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- 00040355 contributor B32077.
- 00040355 created "2001.".
- 00040355 date "2001".
- 00040355 date "2001.".
- 00040355 dateCopyrighted "2001.".
- 00040355 description "Includes bibliographical references (p. 667-696) and index.".
- 00040355 description "Machine generated contents note: INTRODUCTION -- 2 THE ELASTODYNAMIC EQUATION AND ITS SIMPLE SOLUTIONS -- 2.1. Linear Elastodynamics -- 2.2. Elastic Plane Waves -- 2.3. Elastic Plane Waves Across a Plane Interface -- 2.4. High-Frequency Elastic Waves in Smoothly Inhomogeneous Media -- 2.5. Point-Source Solutions. Green Functions -- 2.6. Application of Green Functions to the Construction -- of More General Solutions -- 3 SEISMIC RAYS AND TRAVEL TIMES -- 3.1. Ray Tracing Systems in Inhomogeneous Isotropic Media -- 3.2. Rays in Laterally Varying Layered Structures -- 3.3. Ray Tracing -- 3.4. Analytical Ray Tracing -- 3.5. Ray Tracing in Curvilinear Coordinates -- 3.6. Ray Tracing in Inhomogeneous Anisotropic Media -- 3.7. Ray Tracing and Travel-Time Computations in 1-D Models -- 3.8. Direct Computation of Travel Times and/or Wavefronts -- 3.9. Perturbation Methods for Travel Times -- 3.10. Ray Fields -- 3.11. Boundary-Value Ray Tracing -- 3.12. Surface-Wave Ray Tracing -- 4 DYNAMIC RAY TRACING. PARAXIAL RAY METHODS -- 4.1. Dynamic Ray Tracing in Ray-Centered Coordinates -- 4.2. Hamiltonian Approach to Dynamic Ray Tracing -- 4.3. Propagator Matrices of Dynamic Ray Tracing Systems -- 4.4. Dynamic Ray Tracing in Isotropic Layered Media -- 4.5. Initial Conditions for Dynamic Ray Tracing -- 4.6. Paraxial Travel-Time Field and Its Derivatives -- 4.7. Dynamic Ray Tracing in Cartesian Coordinates -- 4.8. Special Cases. Analytical Dynamic Ray Tracing -- 4.9. Boundary-Value Ray Tracing for Paraxial Rays -- 4.10. Geometrical Spreading in a Layered Medium -- 4.11. Fresnel Volumes -- 4.12. Phase Shift Due to Caustics. KMAH Index -- 4.13. Dynamic Ray Tracing Along a Planar Ray. 2-D Models -- 4.14. Dynamic Ray Tracing in Inhomogeneous Anisotropic Media -- 5 RAY AMPLITUDES -- 5.1. Acoustic Case -- 5.2. Elastic Isotropic Structures -- 5.3. Reflection/Transmission Coefficients for Elastic Isotropic Media -- 5.4. Elastic Anisotropic Structures -- 5.5. Weakly Dissipative Media -- 5.6. Ray Series Method. Acoustic Case -- 5.7. Ray-Series Method. Elastic Case -- 5.8. Paraxial Displacement Vector. Paraxial Gaussian Beams -- 5.9. Validity Conditions and Extensions of the Ray Method -- 6 RAY SYNTHETIC SEISMOGRAMS -- 6.1. Elementary Ray Synthetic Seismograms -- 6.2. Ray Synthetic Seismograms -- 6.3. Ray Synthetic Seismograms in Weakly Dissipative Media -- 6.4. Ray Synthetic Particle Ground Motions -- APPENDIX A FOURIER TRANSFORM, HILBERT TRANSFORM, -- AND ANALYTICAL SIGNALS -- A.1. Fourier Transform -- A.2. Hilbert Transform -- A.3. Analytical Signals -- References -- Index.".
- 00040355 extent "viii, 713 p. :".
- 00040355 identifier "0521366712".
- 00040355 identifier 00040355.html.
- 00040355 identifier 00040355.html.
