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t-matrix method for modelling optical tweezers

JOURNAL OF MODERN OPtICS 2011年第5-6期58卷 528-544页

作者： Nieminen, timo A. Loke, Vincent L. Y. Stilgoe, Alexander B. Heckenberg, Norman R. Rubinsztein-Dunlop, Halina Univ Queensland Quantum Sci Lab Sch Math & Phys Brisbane Qld 4072 Australia Ozyegin Univ Sch Engn Istanbul Turkey

We review the use of the t-matrix description of scattering, or the t-matrix method, for the calculation of optical forces and torques, especially for the computational modelling of optical tweezers. We consider both simple particles such as homogeneous isotropic spheres, spherical shells, spheroids, and so on, and complex particles, including anisotropic particles, inhomogenous particles, and geometrically complex particles.

关键词： optical tweezers t-matrix method optically-driven micromachines light scattering

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t-matrix method for biaxial anisotropic particles

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JOURNAL OF QUANtItAtIVE SPECtROSCOPY & RADIAtIVE tRANSFER 2009年第14-16期110卷 1392-1397页

作者： Schmidt, Vladimir Wriedt, thomas Univ Bremen D-28359 Brwemen Germany Inst Werkstofftech D-28359 Bremen Germany

Using the t-matrix approach electromagnetic scattering by a biaxial anisotropic non-axisymmetric particle is studied. Electromagnetic fields inside the scatterer are expressed by a system of quasi-spherical vector wave functions which are derived by use of inverse Fourier transform. Using this expansion a solution of the light scattering problem in the framework of the null-field method with discrete sources is obtained. Numerical scattering results for ellipsoids and cubes are presented. For validation the calculation results obtained are compared with results from other light scattering programs such as DDSCAt and ADDA. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.

关键词： Electromagnetic scattering Biaxial anisotropic medium t-matrix method Null-field method

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t-matrix method for electromagnetic scattering by a general anisotropic particle

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JOURNAL OF QUANtItAtIVE SPECtROSCOPY & RADIAtIVE tRANSFER 2015年 162卷 66-76页

作者： Wang, Jia Jie Han, Yi Ping Wu, Zhe Feng Han, Lu Xidian Univ Sch Phys & Optoelect Engn Xian 710071 Peoples R China

A general t-matrix solution for electromagnetic or light scattering by an anisotropic particle with an arbitrary permittivity tensor is constructed based on the extended boundary condition method (EBCM). By using the inverse Fourier transform, a system of quasi-spherical vector wave functions (qSVWFs) are obtained for an expansion representation of electromagnetic fields inside a general anisotropic medium. Special cases for gyroelectric anisotropic medium, biaxial anisotropic medium as well as uniaxial anisotropic medium are discussed. By virtue of the obtained series of qSVWFs, t-matrix formula are constructed to find solutions for characterizing electromagnetic or light scattering from an arbitrary shaped homogeneous anisotropic particle, and a home-made FORtRAN program is written. to validate the presented theoretical treatments as well as the home-made program, numerical results concerning radar cross section (RCS) or differential scattering cross sections (DSCSs) for various parameters are calculated by using the present method and are compared with those computed using other methods. Very good agreements are achieved, which partially confirms the correctness of the theoretical derivations and home-made program. Some new numerical results are also presented to analyze the influences of anisotropy components in permittivity tensor upon the scattering properties, which also provide a reference data for other methods. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： t-matrix method EBCM Anisotropic particle Arbitrary permittivity tensor

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t-matrix method for electromagnetic scattering from scatterers with complex structure

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JOURNAL OF QUANtItAtIVE SPECtROSCOPY & RADIAtIVE tRANSFER 2001年第4-6期70卷 663-673页

作者： Doicu, A Wriedt, t Inst Werkstofftechn D-28329 Bremen Germany

We describe a t-matrix program for light scattering calculations from particles with complex structure. the code treats the cases of homogeneous, layered and composite scatterers. these results are combined with basic results concerning the scattering by inhomogeneous scatterers and aggregates to apply to more general types of scatterers. Some numerical simulations are presented. (C) 2001 Elsevier Science Ltd. All rights reserved.

