## Modeling optical properties of particles with small-scale surface roughness: combination of group theory with a perturbation approach |

Optics Express, Vol. 19, Issue 12, pp. 11138-11151 (2011)

http://dx.doi.org/10.1364/OE.19.011138

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### Abstract

A T-matrix method for scattering by particles with small-scale surface roughness is presented. The method combines group theory with a perturbation expansion approach. Group theory is found to reduce CPU-time by 4–6 orders of magnitude. The perturbation expansion extends the range of size parameters by a factor of 5 compared to non-perturbative methods. An application to optically hard particles shows that small-scale surface roughness changes scattering in side- and backscattering directions, and it impacts the single-scattering albedo. This can have important implications for interpreting remote sensing observations, and for the climate impact of mineral aerosols.

© 2011 OSA

**OCIS Codes**

(010.1110) Atmospheric and oceanic optics : Aerosols

(010.1290) Atmospheric and oceanic optics : Atmospheric optics

(290.1090) Scattering : Aerosol and cloud effects

(290.1350) Scattering : Backscattering

(290.5850) Scattering : Scattering, particles

(290.5880) Scattering : Scattering, rough surfaces

(290.5825) Scattering : Scattering theory

**ToC Category:**

Scattering

**History**

Original Manuscript: April 27, 2011

Revised Manuscript: May 17, 2011

Manuscript Accepted: May 17, 2011

Published: May 23, 2011

**Virtual Issues**

Vol. 6, Iss. 7 *Virtual Journal for Biomedical Optics*

**Citation**

Michael Kahnert and Tom Rother, "Modeling optical properties of particles with small-scale surface roughness: combination of group theory with a perturbation approach," Opt. Express **19**, 11138-11151 (2011)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-19-12-11138

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### References

- M. Kahnert, T. Nousiainen, and P. Mauno, “On the impact of small-scale surface roughness and non-sphericity on the optical properties of hematite aerosols,” J. Quant. Spectrosc. Radiat. Transfer (to be published).
- T. Rother, K. Schmidt, J. Wauer, V. Shcherbakov, and J.-F. Gaeyt, “Light scattering on Chebyshev particles of higher order,” Appl. Opt. 45, 6030–6037 (2006). [CrossRef] [PubMed]
- J.-C. Auger, G. Fernandes, K. Aptowicz, Y.-L. Pan, and R. Chang, “Influence of surface roughness on the elastic-light scattering patterns of micron-sized aerosol particles,” Appl. Phys. B 99, 229–234 (2010). [CrossRef]
- M. I. Mishchenko, V. P. Tishkovets, L. D. Travis, B. Cairns, J. M. Dlugach, L. Liu, V. K. Rosenbush, and N. N. Kiselev, “Electromagnetic scattering by a morphologically complex object: fundamental concepts and common misconceptions,” J. Quant. Spectrosc. Radiat. Transfer 112, 671–692 (2011). [CrossRef]
- K. Muinonen, “Light scattering by stochastically shaped particles,” in Light Scattering by Nonspherical Particles , M. I. Mishchenko, J. W. Hovenier, and L. D. Travis, eds. (Academic Press, 2000), pp. 323–354. [CrossRef]
- F. M. Kahnert, J. J. Stamnes, and K. Stamnes, “Application of the extended boundary condition method to homogeneous particles with point group symmetries,” Appl. Opt. 40, 3110–3123 (2001). [CrossRef]
- M. Kahnert, “Irreducible representations of finite groups in the T matrix formulation of the electromagnetic scattering problem,” J. Opt. Soc. Am. A 22, 1187–1199 (2005). [CrossRef]
- M. Kahnert, “Boundary symmetries in linear differential and integral equation problems applied to the self-consistent Green’s function formalism of acoustic and electromagnetic scattering,” Opt. Commun. 265, 383–393 (2006). [CrossRef]
- P. C. Waterman, “Matrix formulation of electromagnetic scattering,” Proc. IEEE 53, 805–812 (1965). [CrossRef]
- F. M. Schulz, K. Stamnes, and J. J. Stamnes, “Scattering of electromagnetic waves by spheroidal particles: a novel approach exploiting the T-matrix computed in spheroidal coordinates,” Appl. Opt. 37, 7875–7896 (1998). [CrossRef]
- T. A. Nieminen, H. Rubinsztein-Dunlop, and N. R. Heckenberg, “Calculation of the T-matrix: general considerations and application of the point-matching method,” J. Quant. Spectrosc. Radiat. Transfer 79–80, 1019–1029 (2003). [CrossRef]
- T. Rother and J. Wauer, “Case study about the accuracy behavior of three different T-matrix methods,” Appl. Opt. 49, 5746–5756 (2010). [CrossRef] [PubMed]
- W. Greiner and J. Reinhardt, Quantum Electrodynamics (Springer, 2008).
- T. Rother, Electromagnetic Wave Scattering on Nonspherical Particles (Springer, 2009). [CrossRef]
- F. M. Kahnert, J. J. Stamnes, and K. Stamnes, “Application of the extended boundary condition method to particles with sharp edges: a comparison of two different surface integration approaches,” Appl. Opt. 40, 3101–3109 (2001). [CrossRef]
- O. Muñoz, H. Volten, J. W. Hovenier, M. Min, Y. G. Shkuratov, J. P. Jalava, W. J. van der Zande, and L. B. F. M. Waters, “Experimental and computational study of light scattering by irregular particles with extreme refractive indices: hematite and rutile,” Astron. Astrophys. 446, 525–535 (2006). [CrossRef]
- D. Petrov, Y. Shkuvatov, and G. Videen, “Analytical light-scattering solution for Chebyshev particles,” J. Opt. Soc. Am. A 24, 1103–1119 (2007). [CrossRef]

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