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The Resource Laser filamentation : mathematical methods and models, Andre D. Bandrauk, Emmanuel Lorin, Jerome V. Moloney, editors
Laser filamentation : mathematical methods and models, Andre D. Bandrauk, Emmanuel Lorin, Jerome V. Moloney, editors
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The item Laser filamentation : mathematical methods and models, Andre D. Bandrauk, Emmanuel Lorin, Jerome V. Moloney, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Laser filamentation : mathematical methods and models, Andre D. Bandrauk, Emmanuel Lorin, Jerome V. Moloney, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book is focused on the nonlinear theoretical and mathematical problems associated with ultrafast intense laser pulse propagation in gases and in particular, in air. With the aim of understanding the physics of filamentation in gases, solids, the atmosphere, and even biological tissue, specialists in nonlinear optics and filamentation from both physics and mathematics attempt to rigorously derive and analyze relevant nonperturbative models. Modern laser technology allows the generation of ultrafast (few cycle) laser pulses, with intensities exceeding the internal electric field in atoms and molecules (E=5x109 V/cm or intensity I = 3.5 x 1016 Watts/cm2). The interaction of such pulses with atoms and molecules leads to new, highly nonlinear nonperturbative regimes, where new physical phenomena, such as High Harmonic Generation (HHG), occur, and from which the shortest (attosecond  the natural time scale of the electron) pulses have been created. One of the major experimental discoveries in this nonlinear nonperturbative regime, Laser Pulse Filamentation, was observed by Mourou and Braun in 1995, as the propagation of pulses over large distances with narrow and intense cones. This observation has led to intensive investigation in physics and applied mathematics of new effects such as selftransformation of these pulses into white light, intensity clamping, and multiple filamentation, as well as to potential applications to wave guide writing, atmospheric remote sensing, lightning guiding, and military longrange weapons. The increasing power of high performance computers and the mathematical modelling and simulation of photonic systems has enabled many new areas of research. With contributions by theorists and mathematicians, supplemented by active experimentalists who are experts in the field of nonlinear laser molecule interaction and propagation, Laser Filamentation sheds new light on scientific and industrial applications of modern lasers
 Language
 eng
 Extent
 1 online resource.
 Note
 Includes index
 Contents

 Preface; Contents; Contributors; Short Pulse Evolution Equation; 1 Introduction; 2 The Nature of SPEE; 3 Derivation of SPEE; 4 Challenges, Questions, and Conclusions; References; Variants of the Focusing NLS Equation: Derivation, Justification, and Open Problems Related to Filamentation; 1 Introduction; 1.1 Models Without Ionization Processes; 1.2 Models with Ionization Processes; 1.3 Notations; 2 The Maxwell Equations and an Abstract Mathematical Formulation; 2.1 The Maxwell Equations; 2.1.1 The Polarization Response to the Electric Field; 2.1.2 The Case with Charge and Current Density
 2.1.3 Ionization Current Density2.2 Abstract Formulations; 2.2.1 The Case Without Charge nor Current Density; 2.2.2 The Case with Charge and Current Density; 2.3 The Cauchy Problem; 3 Derivation of NLSType Equations; 3.1 The Profile Equation; 3.2 The Slowly Varying Envelope Approximation; 3.3 The Full Dispersion Model; 3.4 The NLS Equation; 3.5 The NLS Equation with Improved Dispersion Relation; 3.6 The NLS Equation with Frequency Dependent Polarization; 3.7 Including Ionization Processes; 3.7.1 The Profile Equation; 3.7.2 The Slowly Varying Envelope Approximation
 3.7.3 The NLS Equation with Ionization3.7.4 The Most General Model; 4 Analysis of (3) and (4), and Open Problems; 4.1 The Case of No and Anomalous GVD (Resp. [alpha]_1=0 and [alpha]_1=1); 4.1.1 The Nonlinearity; 4.1.2 Taking the Ionization Process into Account; 4.1.3 The Damping; 4.1.4 OffAxis Variation of the Group Velocity; 4.1.5 Selfsteepening of the Pulse; 4.2 The Case of Normal GVD (i.e., [alpha]_1=1); 4.3 Mixing Several Phenomena; 4.4 The Vectorial Case; 4.5 The Approximation of the Maxwell Equations over Longer Times; Appendix 1: Nondimensionalization of the Equations
