A new approximate electrostatic relativistic dispersion relation for electron Bernstein waves (EBWs) in a Maxwellian plasma has been derived. The relation is reasonably simple for analytical analysis and accurate enough for numerical applications. Comparisons with corresponding exact formulae are presented. Formulae for absorption of the EBWs based on this dispersion relation have been implemented into a ray-tracing code routinely used for the EBW heating and current drive simulations on MAST at Culham Science Centre, UK. Typical simulation run time of the EBW package takes a couple of minutes on a moderate workstation with a single processor.
摘要：已推导出麦克斯韦等离子体中电子伯恩斯坦波（EBWs）的新的近似相对论色散关系。该关系式足够简单，便于解析分析，且足够精确，适用于数值计算。给出了与精确公式的比较。基于该色散关系的EBW吸收公式已应用于射线追踪代码中，该代码常规用于英国卡勒姆科学中心的MAST装置上的EBW加热和电流驱动模拟。在单处理器的中等工作站上，EBW程序包的典型模拟运行时间仅为数分钟。