Comprehensive T-matrix reference database: A 2009–2011 update

Abstract

a b s t r a c tThe T-matrix method is among the most versatile, efficient, and widely used theoretical techniques for the numerically exact computation of electromagnetic scattering by homogeneous and composite particles, clusters of particles, discrete random media, and particles in the vicinity of an interface separating two half-spaces with different refractive indices. This paper presents an update to the comprehensive database of Tmatrix publications compiled by us previously and includes the publications that appeared since 2007. It also lists several earlier publications not included in the original database.Published by Elsevier Ltd.

Applicability of Effective Medium Approximations to Modelling of Mesocrystal Optical Properties

“…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.…”

On the electromagnetic scattering of arbitrary shaped beams by arbitrary shaped particles: A review

“…A good definition, slightly adapted from a series of T-matrix reference databases, e.g. [16], may be as follows : In "a" T-matrix method, the incident and scattered fields are expanded in terms of suitable vector spherical wave functions, VSWFs (or in an equivalent formulation), and the relation between the columns of the respective expansion coefficients is established by means of a transition matrix (or T-matrix).…”

“…[21], [22]. As stated in [16], this definition is more inclusive than the original notion of the EBCM. It is also shared by Doicu et al [11] stating that "the null-field method is only one among many methods that can be used to compute the transition matrix", and also by Nieminen et al [23], [24].…”

“…where E 0 is the field strength (often omitted or set to 1), π |m| n and τ |m| n are generalized Legendre functions : π |m| n (cos θ) = P |m| n (cos θ) sin θ (16) τ |m| n (cos θ) = dP |m| n (cos θ) dθ (17) in which P |m| n 's are associated Legendre functions defined according to Hobson's definition :…”

“…by using a plane wave spectrum (PWS) representation. A background on EBCM may be gained from authored or edited textbooks [10], [11], [12] or from regularly produced comprehensive reference databases, namely [13], [14], [15], [16].…”