Ray transfer matrix analysis (also known as ABCD matrix analysis) is a mathematical form for performing ray tracing calculations in sufficiently simple...

In applied mathematics, the transfer matrix is a formulation in terms of a block-Toeplitz matrix of the two-scale equation, which characterizes refinable...

Transfer-matrix method may refer to: Transfer-matrix method (statistical mechanics), a mathematical technique used to write the partition function into...

The transfer-matrix method is a method used in optics and acoustics to analyze the propagation of electromagnetic or acoustic waves through a stratified...

various branches of engineering, a transfer function matrix, or just transfer matrix is a generalisation of the transfer functions of single-input single-output...

In mathematics, a matrix (pl.: matrices) is a rectangular array of numbers or other mathematical objects with elements or entries arranged in rows and...

In statistical mechanics, the corner transfer matrix describes the effect of adding a quadrant to a lattice. Introduced by Rodney Baxter in 1968 as an...

In physics, the S-matrix or scattering matrix is a matrix that relates the initial state and the final state of a physical system undergoing a scattering...

transfer matrix can be obtained for any linear system to analyze its dynamics and other properties; each element of a transfer matrix is a transfer function...

In statistical mechanics, the transfer-matrix method is a mathematical technique which is used to write the partition function into a simpler form. It...

Like the Hamiltonian, the transfer matrix acts on all linear combinations of states. The partition function is a matrix function of T, which is defined...

the most effective algorithms belong to the transfer-matrix paradigm. They may be called transfer matrix algorithms (TMAs) for short. Andrew Conway first...

requires the transfer matrix formalism, though the result is the same. (Click "show" at right to see the details of the transfer matrix formalism.) The...

parabolic reflector. The ray matrix of a concave spherical mirror is shown here. The C {\displaystyle C} element of the matrix is − 1 f {\displaystyle -{\frac...

where the 2×2 element τ {\displaystyle \tau } is the beam-splitter transfer matrix and r and t are the reflectance and transmittance along a particular...

then computed the transfer matrix of the "Ising ladder", meaning two 1D Ising models side-by-side, connected by links. The transfer matrix is then 4 × 4....

description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exists a very simple approach relating the model...

{\displaystyle S_{1}} is the transfer matrix between the original beam position and the quadrupole(s), Q {\displaystyle Q} is the transfer matrix of the quadrupole(s)...

electromagnetics, the scattering-matrix method (SMM) is a numerical method used to solve Maxwell's equations, related to the transfer-matrix method. SMM can, for...

three other families come from a transfer matrix T ( λ ) {\displaystyle T(\lambda )} (in turn defined using a Lax matrix), which acts on H {\displaystyle...

function. Bernoulli scheme Shift of finite type Krein–Rutman theorem Transfer-matrix method Gaspard, Pierre (1992). "r-adic one dimensional maps and the...

a matrix are sometimes called a transfer matrix. Transport coefficient This disambiguation page lists articles associated with the title Transfer coefficient...

B ⊤ P {\displaystyle K=R^{-1}B^{\top }P} and the closed loop state transfer matrix is A − B K = A − B R − 1 B ⊤ P {\displaystyle A-BK=A-BR^{-1}B^{\top...

combined with the paraxial approximation in techniques such as ray transfer matrix analysis. The focal length, f, of a lens in air is given by the lensmaker's...

The Matrix is an American cyberpunk media franchise consisting of four feature films, beginning with The Matrix (1999) and continuing with three sequels...

approximation is used in Gaussian optics and first-order ray tracing. Ray transfer matrix analysis is one method that uses the approximation. In some cases,...

Matrix molding or matrix transfer molding is a technique often used during molding. The person doing the assembly will first create the rigid outer shell...

Matrix. Matrix is taken before their commander, Arius, a former South American dictator whom Matrix removed from power. Arius blackmails Matrix into carrying...

(helix and coil), the Lifson–Roig model uses a 4x4 transfer matrix instead of the 2x2 transfer matrix of the Zimm–Bragg model, which considers only two...

imaginary unit. The complex beam parameter is usually used in ray transfer matrix analysis, which allows the calculation of the beam properties at any...