This is the first book to present the application of parabolic equation methods to electromagnetic wave propagation. These have become the dominant tool for assessing clear-air and terrain effects on radiowave propagation and are growing increasingly popular for solving scattering problems. Here, the mathematical background to parabolic equation modelling is given and simple parabolic equations are described before progressing to more advanced topics such as domain truncation, the treatment of impedance boundaries and the implementation of very fast hybrid methods combining ray-tracing and parabolic equation techniques. The last part of the book is devoted to scattering problems, with application to propagation in urban environments and to radar-cross-section computation