scattering operator

scattering operator

[′skad·ər·iŋ ‚äp·ə‚rād·ər]
(physics)
An operator which acts in the vector space of solutions of a wave equation, transforming solutions representing incoming waves in a domain exterior to a bounded obstacle into solutions representing outgoing waves.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
where L represents the spatially continuous transport operator and S denotes the scattering operator. [psi] and Q are the spatially continuous angular fluxes and fixed source, respectively.
Noting the linearity of the transport operator L and the scattering operator S, we obtain
To circumvent this problem, we use the feature that the scattering operator characterizes the complete electromagnetic response of the region inside a closed observation contour.
This leads them to a definition of the time-dependent scattering operator that encodes the far-field behavior (with respect to a stationary observer) in the asymptotic regions of the black hole: the event and cosmological horizons.
Thus scattering operator is defined from [A.sub.J]X(x) = X(x) * [[PHI].sub.J](x) and U[[lambda]]X(x) = [absolute value of X * [[psi].sub.[lambda]](x)] [12].
where n is the number of the iteration, [??] the real domain scattering operator, and [??] the modal domain scattering operator.
For example, the high-order field point sampling scheme [7] and tangential EPA (TEPA) [10] have been proposed to improve the accuracy of scattering operator. The efficiency of scattering operator has been improved by hierarchical LU decomposition method [11].
Strauss [1] obtained the scattering operator in the presence of a moving object.
Firstly, each brick is described through a scattering operator of equivalent surface current densities defined over a brick's surface.
where A, B [member of] X [right arrow] X are bounded and nonlinear operators, which are derived from the semidiscretised transport and scattering operators. X [member of] [R.sup.n] is a Banach space and [parallel]x[parallel] is the corresponding norm in X.
where the exponents W and F stand for WCIP and FDTLM, the operator S contains the transmission/reflection conditions on ([summation]), and [([S.sup.W.sub.i]).sub.i=uv,down] are the scattering operators for homogeneous media in domain i.
Prosvirnin, "Spectral scattering operators in problems of wave diffraction on flat screens," Nauk.