Analysis Of Radio Propagation With Parabolic Equation Method

The Prediction of radio wave propagation characteristics, with the rapid development of modern communication technology, has become an important research topic. The present research methods include theoretical research, experimental observations and computer simulations. However, there is still not a complete theory of wave propagation estimation.Parabolic equation (PE) is one of the methods using computer simulations to accurately predict the propagation characteristics. The calculation is taken to march from plane to plane along the paraxial direction and in this way the3D problem can be converted into a series of2D problems to be solved. Both the memory requirement and the CPU time can be saved by the PE method. The thesis focuses on the analysis of parabolic equation for radio wave propagation. This thesis is constructed as follows:Firstly, some knowledge about the electromagnetic wave propagations and the theory of parabolic equation are introduced. The forms of two dimensional standard parabolic equation, three dimensional standard parabolic equation and vector parabolic equation are analysed.Moreover, for the large range propagation problems, Split-Step Fourier Transform (SSFT) and Finite difference (FD) methods are applied to calculate the loss characteristics of wave propagation in some common environment problems. The treatment of the initial field and the boundary condition are given.At last, the alternating direction implicit (ADI) method is introduced combined with PE method. Tunnels, as a special environment, are considered. The results are compared with those by traditional finite difference scheme. Compared with the traditional method, the ADI method can save more memory and be used as an efficient tool for modeling objects with complex shape.