Hybrid Formulation of Wave Propagation and Scattering

I: Rays and Modes.- 1. Progressing Fields, Oscillatory Fields, and Hybrid Combinations.- 2. Transform Relations between Rays and Modes.- 3. Spectral Synthesis and Adiabatic Invariants for Non-Uniform Waveguides.- 4. Rays, Modes and Flux.- 5. Ray/Mode Trajectories and Shadows in the Horizontal Plane by Ray Invariants.- 6. Acoustic Propagation in A Wedge-Shaped Ocean with Perfectly Reflecting Boundaries.- II: Rays and Beams.- 1. A Spectral Extended Ray Method for Edge Diffraction.- 2. Modal Edge-Diffraction Coefficients for Cylindrically and Spherically Curved Concave Surfaces.- 3. Rays in Tapered Waveguides.- 4. Numerical Computation of Elastic Wavefields in Anisotropic Elastic Media in the Presence of Caustics.- 5. Complex Rays.- 6. Imaging and Propagation of Beams in Metallic or Dielectric Waveguides.- 7. Gaussian Beam Transformation through Lenses and by Curved Gratings.- 8. Gaussian Beams in Anisotropic Elastic Media and Applications.- III: Transient Propagation and Diffraction.- 1. The Singularity Expansion Representation of Surface Current on A Perfectly Conducting Scatterer.- 2. Wave front Interpretation of SEM Resonances, Turn-On Times, and Entire Functions.- 3. Non-Dispersive Approximations for Transient Ray Fields in An Inhomogeneous Medium.- 4. Time-Domain Weyl Plane-Wave Representation for Wave Functions.- IV: Numerical Modeling.- 1. Numerical Models in Underwater Acoustics.- 2. Modelling of Pulse Propagation in Layered Media Using A New Fast Field Program.- 3. Calculation of Synthetic Seismograms in Layered Media by Means of A Modified Propagator Matrix Method.- 4. The Beam Propagating Method in Integrated Optics.- 5. Time Domain Solution of Nonlinear Pulse Propagation.- 6. Stratification Methods in Waveguiding Structures.- Conclusions.- List of Participants.- Index of Subjects.