"Asymptotic Methods in Short-Wavelength Diffraction Theory" is dedicated to modern approaches of a high-frequency technique in diffraction theory. Among the considered topics are: the ray method, the parabolic equation approach, the method of "etalon" problems, an asymptotics of the Laplacian eigenfunctions and of the Green's function to the Helmholtz equation, the theory of high-frequency whispering-gallery waves. Recent results from the literature dealing with localized asymptotic solutions and uniform representation of a high-frequency wave-field are also reviewed. The monograph is addressed to the experts on electromagnetics, seismology and acoustics as well as to mathematicians interested in modern approaches of the mathematical physics.
V. M. Babich.: Lab. for Mathematical Problems in Geophysics St. Petersburg Branch of Steklov Math. Institute Russian Academy of Science, Fontanka 27, St. Petersburg, Russia V. S. Buldyrev.: Department of Mathematics and Mathematical Physics Division of Physics, St. Petersburg University, Ulyanovskaya 1 Petrodvoretc-St. Petersburg, Russia