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  2. Transfer matrix - Wikipedia

    en.wikipedia.org/wiki/Transfer_matrix

    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 ...

  3. Transfer-matrix method (optics) - Wikipedia

    en.wikipedia.org/wiki/Transfer-matrix_method...

    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 ...

  4. Transfer-matrix method - Wikipedia

    en.wikipedia.org/wiki/Transfer-matrix_method

    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 ...

  5. Corner transfer matrix - Wikipedia

    en.wikipedia.org/wiki/Corner_transfer_matrix

    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 ...

  6. Ising model - Wikipedia

    en.wikipedia.org/wiki/Ising_model

    The Ising model (or Lenz–Ising model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic "spins" that can be in one of two states (+1 or −1). The spins are arranged in a graph ...

  7. Beam splitter - Wikipedia

    en.wikipedia.org/wiki/Beam_splitter

    A diffractive beam splitter can generate either a 1-dimensional beam array (1xN) or a 2-dimensional beam matrix (MxN), depending on the diffractive pattern on the element. The diffractive beam splitter is used with monochromatic light such as a laser beam , and is designed for a specific wavelength and angle of separation between output beams.