 The Case Without Charge nor Current DensityThe Case with Charge and Current Density; Appendix 2: Explicit Computations for Maxwell's Equations; The Case Without Charge nor Current Density; Without Frequency Dependent Polarization; With Frequency Dependent Polarization; The Case with Charge and Current Density; References; Blowing Up Solutions to the Zakharov System for Langmuir Waves; 1 Introduction; 2 The Scalar Zakharov System; 2.1 Blowup in Finite or Infinite Time; 2.2 Selfsimilar Blowing Up Solutions; 2.2.1 Dimension d=2; 2.2.2 Dimension d=3; 2.3 Lower Bounds for Rate of Blowup
 2.3.1 Scale Invariance, Criticality, and Local WellPosedness2.3.2 Finite Energy Solutions: The TwoDimensional Case; 2.3.3 Infinite Energy Solutions; 3 The Vectorial Zakharov System; References; THz Waveforms and Polarization from Laser Induced Plasmas by FewCycle Pulses; 1 Introduction; 2 Generation of CEP Stabilized FewCycle Pulses; 2.1 Optical Parametric Amplifier; 2.2 Pulse Compression; 2.3 CEP Stability; 3 Variation of `3́9`42`""̇613A``45`47`""603ATHz Waves in Air Plasma by FewCycle Pulses; 3.1 Variation of `3́9`42`""̇613A``45`47`""603ATHz Waveform in Air Plasma
 Isbn
 9783319230849
 Label
 Laser filamentation : mathematical methods and models
 Title
 Laser filamentation
 Title remainder
 mathematical methods and models
 Statement of responsibility
 Andre D. Bandrauk, Emmanuel Lorin, Jerome V. Moloney, editors
 Subject

 Applications of Nonlinear Dynamics and Chaos Theory
 Electronic books
 Geographical information systems (GIS) & remote sensing
 Laser pulses, Ultrashort
 Laser pulses, Ultrashort
 Laser technology & holography
 Lasers  Mathematical models
 Lasers  Mathematical models
 Lasers in physics
 Lasers in physics
 Mathematical Physics
 Mathematical physics
 Mathematical physics
 Mathematical physics
 Nonlinear science
 Optics, Lasers, Photonics, Optical Devices
 Photonics
 Photonics
 Physics
 Plasma Physics
 Plasma physics
 Remote Sensing/Photogrammetry
 SCIENCE  Physics  General
 TECHNOLOGY & ENGINEERING  Lasers & Photonics
 Language
 eng
 Summary
 This book is focused on the nonlinear theoretical and mathematical problems associated with ultrafast intense laser pulse propagation in gases and in particular, in air. With the aim of understanding the physics of filamentation in gases, solids, the atmosphere, and even biological tissue, specialists in nonlinear optics and filamentation from both physics and mathematics attempt to rigorously derive and analyze relevant nonperturbative models. Modern laser technology allows the generation of ultrafast (few cycle) laser pulses, with intensities exceeding the internal electric field in atoms and molecules (E=5x109 V/cm or intensity I = 3.5 x 1016 Watts/cm2). The interaction of such pulses with atoms and molecules leads to new, highly nonlinear nonperturbative regimes, where new physical phenomena, such as High Harmonic Generation (HHG), occur, and from which the shortest (attosecond  the natural time scale of the electron) pulses have been created. One of the major experimental discoveries in this nonlinear nonperturbative regime, Laser Pulse Filamentation, was observed by Mourou and Braun in 1995, as the propagation of pulses over large distances with narrow and intense cones. This observation has led to intensive investigation in physics and applied mathematics of new effects such as selftransformation of these pulses into white light, intensity clamping, and multiple filamentation, as well as to potential applications to wave guide writing, atmospheric remote sensing, lightning guiding, and military longrange weapons. The increasing power of high performance computers and the mathematical modelling and simulation of photonic systems has enabled many new areas of research. With contributions by theorists and mathematicians, supplemented by active experimentalists who are experts in the field of nonlinear laser molecule interaction and propagation, Laser Filamentation sheds new light on scientific and industrial applications of modern lasers
 Cataloging source
 N$T
 Dewey number
 621.36/6
 Index
 index present
 LC call number
 QC688
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Bandrauk, André D.
 Lorin, Emmanuel
 Moloney, Jerome V.
