Two Methods for the Exact Solution of Diffraction Problems (SPIE Press Monograph Vol. PM127)

In analyses of radiation scattering, accurately assessing the shape of the scatterer and the wavelength of the incident radiation is a goal that has challenged researchers since the beginning of optical science. This innovative text presents two methods of calculating the electromagnetic fields due to radiation scattering by a single scatterer. Both methods yield valid results for all wavelengths of the incident radiation as well as a wide variety of scatterer configurations.

Contents

- Preface

- Introduction

- Historical Background of the Sommerfeld Method

- Two-Leaved Generalization of a Spherical Wave: One Branch Line

- Fresnel Diffraction by a Semi-Infinite Plane

- Fresnel Diffraction by a Circular Disc

- Fresnel Diffraction by a Flat Circular Annulus

- Fresnel Diffraction by a Slit between Perfectly Conducting Half-Planes

- Coordinate Systems

- Radiation Scattering by a Hexagonal Ice Cylinder: Coordinate System

- 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

- Index