关键词： t-matrix method null-field method extended boundary condition method discrete sources method composite scatterers aggregated scatterers

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t-matrix method and its applications to electromagnetic scattering by particles: A current perspective

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JOURNAL OF QUANtItAtIVE SPECtROSCOPY & RADIAtIVE tRANSFER 2010年第11期111卷 1700-1703页

作者： Mishchenko, Michael I. travis, Larry D. Mackowski, Daniel W. NASA Goddard Inst Space Studies New York NY 10025 USA Auburn Univ Dept Mech Engn Auburn AL 36849 USA

this note serves as a short introduction to the reprint of our article "t-matrix computations of light scattering by nonspherical particles: a review" (JQSRt 1996;55:535-75). We first discuss the motivation for writing that article and explain its historical context. this is followed by a short overview of more recent developments. Published by Elsevier Ltd.

关键词： Electromagnetic scattering t-matrix method Nonspherical particles Radiative transfer Coherent backscattering Optical particle characterization Remote sensing

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t-matrix method for acoustical Bessel beam scattering from a rigid finite cylinder with spheroidal endcaps

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OCEAN ENGINEERING 2017年 129卷 507-519页

作者： Gong, Zhixiong Li, Wei Chai, Yingbin Zhao, Yao Mitri, Farid G. Huazhong Univ Sci & Technol Sch Naval Architecture & Ocean Engn Wuhan 430074 Peoples R China Hubei Key Lab Naval Architecture & Ocean Engn Hyd Wuhan 430074 Peoples R China Collaborat Innovat Ctr Adv Ship & Deep Sea Explor Shanghai 200240 Peoples R China Area 52 Technol ETC Chevron Santa Fe NM 87508 USA

In this paper, the t-matrix (null-field) method is developed to investigate the acoustic scattering by a rigid fixed (immovable) finite cylinder with two spheroidal endcaps immersed in a non-viscous fluid under the illumination of an unbounded zeroth-order Bessel beam with arbitrary orientation. Based on the proposed method, a MAtLAB software package is constructed accordingly, and then verified and validated to compute the acoustic scattering by a rigid finite-length cylinder in the Bessel beam. Several numerical examples are carried out to investigate the novel phenomenon of acoustic scattering by a cylinder with spheroidal endcaps in a Bessel beam with arbitrary incidence, with particular emphasis on the aspect ratios (including the ratio of total length to diameter of the finite cylinder and the ratio of polar radius to equatorial radius of the spheroidal endcaps), the 'half-cone angle of Bessel beam, the dimensionless frequency, as well as the angle of incidence. the quasi periodic oscillations are observed in the plots of the far-field backscattering form function modulus versus the dimensionless frequency, owing to the interference between the specular reflection and the Franz wave circumnavigating the finite cylinder in the surrounding fluid. A geometrical model of Bessel beam scattering is employed to further verify the effectiveness of the t-matrix method. Furthermore, the 3D far-field scattering directivity patterns at end-on incidence and 2D polar plots at arbitrary angles of incidence are exhibited, which could provide new insights into the physical mechanisms of Bessel beam scattering by finite cylinders with spheroidal endcaps of different aspect-ratios. this research work provides an impetus for engineering applications in underwater acoustics, particle characterization and the interaction of elongated structures with acoustical Bessel beams.

关键词： Bessel beam t-matrix method Rigid finite cylinder Franz wave Geometrical model

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Many-body iterative t-matrix method for large aspect ratio particles

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JOURNAL OF QUANtItAtIVE SPECtROSCOPY & RADIAtIVE tRANSFER 2013年 127卷 165-175页

作者： Sun, Bingqiang Yang, Ping Kattawar, George W. Texas A&M Univ Dept Phys & Astron College Stn TX 77843 USA Texas A&M Univ Dept Atmospher Sci College Stn TX 77843 USA

For a particle with rotational symmetry, the t-matrix is a powerful method for calculating the scattering properties. However, as the aspect ratio of the particle (defined as the ratio of the length of the rotational axis to the maximum dimension perpendicular to the rotational axis) deviates further from unity, the conventional t-matrix method becomes less efficient. Furthermore, when the aspect ratio is significantly large, the t-matrix algorithm diverges due to limited digital precision in numerical simulation. In this study, a many-body iterative t-matrix method (MIBt) is employed to calculate the scattering properties of a prolate particle (i.e., a particle with an aspect ratio larger than unity). the particle is divided into a number of sub-particles for which the scattering properties can be solved with the t-matrix method. the scattering properties of the original particle are acquired by adding the contributions of the artificially divided sub-particles and their interactions. Furthermore, the MBIt method is applicable to prolate particles with the sub-particles having the same or different refractive indices. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： t-matrix method Large aspect-ratio particles Prolate particles

