0000000000114781

AUTHOR

Janis Cepitis

showing 3 related works from this author

Numerical Simulation of the Problem Arising in the Gyrotron Theory

2006

Numerical aspects for solving of certain problem arising in gyrotron theory are discussed. Particularly, finite-difference schemes using quasistationarization and method of lines were applied and the relevant results analyzed.

Computer simulationlawGyrotronMethod of linesMathematical analysisApplied mathematicslaw.inventionMathematics
researchProduct

Analysis of equations arising in gyrotron theory

2012

The gyrotron is a microwave source whose operation is based on the stimulated cyclotron radiation of electrons oscillating in a static magnetic field. Powerful gyrotrons can be used to heat nuclear fusion plasma. In addition, they have found a wide utility in plasma diagnostics, plasma chemistry, radars, extra-high-resolution spectroscopy, high-temperature processing of materials, medicine, etc. However, the main application of gyrotrons is in electron cyclotron resonance heating in tokamaks and stellarators. Equations describing gyrotron operation are ordinary differential equations and Schrödinger type partial differential equations. The present paper provides a survey of the analytical a…

Physicsgyrotron theoryTokamakPartial differential equationApplied Mathematicslcsh:QA299.6-433lcsh:AnalysisElectronMagnetostaticsElectron cyclotron resonanceComputational physicslaw.inventionPhysics::Plasma PhysicslawGyrotronPlasma diagnosticsanalysis of Schrödinger type partial differential equationsnumerical methods for partial differential equationsAnalysisMicrowaveNonlinear Analysis: Modelling and Control
researchProduct

Numerical investigations of single mode gyrotron equation

2009

A stationary problem with the integral boundary condition arising in the mathematical modelling of a gyrotron is numerically investigated. The Chebyshev's polynomials of the second kind are used as the tool of calculations. The main result with physical meaning is the possibility to determine the maximal value of electrons efficiency. First published online: 14 Oct 2010

Chebyshev polynomialsMathematical analysisSingle-mode optical fiberElectronChebyshev filterfinite‐difference schemeslaw.inventionChebyshev's polynomials of the second kindlawModeling and SimulationGyrotronQA1-939Boundary value problemMathematicsAnalysismathematical modelling of gyrotronMathematicsMathematical Modelling and Analysis
researchProduct