Geometrical Optics of Inhomogeneous Media

Geometrical Optics of Inhomogeneous Media presents a systematic treatment of geometrical optics, the most effective and widely used method of wave theory. The treatment includes the major developments of recent decades, among them the space-time geometrical optics of dispersive media, the quasi-isotropic approximation, new perturbation techniques for rays, and universally valid limits of applicability.

1. Introduction.- 2. The Scalar Wave Field.- 2.1 Equations of Geometrical Optics.- 2.2 Rays and the Eikonal.- 2.3 Wave Amplitude.- 2.4 Caustics.- 2.5 Reflection and Refraction of Waves at Interfaces.- 2.6 Reciprocity of Rays and Caustics.- 2.7 Space-Time Geometrical Optics.- 2.8 Separation of Variables in the Eikonal Equation.- 2.9 Perturbation Techniques for Geometrical-Optics Equations.- 2.10 Applicability of Geometrical Optics.- 3. Applications of the Ray Methods.- 3.1 Waves in Homogeneous Media.- 3.2 Reflection and Refraction at an Interface Between Homogeneous Media.- 3.3 Rays and Caustics in Plane-Stratified Media.- 3.4 Wave Fields in Plane-Stratified Media.- 3.5 Waves in Radially Inhomogeneous Media.- 3.6 Tapered and Other Inhomogeneous Media.- 3.7 Geometrical Optics of Waveguides and Resonators.- 3.8 Wave Scattering at Localized Inhomogeneities.- 3.9 Pulse Propagation.- 3.10 Numerical Methods in the Geometrical Optics of Inhomogeneous Media.- 3.11 Inverse Problems of Geometrical Optics.- 4. Vector Wave Fields.- 4.1 Transverse Electromagnetic Waves in Isotropic Media.- 4.2 Independent Normal Waves in an Anisotropic Medium.- 4.3 Interaction of Normal Modes in Inhomogeneous Anisotropic Media.- 4.4 Equations of Geometrical Optics for Nonharmonic Electromagnetic Waves in the General Case of Inhomogeneous and Nonstationary Dispersive Media.- 4.5 Constitutive Equations for Nonstationary and Inhomogeneous Dispersive Media. Existence of Adiabatic Invariance.- 4.6 Wave Processes in Nonstationary Media.- 5. Conclusion.- References.