaussian particles: a solution with finite-difference time-domain technique,” J. Quant. Spectrosc. Radiat. Transfer 79-80, 1083–1090 (2003). [CrossRef]
- K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equation in isotropic media,” IEEE Trans. Antennas Propag. AP-14, 302–307 (1966).
- 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]
- 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]
- W. Sun, Q. Fu, Z. Z. Chen, “Finite-difference time-domain solution of light scattering by dielectric particles with a perfectly matched layer absorbing boundary condition,” Appl. Opt. 38, 3141–3151 (1999). [CrossRef]
- W. Sun, Q. Fu, “Finite-difference time-domain solution of light scattering by dielectric particles with large complex refractive indices,” Appl. Opt. 39, 5569–5578 (2000). [CrossRef]
- W. Sun, N. G. Loeb, Q. Fu, “Finite-difference time-domain solution of light scattering and absorption by particles in an absorbing medium,” Appl. Opt. 41, 5728–5743 (2002). [CrossRef] [PubMed]
- J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994). [CrossRef]
- D. E. Merewether, R. Fisher, F. W. Smith, “On implementing a numeric Huygen’s source in a finite difference program to illustrate scattering bodies,” IEEE Trans. Nucl. Sci. NS-27, 1829–1833 (1980). [CrossRef]
- A. Taflove, Computational Electrodynamics: the Finite-Difference Time Domain Method (Artech House, Boston, Mass., 1995).
- G. Lazzi, O. P. Gandhi, “On the optimal design of the PML absorbing boundary condition for the FDTD code,” IEEE Trans. Antennas Propag. 45, 914–916 (1996). [CrossRef]
- G. Videen, W. S. Bickel, “Light-scattering Mueller matrix for a rough fiber,” Appl. Opt. 31, 3488–3492 (1992). [CrossRef] [PubMed]
- G. Videen, W. S. Bickel, “Light-scattering Mueller matrix from a fiber as a function of MgO contamination,” Appl. Opt. 30, 3880–3885 (1991). [CrossRef] [PubMed]

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