CRM Series in Mathematical Physics

Laser Filamentation

Mathematical Methods and Models

Editors: Bandrauk, Andre D., Lorin, Emmanuel, Moloney, Jerome V. (Eds.)

  • 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
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eBook $99.00
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  • ISBN 978-3-319-23084-9
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  • Included format: EPUB, PDF
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  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-23083-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (8 chapters)

  • Short Pulse Evolution Equation

    Newell, Alan C.

    Pages 1-17

  • Variants of the Focusing NLS Equation: Derivation, Justification, and Open Problems Related to Filamentation

    Dumas, Éric (et al.)

    Pages 19-75

  • Blowing Up Solutions to the Zakharov System for Langmuir Waves

    Cher, Yuri (et al.)

    Pages 77-95

  • THz Waveforms and Polarization from Laser Induced Plasmas by Few-Cycle Pulses

    Liu, Peng (et al.)

    Pages 97-120

  • Lasing Actions Inside a Femtosecond Laser Filament in Air

    Wang, Tie-Jun (et al.)

    Pages 121-146

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-23084-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-23083-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-23084-9
DOI
10.1007/978-3-319-23084-9
Hardcover ISBN
978-3-319-23083-2
Edition Number
1
Number of Pages
XII, 216
Topics