 Series statement
 CRM series in mathematical physics
 http://library.link/vocab/subjectName

 Lasers in physics
 Lasers
 Laser pulses, Ultrashort
 Photonics
 Mathematical physics
 SCIENCE
 TECHNOLOGY & ENGINEERING
 Laser pulses, Ultrashort
 Lasers in physics
 Lasers
 Mathematical physics
 Photonics
 Physics
 Optics, Lasers, Photonics, Optical Devices
 Mathematical Physics
 Remote Sensing/Photogrammetry
 Applications of Nonlinear Dynamics and Chaos Theory
 Plasma Physics
 Mathematical physics
 Geographical information systems (GIS) & remote sensing
 Nonlinear science
 Plasma physics
 Laser technology & holography
 Label
 Laser filamentation : mathematical methods and models, Andre D. Bandrauk, Emmanuel Lorin, Jerome V. Moloney, editors
 Note
 Includes index
 Antecedent source
 unknown
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Preface; Contents; Contributors; Short Pulse Evolution Equation; 1 Introduction; 2 The Nature of SPEE; 3 Derivation of SPEE; 4 Challenges, Questions, and Conclusions; References; Variants of the Focusing NLS Equation: Derivation, Justification, and Open Problems Related to Filamentation; 1 Introduction; 1.1 Models Without Ionization Processes; 1.2 Models with Ionization Processes; 1.3 Notations; 2 The Maxwell Equations and an Abstract Mathematical Formulation; 2.1 The Maxwell Equations; 2.1.1 The Polarization Response to the Electric Field; 2.1.2 The Case with Charge and Current Density
 2.1.3 Ionization Current Density2.2 Abstract Formulations; 2.2.1 The Case Without Charge nor Current Density; 2.2.2 The Case with Charge and Current Density; 2.3 The Cauchy Problem; 3 Derivation of NLSType Equations; 3.1 The Profile Equation; 3.2 The Slowly Varying Envelope Approximation; 3.3 The Full Dispersion Model; 3.4 The NLS Equation; 3.5 The NLS Equation with Improved Dispersion Relation; 3.6 The NLS Equation with Frequency Dependent Polarization; 3.7 Including Ionization Processes; 3.7.1 The Profile Equation; 3.7.2 The Slowly Varying Envelope Approximation
 3.7.3 The NLS Equation with Ionization3.7.4 The Most General Model; 4 Analysis of (3) and (4), and Open Problems; 4.1 The Case of No and Anomalous GVD (Resp. [alpha]_1=0 and [alpha]_1=1); 4.1.1 The Nonlinearity; 4.1.2 Taking the Ionization Process into Account; 4.1.3 The Damping; 4.1.4 OffAxis Variation of the Group Velocity; 4.1.5 Selfsteepening of the Pulse; 4.2 The Case of Normal GVD (i.e., [alpha]_1=1); 4.3 Mixing Several Phenomena; 4.4 The Vectorial Case; 4.5 The Approximation of the Maxwell Equations over Longer Times; Appendix 1: Nondimensionalization of the Equations
 The Case Without Charge nor Current DensityThe Case with Charge and Current Density; Appendix 2: Explicit Computations for Maxwell's Equations; The Case Without Charge nor Current Density; Without Frequency Dependent Polarization; With Frequency Dependent Polarization; The Case with Charge and Current Density; References; Blowing Up Solutions to the Zakharov System for Langmuir Waves; 1 Introduction; 2 The Scalar Zakharov System; 2.1 Blowup in Finite or Infinite Time; 2.2 Selfsimilar Blowing Up Solutions; 2.2.1 Dimension d=2; 2.2.2 Dimension d=3; 2.3 Lower Bounds for Rate of Blowup
 2.3.1 Scale Invariance, Criticality, and Local WellPosedness2.3.2 Finite Energy Solutions: The TwoDimensional Case; 2.3.3 Infinite Energy Solutions; 3 The Vectorial Zakharov System; References; THz Waveforms and Polarization from Laser Induced Plasmas by FewCycle Pulses; 1 Introduction; 2 Generation of CEP Stabilized FewCycle Pulses; 2.1 Optical Parametric Amplifier; 2.2 Pulse Compression; 2.3 CEP Stability; 3 Variation of `3́9`42`""̇613A``45`47`""603ATHz Waves in Air Plasma by FewCycle Pulses; 3.1 Variation of `3́9`42`""̇613A``45`47`""603ATHz Waveform in Air Plasma
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9783319230849
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319230849
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)924714075
 (OCoLC)ocn924714075
 Label
