Localized waves [[electronic resource] /] / edited by Hugo E. Hernández-Figueroa, Michel Zamboni-Rached, Erasmo Recami
| Localized waves [[electronic resource] /] / edited by Hugo E. Hernández-Figueroa, Michel Zamboni-Rached, Erasmo Recami |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, : IEEE Press, c2008 |
| Descrizione fisica | 1 online resource (394 p.) |
| Disciplina |
532.0593
532/.0593 |
| Altri autori (Persone) |
Hernández-FigueroaHugo E
Zamboni-RachedMichel RecamiErasmo |
| Collana | Wiley series in microwave and optical engineering |
| Soggetto topico | Localized waves - Research |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-20370-X
9786611203702 0-470-16898-6 0-470-16897-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Localized Waves; Contents; CONTRIBUTORS; PREFACE; Acknowledgments; 1 Localized Waves: A Historical and Scientific Introduction; 1.1 General Introduction; 1.2 More Detailed Information; 1.2.1 Localized Solutions; Appendix: Theoretical and Experimental History; Historical Recollections: Theory; X-Shaped Field Associated with a Superluminal Charge; A Glance at the Experimental State of the Art; References; 2 Structure of Nondiffracting Waves and Some Interesting Applications; 2.1 Introduction; 2.2 Spectral Structure of Localized Waves; 2.2.1 Generalized Bidirectional Decomposition
2.3 Space-Time Focusing of X-Shaped Pulses2.3.1 Focusing Effects Using Ordinary X-Waves; 2.4 Chirped Optical X-Type Pulses in Material Media; 2.4.1 Example: Chirped Optical X-Type Pulse in Bulk Fused Silica; 2.5 Modeling the Shape of Stationary Wave Fields: Frozen Waves; 2.5.1 Stationary Wave Fields with Arbitrary Longitudinal Shape in Lossless Media Obtained by Superposing Equal-Frequency Bessel Beams; 2.5.2 Stationary Wave Fields with Arbitrary Longitudinal Shape in Absorbing Media: Extending the Method; References 3 Two Hybrid Spectral Representations and Their Applications to the Derivations of Finite-Energy Localized Waves and Pulsed Beams3.1 Introduction; 3.2 Overview of Bidirectional and Superluminal Spectral Representations; 3.2.1 Bidirectional Spectral Representation; 3.2.2 Superluminal Spectral Representation; 3.3 Hybrid Spectral Representation and Its Application to the Derivation of Finite-Energy X-Shaped Localized Waves; 3.3.1 Hybrid Spectral Representation; 3.3.2 (3 + 1)-Dimensional Focus X-Wave; 3.3.3 (3 + 1)-Dimensional Finite-Energy X-Shaped Localized Waves 3.4 Modified Hybrid Spectral Representation and Its Application to the Derivation of Finite-Energy Pulsed Beams3.4.1 Modified Hybrid Spectral Representation; 3.4.2 (3 + 1)-Dimensional Splash Modes and Focused Pulsed Beams; 3.5 Conclusions; References; 4 Ultrasonic Imaging with Limited-Diffraction Beams; 4.1 Introduction; 4.2 Fundamentals of Limited-Diffraction Beams; 4.2.1 Bessel Beams; 4.2.2 Nonlinear Bessel Beams; 4.2.3 Frozen Waves; 4.2.4 X-Waves; 4.2.5 Obtaining Limited-Diffraction Beams with Variable Transformation; 4.2.6 Limited-Diffraction Solutions to the Klein-Gordon Equation 4.2.7 Limited-Diffraction Solutions to the Schrödinger Equation4.2.8 Electromagnetic X-Waves; 4.2.9 Limited-Diffraction Beams in Confined Spaces; 4.2.10 X-Wave Transformation; 4.2.11 Bowtie Limited-Diffraction Beams; 4.2.12 Limited-Diffraction Array Beams; 4.2.13 Computation with Limited-Diffraction Beams; 4.3 Applications of Limited-Diffraction Beams; 4.3.1 Medical Ultrasound Imaging; 4.3.2 Tissue Characterization (Identification); 4.3.3 High-Frame-Rate Imaging; 4.3.4 Two-Way Dynamic Focusing; 4.3.5 Medical Blood-Flow Measurements; 4.3.6 Nondestructive Evaluation of Materials 4.3.7 Optical Coherent Tomography |
| Record Nr. | UNINA-9910144575703321 |
| Hoboken, N.J., : Wiley-Interscience, : IEEE Press, c2008 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Localized waves [[electronic resource] /] / edited by Hugo E. Hernández-Figueroa, Michel Zamboni-Rached, Erasmo Recami
