Abstract
Electrostatic modes present in laser produced plasma are capable of generating strong harmonic radiation. Electrostatic waves provide phase matching and contribute to non-linear coupling. In this paper, lower hybrid waves assist in k-matching to produce the third harmonic of the laser. As the frequency of the lower hybrid wave is very small, the harmonic produced is close to exact. At normalized parameters (amplitude, density, and plasma length), the normalized amplitude of the third harmonic is quite high at a particular value of ω0/ωp and ωc/ωp. This occurs in the proximity of upper hybrid resonance as the process becomes resonant for this value. The magnitude of the normalized amplitude increases as ω02 is close to ωUH2.
Highlights
The interaction of intense laser pulses with under dense plasmas finds extensive importance in a number of areas including inertial confinement fusion,1 electron and proton acceleration,2–4 x-ray laser,5 and harmonic generation.6–10 In laser produced plasmas, the response of matter is dominated by the motion of the electrons
We study lower hybrid wave assisted third harmonic generation in a self-generated magnetic field
It is due to increased density, plasma length, and strong resonant term
Summary
The interaction of intense laser pulses with under dense plasmas finds extensive importance in a number of areas including inertial confinement fusion, electron and proton acceleration, x-ray laser, and harmonic generation. In laser produced plasmas, the response of matter is dominated by the motion of the electrons. Laser produced plasmas provide several ways of frequency conversion of harmonics of the fundamental. Laser produced plasmas have shown the presence of strong self-generated magnetic fields.. The physics of the process is as follows: a highly intense pump beam (X-mode) of frequency ω0 and wavenumber ⃗k0 propagates through the plasma. The oscillatory velocity of the electrons at (2ω0, 2⃗k0) combines with density oscillation of lower hybrid wave that gives rise to lower hybrid wave (LHW) frequency shifted (2ω0 + ω, 2⃗k0 + ⃗k) density oscillations These density oscillations combine with primary velocity ⃗vω0,⃗k0 of the electrons, producing non-linear current density shifted in LHW frequency, resulting in generation of resonant third harmonic of the laser, shifted in LHW frequency.
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