Method of modeling of VLF wave propagation in the Earth's magnetosphere and upper ionosphere

A method of ray tracing (RT) with amplitude variations for simulating VLF wave propagation in a weakly inhomogeneous upper ionosphere and magnetosphere is discussed in detail. This ray tracing plus amplitude (RTA) technique is different from the existing ones in the selection of the most complete model with all its plasma parameters dependent on geomagnetic activity, allowance of thermal correction to the refractive index, and calculations of amplitude factors (coefficients of focusing-defocusing, polarization, and linear amplification-attenuation). The presented examples of calculations show that the introduction of the above new elements in the RT technique makes it possible to clarify the wave propagation properties and to account for numerous experimental phenomena.

[1]  Sergei Sazhin,et al.  Mid-latitude and plasmaspheric hiss: A review , 1992 .

[2]  M. Hayakawa,et al.  The propagation of low-latitude whistlers: A review , 1992 .

[3]  M. Hayakawa,et al.  Study of generation mechanisms of magnetospheric VLF/ELF emissions based on the direction findings , 1992 .

[4]  H. Strangeways.  The upper cut-off frequency of nose whistlers and implications for duct structure , 1991 .

[5]  I. Kimura,et al.  Three‐dimensional ray tracing of electrostatic cyclotron harmonic waves and Z mode electromagnetic waves in the magnetosphere , 1987 .

[6]  H. Strangeways.  A model for the electron temperature variation along geomagnetic field lines and its effect on electron density profiles and VLF paths , 1986 .

[7]  I. Kimura.  Whistler mode propagation in the earth and planetary magnetospheres and ray tracing techniques , 1985 .

[8]  R. Buckley.  On the calculation of intensity in dispersive inhomogenous media in the ray approximation , 1982, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[9]  H. Strangeways.  Trapping of whistler-mode waves in ducts with tapered ends , 1981 .

[10]  M. Laird.  Reflection of electromagnetic waves by density gradients in a magnetised plasma , 1981 .

[11]  R. Herring.  Tracing of Z-mode rays in the magnetosphere , 1980 .

[12]  M. Hayakawa,et al.  The influence of the equatorial anomaly on the ground reception of non-ducted whistlers at low latitudes , 1980 .

[13]  Y. T. Chiu,et al.  An equilibrium model of plasmaspheric composition and density , 1979 .

[14]  P. Dyson,et al.  On the relation between phase path, group path and attenuation in a cold absorbing plasma , 1978, Journal of Plasma Physics.

[15]  T. Bell,et al.  The plasmapause as a VLF wave guide , 1977 .

[16]  B. C. Edgar.  The theory of VLF Doppler signatures and their relation to magnetospheric density structure , 1976 .

[17]  F. Walter,et al.  VLF propagation in the magnetosphere during sunrise and sunset hours , 1975 .

[18]  D. Williams,et al.  The quiet time structure of energetic (35–560 keV) radiation belt electrons , 1975 .

[19]  K. Suchy.  The propagation of wave packets in inhomogeneous anisotropic media with moderate absorption , 1974 .

[20]  H. G. James.  REFRACTION OF WHISTLER-MODE WAVES BY LARGE-SCALE GRADIENTS IN THE MIDDLE- LATITUDE IONOSPHERE. , 1972 .

[21]  R. A. Dory,et al.  Effect of Electron Temperature on Absolute Instabilities in Loss‐Cone Plasmas , 1968 .

[22]  I. Kimura.  Effects of Ions on Whistler‐Mode Ray Tracing , 1966 .

[23]  Donald J. Williams,et al.  Nightside magnetosphere configuration as obtained from trapped electrons at 1100 kilometers. , 1965 .

[24]  J. J. Angerami,et al.  Studies of planetary atmospheres: 1. The distribution of electrons and ions in the Earth's exosphere , 1964 .

[25]  S. Singer,et al.  Distribution of density in an ion-exosphere of a nonrotating planet. , 1964 .

[26]  G. Mead.  DEFORMATION OF THE GEOMAGNETIC FIELD BY THE SOLAR WIND , 1964 .

[27]  Steven Weinberg,et al.  Eikonal Method in Magnetohydrodynamics , 1962 .

[28]  I. Yabroff.  Computation of whistler ray paths , 1961 .

[29]  R. Helliwell,et al.  A theory of trapping of whistlers in field‐aligned columns of enhanced ionization , 1960 .

[30]  J. Haselgrove,et al.  Ray Theory and a New Method for Ray Tracing , 1955 .