PROPAGATION OF AN ELECTRIC PULSE THROUGH A HOMOGENEOUS AND ISOTROPIC MEDIUM

Bimal Krishna Bhattacharyya

doi:10.1190/1.1438433

PROPAGATION OF AN ELECTRIC PULSE THROUGH A HOMOGENEOUS AND ISOTROPIC MEDIUM

Geophysics ◽

10.1190/1.1438433 ◽

1957 ◽

Vol 22 (4) ◽

pp. 905-921 ◽

Cited By ~ 13

Author(s):

Bimal Krishna Bhattacharyya

Keyword(s):

Magnetic Fields ◽

Isotropic Medium ◽

Electric Pulse ◽

Step Function ◽

Displacement Current ◽

Electric And Magnetic Fields ◽

Time Of Travel

The paper discusses the propagation of a step‐function pulse in a medium characterized by the three electric constants, permittivity ε, permeability μ and conductivity σ. The effect of the displacement current on the propagation is fully taken into account. Expressions of electric and magnetic fields are determined. It is shown that the time of travel of the pulse and the initial and final values of any one of the non‐vanishing field components (all of which can be measured) fully specify the values of conductivity and permittivity of the medium.

Download Full-text

ELECTROMAGNETIC FIELDS OF A TRANSIENT MAGNETIC DIPOLE ON THE EARTH’S SURFACE

Geophysics ◽

10.1190/1.1438572 ◽

1959 ◽

Vol 24 (1) ◽

pp. 89-108 ◽

Cited By ~ 16

Author(s):

Bimal Krishna Bhattacharyya

Keyword(s):

Magnetic Fields ◽

Step Function ◽

Displacement Current ◽

Time Interval ◽

Initial Amplitude ◽

Impedance Function ◽

Circular Loop ◽

Mutual Impedance ◽

The Earth ◽

Electric And Magnetic Fields

Transient electric and magnetic fields close to the surface of the earth, as developed by a step‐function current flowing in a circular loop of wire, have been determined. The effect of the insulating air region is fully taken into account. It is observed that the air region has an appreciable influence on the fields over the surface of the earth. The effect of displacement current within the earth has also been considered. Expressions of electric and magnetic fields have been utilized to determine (a) the mutual impedance function between the primary loop and a small length of wire and (b) the voltage induced in a secondary loop. Both these functions are found to have appreciable magnitudes only during the time interval between the arrival of the wave travelling through air and that of the wave via the conducting medium. From a study of this duration and the initial amplitude of either of the two functions, it is possible to obtain values of conductivity and permittivity of the earth. Curves have been plotted to depict the nature of variation of these functions with time for different values of the electric constants of the earth.

Download Full-text