Guiding Center Hamiltonian Theory of Free-Electron Lasers
NAVAL SURFACE WEAPONS CENTER WHITE OAK LAB SILVER SPRING MD
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The relativistic guiding center ponderomotive Hamiltonian for free electron lasers is derived. The derivation takes into account arbitrary signal wave polarization and wiggler field geometry including guide field nonuniformities. In particular, it is allowed i for a tapered axial guide quasi static magnetic field along its direction of propagation, ii for a realizable wiggler to be tapered both in amplitude and in period, and iii for the signal electromagnetic wave to be a growing modulated wave of arbitrary geometry propagating in the direction of the static magnetic field. The equations of motion are then derived including the guiding center perpendicular drifts and beam quasi static self-fields.
- Lasers and Masers
- Quantum Theory and Relativity