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Format: 1 online resource (810 pages)

Edition: 2nd ed

ISBN: 9783030206925

Series Statement: Springer Series in Optical Sciences Ser. v.225

Content: This heavily-illustrated text presents a systematic treatment of the radiation and propagation of transient electromagnetic and optical wave fields through causal, locally linear media which exhibit both temporal dispersion and absorption

Note: Description based on publisher supplied metadata and other sources , Intro -- Preface to the Second Revised Edition -- Preface to the First Edition -- Contents - Volume II -- Contents - Volume I -- 10 Asymptotic Methods of Analysis Using Advanced Saddle Point Techniques -- 10.1 Olver's Saddle Point Method -- 10.1.1 Peak Value of the Integrand at the Endpoint of Integration -- 10.1.2 Peak Value of the Integrand at an Interior Point of the Path of Integration -- 10.1.3 The Application of Olver's Saddle Point Method -- 10.2 Uniform Asymptotic Expansion for Two Mirror Image First-Order Saddle Points at Infinity -- 10.3 Uniform Asymptotic Expansion for Two First-Order Saddle Points -- 10.3.1 The Uniform Asymptotic Expansion for Two Isolated First-Order Saddle Points -- 10.3.2 The Uniform Asymptotic Expansion for Two Neighboring First-Order Saddle Points -- 10.3.3 The Transitional Asymptotic Approximation for Two Neighboring First-Order Saddle Points -- 10.4 Uniform Asymptotic Expansion for a First-Order Saddle Point and a Simple Pole Singularity -- 10.4.1 The Complementary Error Function -- 10.4.2 Asymptotic Behavior for a Single Interacting Saddle Point -- 10.4.3 Asymptotic Behavior for Two Isolated Interacting Saddle Points -- 10.5 Asymptotic Expansions of Multiple Integrals -- 10.5.1 Absolute Maximum in the Interior of the Closure of Dξ -- 10.5.2 Absolute Maximum on the Boundary of the Closure of Dξ -- 10.6 Summary -- Problems -- References -- 11 The Group Velocity Approximation -- 11.1 Historical Introduction -- 11.2 The Pulsed Plane Wave Electromagnetic Field -- 11.2.1 The Delta Function Pulse and the Impulse Response of the Medium -- 11.2.2 The Heaviside Unit Step Function Signal -- 11.2.3 The Double Exponential Pulse -- 11.2.4 The Rectangular Pulse Envelope Modulated Signal -- 11.2.5 The Trapezoidal Pulse Envelope Modulated Signal -- 11.2.6 The Hyperbolic Tangent Envelope Modulated Signal , 11.2.7 The Van Bladel Envelope Modulated Pulse -- 11.2.8 The Gaussian Envelope Modulated Pulse -- 11.3 Wave Equations in a Simple Dispersive Medium and the Slowly-Varying Envelope Approximation -- 11.3.1 The Dispersive Wave Equations -- 11.3.2 The Slowly-Varying Envelope Approximation -- 11.3.3 Dispersive Wave Equations for the Slowly-Varying Wave Amplitude and Phase -- 11.3.3.1 Induced Polarization Density Approach -- 11.3.3.2 Electric Displacement Field Approach -- 11.4 The Classical Group Velocity Approximation -- 11.4.1 Linear Dispersion Approximation -- 11.4.2 Quadratic Dispersion Approximation -- 11.5 Failure of the Classical Group Velocity Method -- 11.5.1 Impulse Response of a Double-Resonance Lorentz Model Dielectric -- 11.5.2 Heaviside Unit Step Function Signal Evolution -- 11.5.3 Rectangular Envelope Pulse Evolution -- 11.5.4 Van Bladel Envelope Pulse Evolution -- 11.5.5 Concluding