Preface -- Contents -- Introduction -- 1 Method of Generalized Eikonal -- 1.1 Integral representation of solution -- 1.1.1 Statement of the problem -- 1.1.2 Construction of "auxiliary" domain and generalized geometrical optics function -- 1.1.3 Boundary conditions -- 1.1.4 Features of the solution -- 1.2 Asymptotic calculation of contour integrals by method of stationary phase -- 1.2.1 General solution -- 1.2.2 Solution of diffraction problem for plane and cylindrical waves by the method of generalized eikonal -- 2 Solution of Two-dimensional Problems by the Method of Generalized Eikonal -- 2.1 Introduction -- 2.2 Diffraction by half-plate -- 2.2.1 Solution on the given curve rd0 -- 2.2.2 Power normalization -- 2.2.3 Solution by method of successive diffractions (MSD) -- 2.2.4 Results of calculations -- 2.3 Diffraction by a truncated wedge -- 2.3.1 Schwarz-Christoffel integral -- 2.3.2 Features of solution for half-plate -- 2.3.3 Solution by method of successive diffractions -- 2.3.4 Principles for the construction of heuristic solutions for diffraction by truncated wedge -- 2.3.5 Solution with generalized Fresnel integral -- 2.3.6 Numerical results -- 2.3.7 Analysis of solutions -- 3 Application of Two-dimensional Solutions to Three-dimensional Problems -- 3.1 Integrals over elementary strips -- 3.1.1 Statement of the diffraction problem -- 3.1.2 Infinite cylinder -- 3.1.3 Far zone condition -- 3.1.4 Fragment of cylindrical surface -- 3.1.5 Polygonal edge -- 3.2 Application of two-dimensional solutions to three-dimensional problems -- 3.2.1 Physical optics solution for diffraction by a plane scatterer. Properties of contour integral -- 3.2.2 Rigorous 3D formulas -- 3.2.3 Comparison with 2D case -- 3.2.4 Total current diffraction coefficients.

4 Diffraction by a Plane Perfectly Conducting Angular Sector (Heuristic Approach) -- 4.1 Statement of the problem -- 4.2 Solution in physical optics approximation -- 4.2.1 Contour integral with enforced far zone condition -- 4.2.2 Inputs of edges and vertices -- 4.3 Solution in EECM approximation -- 4.3.1 Rigorous solution for oblique incident wave -- 4.3.2 Substitution of polarization components of diffraction coefficients -- 4.4 Modified EECM -- 4.5 Applicability limits of heuristic approaches -- 4.5.1 Solution algorithm -- 4.5.2 Applicability limits of heuristic solutions -- 5 Propagation of Radio Waves in Urban Environment (Deterministic Approach) -- 5.1 Relevance of the problem -- 5.2 Specifics of radio wave propagation in urban environment -- 5.3 Design formulas -- 5.3.1 Zone significant for radio wave propagation -- 5.3.2 Reference solutions -- 5.3.3 Mutual coupling between two antennas -- 5.3.4 Energy relationships -- 5.3.5 Fresnel zone -- 5.3.6 Derivation of heuristic formulas -- 5.3.7 Solution algorithm -- 6 Analytical Heuristic Solution for Wave Diffraction by a Plane Polygonal Scatterer -- 6.1 Introduction -- 6.2 Problem formulation for elastic wave diffraction -- 6.3 Approach to derivation of formulas -- 6.4 General form of the solution -- 7 Conclusion -- A Application of Stokes Theorem to Diffraction Problems -- A.1 Stokes theorem. Relationship between the surface and contour integrals -- A.2 Integral over the surface of a finite-size polygon -- A.3 Integral over the surface of a plane angular sector -- A.4 Vertex waves for a finite-size polygon -- A.5 Phase function and far zone condition -- B Rigorous Two-dimensional Solution for Diffraction by Half-plane -- C Application of Imaginary Edge in Diffraction Problems.

D Summary of Formulas for Diffraction by Plane Angular Sector -- E Fresnel Integral and its Properties -- F Generalized Fresnel Integral and Its Properties -- G Electromagnetic Wave Diffraction by Semi-transparent Plate -- H Generalized Diffraction Coefficient and its Application to Diffraction Problems -- Bibliography -- Index.