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

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
Contributor
Editor
Subject
Genre
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 non-perturbative 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 self-transformation 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 long-range 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
Member of
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
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-23084-9
Instantiates
Publication
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 NLS-Type 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 Off-Axis Variation of the Group Velocity; 4.1.5 Self-steepening 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 Self-similar 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 Well-Posedness2.3.2 Finite Energy Solutions: The Two-Dimensional Case; 2.3.3 Infinite Energy Solutions; 3 The Vectorial Zakharov System; References; THz Waveforms and Polarization from Laser Induced Plasmas by Few-Cycle Pulses; 1 Introduction; 2 Generation of CEP Stabilized Few-Cycle 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 Few-Cycle 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
10.1007/978-3-319-23084-9
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
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-23084-9
Publication
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 NLS-Type 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 Off-Axis Variation of the Group Velocity; 4.1.5 Self-steepening 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 Self-similar 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 Well-Posedness2.3.2 Finite Energy Solutions: The Two-Dimensional Case; 2.3.3 Infinite Energy Solutions; 3 The Vectorial Zakharov System; References; THz Waveforms and Polarization from Laser Induced Plasmas by Few-Cycle Pulses; 1 Introduction; 2 Generation of CEP Stabilized Few-Cycle 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 Few-Cycle 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
10.1007/978-3-319-23084-9
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)924714075
  • (OCoLC)ocn924714075

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