Quantum Theory of Stokes Parameters for Thomson Scattering in a Magnetised Plasma

1991 ◽  
Vol 9 (2) ◽  
pp. 325-325
Author(s):  
Chih-Kang Chou ◽  
Hui-Hwa Chen
Keyword(s):  
Magnetic Field ◽  
Angular Distribution ◽  
Quantum Theory ◽  
Free Path ◽  
Strong Magnetic Field ◽  
Cross Section ◽  
Mean Free Path ◽  
Thomson Scattering ◽  
Stokes Parameters ◽  
Scattering Process

Extended abstractThomson scattering in pulsar magnetospheres has previously been studied by several authors. The most distinguishing feature is the fact that the super-strong magnetic field (B ~ 1012 G) greatly affects the Thomson scattering process, resulting in resonances in the scattering cross-section (Canuto et al. 1971; Herold 1979; Chou 1986; Daugherty and Harding 1986). The important consequences of these cyclotron resonances are the increase in the photon mean free path in the scattering regions, and strongly affecting the angular distribution, and polarisation properties of the scattered photons (Chou 1986; Chou et al. 1989).

scholarly journals Comptonisation of Radiation Below the Cyclotron Frequency in a Strong Magnetic Field

1986 ◽  
Vol 39 (6) ◽  
pp. 961
Author(s):  
DB Melrose ◽  
WEP Padden
Keyword(s):  
Magnetic Field ◽  
Diffusion Equation ◽  
Free Path ◽  
Cross Section ◽  
Cyclotron Frequency ◽  
Cataclysmic Variables ◽  
Mean Free Path ◽  
Thomson Scattering ◽  
X Ray ◽  
Kompaneets Equation

We present new equations describing the Thomson scattering of the o-mode and z-mode in a strongly magnetised plasma, valid below the fundamental cyclotron frequency. Scattering by nonrelativistic thermal electrons leads to a frequency diffusion equation for the more strongly scattered o-mode and this equation is effectively the Kompaneets equation with cross section 2/ 15th of the Thomson' cross section. Transfer of the photons tends to be dominated by the less strongly scattered z-mode; an o-mooe photon is scattered occasionally into a z-mode photon, which then diffuses rapidly due to its large mean free path before being scattered back into an o-mode photon. Our results should have applications in X-ray pulsars and 'Y-ray burst sources, as well as magnetic white dwarfs occurring in cataclysmic variables.

scholarly journals The diffusion and mobility of ions in a magnetic field

1912 ◽  
Vol 86 (590) ◽  
pp. 571-577 ◽  
Keyword(s):  
Magnetic Field ◽  
Free Path ◽  
Magnetic Force ◽  
Mean Free Path ◽  
Electric Force ◽  
Mobility Of Ions ◽  
The Mean ◽  
The Magnetic Field

1. When the motion of ions in a gas takes place in a magnetic field the rates of diffusion and the velocities due to an electric force may be determined by methods similar to those given in a previous paper. The effect of the magnetic field may be determined by considering the motion of each ion between collisions with molecules. The magnetic force causes the ions to be deflected in their free paths, and when no electric force is acting the paths are spirals, the axes being along the direction of the magnetic force. If H be the intensity of the magnetic field, e the charge, and m the mass of an ion, then the radius r of the spiral is mv /He, v being the velocity in the direction perpendicular to H. The distance that the ion travels in the interval between two collisions in a direction normal to the magnetic force is a chord of the circle of radius r . The average lengths of these chords may be reduced to any fraction of the projection of the mean free path in the direction of the magnetic force, so that the rate of diffusion of ions in the directions perpendicular to the magnetic force is less than the rate of diffusion in the direction of the force.

The conductivity of thin wires in a magnetic field

1950 ◽  
Vol 202 (1070) ◽  
pp. 378-394 ◽  
Keyword(s):  
Magnetic Field ◽  
Free Path ◽  
Bulk Material ◽  
Mean Free Path ◽  
Electron Theory ◽  
Conduction Electrons ◽  
Thin Wires ◽  
The Mean ◽  
The Magnetic Field ◽  
Theory And Experiment

A thin film or wire of metal has a lower electrical conductivity than the bulk material if the thickness is comparable with or smaller than the electronic mean free path. Previous workers have obtained expressions for the magnitude of the effect by integrating the Boltzmann equation and imposing the appropriate boundary conditions. The problem is re-examined from a kinetic theory standpoint, and it is shown that the same expressions are obtained by this method, usually rather more simply, while the physical picture is considerably clarified. The method is applied to an evaluation of the conductivity of a thin wire with a magnetic field along the axis, and it is found that the resistivity should decrease as the magnetic field is increased; it should be possible to derive the mean free path and velocity of the conduction electrons by comparison of theory and experiment. The theory has been confirmed by experimental measurements on sodium; estimates of electronic velocity and mean free path are obtained which are in fair agreement with the values given by the free-electron theory.

Thomson Scattering in a Strong Magnetic Field

1971 ◽  
Vol 3 (10) ◽  
pp. 2303-2308 ◽  
Author(s):  
V. Canuto ◽  
J. Lodenquai ◽  
M. Ruderman
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Thomson Scattering

scholarly journals Compton scatteringSmatrix and cross section in strong magnetic field

2016 ◽  
Vol 93 (10) ◽  
Author(s):  
Alexander A. Mushtukov ◽  
Dmitrij I. Nagirner ◽  
Juri Poutanen
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Cross Section
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