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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Differential Equatio...arrow_drop_down
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Differential Equations
Article . 2001 . Peer-reviewed
License: Springer Nature TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Finite-Difference Methods in Problems Modeling Volume Free Electron Lasers

Finite-difference methods in problems modeling volume free electron lasers
Authors: Sytova, S. N.;

Finite-Difference Methods in Problems Modeling Volume Free Electron Lasers

Abstract

Finite-difference methods for systems of differential equations occurring in models of volume free electron lasers (VFEL) are studied and developed. The concept of VFEL, based on the quasi-Cherenkov radiation, was suggested for the first time for the X-ray range and was then developed for other spectral ranges. The linear mode of VFEL was analyzed, but it does not allow to consider saturation modes. The nonlinear stage of the VFEL operation can be considered only by means of the finite-difference methods, since it is impossible to find the solutions of the systems of equations governing the nonlinear operation mode in a closed form. This kind of modeling was performed for the X-ray range and for the optical range. In the present paper, finite-difference methods are investigated for modeling VFEL in the submillimeter range.

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Keywords

X-ray range, quasi-Cherenkov radiation, submillimeter range, finite-difference methods, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Lasers, masers, optical bistability, nonlinear optics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, optical range, Finite difference methods applied to problems in optics and electromagnetic theory, volume free electron lasers

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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