Augsburg 2006 – wissenschaftliches Programm

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P: Plasmaphysik

P 28: Astrophysikalische Plasmen; Dichte Plasmen 1; Schwerionen- und lasererzeugte Plasmen 2; Staubige Plasmen 4; Theorie 1

P 28.30: Poster

Mittwoch, 29. März 2006, 17:30–19:00, Flure

Optimization of electron trajectories in a cold-cavity gyrotron resonator — •Rita Meyer-Spasche¹, Markus Goetz¹, and Christoph Bueskens² — ¹MPI für Plasmaphysik, 85748 Garching — ²Zentrum für Technomathematik, U Bremen

A system of initial value problems is considered which describes electron trajectories in a cold-cavity gyrotron resonator. First a parameter-dependent simplified dynamical system is analysed. Then two different optimizations of the η_⊥-efficiency of the gyrotron are discussed: parameter optimization with given forcing term and deformation of the forcing term by optimal control.

Specific features of the problem are: the number of equations corresponds to the number of electrons in the beam - should be LARGE; bang-bang control is not possible because of the physics of the problem.