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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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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) Hernandez-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-9910876907403321
Hoboken, N.J., : Wiley-Interscience, : IEEE Press, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui