Discrete wavelets analysis of the magnetic vector field

2005 ◽  
Vol 21 (2) ◽  
pp. 119-129
Author(s):  
Sawa Matsuyama
2020 ◽  
Vol 17 (09) ◽  
pp. 2050141 ◽  
Author(s):  
Jianguo Sun

We reconstruct the Cartan Equations of null Killing magnetic curve [Formula: see text] in [Formula: see text] with Killing magnetic vector field [Formula: see text] under the new Cartan frame [Formula: see text], which describe some new geometrical properties of [Formula: see text]. The singularity properties of the rectifying surfaces and the binormal osculating surfaces of null Killing magnetic curves are given. As an application, two examples are given to explain the main results, where the singular loci of null Killing magnetic curves are obtained.


2019 ◽  
Vol 16 (08) ◽  
pp. 1950123 ◽  
Author(s):  
Jianguo Sun

We define the coordinate equations of killing magnetic curves [Formula: see text] in [Formula: see text] with the magnetic vector field [Formula: see text] under the frame [Formula: see text]. In particular, this yields to describe the geometrical properties and singularities of the magnetic curves and the magnetic normal binormal surfaces. Meanwhile, we establish the relationships between singularity types of the magnetic normal binormal surfaces and geometrical invariants of the magnetic curves. As an application, we give an example to explain the main results in this paper, where we give the classification of singularity types of the magnetic curves.


Author(s):  
Robert L. Olmon ◽  
Xiaoji G. Xu ◽  
Kseniya S. Deryckx ◽  
Brian A. Lail ◽  
Markus B. Raschke

2011 ◽  
Vol 98 (7) ◽  
pp. 074101 ◽  
Author(s):  
M. Koschorreck ◽  
M. Napolitano ◽  
B. Dubost ◽  
M. W. Mitchell

1971 ◽  
Vol 43 ◽  
pp. 190-191
Author(s):  
F.-L. Deubner ◽  
R. Göhring

Photoelectric polarization measurements in a stable sunspot (type H) with a particularly dark umbra, where ‘umbral dots’ were virtually lacking, have been carried out with the Capri magnetograph. The measurements were evaluated in terms of Unno's theory to give the value and direction of the magnetic field vector. The parameters η0 = 5, β0 = 2.5 and ΔλD = 40mÅ have been adopted for the Fe I 5250 line. Taking the configuration of the sunspot into account as well as simple conditions of steadiness of the distributions to be obtained, it is possible to derive the magnetic vector field from two-dimensional records of circular and linear polarization without ambiguities.


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