Finite-difference methods in problems modeling volume free electron lasers
type: Item
instance of: scholarly article
title: Finite-difference methods in problems modeling volume free electron lasers
zbMATH Open document ID: 1007.78012
DOI: 10.1023/A:1011974124841
author: S. N. Sytova
published in: Differential Equations
publication date: 2003-04-02T00:00:00Z
review text: 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.
reviewed by: Zbigniew Dżygadło
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1758778
zbMATH Keywords: finite-difference methods
zbMATH Keywords: X-ray range
zbMATH Keywords: volume free electron lasers
zbMATH Keywords: quasi-Cherenkov radiation
zbMATH Keywords: optical range
zbMATH Keywords: submillimeter range
MaRDI profile type: Publication
full work available at URL: a:1011974124841
OpenAlex ID: W6319341
description: scientific article; zbMATH DE number 1758778