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Relativistic ponderomotive Hamiltonian of two interacting electromagnetic waves

1985; American Institute of Physics; Volume: 31; Issue: 2 Linguagem: Inglês

10.1103/physreva.31.914

0556-2791

Celso Grebogi,

Quantum chaos and dynamical systems

An expression for the ponderomotive Hamiltonian for a relativistic particle gyrating in a quasistatic magnetic field and in the presence of two interacting electromagnetic waves is derived. The frequencies of the waves are of the order of the gyrofrequency meaning that an average is performed over the gyration and the rapid oscillations of the waves leading to the ponderomotive Hamiltonian which contains only quasistatic and slow oscillatory terms. The derivation is systematic and allows for arbitrary k\ensuremath{\rho}, v/c, ${E}_{\mathrm{para}}$/${E}_{\ensuremath{\perp}}$, polarizations, and for slowly growing and spatially modulated waves. Nonuniformities in the background magnetic and electric fields are also included.