Overview
- Brings together the latest models, theories and experiments
- Presents models and mathematics of nonlinear optical processes in modern laser technology
- Describes nonlinear, nonperturbative response of matter to ultrafast intense laser pulses
- Reviews the physics and applied mathematics of intense laser pulse propagation in materials
- Covers potential applications to wave guide writing, remote sensing, lightning guiding, and laser-guided medicine
Part of the book series: CRM Series in Mathematical Physics (CRM)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
- Atmospheric Remote Sensing
- Intense Laser Pulse Propagation in Materials
- Intensity Clamping
- Laser Filamentation
- Laser-guided Medicine
- Lasers in Planet Earth
- Laster Filamentation Mathematical Methods and Models
- Lightning Guiding
- Maxwell-Schroedinger Equations
- Military Long-range Weapons
- Multiple Filamentation
- Non-perturbative Models
- Non-perturbative Models Laser Filamentation
- Nonlinear Nonperturbative Optical Science
- Nonlinear Optical Processes Lasers
- Ultrafast Intense Laser Science
- Ultrafast Lasers
- Wave Guide Writing
- remote sensing/photogrammetry
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Laser Filamentation
Book Subtitle: Mathematical Methods and Models
Editors: Andre D. Bandrauk, Emmanuel Lorin, Jerome V. Moloney
Series Title: CRM Series in Mathematical Physics
DOI: https://doi.org/10.1007/978-3-319-23084-9
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-23083-2Published: 23 October 2015
Softcover ISBN: 978-3-319-35954-0Published: 23 August 2016
eBook ISBN: 978-3-319-23084-9Published: 12 October 2015
Series ISSN: 2627-7654
Series E-ISSN: 2627-7662
Edition Number: 1
Number of Pages: XII, 216
Topics: Optics, Lasers, Photonics, Optical Devices, Mathematical Physics, Remote Sensing/Photogrammetry, Applications of Nonlinear Dynamics and Chaos Theory, Plasma Physics