Ebook: Wave Phenomena: Theoretical, Computational, and Practical Aspects

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.

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These are the proceedings of the first Woodward conference, which brought together experts from a number of different disciplines to discuss problems involving wave phenomena. Research papers and review papers contain results of interest both to workers and graduate students in electromagnetics, fluid mechanics, atmospheric science, and the theory of anisotropic media. Topics discussed include: - the fast Hartley transform - pseudo-differential operator techniques - inverse scattering problems - nonlinear waves in anisotropic media wave localisation - wave propagation in liquid crystals - solitons - Saffman-Taylor viscous fingering

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These are the proceedings of the first Woodward conference, which brought together experts from a number of different disciplines to discuss problems involving wave phenomena. Research papers and review papers contain results of interest both to workers and graduate students in electromagnetics, fluid mechanics, atmospheric science, and the theory of anisotropic media. Topics discussed include: - the fast Hartley transform - pseudo-differential operator techniques - inverse scattering problems - nonlinear waves in anisotropic media wave localisation - wave propagation in liquid crystals - solitons - Saffman-Taylor viscous fingering
Content:
Front Matter....Pages i-xii
The Woodward Bequest....Pages 1-3
Front Matter....Pages 5-5
Paraxial Wave Equations and Absorbing Boundary Conditions....Pages 7-33
Numerical Method for Solving 3D Inverse Problems with Complete and Incomplete Data....Pages 34-43
Wave Propagation in Random Media....Pages 44-75
Phase Space Factorization and Functional Integral Methods in Direct and Inverse Scattering — Symbol Analysis....Pages 76-85
On the Unique Restoration of the Coefficient in a Wave Equation....Pages 86-91
An Optimisation Technique for the Inversion of Scattered Field Data....Pages 92-99
Front Matter....Pages 101-101
Numerical Simulation of Fields....Pages 103-120
A High Frequency Reformulation of the FDTD Algorithm in Generalized Coordinates....Pages 121-139
A Staggered-grid Finite Element Solution Technique for the Maxwell’s Equations in the Time Domain....Pages 140-146
On Some Aspects of Wave Interactions in Plane Mixing Layers....Pages 147-157
A Numerical Study of the Motion of a Wave Running up a Beach....Pages 158-166
Front Matter....Pages 167-167
Waves in Atmospheres....Pages 169-196
Waves in Anisotropic Media....Pages 197-229
Interfacial Waves in Hele-Shaw Cells of Liquid Crystal-Air Systems....Pages 231-248
A New Formulation for Wave Propagation in Layered-Inhomogeneous Anisotropic Media: Generalized Geometrical-Optics Approximation....Pages 249-258
Anderson Localization of the Electromagnetic Wave in a Random Dielectric Medium....Pages 259-267
Modeling of Dispersion Effects in Optical Systems....Pages 268-275

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These are the proceedings of the first Woodward conference, which brought together experts from a number of different disciplines to discuss problems involving wave phenomena. Research papers and review papers contain results of interest both to workers and graduate students in electromagnetics, fluid mechanics, atmospheric science, and the theory of anisotropic media. Topics discussed include: - the fast Hartley transform - pseudo-differential operator techniques - inverse scattering problems - nonlinear waves in anisotropic media wave localisation - wave propagation in liquid crystals - solitons - Saffman-Taylor viscous fingering
Content:
Front Matter....Pages i-xii
The Woodward Bequest....Pages 1-3
Front Matter....Pages 5-5
Paraxial Wave Equations and Absorbing Boundary Conditions....Pages 7-33
Numerical Method for Solving 3D Inverse Problems with Complete and Incomplete Data....Pages 34-43
Wave Propagation in Random Media....Pages 44-75
Phase Space Factorization and Functional Integral Methods in Direct and Inverse Scattering — Symbol Analysis....Pages 76-85
On the Unique Restoration of the Coefficient in a Wave Equation....Pages 86-91
An Optimisation Technique for the Inversion of Scattered Field Data....Pages 92-99
Front Matter....Pages 101-101
Numerical Simulation of Fields....Pages 103-120
A High Frequency Reformulation of the FDTD Algorithm in Generalized Coordinates....Pages 121-139
A Staggered-grid Finite Element Solution Technique for the Maxwell’s Equations in the Time Domain....Pages 140-146
On Some Aspects of Wave Interactions in Plane Mixing Layers....Pages 147-157
A Numerical Study of the Motion of a Wave Running up a Beach....Pages 158-166
Front Matter....Pages 167-167
Waves in Atmospheres....Pages 169-196
Waves in Anisotropic Media....Pages 197-229
Interfacial Waves in Hele-Shaw Cells of Liquid Crystal-Air Systems....Pages 231-248
A New Formulation for Wave Propagation in Layered-Inhomogeneous Anisotropic Media: Generalized Geometrical-Optics Approximation....Pages 249-258
Anderson Localization of the Electromagnetic Wave in a Random Dielectric Medium....Pages 259-267
Modeling of Dispersion Effects in Optical Systems....Pages 268-275
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