| Localized waves [[electronic resource] /] / edited by Hugo E. Hernández-Figueroa, Michel Zamboni-Rached, Erasmo Recami |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, : IEEE Press, c2008 |
| Descrizione fisica | 1 online resource (394 p.) |
| Disciplina |
532.0593
532/.0593 |
| Altri autori (Persone) |
Hernández-FigueroaHugo E
Zamboni-RachedMichel RecamiErasmo |
| Collana | Wiley series in microwave and optical engineering |
| Soggetto topico | Localized waves - Research |
| ISBN |
1-281-20370-X
9786611203702 0-470-16898-6 0-470-16897-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Localized Waves; Contents; CONTRIBUTORS; PREFACE; Acknowledgments; 1 Localized Waves: A Historical and Scientific Introduction; 1.1 General Introduction; 1.2 More Detailed Information; 1.2.1 Localized Solutions; Appendix: Theoretical and Experimental History; Historical Recollections: Theory; X-Shaped Field Associated with a Superluminal Charge; A Glance at the Experimental State of the Art; References; 2 Structure of Nondiffracting Waves and Some Interesting Applications; 2.1 Introduction; 2.2 Spectral Structure of Localized Waves; 2.2.1 Generalized Bidirectional Decomposition
2.3 Space-Time Focusing of X-Shaped Pulses2.3.1 Focusing Effects Using Ordinary X-Waves; 2.4 Chirped Optical X-Type Pulses in Material Media; 2.4.1 Example: Chirped Optical X-Type Pulse in Bulk Fused Silica; 2.5 Modeling the Shape of Stationary Wave Fields: Frozen Waves; 2.5.1 Stationary Wave Fields with Arbitrary Longitudinal Shape in Lossless Media Obtained by Superposing Equal-Frequency Bessel Beams; 2.5.2 Stationary Wave Fields with Arbitrary Longitudinal Shape in Absorbing Media: Extending the Method; References 3 Two Hybrid Spectral Representations and Their Applications to the Derivations of Finite-Energy Localized Waves and Pulsed Beams3.1 Introduction; 3.2 Overview of Bidirectional and Superluminal Spectral Representations; 3.2.1 Bidirectional Spectral Representation; 3.2.2 Superluminal Spectral Representation; 3.3 Hybrid Spectral Representation and Its Application to the Derivation of Finite-Energy X-Shaped Localized Waves; 3.3.1 Hybrid Spectral Representation; 3.3.2 (3 + 1)-Dimensional Focus X-Wave; 3.3.3 (3 + 1)-Dimensional Finite-Energy X-Shaped Localized Waves 3.4 Modified Hybrid Spectral Representation and Its Application to the Derivation of Finite-Energy Pulsed Beams3.4.1 Modified Hybrid Spectral Representation; 3.4.2 (3 + 1)-Dimensional Splash Modes and Focused Pulsed Beams; 3.5 Conclusions; References; 4 Ultrasonic Imaging with Limited-Diffraction Beams; 4.1 Introduction; 4.2 Fundamentals of Limited-Diffraction Beams; 4.2.1 Bessel Beams; 4.2.2 Nonlinear Bessel Beams; 4.2.3 Frozen Waves; 4.2.4 X-Waves; 4.2.5 Obtaining Limited-Diffraction Beams with Variable Transformation; 4.2.6 Limited-Diffraction Solutions to the Klein-Gordon Equation 4.2.7 Limited-Diffraction Solutions to the Schrödinger Equation4.2.8 Electromagnetic X-Waves; 4.2.9 Limited-Diffraction Beams in Confined Spaces; 4.2.10 X-Wave Transformation; 4.2.11 Bowtie Limited-Diffraction Beams; 4.2.12 Limited-Diffraction Array Beams; 4.2.13 Computation with Limited-Diffraction Beams; 4.3 Applications of Limited-Diffraction Beams; 4.3.1 Medical Ultrasound Imaging; 4.3.2 Tissue Characterization (Identification); 4.3.3 High-Frame-Rate Imaging; 4.3.4 Two-Way Dynamic Focusing; 4.3.5 Medical Blood-Flow Measurements; 4.3.6 Nondestructive Evaluation of Materials 4.3.7 Optical Coherent Tomography |
| Record Nr. | UNINA-9910830496603321 |
| Hoboken, N.J., : Wiley-Interscience, : IEEE Press, c2008 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Localized waves / / edited by Hugo E. Hernandez-Figueroa, Michel Zamboni-Rached, Erasmo Recami
| Localized waves / / edited by Hugo E. Hernandez-Figueroa, Michel Zamboni-Rached, Erasmo Recami |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, : IEEE Press, c2008 |
| Descrizione fisica | 1 online resource (394 p.) |
