Principles of Electromagnetic Waves and Materials, 2nd Edition

Appendix 10B: First-Order Coupled Differential Equations for Waves in Inhomogeneous Warm Magnetoplasmas*

Dikshitulu K. Kalluri and H. Unz

The first-order coupled differential equations for waves in temperate inhomogeneous magnetoplasmas are well known [1]. The extension of this method for the case of waves in inhomogeneous warm magnetoplasmas is presented here. In this form, they are well suited for solution on a digital computer by the Runge–Kutta method. The plasma is assumed to be neutral and in equilibrium, and the motion of the ions is neglected. Taking ${\overline{E}}_0$, ${\overline{H}}_0$, p₀, N₀, and $T_0\left({\overline{u}}_0=0\right)$ as the stationary values of the plasma which are given functions of position, and ${\overline{E}}_1$, ${\overline{H}}_1$, p₁, N₁, T₁, and ${\overline{u}}_1$ as the harmonic time-varying (e^iωt) small ...