Remarks on the Slowly-Varying- Envelope (SVE) and Classical Group Velocity Approximations -- 11.6 Extensions of the Group Velocity Method -- 11.7 Localized Pulsed-Beam Propagation -- 11.7.1 Mathematical Preliminaries -- 11.7.2 Paraxial Asymptotics -- 11.7.2.1 Pulsed Beam Evolution in the Nondispersive Case -- 11.7.2.2 Pulsed Beam Evolution in the Lossless Dispersive Case -- 11.8 The Necessity of an Asymptotic Description -- Problems -- References -- 12 Analysis of the Phase Function and Its Saddle Points -- 12.1 General Saddle Point Dynamics for Causally Dispersive Dielectrics -- 12.1.1 The Region About the Origin (|ω| ω0) -- 12.1.1.1 Case 1: The Lorentz-Type Dielectric (α1 > -- 0) -- 12.1.1.2 Case 2: The Debye-Type Dielectric (α1 < -- 0) -- 12.1.1.3 Case 3: The Transition-Type Dielectric (α1 = 0) -- 12.1.2 The Region About Infinity (|ω| ωm) -- 12.1.2.1 Case 1: The Debye-Type Dielectric (b0 =0) -- 12.1.2.2 Case 2: The Lorentz-Type Dielectric (b0 = 0) , 12.1.3 Summary -- 12.2 The Behavior of the Phase in the Complex ω-Plane for Causally Dispersive Materials -- 12.2.1 Single-Resonance Lorentz Model Dielectrics -- 12.2.1.1 Behavior Along the Real ω'-Axis -- 12.2.1.2 Limiting Behavior as |ω| →∞ -- 12.2.1.3 Behavior Along the Line ω'' = -δ -- 12.2.1.4 Behavior in the Vicinity of the Branch Points -- 12.2.1.5 Numerical Results -- 12.2.2 Multiple-Resonance Lorentz Model Dielectrics -- 12.2.2.1 Case 1: θp < -- θ0 -- 12.2.2.2 Case 2: θp > -- θ0 -- 12.2.3 Rocard-Powles-Debye Model Dielectrics -- 12.2.3.1 Behavior Along the Real ω'-Axis -- 12.2.3.2 Limiting Behavior as |ω| →∞ -- 12.2.3.3 Behavior Along the Imaginary Axis -- 12.2.3.4 Behavior in the Vicinity of the Branch Points -- 12.2.3.5 Numerical Results -- 12.2.4 Drude Model Conductors -- 12.2.4.1 Behavior Along the Real ω'-Axis -- 12.2.4.2 Limiting Behavior as |ω| →∞ -- 12.2.4.3 Behavior in the Vicinity of the Branch Points -- 12.2.4.4 Numerical Results -- 12.3 The Location of the Saddle Points and the Approximation of the Phase -- 12.3.1 Single Resonance Lorentz Model Dielectrics -- 12.3.1.1 The Region Removed from the Origin (|ω| ≥ω1) -- 12.3.1.2 The Region About the Origin (|ω| ≤ω0) -- 12.3.1.3 Determination of the Dominant Saddle Points -- 12.3.1.4 Comparison with Numerical Results -- 12.3.2 Multiple Resonance Lorentz Model Dielectrics -- 12.3.2.1 The Region Above the Upper Resonance Line (|ω| ≥ω3) -- 12.3.2.2 The Region Below the Lower Resonance Line (|ω| ≤ω0) -- 12.3.2.3 The Region Between the Upper and Lower Resonance Lines (ω0 < -- |ω| < -- ω3) -- 12.3.2.4 Determination of the Dominant Saddle Points -- 12.3.3 Rocard-Powles-Debye Model Dielectrics -- 12.3.4 Drude Model Conductors -- 12.3.4.1 The Region Removed from the Origin (|ω| ≥|ωz|) -- 12.3.4.2 The Region About the Origin (|ω| ≤|ωz|) -- 12.3.5 Semiconducting Materials , 12.4 Procedure for the Asymptotic Analysis of the Propagated Field -- 12.5 Synopsis -- Problems -- References -- 13 Evolution of the Precursor Fields -- 13.1 The Field Behavior for θ< -- 1 -- 13.2 The Sommerfeld Precursor Field -- 13.2.1 The Nonuniform Approximation -- 13.2.1.1 The Single Resonance Case -- 13.2.1.2 The Double Resonance Case -- 13.2.2 The Uniform Approximation -- 13.2.2.1 The Single Resonance Case -- 13.2.2.2 The Double Resonance Case -- 