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Numerical and analytical solution of the Lower Hybrid electromagnetic wave equation in one dimensional geometry for propagating and mode converted waves

机译：较低混合电磁波方程在传播和模式转换波的一维几何中的数值和分析解

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The use of the lower hybrid (LH) waves is a highly desirable tool for tailoring the plasma current profile in advanced tokamak scenarios. Experiments on LHCD in plasmas with.parameters close to those expected in ITER (especially as regarding electron density), have been performed in these last years to master this issue: in FTU [1], in JET [2] and C-Mod [3]. The LH waves are characterized by two modes of propagation called the slow and the fast wave characterized by an Ez/Ex and Ey/Ex wave field polarization respectively. -Usually, the lower hybrid waves are launched as slow waves into a tokamak by means of waveguide antennas (grill). Anyway in real.plasmas, the non-uniformity of the magnetic field and of the plasma density give rise to critical layers where the slow wave may be converted into the fast wave with a consequent loss of energy. The propagation and the mode conversion of the LH waves is studied analytically and numerically in the following paper by solving the full electromagnetic wave equation (a 'fourth order ordinary differential equation for the electric field) [4] which is obtained from the Maxwell-Vlasov model.
机译：使用下混合动力车（LH）波是一种非常理想的工具，用于在高级托卡马克场景中定制等离子体电流轮廓。在近年来，靠近近年来预期的Plasmas的LHCD的实验。在过去几年中，在过去几年中进行了掌握了这个问题：在FTU [1]中，在Jet [2]和C-Mod中[ 3]。 LH波的特征在于分别称为慢速和快速波的两种传播模式，其特征在于EZ / EX和EY / EX波场偏振。 - 通常，通过波导天线（烤架）将较低的混合波作为慢波作为托卡卡克推出。无论如何，实际上，磁场和等离子体密度的不均匀性导致临界层，其中慢波可以转换为快速波，随后的能量损失。通过求解全电磁波方程（电场的“电场的第四阶常微分方程”（电气场的“四阶常微分方程）来分析和数值在下列纸张中进行分析和数值的传播和模式转换。从Maxwell-Vlasov获得模型。

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