SOLUTION OF THE PROBLEM OF THE MAGNETIC FIELD CONTINUATION FROM CYLINDRICAL SURFACE BY USING GREEN’S FUNCTION

2016 ◽  
Vol 2016 (5) ◽  
pp. 11-13 ◽  
Author(s):  
O.Ya. Konovalov ◽  
◽  
V.M. Mikhailov ◽  
M.P. Petrenko ◽  
◽  
...  
Keyword(s):  
Magnetic Field ◽  
Green’S Function ◽  
Green's Function ◽  
Cylindrical Surface ◽  
The Magnetic Field ◽  
Field Continuation

Guided modes between upper-hybrid and plasma resonance

1983 ◽  
Vol 30 (2) ◽  
pp. 267-274 ◽  
Author(s):  
G. J. Morales ◽  
J. E. Maggs
Keyword(s):  
Magnetic Field ◽  
Green’S Function ◽  
Density Gradient ◽  
Green's Function ◽  
Cold Plasma ◽  
Zero Order ◽  
Plasma Resonance ◽  
Guided Modes ◽  
Discrete Values ◽  
The Magnetic Field

The structure of driven electrostatic oscillations is determined for a cold plasma with a zero-order density gradient along the magnetic field. A set of well-behaved structures, bounded at plasma resonance, exists for discrete values of the perpendicular wavenumber. A Green's function suitable for sources located in the overdense region of the plasma is constructed. The driven medium responds as a loss free guide.

DIGITAL CONVOLUTION FOR COMPUTING GRAVITY AND MAGNETIC ANOMALIES DUE TO ARBITRARY BODIES

Geophysics ◽  
1975 ◽  
Vol 40 (6) ◽  
pp. 981-992 ◽  
Author(s):  
B. K. Bhattacharyya ◽  
M. E. Navolio
Keyword(s):  
Magnetic Field ◽  
Green’S Function ◽  
Green's Function ◽  
Magnetization Vector ◽  
Sampling Interval ◽  
Observation Point ◽  
Uniform Density ◽  
Gravity And Magnetic ◽  
Convolution Algorithm ◽  
Source Geometry

The magnetic and gravitational potentials and fields due to arbitrarily shaped bodies with homogeneous magnetization and uniform density distribution are expressed as a convolution of the source geometry and the Green’s function. The Green’s function depends on the location of the observation point and on either the magnetization vector (in the case of the magnetic field) or the density (in the case of the gravitational attraction). A fast digital convolution algorithm is used for efficiently and accurately calculating anomalies caused by irregular bodies. The shapes of the calculated anomalies faithfully reproduce the exact shapes when the sampling interval selected for digitizing the source geometry and the Green’s function is less than one‐tenth of the depth of the source. In the digital convolution method for computing anomalies, it is unnecessary, for any given structure, to perform analytical integration of the dipolar magnetic field or the gravitational field of a point mass. One of the examples given in the paper deals with the computation of the magnetic anomaly due to the irregularly shaped Round Butte Laccolith, Montana. The results are found to be in satisfactory agreement with the observed aeromagnetic data. A new method is also described for calculating the magnetization vector associated with the laccolith and the datum level of the magnetic observations.

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