Special Issue: The Zodiacal Cloud Sciences
- Open Access
Light scattering by irregular interplanetary dust particles
Earth, Planets and Space volume 50, pages 577–585 (1998)
We review recent progresses in light scattering for non-spherical particles. Special attention is paid to cluster of spheres in order to improve our understanding of interplanetary dust particles. For scattering by non-spherical particles the discrete-dipole approximation (DDA) has widely been used in many scientific fields. However mainly due to the requirements of large computing memory and long computing time, the applicability of this theory is practically limited for rather small particle compared with wavelength. In order to overcome this practical problem, i.e., the large particle can not be calculated by the DDA, we recently developed the a 1-term method, which is a modification version of the DDA where the dipole polarizability is determined by the first term of scattering coefficient in Mie theory. Accuracy of this method is tested by comparing the solutions by the a 1-term method with those by modal analysis, which gives the analytical solutions for cluster of spherical monomers. According to the error analysis mentioned above, the applicabilities of the a 1-term method are established as follows. The maximum size parameter of the monomer in the cluster is 1 and the total size parameter of the cluster can exceed X ∼ 100 when the N ∼ 106 dipoles are used. We show the extinction efficiencies and asymmetry factors for cluster of spheres whose size parameter is larger than the wavelength, e.g., the volume equivalent size parameter X is larger than 30. Finally we summarize the applicabilities of DDA, T-Matrix, modal analysis and the a 1-term method. The a 1-term method can partly fulfill a gap where both DDA and the ray tracing technique based on geometrical optics can not be applied when the target is cluster. However for the target which has edges remains to be problematic. This would be the topic which should be focused on future research.
Asano, S. and G. Yamamoto, Light scattering by a spheroidal particle, Appl. Opt., 14, 29–49, 1975.
Bohren, C. F. and D. R. Huffman, Absorption and Scattering of Light by Small Particles, 530pp., John Wiley and Sons, New York, 1983.
Brownlee, D. E., Micro particle studies by sampling techniques, in Cosmic Dust, edited by A. M. McDonell, 295pp., John Wiley and Sons, New York, 1978.
Doyle, W. T., Electrodynamics response of metal spheres, J. Opt. Soc. Am. A, 2, 1031–1034, 1985.
Draine, B. T., The discrete-dipole approximation and its application to interstellar graphite grains, Astrophys. J., 333, 848–872, 1988.
Draine, B. T. and J. J. Goodman, Beyond Clausius-Mossotti: wave propagation on a polarizable point lattice and the discrete dipole approximation, Astrophys. J., 405, 685–697, 1993.
Dungey, C. E. and C. F. Bohren, Light scattering by nonspherical particles: a refinement to the coupled-dipole method, J. Opt. Soc. Am. A, 8, 81–87, 1991.
Flatau, P. J., G. L. Stephens, and B.T. Draine, Light scattering by rectangular solids in the discrete-dipole approximation: a new algorithm exploiting the Block-Toeplitz structure, J. Opt. Soc. Am. A, 7, 593–600, 1990.
Fuller, K. W., Optical resonances and two-sphere systems, Appl. Opt., 30, 4716–4731, 1991.
Goedecke, G. H. and S. G. O’Brien, Scattering by irregular inhomogeneous particles via the digitized Green’s function algorithm, Appl. Opt., 28, 2431–2438, 1988.
Hage, J. I. and J. M. Greenberg, A model for the optical properties of porous grains, Astrophys. J., 361, 260–274, 1990.
Kozasa, T., J. Blum, and T. Mukai, Optical properties of dust aggregates I. Wavelength dependence, Astron. Astrophys., 263, 423–432, 1992.
Kozasa, T., J. Blum, H. Okamoto, and T. Mukai, Optical properties of dust aggregates II. Angular dependence of scattered light, Astron. Astrophys., 276, 278–288, 1993.
Liversay, D. E. and K. Chen, Electromagnetic fields induced inside arbitrarily shaped biological bodies, IEEE Trans. Microwave Theory Tech., MTT-22, 1273–1280, 1974.
Lumme, K. and J. Rahola, Light scattering by porous dust particles in the discrete-dipole approximation, Astrophys. J., 425, 653–667, 1994.
Mackowski, D. W., Analysis of radiative scattering for multiple sphere configurations, Proc. R. Soc. London Ser. A, 433, 599–614, 1991.
Mishchenko, M. I., L. D. Travis, and D. W. Mackowski, T-matrix computations of light scattering by nonspherical particles: a review, J. Quant. Spectrosc. Radiat. Transfer, 57, 767–794, 1997.
Mukai, T., H. Ishimoto, T. Kozasa, J. Blum, and J. M. Greenberg, Radiation pressure forces of fluffy porous grains, Astron. Astrophys., 262, 315–320, 1992.
Okamoto, H., Light scattering by clusters: the a1-term method, Opt. Rev., 2, 407–412, 1995.
Okamoto, H., T. Mukai, and T. Kozasa, The 10 μm-feature of aggregates in comets, Planet. Space Sci., 42, 643–649, 1994.
Okamoto, H., A. Macke, M. Quante, and E. Raschke, Modeling of backscattering by non-spherical ice particles for the interpretation of cloud radar signals at 94 GHz. An error analysis, Beitr. Phys. Atmosph., 68, 319–334, 1995.
Purcell, E. M. and C. R. Pennypacker, Scattering and absorption of light by nonspherical dielectric grains, Astrophys. J., 186, 705–714, 1973.
Van de Hulst, H. C., Light Scattering by Small Particles, 470pp., Dover, New York, 1981.
West, R. A., Optical properties of aggregate particles whose outer diameter is comparable to the wavelength, Appl. Opt., 30, 5316–5324, 1991.
Wielaard, D. J., M. I. Mishchenko, A. Macke, and B. E. Carlson, Improved T-matrix computations for large, nonabsorbing and weakly absorbing nonspherical particles and comparison with geometric optics approximation, Appl. Opt., 36, 4305–4313, 1997.
Xu, Y., Electromagnetic scattering by an aggregate of spheres, Appl. Opt., 34, 4573–4588, 1995.
This work was mainly done when H. O. was in Center for Climate System Research, University of Tokyo.
About this article
Cite this article
Okamoto, H., Xu, Yl. Light scattering by irregular interplanetary dust particles. Earth Planet Sp 50, 577–585 (1998). https://doi.org/10.1186/BF03352151
- Size Parameter
- Complex Refractive Index
- Dipole Polarizability
- Longe Axis
- Asymmetry Factor