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Lecture# Plasma Instabilities: Resonant Three Wave Interaction

Description

This lecture delves into the mechanism of resonant three wave coupling, focusing on Stimulated Raman Scattering (SRS) in a non-magnetized plasma. The instructor derives model equations for light waves and Electron Plasma Waves (EPWs), emphasizing the importance of matching conditions for effective coupling. Conditions for parametric instability and the number of solutions are discussed, along with the development of energy transfer among the waves. The lecture also covers the basic mechanism of parametric instabilities affecting laser light in plasma, such as SRS and Stimulated Brillouin Scattering (SBS), and their implications in inertial fusion. The presentation includes the system of three coupled oscillators and the derivation of slow time-scale equations for wave amplitudes. The lecture concludes with illustrations from simulations and further reading recommendations.

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Instructors (2)

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Related concepts (354)

PHYS-736: Plasma instabilities

To complete the theoretical knowledge acquired before the graduate studies.

Wave

In physics, mathematics, engineering, and related fields, a wave is a propagating dynamic disturbance (change from equilibrium) of one or more quantities. Waves can be periodic, in which case those quantities oscillate repeatedly about an equilibrium (resting) value at some frequency. When the entire waveform moves in one direction, it is said to be a traveling wave; by contrast, a pair of superimposed periodic waves traveling in opposite directions makes a standing wave.

Longitudinal wave

Longitudinal waves are waves in which the vibration of the medium is parallel to the direction the wave travels and displacement of the medium is in the same (or opposite) direction of the wave propagation. Mechanical longitudinal waves are also called compressional or compression waves, because they produce compression and rarefaction when traveling through a medium, and pressure waves, because they produce increases and decreases in pressure.

Transverse wave

In physics, a transverse wave is a wave whose oscillations are perpendicular to the direction of the wave's advance. This is in contrast to a longitudinal wave which travels in the direction of its oscillations. Water waves are an example of transverse wave. A simple example is given by the waves that can be created on a horizontal length of string by anchoring one end and moving the other end up and down. Another example is the waves that are created on the membrane of a drum.

Rogue wave

Rogue waves (also known as freak waves, monster waves, episodic waves, killer waves, extreme waves, and abnormal waves) are unusually large, unpredictable, and suddenly appearing surface waves that can be extremely dangerous to ships, even to large ones. They are distinct from tsunamis, which are often almost unnoticeable in deep waters and are caused by the displacement of water due to other phenomena (such as earthquakes). A rogue wave appearing at the shore is sometimes referred to as a sneaker wave.

Wave equation

The (two-way) wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields - as they occur in classical physics - such as mechanical waves (e.g. water waves, sound waves and seismic waves) or electromagnetic waves (including light waves). It arises in fields like acoustics, electromagnetism, and fluid dynamics. Single mechanical or electromagnetic waves propagating in a pre-defined direction can also be described with the first-order one-way wave equation, which is much easier to solve and also valid for inhomogeneous media.

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