Two methods for the exact solution of diffraction problems Preface Chapter 1. Introduction Chapter 2. Historical background of the Sommerfeld method Chapter 3. Two leaved generalization of a spherical wave: one branch line Chapter 4. Fresnel diffraction by a semi infinite plane Chapter 5. Fresnel diffraction by a circular disk Chapter 6. Fresnel diffraction by a flat circular annulus Chapter 7. Fresnel diffraction by a slit between perfectly conducting half planes Chapter 8. Coordinate systems Chapter 9. Radiation scattering by a hexagonal ice cylinder: coordinate system Chapter 10. Radiation scattering by a hexagonal ice cylinder: boundary conditions Appendix A. Alternative methods of exact diffraction analyses Appendix B. Sommerfeld’s original analyses Appendix C. Analytic functions of a complex variable Appendix D. Uniform convergence