- 00040355 issued "2001".
- 00040355 issued "2001.".
- 00040355 language "eng".
- 00040355 publisher "Cambridge, U.K. ; New York : Cambridge University Press,".
- 00040355 subject "551.22/01/5118 21".
- 00040355 subject "QE538.5 .C465 2001".
- 00040355 subject "Seismic waves Mathematical models.".
- 00040355 tableOfContents "Machine generated contents note: INTRODUCTION -- 2 THE ELASTODYNAMIC EQUATION AND ITS SIMPLE SOLUTIONS -- 2.1. Linear Elastodynamics -- 2.2. Elastic Plane Waves -- 2.3. Elastic Plane Waves Across a Plane Interface -- 2.4. High-Frequency Elastic Waves in Smoothly Inhomogeneous Media -- 2.5. Point-Source Solutions. Green Functions -- 2.6. Application of Green Functions to the Construction -- of More General Solutions -- 3 SEISMIC RAYS AND TRAVEL TIMES -- 3.1. Ray Tracing Systems in Inhomogeneous Isotropic Media -- 3.2. Rays in Laterally Varying Layered Structures -- 3.3. Ray Tracing -- 3.4. Analytical Ray Tracing -- 3.5. Ray Tracing in Curvilinear Coordinates -- 3.6. Ray Tracing in Inhomogeneous Anisotropic Media -- 3.7. Ray Tracing and Travel-Time Computations in 1-D Models -- 3.8. Direct Computation of Travel Times and/or Wavefronts -- 3.9. Perturbation Methods for Travel Times -- 3.10. Ray Fields -- 3.11. Boundary-Value Ray Tracing -- 3.12. Surface-Wave Ray Tracing -- 4 DYNAMIC RAY TRACING. PARAXIAL RAY METHODS -- 4.1. Dynamic Ray Tracing in Ray-Centered Coordinates -- 4.2. Hamiltonian Approach to Dynamic Ray Tracing -- 4.3. Propagator Matrices of Dynamic Ray Tracing Systems -- 4.4. Dynamic Ray Tracing in Isotropic Layered Media -- 4.5. Initial Conditions for Dynamic Ray Tracing -- 4.6. Paraxial Travel-Time Field and Its Derivatives -- 4.7. Dynamic Ray Tracing in Cartesian Coordinates -- 4.8. Special Cases. Analytical Dynamic Ray Tracing -- 4.9. Boundary-Value Ray Tracing for Paraxial Rays -- 4.10. Geometrical Spreading in a Layered Medium -- 4.11. Fresnel Volumes -- 4.12. Phase Shift Due to Caustics. KMAH Index -- 4.13. Dynamic Ray Tracing Along a Planar Ray. 2-D Models -- 4.14. Dynamic Ray Tracing in Inhomogeneous Anisotropic Media -- 5 RAY AMPLITUDES -- 5.1. Acoustic Case -- 5.2. Elastic Isotropic Structures -- 5.3. Reflection/Transmission Coefficients for Elastic Isotropic Media -- 5.4. Elastic Anisotropic Structures -- 5.5. Weakly Dissipative Media -- 5.6. Ray Series Method. Acoustic Case -- 5.7. Ray-Series Method. Elastic Case -- 5.8. Paraxial Displacement Vector. Paraxial Gaussian Beams -- 5.9. Validity Conditions and Extensions of the Ray Method -- 6 RAY SYNTHETIC SEISMOGRAMS -- 6.1. Elementary Ray Synthetic Seismograms -- 6.2. Ray Synthetic Seismograms -- 6.3. Ray Synthetic Seismograms in Weakly Dissipative Media -- 6.4. Ray Synthetic Particle Ground Motions -- APPENDIX A FOURIER TRANSFORM, HILBERT TRANSFORM, -- AND ANALYTICAL SIGNALS -- A.1. Fourier Transform -- A.2. Hilbert Transform -- A.3. Analytical Signals -- References -- Index.".
- 00040355 title "Seismic ray theory / V. Cerveny.".
- 00040355 type "text".