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The T-matrix method is widely used for the calculation of scattering by particles of sizes on the order of the illuminating wavelength. Although the extended boundary condition method (EBCM) is the most commonly used technique for…

光学 · 物理学 2007-05-23 T. A. Nieminen , H. Rubinsztein-Dunlop , N. R. Heckenberg

The computation of light scattering by the superposition T-matrix scheme has been so far restricted to systems made of particles that are either sparsely distributed or of near-spherical shape. In this work, we extend the range of…

光学 · 物理学 2017-09-20 Dominik Theobald , Amos Egel , Guillaume Gomard , Uli Lemmer

We derive the $\mathcal{T}$-matrix formalism tailored for numerical analysis of second-harmonic (SH) generation from arbitrarily shaped particles made of centrosymmetric optical materials. First, the transfer matrix of a single particle is…

光学 · 物理学 2025-08-18 Ivan Sekulic , Ji Tong Wang , Jian Wei You , Nicolae C. Panoiu

The article discusses the correctness of the assumption about the similarity of molecular continuum electron functions with wave functions in electron-atom scattering. The elastic scattering of slow particles by pair of non-overlapping…

原子物理 · 物理学 2022-08-01 A. S. Baltenkov , I. Woiciechowski

The momentum- and frequency-dependent T-matrix operator for the scattering of electromagnetic waves by a dielectric/conducting and para- or diamagnetic sphere is derived as a Mie-type series, and presented in a compact form emphasizing…

经典物理 · 物理学 2011-04-19 Yves-Patrick Pellegrini , Pascal Thibaudeau , Brian Stout

Motivated by recently developed techniques making it possible to compute Casimir energies for any object whose scattering S-matrix (or, equivalently, T-matrix) is available, we develop a variable phase method to compute the S-matrix for…

量子物理 · 物理学 2013-01-01 Aden Forrow , Noah Graham

We demonstrate the interest of combining Finite Element calculations with the Vector Partial Wave formulation (used in T-matrix and Mie theory) in order to characterize the electromagnetic scattering properties of isolated individual…

计算物理 · 物理学 2018-08-15 Guillaume Demésy , Brian Stout , Jean-Claude Auger

We extend the T-matrix approach to light scattering by spherical particles to some simple cases in which the scatterers are optically anisotropic. Specifically we consider cases in which the spherical particles include radially and…

光学 · 物理学 2009-11-07 A. D. Kiselev , V. Yu Reshetnyak , T. J. Sluckin

In the frame of volume integral equation methods, we introduce an alternative representation of the electromagnetic field scattered by a homogeneous object of arbitrary shape at a given frequency, in terms of a set of modes independent of…

We develop a transfer-matrix formulation of the scattering of electromagnetic waves by a general isotropic medium which makes use of a notion of electromagnetic transfer matrix $\mathbf{M}$ that does not involve slicing of the scattering…

量子物理 · 物理学 2020-09-24 Farhang Loran , Ali Mostafazadeh

We show that the use of wavelet bases for solving the momentum-space scattering integral equation leads to sparse matrices which can simplify the solution. Wavelet bases are applied to calculate the K-matrix for nucleon-nucleon scattering…

核理论 · 物理学 2009-11-07 B. M. Kessler , G. L. Payne , W. N. Polyzou

A method for the nonperturbative calculation of scattering amplitudes and cross sections is discussed in the context of light-cone quantization. The Lanczos-based recursion method of Haydock is suggested for the computation of matrix…

高能物理 - 唯象学 · 物理学 2007-05-23 J. R. Hiller

The general formulas to calculate the phase shifts of wave function of a particle scattering on a target formed by a pair of non-identical zero-range potentials are derived. It is shown that at asymptotically great distances from the target…

量子物理 · 物理学 2022-06-20 A. S. Baltenkov , I. Woiciechowski

We report the publication of treams, a new software for electromagnetic scattering computations based on the T-matrix method. Besides conventional T-matrix calculations for individual scatterers and finite clusters of particles, a unique…

计算物理 · 物理学 2023-09-07 Dominik Beutel , Ivan Fernandez-Corbaton , Carsten Rockstuhl

Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for $2\to2$ scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as…

高能物理 - 理论 · 物理学 2023-11-07 Ilija Buric , Francesco Russo , Alessandro Vichi

A coupled system of volume integral and hydrodynamic equations is solved to analyze electromagnetic scattering from nanostructures consisting of metallic and dielectric parts. In the metallic part, the hydrodynamic equation relates the free…

计算物理 · 物理学 2023-02-17 Doolos Aibek Uulu , Rui Chen , Liang Chen , Ping Li , Hakan Bagci

Scattering of a spin-1/2 particle off a spin-0 target is formulated based on a simple three-dimensional momentum-spin basis. The azimuthal behaviour of both the potential and the T-matrix elements leads to a set of integral equations for…

核理论 · 物理学 2015-06-04 Imam Fachruddin , Agus Salam

The transition-matrix ($T$-matrix) approach provides a general formalism to study scattering problems in various areas of physics, including acoustics (scalar fields) and electromagnetics (vector fields), and is related to the theory of the…

光学 · 物理学 2016-02-08 Eric C. Le Ru , Walter R. C. Somerville , Baptiste Auguié

Semi-analytic expressions for the static limit of the T-matrix for electromagnetic scattering are derived for a circular torus, expressed in bases of both toroidal and spherical harmonics. The scattering problem for an arbitrary static…

计算物理 · 物理学 2019-09-04 Matt Majic

The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

原子物理 · 物理学 2022-09-20 A. S. Baltenkov , I. Woiciechowski
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