### Abstract

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 ~ 10^{6} dipoles are used. We show the extinction efficiencies and 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.

Original language | English |
---|---|

Pages (from-to) | 577-585 |

Number of pages | 9 |

Journal | earth, planets and space |

Volume | 50 |

Issue number | 6-7 |

DOIs | |

Publication status | Published - Jan 1 1998 |

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### All Science Journal Classification (ASJC) codes

- Geology
- Space and Planetary Science

### Cite this

*earth, planets and space*,

*50*(6-7), 577-585. https://doi.org/10.1186/BF03352151

**Light scattering by irregular interplanetary dust particles.** / Okamoto, Hajime; Xu, Yu Lin.

Research output: Contribution to journal › Article

*earth, planets and space*, vol. 50, no. 6-7, pp. 577-585. https://doi.org/10.1186/BF03352151

}

TY - JOUR

T1 - Light scattering by irregular interplanetary dust particles

AU - Okamoto, Hajime

AU - Xu, Yu Lin

PY - 1998/1/1

Y1 - 1998/1/1

N2 - 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 a1-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 a1-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 a1-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 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 a1-term method. The a1-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.

AB - 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 a1-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 a1-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 a1-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 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 a1-term method. The a1-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.

UR - http://www.scopus.com/inward/record.url?scp=0032450068&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032450068&partnerID=8YFLogxK

U2 - 10.1186/BF03352151

DO - 10.1186/BF03352151

M3 - Article

AN - SCOPUS:0032450068

VL - 50

SP - 577

EP - 585

JO - Earth, Planets and Space

JF - Earth, Planets and Space

SN - 1343-8832

IS - 6-7

ER -