In physics, the optical theorem is a general law of wave scattering theory, which relates the zero-angle scattering amplitude to the total cross section...

overlooked. Unitarity of the S-matrix implies, among other things, the optical theorem. This can be seen as follows: The S-matrix can be written as: S = 1...

The analogue of this identity in three dimensions is known as the optical theorem. A straightforward way to define the S-matrix begins with considering...

The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate...

length optical pattern recognition optical phenomenon optical processor optical resonator optical sine theorem optical spectrum optical theorem optical tweezers...

(physics) Earnshaw's theorem (electrostatics) Maximum power theorem (electrical circuits) Norton's theorem (electrical networks) Optical theorem (physics) Poynting's...

In optics, the optical sine theorem states that the products of the index, height, and sine of the slope angle of a ray in object space and its corresponding...

{n} ,\mathbf {n} '')f^{*}(\mathbf {n} ,\mathbf {n} '')\,d\Omega ''} Optical theorem follows from here by setting n = n ′ . {\displaystyle \mathbf {n} =\mathbf...

the function is the scattering amplitude. Through the use of the optical theorem the imaginary part of the scattering amplitude is then related to the...

case of TPA) may be understood using the optical theorem. This theorem relates the imaginary part of an all-optical process of a given perturbation order...

The optical equivalence theorem in quantum optics asserts an equivalence between the expectation value of an operator in Hilbert space and the expectation...

System Planning Corporation Target strength "Radar Cross Section, Optical Theorem, Physical Optics Approx, Radiation by Line Sources" on YouTube Knott...

The formula is further related to the particle's decay rate by the optical theorem. A column of soldiers marching in regular step on a narrow and structurally...

Copenhagen interpretation Isospin Matrix mechanics Exchange interaction Optical theorem Quantum field theory Quantum fluctuation Quantum spacetime Proton–neutron...

Optical flow or optic flow is the pattern of apparent motion of objects, surfaces, and edges in a visual scene caused by the relative motion between an...

[M'A'B'C'P'] have the same optical path; then the set of all P, P' with equal optical path forms a curved surface p. Theorem—The surface p is orthogonal...

Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with...

Kerker condition (or near-zero forward intensity condition). From the optical theorem, it is shown that for a passive particle ( a 1 = − b 1 ) {\displaystyle...

long-time serious illness. Placzek transient Landau–Placzek ratio Optical theorem Depolarization ratio Wikimedia Commons has media related to Georg Placzek...

Chetaev. Chetaev instability theorem has been used to analyze the unfolding dynamics of proteins under the effect of optical tweezers. Lyapunov function...

blood transfusion he received during surgery. Nuclear thermal rocket Optical theorem Project Rover Shock waves in astrophysics Stevens, William K. (1989-10-07)...

the distance from the scatterer to the observation point. Per the optical theorem, absorption cross section is given as: C a b s = 2 k V I m ( n ) {\displaystyle...

used in autocorrelation measurements, as well as higher-order nonlinear optical processes such as third-harmonic generation, in which case the mathematical...

The fluctuation theorem (FT), which originated from statistical mechanics, deals with the relative probability that the entropy of a system which is currently...

a signal to satisfy the Nyquist–Shannon sampling theorem over the band of interest. Since the theorem states that unambiguous reconstruction of the signal...

{\textstyle \sigma _{\text{abs}}>0} ), we have a particular case of the Optical theorem 1 4 π ε ε 0 ℑ ( α e ) + 1 4 π μ μ 0 ℑ ( α m ) ≥ 2 k 3 3 [ | α e | 2...

The optical transfer function (OTF) of an optical system such as a camera, microscope, human eye, or projector is a scale-dependent description of their...

In physics, the no-cloning theorem states that it is impossible to create an independent and identical copy of an arbitrary unknown quantum state, a statement...

consequence of the conservation of etendue is the brightness theorem, which states that no linear optical system can increase the brightness of the light emitted...

rules are usually obtained by combining a dispersion relation with the optical theorem, using the operator product expansion or current algebra. Quantum field...