Reconstruction of the coordinate dependence of the diagonal form of the dielectric permittivity tensor of a one-dimensionally inhomogeneous medium

The relationship between ice fabric and the internal radio-echo reflections was investigated using observation data collected at Mizuho Station, Antarctica. The data were obtained by 179 MHz radio-echo sounding and the ice fabric was measured from 700 m Mizuho ice core. The dielectric permittivity tensor at given depths in the ice sheet was calculated from the ice fabric.The calculated dielectric permittivity tensor showed that the ice sheet at Mizuho Station is a uniaxially birefringent medium. The symmetrical axis of rotation was the same as the flow line. In such a medium, theory predicts that the electric field vectors are allowed only in the two directions parallel and perpendicular to the flow line. The prediction coincided well with the observation: a strong signal was observed only when the transmitting antenna and the receiving antenna, kept parallel to one another, were oriented parallel or perpendicular to the flow line. However, the observed signal strength in these two directions differed from one another at each depth.It is also shown that the power reflection coefficient due to the variation of ice fabric with depth is of approximately the same order as that due to the density change and is large enough to produce the predominant internal radio-echo reflections.

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Drift instabilities of a relativistic plasma. Part 1. Kinetic description of drift effects in a relativistic plasma

Journal of Plasma Physics ◽

10.1017/s002237780001196x ◽

1987 ◽

Vol 37 (1) ◽

pp. 15-28 ◽

Cited By ~ 5

Author(s):

A. B. Mikhailovskii ◽

O. G. Onishchenko

Keyword(s):

Dispersion Relation ◽

Dielectric Permittivity ◽

Relativistic Effects ◽

Plasma Pressure ◽

Relativistic Plasma ◽

Magnetized Plasma ◽

Permittivity Tensor ◽

Dielectric Permittivity Tensor ◽

General Dispersion

The role of relativistic effects in the problem of drift instabilities in an inhomogeneous magnetized plasma is analysed. The kinetic approach is developed, taking into account a non-zero plasma pressure and the electromagnetic character of the perturbations. The general dispersion relation for the perturbations in an inhomogeneous relativistic plasma is obtained. As in the case of a non-relativistic plasma, the dispersion relation is written in terms of the modified dielectric permittivity tensor. This tensor is calculated by taking into account the non-Maxwellian character of the equilibrium momentum distributions of the particles. The relation between the modified dielectric permittivity tensor and the ordinary tensor of dielectric permittivity of a homogeneous plasma is elucidated.

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Influence of Thermal and Collisional Effects on the Dielectric Permittivity Tensor in a Multi Layer Plasma Waveguide With Elliptical Cross Section

IEEE Transactions on Plasma Science ◽

10.1109/tps.2011.2176911 ◽

2012 ◽

Vol 40 (2) ◽

pp. 414-420 ◽

Cited By ~ 6

Author(s):

Bahram Jazi ◽

Ali Reza Niknam ◽

Abbas Abdoli-Arani

Keyword(s):

Dielectric Permittivity ◽

Cross Section ◽

Elliptical Cross Section ◽

Plasma Waveguide ◽

Permittivity Tensor ◽

Elliptical Cross ◽

Dielectric Permittivity Tensor

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Generalized dielectric permittivity tensor

Journal of Applied Spectroscopy ◽

10.1007/bf00660448 ◽

1985 ◽

Vol 43 (3) ◽

pp. 1053-1058

Author(s):

G. N. Borzdov ◽

L. M. Barkovskii ◽

F. I. Fedorov

Keyword(s):

Dielectric Permittivity ◽

Permittivity Tensor ◽

Dielectric Permittivity Tensor

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Relation between ice sheet internal radio-echo reflections and ice fabric at Mizuho Station, Antarctica

Annals of Glaciology ◽

10.1017/s0260305500012957 ◽

1993 ◽

Vol 17 ◽

pp. 269-275 ◽

Cited By ~ 21

Author(s):

Shuji Fujita ◽

Shinji Mae

Keyword(s):

Dielectric Permittivity ◽

Flow Line ◽

Ice Core ◽

Ice Sheet ◽

Permittivity Tensor ◽

Observation Data ◽

Dielectric Permittivity Tensor ◽

Radio Echo Sounding ◽

Oriented Parallel ◽

Transmitting Antenna

The relationship between ice fabric and the internal radio-echo reflections was investigated using observation data collected at Mizuho Station, Antarctica. The data were obtained by 179 MHz radio-echo sounding and the ice fabric was measured from 700 m Mizuho ice core. The dielectric permittivity tensor at given depths in the ice sheet was calculated from the ice fabric. The calculated dielectric permittivity tensor showed that the ice sheet at Mizuho Station is a uniaxially birefringent medium. The symmetrical axis of rotation was the same as the flow line. In such a medium, theory predicts that the electric field vectors are allowed only in the two directions parallel and perpendicular to the flow line. The prediction coincided well with the observation: a strong signal was observed only when the transmitting antenna and the receiving antenna, kept parallel to one another, were oriented parallel or perpendicular to the flow line. However, the observed signal strength in these two directions differed from one another at each depth. It is also shown that the power reflection coefficient due to the variation of ice fabric with depth is of approximately the same order as that due to the density change and is large enough to produce the predominant internal radio-echo reflections.

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