Related Experiment Video
Updated: May 18, 2026

08:19
Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
Published on: May 9, 2021
Coupled beam hose and self-modulation instabilities in overdense plasma.
C B Schroeder1, C Benedetti, E Esarey
1Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
Transverse stability in plasma wakefield accelerators is crucial. This study reveals that beam hosing instabilities are comparable to self-modulation, significantly altering plasma wakefield structures.
Area of Science:
- Plasma physics
- Particle accelerators
- Beam dynamics
Background:
- Transverse stability of relativistic particle beams is essential for plasma wakefield accelerators.
- Beams in overdense plasmas can experience envelope modulation and centroid displacement (hosing) instabilities.
Purpose of the Study:
- To analyze the transverse stability of a drive beam in plasma wakefield accelerators.
- To investigate the interplay between self-modulation and hosing instabilities.
- To understand the impact of hosing on plasma wakefield structures.
Main Methods:
- Derivation of coupled equations for beam centroid and envelope.
- Solving these coupled equations to determine instability growth rates.
- Analyzing the effects of instability coupling on beam dynamics.
Main Results:
- Hosing instability growth rates are found to be comparable to self-modulation growth rates.
- Coupling between self-modulation and hosing enhances beam hosing.
- Self-modulation induces harmonic content in the beam.
- Significant hosing alters plasma wakefield structures.
Conclusions:
- Beam hosing is a significant instability in plasma wakefield accelerators.
- The coupling of instabilities can lead to complex beam dynamics.
- Understanding these instabilities is key to controlling plasma wakefields for acceleration.
Related Concept Videos
Forced Oscillations
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
Damped Oscillations
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Although friction and other non-conservative...
Steady, Laminar Flow Between Parallel Plates
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
Pole and System Stability
The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's response.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's response.
Oscillations In An LC Circuit
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
Induced Electric Dipoles
A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...