13.2.3 Field Behavior at the Wave-Front -- 13.2.4 The Instantaneous Oscillation Frequency -- 13.2.5 The Delta Function Pulse Sommerfeld Precursor -- 13.2.6 The Heaviside Step Function Pulse Sommerfeld Precursor -- 13.3 The Brillouin Precursor Field in Lorentz Model Dielectrics -- 13.3.1 The Nonuniform Approximation -- 13.3.1.1 Case 1: 1 < -- θ< -- θ1 -- 13.3.1.2 Case 2: θ= θ1 -- 13.3.1.3 Case 3: θ> -- θ1 -- 13.3.2 The Uniform Approximation -- 13.3.3 The Instantaneous Oscillation Frequency -- 13.3.4 The Delta Function Pulse Brillouin Precursor -- 13.3.5 The Heaviside Step Function Pulse Brillouin Precursor -- 13.4 The Brillouin Precursor Field in Debye Model Dielectrics -- 13.5 The Middle Precursor Field -- 13.6 Impulse Response of Causally Dispersive Materials -- 13.7 The Effects of Spatial Dispersion on Precursor Field Formation -- Problems -- References -- 14 Evolution of the Signal -- 14.1 The Nonuniform Asymptotic Approximation -- 14.2 Rocard-Powles-Debye Model Dielectrics -- 14.3 The Uniform Asymptotic Approximation -- 14.4 Single Resonance Lorentz Model Dielectrics -- 14.4.1 Frequencies Below the Absorption Band -- 14.4.2 Frequencies Above the Absorption Band -- 14.4.3 Frequencies Within the Absorption Band -- 14.4.4 The Heaviside Unit Step Function Signal -- 14.5 Multiple Resonance Lorentz Model Dielectrics -- 14.6 Drude Model Conductors -- Problems -- References , 15 Continuous Evolution of the Total Field -- 15.1 The Total Precursor Field -- 15.2 Resonance Peaks of the Precursors and the Signal Contribution -- 15.3 The Signal Arrival and the Signal Velocity -- 15.3.1 Transition from the Precursor Field to the Signal -- 15.3.2 The Signal Velocity -- 15.3.2.1 Signal Velocity in Single Resonance Lorentz Model Dielectrics -- 15.3.2.2 Signal Velocity in Multiple Resonance Lorentz Model Dielectrics -- 15.3.2.3 Signal Velocity in Drude Model Conductors -- 15.3.2.4 Signal Velocity in Rocard-Powles-Debye Model Dielectrics -- 15.4 Comparison of the Signal Velocity with the Phase, Group, and Energy Velocities -- 15.5 The Heaviside Step-Function Modulated Signal -- 15.5.1 Signal Propagation in a Single Resonance Lorentz Model Dielectric -- 15.5.2 Signal Propagation in a Double Resonance Lorentz Model Dielectric -- 15.5.3 Signal Propagation in a Drude Model Conductor -- 15.5.4 Signal Propagation in a Rocard-Powles-Debye Model Dielectric -- 15.5.5 Signal Propagation Along a Dispersive μStrip Transmission Line -- 15.6 The Rectangular Pulse Envelope Modulated Signal -- 15.6.1 Rectangular Envelope Pulse Propagation in a Single Resonance Lorentz Model Dielectric -- 15.6.2 Rectangular Envelope Pulse Propagation in a Rocard- Powles-Debye Model Dielectric -- 15.6.3 Rectangular Envelope Pulse Propagation in H2O -- 15.6.4 Rectangular Envelope Pulse Propagation in Salt-Water -- 15.7 Non-instantaneous Rise-Time Signals -- 15.7.1 Hyperbolic Tangent Envelope Signal Propagation in a Single Resonance Lorentz Model Dielectric -- 15.7.2 Raised Cosine Envelope Signal Propagation in a Single Resonance Lorentz Model Dielectric -- 15.7.3 Trapezoidal Envelope Pulse Propagation in a Rocard- Powles-Debye Model Dielectric -- 15.8 Infinitely Smooth Envelope Pulses , 15.8.1 Gaussian Envelope Pulse Propagation in a Single Resonance Lorentz Model Dielectric

