Wave Phenomena: Theoretical, Computational, and Practical Aspects

ISBN-13: 9781461388586 / Angielski / Miękka / 2011 / 275 str.

Lui Lam; Hedley C. Morris

Opis

IJ:1 June of 1987 the Center for Applied Mathematics and Computer Science at San Jose State University received a bequest of over half a million dollars from the estate of Mrs. Marie Woodward. In the opening article of this collection of papers Jane Day, the founder of the Center, describes the background that led to this gift. In recognition of the bequest it was decided that a series of Woodward Conferences be established. The First Woodward Conference took place at San Jose State University on June 2-3 1988. The themes of the conference were the Theoretical, Computational and Practical Aspects of Wave Phenomena and these same themes have been used to divide the contributions to this volume. Part I is concerned with papers on theoretical aspects. This section includes papers on pseudo-differential operator techniques, inverse problems and the mathematical foundations of wave propagation in random media. Part II consists of papers that involve significant amounts of computation. Included are papers on the Fast Hartley Transform, computational algorithms for electromagnetic scattering problems, and nonlinear wave interaction problems in fluid mechanics. vi Part III contains papers with a genuine physics flavor. This final section illustrates the widespread importance of wave phenomena in physics. Among the phenomena considered are waves in the atmosphere, viscous fingering in liquid crystals, solitons and wave localization.

Spis treści

The Woodward Bequest.- I Theoretical Aspects.- Paraxial Wave Equations and Absorbing Boundary Conditions.- Numerical Method for Solving 3D Inverse Problems with Complete and Incomplete Data.- Wave Propagation in Random Media.- Phase Space Factorization and Functional Integral Methods in Direct and Inverse Scattering--Symbol Analysis.- On the Unique Restoration of the Coefficient in a Wave Equation.- An Optimization Technique for the Inversion of Scattered Field Data.- II Computational Aspects.- Numerical Simulation of Fields.- A High Frequency Reformulation of the FDTD Algorithm in Generalized Coordinates.- A Staggered-grid Finite Element Solution Technique for the Maxwell’s Equations in the Time Domain.- On Some Aspects of Wave Interactions in Plane Mixing Layers.- A Numerical Study of the Motion of a Wave Running up a Beach.- III Practical Aspects.- Waves in Atmospheres.- Waves in Anisotropic Media.- Interfacial Waves in the Hele-Shaw Cells of Liquid Crystal-Air Systems.- A New Formulation for Wave Propagation in Layered-Inhomogeneous Anisotropic Media: Generalized Geometrical-Optics Approximation.- Anderson Localization of the Electromagnetic Wave in a Random Dielectric Medium.- Modeling of Dispersion Effects in Optical Systems.