The Transition Matrix Method (T-matrix method, TMM) is a computational technique of light scattering by nonspherical particles originally formulated by Peter C. Waterman (1928–2012) in 1965. [1] [2] The technique is also known as null field method and extended boundary condition method (EBCM). [3]

Jul 15, 2023 · At present, the T -matrix method is the fastest exact technique for the computation of nonspherical scattering based on a direct solution of Maxwell's equations. The T -matrix codes are orders of magnitude faster than those based on the DDA, VIEF, and FDTD techniques.

In the T-matrix method, the incident and scattered electric fields are expanded in series of suitable (vector) spherical wave functions, and the relation between the columns of the respective expansion coefficients is established by means of a transition matrix (or T-matrix). This concept can be applied to the entire scatterer as well

The matrix T = G H − 1 is therefore called a T-matrix, and the described technique for solving the diffraction boundary-value problem is called the T-matrix method.

The T-matrix method (also called null ...eld method or extended boundary condition method) is the best known of these methods because fast computer codes are easily available [7], [8], but it is mainly applied to scattering by axisymmetric scatterers.

The T-matrix method is one of the most powerful and widely used theoretical techniques for the computation electromagnetic scattering by single and composite particles, discrete random media, and particles in of an interface separating two half-spaces with different refractive indices.

Nov 27, 2024 · The transition-matrix (T-matrix) approach provides a general formalism to study scattering prob- lems in various areas of physics, including acoustics (scalar elds) and electromagnetics (vector elds), and is related to the theory of the scattering matrix (S-matrix) used in quantum mechanics

Apr 4, 2022 · Since its inception in the mid-1960s, the T-matrix method has been one of the most versatile and efficient numerically exact computer solvers of the time-harmonic macroscopic Maxwell equations.

Sep 1, 2012 · The T-matrix method is one of the most versatile and efficient theoretical techniques widely used for the computation of electromagnetic scattering by single and composite particles, discrete random media, and particles in the vicinity of an interface separating two half-spaces with different refractive indices.

Sep 27, 2023 · The T-matrix method is one of the most powerful and widely used theoretical techniques for the computation of electromagnetic scattering by single and composite particles, discrete random media, and particles in the vicinity of an interface separating two half-spaces with different refractive indices. This paper presents a comprehensive ...