Search results for "Rectangular function"

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Efficient and accurate computation of Green's function for the Poisson equation in rectangular waveguides

2009

[1] In this paper, a new algorithm for the fast and precise computation of Green's function for the 2-D Poisson equation in rectangular waveguides is presented. For this purpose, Green's function is written in terms of Jacobian elliptic functions involving complex arguments. A new algorithm for the fast and accurate evaluation of such Green's function is detailed. The main benefit of this algorithm is successfully shown within the frame of the Boundary Integral Resonant Mode Expansion method, where a substantial reduction of the computational effort related to the evaluation of the cited Green's function is obtained.

Laplace's equationMathematical analysisGreen's identitiesCondensed Matter PhysicsIntegral equationGreen's function for the three-variable Laplace equationsymbols.namesakeScreened Poisson equationGreen's functionsymbolsGeneral Earth and Planetary SciencesElectrical and Electronic EngineeringPoisson's equationGeneralLiterature_REFERENCE(e.g.dictionariesencyclopediasglossaries)Rectangular functionMathematicsRadio Science
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Influence of spatial delay on the modulational instability in a composite system with a controllable nonlinearity.

2017

A theoretical investigation of the modulational instability (MI) in a composite system with a nonlocal response function is presented. A composite system of silver nanoparticles in acetone is chosen, whose nonlinearity can be delicately varied by controlling the volume fraction of the constituents, thus enabling the possibility of nonlinearity management. A pump-probe counterpropagation configuration has been assumed, and the interplay between the competing nonlinearities and the nonlocalities in the MI dynamics is systematically explored. A different class of nonlocalities have been considered, and the study reveals that the nonlocality critically depends on the kind of nonlocal function. …

CouplingPhysicsComposite numberRelative strengthFunction (mathematics)01 natural sciences010309 opticsNonlinear systemModulational instabilityQuantum nonlocality0103 physical sciencesStatistical physics010306 general physicsNonlinear Sciences::Pattern Formation and SolitonsRectangular functionPhysical review. E
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