Asymptotic solutions of waves in inhomogeneous plasma with longitudinal magnetic field

Abstract

The asymptotic solutions to the second‐order differential equations governing the wave propagation in inhomogeneous plasma are given where the external magnetic field is assumed to be in the longitudinal direction. The zero‐, first‐, second‐, third‐, fourth,‐ and fifth‐order approximations are explicitly given. It is further shown that the third‐order asymptotic approximation agrees with the WKBJ approximation. Numerical results for a linear profile of electron concentration are given, and they are found to improve the WKBJ approximation.

The association of the residual error of dual-frequency Global Navigation Satellite Systems with ionospheric turbulence parameters

“…(9)-(11) become the well-known expressions (e.g., Budden, 1985;Rao and Unz, 1968). In the onedimensional case, the corresponding full wave equations can be used to describe backward reflection, while the validity of Eqs.…”