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It is shown that the optical properties of an irregular porous grain with effective radius $a_{\rm eff}\lesssim 3\lambda$ (where $\lambda$ is the wavelength) can be well approximated by a ``spheroidal analog'': a spheroid with appropriate…

Astrophysics of Galaxies · Physics 2025-05-15 B. T. Draine

Using the method of separation of variables and a new approach to calculations of the prolate spheroidal wave functions, we study the optical properties of very elongated (cigar-like) spheroidal particles. A comparison of extinction…

Astrophysics · Physics 2009-11-07 N V Voshchinnikov , V G Farafonov

We extend and investigate the spheroidal model of interstellar dust grains used to simultaneously interpret the observed interstellar extinction and polarization curves. We compare our model with similar models recently suggested by other…

Astrophysics of Galaxies · Physics 2015-05-14 H. K. Das , N. V. Voshchinnikov , V. B. Il'in

We use the separation of variables and T-matrix methods to calculate the optical properties of homogeneous spheroids with refractive indices from m = 1.3+0.0i up to 3+4i. It is found that the extinction cross-sections for highly absorbing…

Astrophysics · Physics 2016-08-30 N. V. Voshchinnikov , V. B. Il'in , Th. Henning , B. Michel , V. G. Farafonov

Context: Polarimetry is a very powerful tool to uncover various properties of astronomical objects that remain otherwise hidden in standard imaging or spectroscopic observations. However, the reliable measurement of the low polarization…

Instrumentation and Methods for Astrophysics · Physics 2020-02-12 S. González-Gaitán , A. M. Mourão , F. Patat , J. P. Anderson , A. Cikota , K. Wiersema , A. B. Higgins , K. Silva

We present a general framework on how the polarization of radiation due to scattering, dichroic extinction, and birefringence of aligned spheroidal dust grains can be implemented and tested in 3D Monte Carlo radiative transfer (MCRT) codes.…

Instrumentation and Methods for Astrophysics · Physics 2023-05-17 C. Peest , R. Siebenmorgen , F. Heymann , T. Vannieuwenhuyse , M. Baes

New observational facilities are becoming increasingly capable of observing reflected light from transiting and directly imaged extrasolar planets. In this study, we provide an analytic framework to interpret observed phase curves,…

Earth and Planetary Astrophysics · Physics 2015-06-03 Nikku Madhusudhan , Adam Burrows

The light scattering problem for a confocal multilayered spheroid has been solved by the extended boundary condition method (EBCM) with a corresponding spheroidal basis. The solution preserves the advantages of the approach applied…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 Victor G. Farafonov , Nikolai V. Voshchinnikov

We provide a detailed user guide for SMARTIES, a suite of Matlab codes for the calculation of the optical properties of oblate and prolate spheroidal particles, with comparable capabilities and ease-of-use as Mie theory for spheres.…

Optics · Physics 2016-02-08 W. R. C. Somerville , B. Auguié , E. C. Le Ru

Correctly modelling the absorptive properties of dust and haze particles is of great importance for determining the abundance of solid matter within protoplanetary disks and planetary atmospheres. Rigorous analyses such as the discrete…

Earth and Planetary Astrophysics · Physics 2024-10-30 M. G. Lodge , H. R. Wakeford , Z. M. Leinhardt

We calculate the wavelength dependence of the ratio of the linear polarization degree to extinction (polarizing efficiency) $P(\lambda)/A(\lambda)$ from the ultraviolet to near-infrared. The prolate and oblate particles with aspect ratios…

Astrophysics · Physics 2009-11-13 N. V. Voshchinnikov , H. K. Das

In this work the polarizability of a subwavelength core-shell sphere is considered, where the shell exhibits a radially inhomogeneous permittivity profile. A mathematical treatment of the elec- trostatic polarizability is formulated in…

Optics · Physics 2018-11-14 Dimitrios C. Tzarouchis , Ari Sihvola

We provide a theoretical foundation for the statistical approach for computing the absorption properties of particles in the Rayleigh domain. We present a general method based on the Discrete Dipole Approximation (DDA) to compute the…

Astrophysics · Physics 2015-06-24 M. Min , J. W. Hovenier , C. Dominik , A. de Koter , M. A. Yurkin

We here calculate the series expansion of the T-matrix for a spheroidal particle in the small-size/long-wavelength limit, up to third lowest order with respect to the size parameter, X, which we will define rigorously for a non-spherical…

We study the extinction efficiencies as well as scattering properties of particles of different porosity. Calculations are performed for porous pseudospheres with small size (Rayleigh) inclusions using the discrete dipole approximation.…

Astrophysics · Physics 2009-11-13 N. V. Voshchinnikov , G. Videen , Th. Henning

We derive efficient, closed form, differentiable, and numerically stable solutions for the flux measured from a spherical planet or moon seen in reflected light, either in or out of occultation. Our expressions apply to the computation of…

Earth and Planetary Astrophysics · Physics 2022-06-15 Rodrigo Luger , Eric Agol , Fran Bartolić , Daniel Foreman-Mackey

PURPOSE: To develop an automated algorithm allowing extraction of quantitative corneal transparency parameters from clinical spectral-domain OCT images. To establish a representative dataset of normative transparency values from healthy…

We propose a powerful approach to solve Laplace's equation for point sources near a spherical object. The central new idea is to use prolate spheroidal solid harmonics, which are separable solutions of Laplace's equation in spheroidal…

Classical Physics · Physics 2017-03-22 Matt Majic , Baptiste Auguie , Eric C. Le Ru

Acquisition and modeling of polarized light reflection and scattering help reveal the shape, structure, and physical characteristics of an object, which is increasingly important in computer graphics. However, current polarimetric…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Hyunho Ha , Inseung Hwang , Nestor Monzon , Jaemin Cho , Donggun Kim , Seung-Hwan Baek , Adolfo Muñoz , Diego Gutierrez , Min H. Kim

The $T$-matrix formally describes the solution of any electromagnetic scattering problem by a given particle in a given medium at a given wavelength. As such it is commonly used in a number of contexts, for example to predict the…

Classical Physics · Physics 2019-01-30 Matt Majic , Eric C. Le Ru
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