zbMATH — the first resource for mathematics

Modeling and numerical simulation of space charge dominated beams in the paraxial approximation. (English) Zbl 1109.78013
The authors consider charged particle beams governed by the Vlasov-Maxwell equations. In order to numerically simulate the beam they use the paraxial approximation, obtain certain approximate solutions, and present some numerical examples.

78A60 Lasers, masers, optical bistability, nonlinear optics
78M25 Numerical methods in optics (MSC2010)
82D10 Statistical mechanical studies of plasmas
Full Text: DOI
[1] DOI: 10.1142/p250 · doi:10.1142/p250
[2] DOI: 10.1142/S0218202593000278 · Zbl 0787.35110 · doi:10.1142/S0218202593000278
[3] Federer H., Geometric Measure Theory (1969) · Zbl 0176.00801
[4] DOI: 10.1006/jcph.2001.6818 · Zbl 0998.65138 · doi:10.1006/jcph.2001.6818
[5] Filbet F., Lecture Notes in Comput. Sci. 2331 pp 305– (2002) · doi:10.1007/3-540-47789-6_32
[6] DOI: 10.1016/S0010-4655(02)00694-X · Zbl 1196.82108 · doi:10.1016/S0010-4655(02)00694-X
[7] DOI: 10.1109/TNS.1971.4326292 · doi:10.1109/TNS.1971.4326292
[8] Laval G., Numer. Math. 1 pp 33–
[9] DOI: 10.1142/S0218202594000121 · Zbl 0803.35148 · doi:10.1142/S0218202594000121
[10] Poupaud F., Comm. Partial Diff. Eqs. 22 pp 337–
[11] DOI: 10.1002/9783527617623 · doi:10.1002/9783527617623
[12] DOI: 10.1109/TNS.1971.4326293 · doi:10.1109/TNS.1971.4326293
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.