摘要 在本篇研究中，我們探討線性的磁流體波在壓力均向但非均勻的電漿中傳播之特性。我們考慮的背景磁場結構為一維Harris-sheet電流片構造，然而我們在Harris-sheet的反平行磁場( )中，加入了另一個自由度的磁場 。在我們的模型中，磁場不均勻的方向為z方向，而波可以沿著兩個方向傳播( 與 )。本模型的不均勻性包含了：磁場的不均勻，熱壓力的不均勻，以及電漿密度的不均勻。我們導出了一個廣義的波傳播頻散關係式，並利用數值方法解出此一邊界條件的本徵值問題之特徵頻率與特徵函數解。我們討論了在不同的參數如：plasma beta，propagation angle，wave length， 分量與背景密度分佈等的設定下，其磁流體波特性之改變趨勢。 ABSTRACT In this study we examine the characteristics of small-amplitude MHD waves propagating in isotropic inhomogeneous warm plasmas. The background medium considered is of one-dimensional Harris-sheet magnetic field configuration with the corresponding equilibrium thermal pressure. The model allows the waves to propagate in two directions, and , and a guided magnetic field component embedded within the anti-parallel field lines. The inhomogeneity is due to the magnetic field and plasma pressure as well as the plasma density. The dispersion relation is derived and eigen-frequencies as well as eigen-functions are calculated for various parameter values of plasma beta, propagation angle, wave length and background density profiles etc.