| Disciplina | 532/.0593 |
| Altri autori (Persone) |
Hernández-FigueroaHugo E
Zamboni-RachedMichel RecamiErasmo |
| Collana | Wiley series in microwave and optical engineering |
| Soggetto topico | Localized waves - Research |
| ISBN |
9786611203702
9781281203700 128120370X 9780470168981 0470168986 9780470168974 0470168978 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Localized Waves; Contents; CONTRIBUTORS; PREFACE; Acknowledgments; 1 Localized Waves: A Historical and Scientific Introduction; 1.1 General Introduction; 1.2 More Detailed Information; 1.2.1 Localized Solutions; Appendix: Theoretical and Experimental History; Historical Recollections: Theory; X-Shaped Field Associated with a Superluminal Charge; A Glance at the Experimental State of the Art; References; 2 Structure of Nondiffracting Waves and Some Interesting Applications; 2.1 Introduction; 2.2 Spectral Structure of Localized Waves; 2.2.1 Generalized Bidirectional Decomposition
2.3 Space-Time Focusing of X-Shaped Pulses2.3.1 Focusing Effects Using Ordinary X-Waves; 2.4 Chirped Optical X-Type Pulses in Material Media; 2.4.1 Example: Chirped Optical X-Type Pulse in Bulk Fused Silica; 2.5 Modeling the Shape of Stationary Wave Fields: Frozen Waves; 2.5.1 Stationary Wave Fields with Arbitrary Longitudinal Shape in Lossless Media Obtained by Superposing Equal-Frequency Bessel Beams; 2.5.2 Stationary Wave Fields with Arbitrary Longitudinal Shape in Absorbing Media: Extending the Method; References 3 Two Hybrid Spectral Representations and Their Applications to the Derivations of Finite-Energy Localized Waves and Pulsed Beams3.1 Introduction; 3.2 Overview of Bidirectional and Superluminal Spectral Representations; 3.2.1 Bidirectional Spectral Representation; 3.2.2 Superluminal Spectral Representation; 3.3 Hybrid Spectral Representation and Its Application to the Derivation of Finite-Energy X-Shaped Localized Waves; 3.3.1 Hybrid Spectral Representation; 3.3.2 (3 + 1)-Dimensional Focus X-Wave; 3.3.3 (3 + 1)-Dimensional Finite-Energy X-Shaped Localized Waves 3.4 Modified Hybrid Spectral Representation and Its Application to the Derivation of Finite-Energy Pulsed Beams3.4.1 Modified Hybrid Spectral Representation; 3.4.2 (3 + 1)-Dimensional Splash Modes and Focused Pulsed Beams; 3.5 Conclusions; References; 4 Ultrasonic Imaging with Limited-Diffraction Beams; 4.1 Introduction; 4.2 Fundamentals of Limited-Diffraction Beams; 4.2.1 Bessel Beams; 4.2.2 Nonlinear Bessel Beams; 4.2.3 Frozen Waves; 4.2.4 X-Waves; 4.2.5 Obtaining Limited-Diffraction Beams with Variable Transformation; 4.2.6 Limited-Diffraction Solutions to the Klein-Gordon Equation 4.2.7 Limited-Diffraction Solutions to the Schrödinger Equation4.2.8 Electromagnetic X-Waves; 4.2.9 Limited-Diffraction Beams in Confined Spaces; 4.2.10 X-Wave Transformation; 4.2.11 Bowtie Limited-Diffraction Beams; 4.2.12 Limited-Diffraction Array Beams; 4.2.13 Computation with Limited-Diffraction Beams; 4.3 Applications of Limited-Diffraction Beams; 4.3.1 Medical Ultrasound Imaging; 4.3.2 Tissue Characterization (Identification); 4.3.3 High-Frame-Rate Imaging; 4.3.4 Two-Way Dynamic Focusing; 4.3.5 Medical Blood-Flow Measurements; 4.3.6 Nondestructive Evaluation of Materials 4.3.7 Optical Coherent Tomography |
| Record Nr. | UNINA-9911019487503321 |
| Hoboken, N.J., : Wiley-Interscience, : IEEE Press, c2008 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The stability of multi-dimensional shock fronts / / Andrew Majda
| The stability of multi-dimensional shock fronts / / Andrew Majda |
| Autore | Majda Andrew <1949-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (101 p.) |
| Disciplina |
510 s
532/.0593 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Shock waves
