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The finite element method in problems of nonlinear optics
Author(s) -
Chesnokov S. S.,
Egorov K. D.,
Kandidov V. P.,
Vysloukh V. A.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620141102
Subject(s) - finite element method , computation , action (physics) , convergence (economics) , nonlinear system , element (criminal law) , mixed finite element method , computer science , mathematics , mathematical optimization , algorithm , physics , engineering , structural engineering , quantum mechanics , law , political science , economics , economic growth
The Possibility of the application of the finite element method to some problems of nonlinear optics is investigated in this paper. The self‐action of a light beam in a nonlinear medium is considered. The general approach to the cretion of conservative computation schemes is presented, based on varitional principles. Definite schemes, which are applicable for the problem of thermal self‐action, are described in detail both in the case of cylindrical and or rectangular co‐ordinates. The accuracy and convergence of the models are analysed. The results of computation of the self‐action problems in motionless and moving media are presented.