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The transfer-matrix method is a method used in optics and acoustics to analyze the propagation of electromagnetic or acoustic waves through a stratified medium; a stack of thin films. [1][2] This is, for example, relevant for the design of anti-reflective coatings and dielectric mirrors. The reflection of light from a single interface between ...
Transfer-matrix method. In statistical mechanics, the transfer-matrix method is a mathematical technique which is used to write the partition function into a simpler form. It was introduced in 1941 by Hans Kramers and Gregory Wannier. [ 1][ 2] In many one dimensional lattice models, the partition function is first written as an n -fold ...
Transfer matrix. In applied mathematics, the transfer matrix is a formulation in terms of a block-Toeplitz matrix of the two-scale equation, which characterizes refinable functions. Refinable functions play an important role in wavelet theory and finite element theory. For the mask , which is a vector with component indexes from to , the ...
Lay-up process. (Redirected from Lay-Up process) A Lay-Up process is a moulding process for composite materials, in which the final product is obtained by overlapping a specific number of different layers, usually made of continuous polymeric or ceramic fibres and a thermoset polymeric liquid matrix. It can be divided into Dry Lay-up and Wet ...
Beam splitters. A beam splitter or beamsplitter is an optical device that splits a beam of light into a transmitted and a reflected beam. It is a crucial part of many optical experimental and measurement systems, such as interferometers, also finding widespread application in fibre optic telecommunications.
Matrix product state. Penrose graphical notation (tensor diagram notation) of a matrix product state of five particles. In quantum mechanics, a matrix product state (MPS) is a quantum state of many particles (in N sites), written in the following form: where are complex, square matrices of order (this dimension is called local dimension).
A corner transfer matrix A 2 m (defined for an m×m quadrant) may be expressed in terms of smaller corner transfer matrices A 2 m-1 and A 2 m-2 (defined for reduced (m-1)×(m-1) and (m-2)×(m-2) quadrants respectively). This recursion relation allows, in principle, the iterative calculation of the corner transfer matrix for any lattice quadrant ...
Anderson localization. In condensed matter physics, Anderson localization (also known as strong localization) [1] is the absence of diffusion of waves in a disordered medium. This phenomenon is named after the American physicist P. W. Anderson, who was the first to suggest that electron localization is possible in a lattice potential, provided ...