Question

When the plasma size is much larger than the Debye length, electrons can oscillate around ions. Such oscillations are due to the restoring electric field that pulls the electrons back.

Derive the maximum restoring electric field Emax as a function of neutron density and neutron temperature.

Hint: nondimensionalize E in the Poisson’s equation with a reference value Eo (=Emax)

Answer 1

Electron beam generation: wave breaking and maximum accelerating field The interaction of high intensity laser pulse with an underdense plasma can efficiently create electron plasma waves. In principle, an electron bean provided by an external source can be injected into an electron plasma waves that can be further accelerated by these waves. However, in the self-modulated laser wave field regime, the plasma waves are excited to such an extent that they break and some electrons gets separated from the main wave and get accelerated This is caused self-trapping of electrons by wave breaking In the Sm-LWFA regime once the amplitude of plasma wave has exceeded a lining value, wave breaking takes place This wave breaking occur when the amplitude of electron oscillation becomes longer than the plasma wavelength some of the plasma electrons undergo such large oscillations that the returning force is no longer large enough to make than continue \r\n
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