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2D Modeling of the O-X conversion in toroidal plasmas

机译:环形等离子体中O-X转换的2D建模

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The conversion of an ordinary (O) mode to an extraordinary (X) mode at electron cyclotron frequencies (Prienhalter and Kopecky 1973 J. Plasma Phys. 10 1) in a spherical tokamak geometry has been examined numerically. A cold plasma dielectric tensor was used; the singularity at the upper hybrid resonance (UHR) was treated by introducing an artificial collision frequency. This allowed us to model the O-X-B mode conversion scheme (B stands for the Bernstein wave) analytically reducing the wave equations to the second order. Our numerical modeling confirmed the predictions of the 2D O-X conversion theory. In particular, it was shown that, first, the pattern of the converted X wave can be correctly described by an analytical formula within its validity limits, and second, there is an asymmetry of the O-X conversion efficiency with respect to the direction of the toroidal magnetic field. The last result is the first numerical confirmation of the effect predicted earlier by the 2D O-X conversion theory. Our modeling did not confirm the discouraging result of the numerical simulation (Vdovin 2006 33rd EPS Conf. on Plasma Physics vol 30I) that the UHR plays an important role in RF power deposition when O-mode is launched at the fundamental harmonic, and no conditions for effective O-X conversion are provided.
机译:在数值上研究了球形托卡马克几何结构中电子回旋加速器频率下的普通(O)模式到非常规(X)模式的转换(Prienhalter和Kopecky 1973 J.等离子物理10 1)。使用冷等离子体介电张量;通过引入人工碰撞频率来处理高混合共振(UHR)处的奇点。这使我们能够对O-X-B模式转换方案(B代表伯恩斯坦波)进行建模,以分析方式将波动方程降至二阶。我们的数值模型证实了二维O-X转换理论的预测。特别地,已经表明,首先,可以通过在其有效范围内的解析公式正确地描述转换后的X波的方向,其次,相对于环形方向,OX转换效率存在不对称性。磁场。最后的结果是对二维O-X转换理论先前预测的效果的第一个数值确认。我们的模型没有证实数值模拟的令人沮丧的结果(Vdovin 2006年第33届EPS Conf。on Plasma Physics vol 30I),即当在基本谐波上无条件启动O模式时,UHR在RF功率沉积中起着重要作用。提供有效的OX转化。

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