Comprehensive T-matrix reference database: A 2004–06 update

Mishchenko, Michael I.; Videen, Gorden; Khlebtsov, Nikolai G.; Wriedt, Thomas

doi:10.1016/j.jqsrt.2007.01.022

Cited by 92 publications

(51 citation statements)

References 261 publications

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“…[13][14][15] Other approaches are required, however, for modeling electrostatic and electromagnetic fields in arbitrary configurations of spheres. These approaches include iterative, [16][17][18][19][20][21] T-matrix, [22][23][24][25][26] fast multipole, [27][28][29][30] and other matrix methods. 31 Inherent to all of these multipole approaches is the determination of effective properties by directly computing the microscopic interactions.…”

Section: Introductionmentioning

confidence: 99%

Modeling the permittivity of two-phase media containing monodisperse spheres: Effects of microstructure and multiple scattering

et al. 2007

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A numerical modeling approach was developed to predict the dielectric properties of heterogeneous particulate materials with arbitrary microstructures. To test the method, simulation and experimental data were acquired for the effective permittivities of various glass sphere suspensions. Both ordered lattices and random microstructures of up to 3600 spheres were modeled for volume fractions of 0.025-0.60. The electric fields in the suspensions were computed using an iterative multipole method that included multiple-scattering effects. The effective permittivities were obtained by averaging the electric field and electric displacement over a representative volume. Frequency spectra, electric field images, and single-scattering results ͑i.e., no particleparticle interactions͒ were additionally generated. The results were compared to experimental data for random close-packed microstructures, to effective-medium approximations, to exact lattice models, and to a perturbation expansion model. The comparisons showed that the iterative models agreed with the exact lattice models to within 3.31% for crystalline suspensions. Results for random suspensions agreed with the perturbation expansion model to within 1.76% for volume fractions up to 0.50. Single-scattering models additionally predicted permittivities for the microstructures as well as or better than the Maxwell Garnett approximation ͓Philos. Trans. R. Soc. London, Ser. A 203, 385 ͑1904͔͒, suggesting that microstructural effects and multipole moments higher than the dipole are required for more accurate statistical prediction of effective permittivities. The effective permittivities, convergence behavior, and dispersion behavior of the simulations were sensitive to both microstructure and the extent of multiple scattering included in the models, illustrating how the macroscopic properties depend significantly on the microscopic details of the interactions. In contrast to other approaches, the iterative multipole method can model both the frequency and spatial dependencies of the electromagnetic properties of particulate materials, as well as a wide variety of microstructures, including polydisperse and hierarchical systems.

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Section: Introductionmentioning

confidence: 99%

Modeling the permittivity of two-phase media containing monodisperse spheres: Effects of microstructure and multiple scattering

et al. 2007

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“…Over the years, analytic extensions were developed allowing us to compute scattering from axially symmetric particles [30], superellipsoids [31], rotated particles [32], particle ensembles [17,33], orientation averaged scattering [30], particles close or deposited on a surface [34] for particles with known T-matrix. The progress in the field is reflected in the Comprehensive T-matrix reference database [35][36][37][38][39][40], books [27,28,32,41], and collections of simulation programs [42,43]. The results presented in the paper under the name "T-matrix" rely on the superposition T-matrix method [17,33], which was programmed in MATLAB R following [27,32] for defining off diagonal elements of the matrix and using the Lorenz-Mie code described before in Section 4.3 for the diagonal blocks.…”

Section: T-matrix Methodsmentioning

confidence: 99%

Applicability of Effective Medium Approximations to Modelling of Mesocrystal Optical Properties

Zhuromskyy

2016

Crystals

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Rigorous superposition T-matrix method is used to compute light interaction with mesocrystalline structures. The results are used to validate the applicability of effective medium theories for computing the effective optical constants of mesocrystal structures composed of optically isotropic materials. It is demonstrated that the Maxwell-Garnett theory can fit the rigorous simulation results with an average accuracy of 2%. The thus obtained refractive indexes can be used with any electromagnetic simulation software to represent the response of mesocrystals composed of optically small primary particles arranged into a cubic type lattice structures.

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“…Классическими работами здесь является теоретическая статья [22] и публикация [23] с численными результатами. Многие работы, которые применяли такой подход к слоистым рассеивателям, процитированы во всеобъемлющих обзо-рах [24,25]. Еще два подобных метода -обобщенный метод поточечной сшивки (PMM) и метод обобщенных мультиполей (GMT) применялись к слоистым частицам, например в [26] и [27] соответственно.…”

Section: вг фарафонов ви устимов вб ильин мв соколовскаяunclassified

Эллипсоидальная Модель Для Малых Многослойных Частиц

Фарафонов¹,

Устимов²,

Ильин³

et al. 2018

Журнал Технической Физики

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Поступила в редакцию 22.09.2017 г.В настоящей работе построена эллипсоидальная модель для малых слоистых несферических частиц, предложены способы построения " эффективных" многослойных эллипсоидов, светорассеивающие свойства которых были бы близки к свойствам исходных частиц. Для осесимметричных частиц речь идет о вытянутых или сплюснутых сфероидах (эллипсоидах вращения). Численные расчеты поляризуемости и сечений рассеяния малых слоистых несферических частиц, в том числе неконфокальных (подобных) сфероидов, чебышевских частиц и псевдосфероидов, проводятся разными приближенными и строгими методами. К приближенным подходам относится использование эллипсоидальной модели, в рамках которой поляризуемость слоистой частицы определяется двумя способами. В первом случае она вычисляется в приближении конфокальных сфероидов (CEA), а во втором -как линейная комбинация поляризуемостей вложенных сфероидов пропорционально объемам слоев (LVA). Из строгих методов применяются ЕВСМ (метод расширенных граничных условий) и обобщенный SVM (метод разделения переменных). На основании сравнения результатов, полученных с помощью строгих и приближенных подходов, обсуждены недостатки и достоинства последних.

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Comprehensive T-matrix reference database: A 2004–06 update

Cited by 92 publications

References 261 publications

Modeling the permittivity of two-phase media containing monodisperse spheres: Effects of microstructure and multiple scattering

Modeling the permittivity of two-phase media containing monodisperse spheres: Effects of microstructure and multiple scattering

Applicability of Effective Medium Approximations to Modelling of Mesocrystal Optical Properties

Эллипсоидальная Модель Для Малых Многослойных Частиц

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