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The effect of the azimuthal angleof the wave vector k on the propagation char-acteristics of the superluminous L-O mode waves(together with a case of the R-X mode)duringdifferent geomagnetic activities using a three-dimensional(3D)ray-tracing method is investigated.This work is primarily an extension of our previous two-dimensional study in which the wave az-imuthal angle was not considered.We present numerical simulations for this mode which is gener-ated in the source cavity along a 70° night geomagnetic field line at the specific altitude of 1.5R_E(where R_E is the Earth’s radius).It is found that,as in the two-dimensional case,the trajectoryof L-O mode starting in the source meridian plane(or the wave azimuthal angle=180°)canreach the lowest latitude;whereas it basically stays at relatively higher latitudes starting off thesource meridian plane(or≠180°).The results reveal that under appropriate conditions,thesuperluminous L-O mode waves may exist in the radiation belts of the Earth,but this remains tobe supplemented by observational data.
The effect of the azimuthal angle of the wave vector k on the propagation char-acteristics of the superluminous LO mode waves (together with a case of the RX mode) during different geomagnetic activities using a three-dimensional (3D) ray-tracing method is investigated. This work is was an extension of our previous two-dimensional study in which the wave az-imuthal angle was not considered. We present numerical simulations for this mode which is gener-ated in the source cavity along a 70 ° night geomagnetic field line at the specific altitude of 1.5R_E (where R_E is the Earth’s radius) .It is found that, as in the two-dimensional case, the trajectoryof LO mode starting in the source meridian plane (or the wave azimuthal angle = 180 °) canreach the lowest latitude; yet it basically stays at relatively higher latitudes starting off the source meridian plane (or ≠ 180 °). The results reveal that under appropriate conditions, thesuperluminous LO mode waves may exist in the radiation belts of the Earth, but this remains tobe supplemented by observational data.