Additional Edition: Erscheint auch als Druck-Ausgabe Oughstun, Kurt E. Electromagnetic and Optical Pulse Propagation Cham : Springer International Publishing AG,c2019 ISBN 9783030206918

Language: English

UID:

Format: 1 Online-Ressource (XXV, 794 Seiten)

Edition: Second edition

ISBN: 9783030206925

Series Statement: Springer Series in Optical Sciences volume 225

Content: Preface to the Second Revised Edition -- Preface -- Chapter 10: Asymptotic Methods of Analysis using Advanced Saddle Point Techniques -- Chapter 11: The Group Velocity Approximation -- Chapter 12: Analysis of the Phase Function and Its Saddle Points -- Chapter 13: Evolution of the Precursor Fields -- Chapter 14: Evolution of the Signal -- Chapter 15: Continuous Evolution of the Total Field -- Chapter 16: Physical Interpretations of Dispersive Pulse Dynamics -- Chapter 17: Applications -- Appendix: Asymptotic Expansion of Single Integrals -- Index

Content: In two volumes, this book presents a detailed, systematic treatment of electromagnetics with application to the propagation of transient electromagnetic fields (including ultrawideband signals and ultrashort pulses) in dispersive attenuative media. The development in this expanded, updated, and reorganized new edition is mathematically rigorous, progressing from classical theory to the asymptotic description of pulsed wave fields in Debye and Lorentz model dielectrics, Drude model conductors, and composite model semiconductors. It will be of use to researchers as a resource on electromagnetic radiation and wave propagation theory with applications to ground and foliage penetrating radar, medical imaging, communications, and safety issues associated with ultrawideband pulsed fields. With meaningful exercises, and an authoritative selection of topics, it can also be used as a textbook to prepare graduate students for research. Volume 2 presents a detailed asymptotic description of plane wave pulse propagation in dielectric, conducting, and semiconducting materials as described by the classical Lorentz model of dielectric resonance, the Rocard-Powles-Debye model of orientational polarization, and the Drude model of metals. The rigorous description of the signal velocity of a pulse in a dispersive material is presented in connection with the question of superluminal pulse propagation. The second edition contains new material on the effects of spatial dispersion on precursor formation, and pulse transmission into a dispersive half space and into multilayered media. Volume 1 covers spectral representations in temporally dispersive media

Additional Edition: ISBN 9783030206918

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-030-20691-8

Language: English

Keywords: Elektromagnetischer Impuls ; Optische Strahlung ; Wellenausbreitung ; Dispersion

DOI: 10.1007/978-3-030-20692-5

URL: lizenzpflichtig

URL: Inhaltstext

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Format: XXV, 794 p. 339 illus., 38 illus. in color. , online resource.

Edition: 2nd ed. 2019.

ISBN: 9783030206925

Series Statement: Springer Series in Optical Sciences, 225

Content: In two volumes, this book presents a detailed, systematic treatment of electromagnetics with application to the propagation of transient electromagnetic fields (including ultrawideband signals and ultrashort pulses) in dispersive attenuative media. The development in this expanded, updated, and reorganized new edition is mathematically rigorous, progressing from classical theory to the asymptotic description of pulsed wave fields in Debye and Lorentz model dielectrics, Drude model conductors, and composite model semiconductors. It will be of use to researchers as a resource on electromagnetic radiation and wave propagation theory with applications to ground and foliage penetrating radar, medical imaging, communications, and safety issues associated with ultrawideband pulsed fields. With meaningful exercises, and an authoritative selection of topics, it can also be used as a textbook to prepare graduate students for research. Volume 2 presents a detailed asymptotic description of plane wave pulse propagation in dielectric, conducting, and semiconducting materials as described by the classical Lorentz model of dielectric resonance, the Rocard-Powles-Debye model of orientational polarization, and the Drude model of metals. The rigorous description of the signal velocity of a pulse in a dispersive material is presented in connection with the question of superluminal pulse propagation. The second edition contains new material on the effects of spatial dispersion on precursor formation, and pulse transmission into a dispersive half space and into multilayered media. Volume 1 covers spectral representations in temporally dispersive media.

Note: Preface to the Second Revised Edition -- Preface -- Chapter 10: Asymptotic Methods of Analysis using Advanced Saddle Point Techniques -- Chapter 11: The Group Velocity Approximation -- Chapter 12: Analysis of the Phase Function and Its Saddle Points -- Chapter 13: Evolution of the Precursor Fields -- Chapter 14: Evolution of the Signal -- Chapter 15: Continuous Evolution of the Total Field -- Chapter 16: Physical Interpretations of Dispersive Pulse Dynamics -- Chapter 17: Applications -- Appendix: Asymptotic Expansion of Single Integrals -- Index.

In: Springer eBooks

Additional Edition: Printed edition: ISBN 9783030206918

Additional Edition: Printed edition: ISBN 9783030206932

Additional Edition: Printed edition: ISBN 9783030206949

Language: English

DOI: 10.1007/978-3-030-20692-5

URL: https://doi.org/10.1007/978-3-030-20692-5

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Format: xxv, 794 Seiten , Illustrationen, Diagramme

Edition: Second edition

ISBN: 9783030206918 , 9783030206949

Series Statement: Springer series in optical sciences 225

In: 2

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-030-20692-5

Language: English