Differential equations, Hyperbolic - Numerical solutions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0685-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""Â1. INTRODUCTION""; ""Â2. THE LINEARIZATION OF A CURVED SHOCK FRONT: THE MAIN THEOREMS FOR VARIABLE COEFFICIENTS""; ""Â3. A GENERAL DISCUSSION OF THE UNIFORM STABILITY CONDITIONS AND THE PHYSICAL EQUATIONS OF COMPRESSIBLE FLUID FLOW""; ""3.A Conservation Laws in a Single Space Variable and Lax's Shock Inequalities""; ""3.B Some Theoretical Remarks on Uniform Stability""; ""3.C Uniformly Stable Shock Fronts for Isentropic Gas Dynamics in Two Space Dimensions â€?â€? the Proof of Proposition 2""
""3.D The Uniform Stability of Shock Fronts for the Euler Equations of Gas Dynamics in Three Dimensions""""Â4. THE BASIC VARIABLE COEFFICIENT ESTIMATE""; ""Â5. THE EXISTENCE AND DIFFERENTIABILITY OF SOLUTIONS""; ""APPENDIX A. PSEUDOâ€?DIFFERENTIAL OPERATORS WITH SOBOLEV SPACE COEFFICEINTS: THE PROOF OF LEMMA 4.2""; ""APPENDIX B. KREISS' SYMMETRIZER AND SOBOLEV SPACE PARAMETERS: LEMMA 4. 3""; ""BIBLIOGRAPHY"" |
| Record Nr. | UNINA-9910480727503321 |
Majda Andrew <1949->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The stability of multi-dimensional shock fronts / / Andrew Majda
| The stability of multi-dimensional shock fronts / / Andrew Majda |
| Autore | Majda Andrew <1949-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (101 p.) |
| Disciplina |
510 s
532/.0593 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Shock waves
Differential equations, Hyperbolic - Numerical solutions |
| ISBN | 1-4704-0685-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""Â1. INTRODUCTION""; ""Â2. THE LINEARIZATION OF A CURVED SHOCK FRONT: THE MAIN THEOREMS FOR VARIABLE COEFFICIENTS""; ""Â3. A GENERAL DISCUSSION OF THE UNIFORM STABILITY CONDITIONS AND THE PHYSICAL EQUATIONS OF COMPRESSIBLE FLUID FLOW""; ""3.A Conservation Laws in a Single Space Variable and Lax's Shock Inequalities""; ""3.B Some Theoretical Remarks on Uniform Stability""; ""3.C Uniformly Stable Shock Fronts for Isentropic Gas Dynamics in Two Space Dimensions â€?â€? the Proof of Proposition 2""
""3.D The Uniform Stability of Shock Fronts for the Euler Equations of Gas Dynamics in Three Dimensions""""Â4. THE BASIC VARIABLE COEFFICIENT ESTIMATE""; ""Â5. THE EXISTENCE AND DIFFERENTIABILITY OF SOLUTIONS""; ""APPENDIX A. PSEUDOâ€?DIFFERENTIAL OPERATORS WITH SOBOLEV SPACE COEFFICEINTS: THE PROOF OF LEMMA 4.2""; ""APPENDIX B. KREISS' SYMMETRIZER AND SOBOLEV SPACE PARAMETERS: LEMMA 4. 3""; ""BIBLIOGRAPHY"" |
| Record Nr. | UNINA-9910788898303321 |
Majda Andrew <1949->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The stability of multi-dimensional shock fronts / / Andrew Majda
| The stability of multi-dimensional shock fronts / / Andrew Majda |
| Autore | Majda Andrew <1949-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (101 p.) |
| Disciplina |
510 s
532/.0593 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Shock waves
Differential equations, Hyperbolic - Numerical solutions |
| ISBN | 1-4704-0685-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""Â1. INTRODUCTION""; ""Â2. THE LINEARIZATION OF A CURVED SHOCK FRONT: THE MAIN THEOREMS FOR VARIABLE COEFFICIENTS""; ""Â3. A GENERAL DISCUSSION OF THE UNIFORM STABILITY CONDITIONS AND THE PHYSICAL EQUATIONS OF COMPRESSIBLE FLUID FLOW""; ""3.A Conservation Laws in a Single Space Variable and Lax's Shock Inequalities""; ""3.B Some Theoretical Remarks on Uniform Stability""; ""3.C Uniformly Stable Shock Fronts for Isentropic Gas Dynamics in Two Space Dimensions â€?â€? the Proof of Proposition 2""
""3.D The Uniform Stability of Shock Fronts for the Euler Equations of Gas Dynamics in Three Dimensions""""Â4. THE BASIC VARIABLE COEFFICIENT ESTIMATE""; ""Â5. THE EXISTENCE AND DIFFERENTIABILITY OF SOLUTIONS""; ""APPENDIX A. PSEUDOâ€?DIFFERENTIAL OPERATORS WITH SOBOLEV SPACE COEFFICEINTS: THE PROOF OF LEMMA 4.2""; ""APPENDIX B. KREISS' SYMMETRIZER AND SOBOLEV SPACE PARAMETERS: LEMMA 4. 3""; ""BIBLIOGRAPHY"" |
| Record Nr. | UNINA-9910828918303321 |
Majda Andrew <1949->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||