 Laser filamentation : mathematical methods and models, Andre D. Bandrauk, Emmanuel Lorin, Jerome V. Moloney, editors
 Note
 Includes index
 Antecedent source
 unknown
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Preface; Contents; Contributors; Short Pulse Evolution Equation; 1 Introduction; 2 The Nature of SPEE; 3 Derivation of SPEE; 4 Challenges, Questions, and Conclusions; References; Variants of the Focusing NLS Equation: Derivation, Justification, and Open Problems Related to Filamentation; 1 Introduction; 1.1 Models Without Ionization Processes; 1.2 Models with Ionization Processes; 1.3 Notations; 2 The Maxwell Equations and an Abstract Mathematical Formulation; 2.1 The Maxwell Equations; 2.1.1 The Polarization Response to the Electric Field; 2.1.2 The Case with Charge and Current Density
 2.1.3 Ionization Current Density2.2 Abstract Formulations; 2.2.1 The Case Without Charge nor Current Density; 2.2.2 The Case with Charge and Current Density; 2.3 The Cauchy Problem; 3 Derivation of NLSType Equations; 3.1 The Profile Equation; 3.2 The Slowly Varying Envelope Approximation; 3.3 The Full Dispersion Model; 3.4 The NLS Equation; 3.5 The NLS Equation with Improved Dispersion Relation; 3.6 The NLS Equation with Frequency Dependent Polarization; 3.7 Including Ionization Processes; 3.7.1 The Profile Equation; 3.7.2 The Slowly Varying Envelope Approximation
 3.7.3 The NLS Equation with Ionization3.7.4 The Most General Model; 4 Analysis of (3) and (4), and Open Problems; 4.1 The Case of No and Anomalous GVD (Resp. [alpha]_1=0 and [alpha]_1=1); 4.1.1 The Nonlinearity; 4.1.2 Taking the Ionization Process into Account; 4.1.3 The Damping; 4.1.4 OffAxis Variation of the Group Velocity; 4.1.5 Selfsteepening of the Pulse; 4.2 The Case of Normal GVD (i.e., [alpha]_1=1); 4.3 Mixing Several Phenomena; 4.4 The Vectorial Case; 4.5 The Approximation of the Maxwell Equations over Longer Times; Appendix 1: Nondimensionalization of the Equations
 The Case Without Charge nor Current DensityThe Case with Charge and Current Density; Appendix 2: Explicit Computations for Maxwell's Equations; The Case Without Charge nor Current Density; Without Frequency Dependent Polarization; With Frequency Dependent Polarization; The Case with Charge and Current Density; References; Blowing Up Solutions to the Zakharov System for Langmuir Waves; 1 Introduction; 2 The Scalar Zakharov System; 2.1 Blowup in Finite or Infinite Time; 2.2 Selfsimilar Blowing Up Solutions; 2.2.1 Dimension d=2; 2.2.2 Dimension d=3; 2.3 Lower Bounds for Rate of Blowup
 2.3.1 Scale Invariance, Criticality, and Local WellPosedness2.3.2 Finite Energy Solutions: The TwoDimensional Case; 2.3.3 Infinite Energy Solutions; 3 The Vectorial Zakharov System; References; THz Waveforms and Polarization from Laser Induced Plasmas by FewCycle Pulses; 1 Introduction; 2 Generation of CEP Stabilized FewCycle Pulses; 2.1 Optical Parametric Amplifier; 2.2 Pulse Compression; 2.3 CEP Stability; 3 Variation of `3́9`42`""̇613A``45`47`""603ATHz Waves in Air Plasma by FewCycle Pulses; 3.1 Variation of `3́9`42`""̇613A``45`47`""603ATHz Waveform in Air Plasma
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9783319230849
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319230849
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)924714075
 (OCoLC)ocn924714075
Subject
 Applications of Nonlinear Dynamics and Chaos Theory
 Electronic books
 Geographical information systems (GIS) & remote sensing
 Laser pulses, Ultrashort
 Laser pulses, Ultrashort
 Laser technology & holography
 Lasers  Mathematical models
 Lasers  Mathematical models
 Lasers in physics
 Lasers in physics
 Mathematical Physics
 Mathematical physics
 Mathematical physics
 Mathematical physics
 Nonlinear science
 Optics, Lasers, Photonics, Optical Devices
 Photonics
 Photonics
 Physics
 Plasma Physics
 Plasma physics
 Remote Sensing/Photogrammetry
 SCIENCE  Physics  General
 TECHNOLOGY & ENGINEERING  Lasers & Photonics
Genre
Member of
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