### Выдержка

We review a novel approach to the light scattering by small layered particles in the electrostatic limit when the particle is considered to be in the uniform field. We use the expansions of all the fields in terms of the spheroidal functions related to the layer boundaries and the relations between such functions obtained by us. The approach provides the theoretical grounds for several new approximations. We demonstrate that the solution, e.g. the polarizability, given by the approach is similar to that of a small ellipsoid. We suggest two versions of the ellipsoidal model being the replacement of the particle with an ellipsoid of similar optical properties: the uniform field and form-fitting approximations. In the former, we assume that the field inside the particle is uniform and find that, for some kinds of the scatterers, such approximation is analytical. In the latter, we select the ellipsoid with the volume and the ratio of the maximum dimension to the transverse one equal to those of the particle. For small scatterers, such analytical approximation gives good results for particles of various shapes. The approximation can be also useful for quasi-axisymmetric scatterers as large as the wavelength. We consider the first two terms in the solution given by our approach for the layered particles with the concentric coaxial, but non-confocal spheroidal boundaries as new approximations. Numerical calculations demonstrate that these approximations, being analytical, have the accuracy as high as 0.1–1%. The approximations can be applied to the light scattering as well.

Язык оригинала | английский |
---|---|

Номер статьи | 23 |

Журнал | Optical and Quantum Electronics |

Том | 52 |

Номер выпуска | 1 |

Ранняя дата в режиме онлайн | 9 дек 2019 |

DOI | |

Состояние | Опубликовано - 1 янв 2020 |

### Отпечаток

### Предметные области Scopus

- Электроника, оптика и магнитные материалы
- Атомная и молекулярная физика и оптика
- Электротехника и электроника

### Цитировать

*Optical and Quantum Electronics*,

*52*(1), [23]. https://doi.org/10.1007/s11082-019-2109-0

}

*Optical and Quantum Electronics*, том. 52, № 1, 23. https://doi.org/10.1007/s11082-019-2109-0

**Ellipsoidal models of small non-spherical scatterers.** / Farafonov, Victor; Il’in, Vladimir; Ustimov, Vladimir.

Результат исследований: Научные публикации в периодических изданиях › статья

TY - JOUR

T1 - Ellipsoidal models of small non-spherical scatterers

AU - Farafonov, Victor

AU - Il’in, Vladimir

AU - Ustimov, Vladimir

PY - 2020/1/1

Y1 - 2020/1/1

N2 - We review a novel approach to the light scattering by small layered particles in the electrostatic limit when the particle is considered to be in the uniform field. We use the expansions of all the fields in terms of the spheroidal functions related to the layer boundaries and the relations between such functions obtained by us. The approach provides the theoretical grounds for several new approximations. We demonstrate that the solution, e.g. the polarizability, given by the approach is similar to that of a small ellipsoid. We suggest two versions of the ellipsoidal model being the replacement of the particle with an ellipsoid of similar optical properties: the uniform field and form-fitting approximations. In the former, we assume that the field inside the particle is uniform and find that, for some kinds of the scatterers, such approximation is analytical. In the latter, we select the ellipsoid with the volume and the ratio of the maximum dimension to the transverse one equal to those of the particle. For small scatterers, such analytical approximation gives good results for particles of various shapes. The approximation can be also useful for quasi-axisymmetric scatterers as large as the wavelength. We consider the first two terms in the solution given by our approach for the layered particles with the concentric coaxial, but non-confocal spheroidal boundaries as new approximations. Numerical calculations demonstrate that these approximations, being analytical, have the accuracy as high as 0.1–1%. The approximations can be applied to the light scattering as well.

AB - We review a novel approach to the light scattering by small layered particles in the electrostatic limit when the particle is considered to be in the uniform field. We use the expansions of all the fields in terms of the spheroidal functions related to the layer boundaries and the relations between such functions obtained by us. The approach provides the theoretical grounds for several new approximations. We demonstrate that the solution, e.g. the polarizability, given by the approach is similar to that of a small ellipsoid. We suggest two versions of the ellipsoidal model being the replacement of the particle with an ellipsoid of similar optical properties: the uniform field and form-fitting approximations. In the former, we assume that the field inside the particle is uniform and find that, for some kinds of the scatterers, such approximation is analytical. In the latter, we select the ellipsoid with the volume and the ratio of the maximum dimension to the transverse one equal to those of the particle. For small scatterers, such analytical approximation gives good results for particles of various shapes. The approximation can be also useful for quasi-axisymmetric scatterers as large as the wavelength. We consider the first two terms in the solution given by our approach for the layered particles with the concentric coaxial, but non-confocal spheroidal boundaries as new approximations. Numerical calculations demonstrate that these approximations, being analytical, have the accuracy as high as 0.1–1%. The approximations can be applied to the light scattering as well.

KW - Electrostatics

KW - Light scattering

KW - Non-spherical scatterers

UR - http://www.scopus.com/inward/record.url?scp=85076415891&partnerID=8YFLogxK

U2 - 10.1007/s11082-019-2109-0

DO - 10.1007/s11082-019-2109-0

M3 - Article

AN - SCOPUS:85076415891

VL - 52

JO - Optical and Quantum Electronics

JF - Optical and Quantum Electronics

SN - 0306-8919

IS - 1

M1 - 23

ER -