Magnetohydrodynamics equilibrium of a self‐confined elliptical plasma ball

1991 ◽  
Vol 3 (8) ◽  
pp. 2113-2116 ◽  
Author(s):  
Han‐ming Wu ◽  
M. E. Oakes
Keyword(s):  
Elliptical Plasma

scholarly journals Two families of elliptical plasma lenses

2019 ◽  
Vol 488 (4) ◽  
pp. 5651-5664 ◽  
Author(s):  
Xinzhong Er ◽  
Adam Rogers
Keyword(s):  
Parameter Space ◽  
Gravitational Lensing ◽  
Low Frequency ◽  
Wavelength Dependence ◽  
Free Electrons ◽  
Density Distributions ◽  
Critical Curves ◽  
Numerical Studies ◽  
Plasma Distribution ◽  
Elliptical Plasma

ABSTRACT Plasma lensing is the refraction of low-frequency electromagnetic rays due to free electrons in the interstellar medium. Although the phenomenon has a distinct similarity to gravitational lensing, particularly in its mathematical description, plasma lensing introduces other additional features, such as wavelength dependence, radial rather than tangential image distortions, and strong demagnification of background sources. Axisymmetrical models of plasma lenses have been well studied in the literature, but density distributions with more complicated shapes can provide new and exotic image configurations and increase the richness of the magnification properties. As a first step towards non-axisymmetrical distributions, we study two families of elliptical plasma lens, softened power law, and exponential plasma distributions. We perform numerical studies on each lens model, and present them over a parameter space. In addition to deriving elliptical plasma lens formulae, we also investigate the number of critical curves that the lens can produce by studying the lens parameter space, in particular the dependence on the lensing ellipticity. We find that the introduction of ellipticity into the plasma distribution can enhance the lensing effects as well as the complexity of the magnification map.

Equilibrium Vacuum Magnetic Field of an Axisymmetric Torus with an Elliptical Plasma Cross-Section

1973 ◽  
Vol 34 (6) ◽  
pp. 1641-1644 ◽  
Author(s):  
Masatoshi Tanaka ◽  
Takasi Tuda ◽  
Masafumi Azumi
Keyword(s):  
Magnetic Field ◽  
Cross Section ◽  
Elliptical Plasma
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