The present application belongs to the technical field of
radio wave propagation, and discloses a three-dimensional parabolic equation prediction method for the propagation characteristics of low-frequency ground wave on fluctuating
terrain. Firstly, the 3D-CMM-PE form on the condition of irregular
terrain is derived, and then the explicit difference format of 3D-CMM-PE is proposed. On this basis, combined with the single-side approximation and the explicit difference scheme, the 3D impedance boundary condition is effectively merged into the explicit finite difference
algorithm. Then, the field distribution in the calculation area is solved point by point, and based on the full-field calculation result, the
magnetic field intensity and the secondary time
delay of the
radio wave propagation are further solved. The significant
advantage of the method is that by introducing the explicit finite difference
algorithm and combining the 3D impedance boundary
processing, the
complex matrix inversion process in the traditional implicit
algorithm is avoided, the calculation complexity and memory requirement are greatly reduced, and the overall calculation efficiency is improved, thereby providing effective
technical support for the
engineering prediction and practical application of the low-frequency ground
wave propagation characteristics.