scholarly journals THE ANALYTICITY DOMAIN OF SPECTRAL DENSITY OF THE ELECTROMAGNETIC FIELD IN A VERTICALLY INHOMOGENEOUS CONDUCTIVE MEDIUM

2020 ◽  
pp. 37-48
Author(s):  
S. A. Terentyev ◽  
A. K. Guts
Keyword(s):  
Electromagnetic Field ◽  
Spectral Density ◽  
Magnetic Dipole ◽  
Complex Variable ◽  
Layered Medium ◽  
Integration Contour ◽  
Deformation Region ◽  
Conductive Medium ◽  
Analyticity Domain ◽  
Uniform Medium

The electromagnetic field in electrical exploration problems is often represented as integrals with a fast-oscillating nucleus. When calculating these integrals on a computer, it is necessary to deform the contour of integration into the plane of the complex variable. The article studies the allowable deformation region of the integration contour in the case of a non-uniform medium, in which strong and weak solutions of electromagnetic field are analytical. The source of the field is a vertical dipole. A similar problem was solved for a horizontally layered medium with a harmonious electrical or magnetic dipole as a source.

Estimation of electromagnetic field in air by a magnetic dipole in the sea based on a current sheet model

2016 ◽  
Vol 10 (7) ◽  
pp. 709-718
Author(s):  
Honglei Wang ◽  
Kunde Yang ◽  
Kun Zheng ◽  
Yixin Yang ◽  
Yuanliang Ma
Keyword(s):  
Electromagnetic Field ◽  
Current Sheet ◽  
Magnetic Dipole ◽  
A Current

Photomagnetic disintegration and magnetic moment of the deuteron in the meson theory

1940 ◽  
Vol 36 (3) ◽  
pp. 351-362 ◽  
Author(s):  
S. T. Ma
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Dipole ◽  
Cross Section ◽  
Magnetic Moment ◽  
Dipole Moments ◽  
External Electromagnetic Field ◽  
Nuclear System ◽  
Multipole Moments ◽  
Early Stages ◽  
Meson Theory

The interaction between an external electromagnetic field and a nuclear system can be expressed in terms of the multipole moments. The electric quadripole and the magnetic dipole moments of the deuteron have been calculated, taking into account the exchange forces as given by the meson theory. The cross-section of the photomagnetic effect of the deuteron has been calculated.This work was carried out under the guidance of Dr Heitler and Dr Fröhlich. The writer wishes to express his sincerest thanks to them for suggesting the problem and many valuable comments. The writer is also indebted to Dr Kahn for discussions during the early stages of this work.

The momentum of light in a refracting medium

1976 ◽  
Vol 347 (1651) ◽  
pp. 475-491 ◽  
Keyword(s):  
Refractive Index ◽  
Electromagnetic Field ◽  
Light Pulse ◽  
Correct Answer ◽  
Light Wave ◽  
Physical Interest ◽  
Momentum Change ◽  
Uniform Medium ◽  
Acoustic Transients ◽  
Mechanical Momentum

It is shown that neither Minkowski’s result, according to which the ratio of momentum to energy for a light wave in a medium of refractive index n is n / c , nor that of Abraham, who found 1/ nc , is correct. For a broad wave in a uniform medium, the correct answer is given by (2.12) with σ = 1/5. For weak refraction it is approximately equal to the average of the Abraham and Minkowski results. Abraham’s formula gives correctly the part of the momentum which resides in the electromagnetic field, but not the mechanical momentum of the medium which travels with the light pulse. Minkowski’s formula gives the pseudo-momentum, a quantity of physical interest. The momentum change upon reflexion or transmission usually involves also acoustic transients, these are discussed for some simple cases.

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