The geometrical theory of diffraction (GTD) is an efficient method of analysis and design of wave fields. It is widely used in antenna synthesis in microwave, millimetre and infra-red bands, in circuit engineering and laser system design. It is a convenient tool for tackling the problems of wave propagation and scattering at bodies of complex shape. The method combines the simplicity and physical transparency of geometrical optics with high computational accuracy over a wide dynamic range of quantities analysed. The advantage of GTD is particularly pronounced in applications where the wavelength is small compared with the typical size of scatterers, i.e. in situations where the known analytical techniques - variational calculus and numerical analysis - are no longer applicable.

This book painstakingly systematises the ideas underlying GTD, gives a detailed explanation of the modern state of the theory within the bounds of its validity, and elucidates its relationships with other popular asymptotic theories - the methods of physical optics and edge waves.

The book is designed for scientists, engineers and postgraduate students involved in electromagnetics, radio engineering and optical system design.