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Acoustic scattering of a pair of rigid spheroids based on the t-matrix method

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FRONtIERS IN PHYSICS 2023年 11卷

作者： Yang, Yuzheng Gui, Qiang Zhang, Yang Chai, Yingbin Li, Wei Huazhong Univ Sci & Technol Sch Naval Architecture & Ocean Engn Wuhan Hubei Peoples R China Wuhan Univ Technol Sch Naval Architecture Ocean & Energy Power Engn Wuhan Peoples R China Hubei Key Lab Naval Architecture & Ocean Engn Hydr Wuhan Hubei Peoples R China Collaborat Innovat Ctr Adv Ship & Deep Sea Explora Shanghai Peoples R China

In this study, the t-matrix method combined with the addition theorems of spherical basis functions is applied to semi-analytically compute the underwater far-field acoustic scattering of a pair of rigid spheroids with arbitrary incident angles. the involvement of the addition theorems renders the multiple scattering fields of each spheroid to be translated into an identical origin. the accuracy and convergence property of the proposed method are verified and validated. the interference of specular reflection wave and Franz wave can be spotted from the oscillations of the form function. Furthermore, the propagation paths of specular reflection and Franz waves are quantitatively analyzed in the time domain with conclusions that the Franz waves reach the observation point subsequent to specular reflection waves and the time interval between these two wave series is equal to the time cost of the Franz waves traveling along the sphere surfaces. Finally, the effects of separation distances, aspect ratios (the ratio of the polar radius to equatorial radius), non-dimensional frequencies, and incidence angles of the plane wave on the far-field acoustic scattering of a pair of rigid spheroids are studied by the t-matrix method.

关键词： t-matrix method addition theorems a pair of rigid spheroids acoustic scattering far-field form function

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the t-matrix method in electron energy loss and cathodoluminescence spectroscopy calculations for metallic nano-particles

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ULtRAMICROSCOPY 2012年 117卷 46-52页

作者： Matyssek, Christian Schmidt, Vladimir Hergert, Wolfram Wriedt, thomas Max Planck Inst Microstruct Phys D-06120 Halle Germany Univ Bremen D-28359 Bremen Germany Univ Halle Wittenberg Inst Phys D-06120 Halle Saale Germany Inst Werkstofftech D-28359 Bremen Germany

In this paper, we present the application of the t-matrix method (tMM) for the calculation of Electron Energy Loss Spectra (EELS), cathodoluminescence spectra (CLS) and far-field patterns produced by metallic nano-particles. Being frequently used in electromagnetic scattering calculations, the tMM provides an efficient tool for EELS calculations as well and can be employed, e.g. for the investigation of nano-antennas. (C) 2012 Elsevier B.V. All rights reserved.

关键词： Electron Energy Loss Spectroscopy t-matrix method Cathodoluminescence spectroscopy

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Reconstruction of scatterers with four different boundary conditions by t-matrix method

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INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 2015年第4期23卷 601-616页

作者： Song, Rencheng Ye, Xiuzhu Chen, Xudong Natl Univ Singapore Dept Elect & Comp Engn Singapore 117548 Singapore

this paper introduces a general inversion method to simultaneously reconstruct scatterers with different boundary conditions such as Dirichlet, Neumann, Robin, and transmission boundaries without a priori information on their locations, shapes, or physical properties. the forward scattering of mixed scatterers is modeled by a unified framework of t-matrix method, while the objective function considered in the inverse problem is solved by a subspace-based optimization method. the unknowns are t-matrix coefficients, from which the types of boundary conditions of scatterers are identified. Numerical examples show that this method is able to recover not only the shapes of scatterers but also their physical properties and parameters.

关键词： 65N20 78M16 78M50 65N21 subspace based optimization t-matrix method inverse scattering four boundary conditions

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