Non-linear interaction between three ordinary electromagnetic waves

1971 ◽  
Vol 5 (3) ◽  
pp. 413-425 ◽  
Author(s):  
L. Stenflo
Keyword(s):  
Magnetic Field ◽  
General Formula ◽  
Constant Magnetic Field ◽  
Electromagnetic Waves ◽  
Electron Plasma ◽  
Static Field ◽  
Coupling Coefficients ◽  
Linear Interaction ◽  
Non Linear ◽  
Spatially Homogeneous

This paper considers the non-linear interaction between three resonant, modified ordinary electromagnetic waves, which propagate perpendicular to a constant magnetic field in a spatially homogeneous electron plasma. The coupling coefficients are calculated and discussed. Finally, a general formula, describing the interaction between three waves propagating at arbitrary angles to the static field, is derived.

scholarly journals Флуктуационно-диссипативная теорема и частотные моменты функций реакции плотной плазмы на электромагнитное поле

2022 ◽  
Vol 92 (2) ◽  
pp. 225
Author(s):  
Г.А. Павлов
Keyword(s):  
Magnetic Field ◽  
Constant Magnetic Field ◽  
Electromagnetic Waves ◽  
Dense Plasma ◽  
Coulomb Systems ◽  
Quadratic Functions ◽  
Nonlinear Phenomena ◽  
Reaction Functions ◽  
Frequency Moments ◽  
Quadratic Interaction

The fluctuation-dissipative theorem and frequency moments for quadratic functions of the reaction of a dense plasma in a constant magnetic field to an electromagnetic field are considered. The frequency moments of the corresponding correlation functions are studied. A model approach is proposed to calculate quadratic reaction functions that determine nonlinear phenomena caused by the quadratic interaction of electromagnetic waves in a dense charged medium (Coulomb systems, plasma) in a constant magnetic field. Keywords: dense plasma, nonlinear fluctuation-dissipative theorem, quadratic reaction functions, nonlinear phenomena.

Nonlinear interaction between three ordinary electromagnetic modes

1977 ◽  
Vol 17 (1) ◽  
pp. 51-55
Author(s):  
P. Muñoz ◽  
S. Dagach
Keyword(s):  
Magnetic Field ◽  
Normal Mode ◽  
Drift Velocity ◽  
Coupling Coefficient ◽  
Constant Magnetic Field ◽  
Nonlinear Interaction ◽  
Electromagnetic Waves ◽  
Resonant Interaction ◽  
Lagrangian Method

In this paper we consider the resonant interaction between three modified ordinary electromagnetic waves, which propagate perpendicular to a constant magnetic field. We show that for the modified mode to be a normal mode we must have the unperturbed current equal to zero. Using the averaged Lagrangian method, we calculate the coupling coefficient for the resonant interaction between three of these modes. It is proportional only to the cube of the drift velocity, as expected from the vanishing of the unperturbed current.

scholarly journals Non-linear interaction of laser light with vacuum: contributions to the energy density and pressure in presence of an intense magnetic field

2022 ◽  
Author(s):  
M Angeles Perez-Garcia ◽  
Aurora Perez Martinez ◽  
Elisabeth Rodriguez Querts
Keyword(s):  
Magnetic Field ◽  
Energy Density ◽  
Quantum Electrodynamics ◽  
Linear Interaction ◽  
Intense Magnetic Field ◽  
Electric And Magnetic Fields ◽  
Non Linear ◽  
Underdense Plasmas ◽  
Linear Behaviour ◽  
Weak Fields

Abstract Recent simulations show that very large electric and magnetic fields near the kilo Tesla strength will likely be generated by ultra-intense lasers at existing facilities over distances of hundreds of microns in underdense plasmas. Stronger ones are even expected in the future although some technical dificulties must be overcome. In addition, it has been shown that vacuum exhibits a peculiar non-linear behaviour in presence of high magnetic and electric field strengths. In this work we are interested in the analysis of thermodynamical contributions of vacuum to the energy density and pressure when radiation interacts with it in the presence of an external magnetic field. Using the Euler-Heisenberg formalism in the regime of weak fields i.e. smaller than critical Quantum Electrodynamics field strength values, we evaluate these magnitudes and analyze the highly anisotropic behaviour we find. Our work has implications for photon-photon scattering with lasers and astrophysically magnetized underdense systems far outside their surface where matter effects are increasingly negligible.

Non-linear coupling of waves in a magnetized plasma with particle drift motions

1969 ◽  
Vol 3 (2) ◽  
pp. 215-226 ◽  
Author(s):  
H. wilhelmsson
Keyword(s):  
Magnetic Field ◽  
Relativistic Effects ◽  
Wave Interaction ◽  
Magnetized Plasma ◽  
Transverse Waves ◽  
Linear Interaction ◽  
Longitudinal Waves ◽  
Coupled Mode ◽  
Non Linear ◽  
Method Of Solution

We study non-linear interaction between three monochromatic waves which propagate parallel to the direction of a magnetic field in a plasma. The approach to the problem is hydromagnetic, including temperature effects, and the method of solution is that of coupled mode theory. In particular drift motions of the particles along the magnetic field are considered taking into account relativistic effects. The interaction of two transverse waves and one longitudinal wave is treated as well as that of three longitudinal waves. Besides, the case of two longitudinal waves and one perpendicular wave has been studied in some detail assuming the latter to have a long wavelength.The present paper represents a generalization of the problem of three-wave interaction in a plasma to situations more complex than have been treated before. The most essential limitation consists in the assumptions made for the directions of propagation of the waves.

scholarly journals Archimedean screw in driven chiral magnets

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Nina del Ser ◽  
Lukas Heinen ◽  
Achim Rosch
Keyword(s):  
Magnetic Field ◽  
Spin Wave ◽  
Wave Theory ◽  
Goldstone Mode ◽  
Linear Effect ◽  
Spin Wave Theory ◽  
Non Linear Effect ◽  
Propagation Vector ◽  
Non Linear ◽  
Spatially Homogeneous

In chiral magnets a magnetic helix forms where the magnetization winds around a propagation vector {q}q. We show theoretically that a magnetic field B_\bot(t) \bot qB⊥(t)⊥q, which is spatially homogeneous but oscillating in time, induces a net rotation of the texture around {q}q. This rotation is reminiscent of the motion of an Archimedean screw and is equivalent to a translation with velocity v_{\text{screw}}vscrew parallel to q. Due to the coupling to a Goldstone mode, this non-linear effect arises for arbitrarily weak B_\bot(t)B⊥(t) with v_{\text{screw}} \propto |{ B_\perp}|^2vscrew∝|B⊥|2 as long as pinning by disorder is absent. The effect is resonantly enhanced when internal modes of the helix are excited and the sign of v_{\text{screw}}vscrew can be controlled either by changing the frequency or the polarization of B_\bot(t)B⊥(t). The Archimedean screw can be used to transport spin and charge and thus the screwing motion is predicted to induce a voltage parallel to q. Using a combination of numerics and Floquet spin wave theory, we show that the helix becomes unstable upon increasing B_\botB⊥, forming a `time quasicrystal’ which oscillates in space and time for moderately strong drive.

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