In this paper, a kinetic method based on particle velocity distribution function in the context of the nonextensive Tsallis statistics is presented for ordinary and extraordinary waves in a collisionless magnetized hot plasma. The components of the generalized dielectric tensor for perpendicular propagation in hot nonextensive plasma are derived in terms of generalized hypergeometric functions. The components are expressed as functions of different values of the nonextensive parameter $q$, which quantifies the degree of nonextensivity of the system. The dispersion relations of ordinary and extraordinary waves in hot plasma are obtained in the context of the nonextensive statistics. It is shown that in hot nonextensive plasma the generalized dispersion relations of these waves depend on $q$ parameter, which means that the initial distribution function alters the properties of ordinary and extraordinary waves. For the hot nonextensive plasma, the ordinary and extraordinary wave experience resonances at cyclotron harmonics, whilst the upper hybrid resonance is eliminated due to thermal effects. However, cutoff frequencies shift to higher values as $q$ parameter increases.

本文针对非碰撞磁化热等离子体中的寻常波和非寻常波，提出了一种在非广义Tsallis统计范围内基于粒子速度分布函数的动力学方法。根据广义超几何函数，得出了在热非扩展等离子体中垂直传播的广义介电张量的分量。分量表示为非扩展参数不同值的函数$q$，它量化了系统的非扩展程度。在非广泛统计的背景下，获得了热等离子体中的常波和异常波的色散关系。结果表明，在热的非扩展等离子体中，这些波的广义色散关系取决于$q$参数，这意味着初始分布函数会更改普通波和异常波的属性。对于不膨胀的热等离子体，寻常波和异常波会在回旋加速器谐波处发生共振，而上部混合共振由于热效应而被消除。但是，截止频率随着$q$ 参数增加。