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Laser Filamentation

Mathematical Methods and Models

Andre D. Bandrauk, Emmanuel Lorin, Jerome V. Moloney (Herausgeber)

Buch | Hardcover

XII, 216 Seiten

2015 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-23083-2 (ISBN)

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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.

Short Pulse Evolution Equation (SPEE).- Variants of the Focusing NLS Equation. Derivation, Justification and Open Problems Related to Filamentation.- Blowing Up Solutions to the Zakharov System for Langmuir Waves.- THz Waveforms and Polarization from Laser Induced Plasmas by Few-Cycle Pulses.- Lasing Actions Inside a Femtosecond Laser Filament in Air.- Filamentation and Pulse Self-Compression in the Anomalous Dispersion Region of Glasses.- Nonperturbative Nonlinear Maxwell-Schrödinger Models for Intense Laser Pulse Propagation.- Numerical Simulation of Ultra-Short Laser Pulses.

Erscheint lt. Verlag	23.10.2015
Reihe/Serie	CRM Series in Mathematical Physics
Zusatzinfo	XII, 216 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Optik
Themenwelt	Technik ► Elektrotechnik / Energietechnik
Schlagworte	Atmospheric remote sensing • Intense Laser Pulse Propagation in Materials • Intensity Clamping • Laser • Laser Filamentation • Laser-guided Medicine • Lasers in Planet Earth • Laser Technology, Photonics • Laster Filamentation Mathematical Methods and Mode • Laster Filamentation Mathematical Methods and Models • Lightning Guiding • Mathematical Physics • Maxwell-Schroedinger Equations • Military Long-range Weapons • Multiple Filamentation • Nonlinear Dynamics • Nonlinear Nonperturbative Optical Science • Nonlinear Optical Processes Lasers • Non-perturbative Models • Non-perturbative Models Laser Filamentation • Physics and Astronomy • Plasma physics • Remote Sensing/Photogrammetry • Ultrafast intense laser science • ultrafast lasers • Wave Guide Writing
ISBN-10	3-319-23083-2 / 3319230832
ISBN-13	978-3-319-23083-2 / 9783319230832
Zustand	Neuware