Abstract
Two new methods for linear kinetic calculation have been applied to the lower hybrid drift instability (LHDI) to obtain an analytical dispersion relation. One method is to carry out the orbit integration in the place of the conventional “method of characteristics”. With this method we found that the resonance condition of the LHDI becomes a quadratic function of the parallel and perpendicular (to ambient magnetic field) velocities. To carry out the velocity integration for this quadratic resonance condition, we apply the second method, a rational approximation to the distribution function, to obtain a result expressed with elementary functions.
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