Femtosecond Lidar

Wöste, L.; Wedekind, C.; Wille, H.; Rairoux, P.; Rodríguez, Miguel; Stein, B.; Sauerbrey, R.; Schillinger, H.; Ronneberger, F.; Niedermaier, S.

doi:10.1007/978-3-642-72289-9_36

Cited by 21 publications

(35 citation statements)

References 2 publications

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“…The formation of filaments at kilometric distances in the sky was also reported from the detection of the supercontinuum by a telescope [70,89]. During an horizontal propagation campaign led with the Teramobile laser [52,54,90], the presence of multiple filaments up to 600 m was clearly demonstrated from step by step measurements of the plasma density using three different techniques (conductivity measurements, detection of the luminescence and detection of the sub-THz EMP).…”

Section: Long Range (Outdoor) Experimentsmentioning

confidence: 78%

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Femtosecond Filamentation in Air

Couairon

Mysyrowicz

2006

Springer Series in Chemical Physics

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Section: Long Range (Outdoor) Experimentsmentioning

confidence: 78%

“…c) The generation of a supercontinuum [39,79] which constitutes the main property used in atmospheric LIDAR applications such as the detection of pollutants [89].…”

Section: Introductionmentioning

confidence: 99%

Femtosecond Filamentation in Air

Couairon

Mysyrowicz

2006

Springer Series in Chemical Physics

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“…4 In fact, the component c 2 q m 2 in formula (33) can be replaced with almost any linear combination of q m 2 and q Àm 2 , and the same is true regarding the component c À2 q Àm 2 in formula (36), as long as the chosen linear combinations are linearly independent. In so doing, stability will be guaranteed, except in some special degenerate cases, see [21].…”

Section: Transverse Boundary Conditionsmentioning

confidence: 99%

“…However, whereas the boundary conditions (39), (40) are most intuitive, the boundary conditions (39), (45) will be shown to possess additional symmetries which become useful when proving properties of the transverse eigenvectors in Section 3.5. 4 We recall that the Sommerfeld radiation principle leaves no flexibility in treating the physical waves q m 1 and q Àm 1 .…”

Section: Transverse Boundary Conditionsmentioning

confidence: 99%

“…From the standpoint of applications in modern science and engineering, the capability to quantitatively analyze and predict the phenomena of nonlinear self-focusing and backscattering is extremely important for a large number of problems. Those range from remote atmosphere sensing (when an earth-based powerful laser sends pulses to the sky [4], and the backscattered radiation accounts for the detected signal), to laser surgery (propagation of laser beams in tissues), to transmitting information along optical fibers. There are other possible applications, e.g., all-optical switching in electrical/electronic circuits, that involve interactions (collisions) between co-propagating or counter-propagating beams.…”

Section: Introductionmentioning

confidence: 99%

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Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions

Fibich

Tsynkov

2005

Journal of Computational Physics

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In [J. Comput. Phys. 171 (2001) 632-677] we developed a fourth-order numerical method for solving the nonlinear Helmholtz equation which governs the propagation of time-harmonic laser beams in media with a Kerr-type nonlinearity. A key element of the algorithm was a new nonlocal two-way artificial boundary condition (ABC), set in the direction of beam propagation. This two-way ABC provided for reflectionless propagation of the outgoing waves while also fully transmitting the given incoming beam at the boundaries of the computational domain. Altogether, the algorithm of [J. Comput. Phys. 171 (2001) 632-677] has allowed for a direct simulation of nonlinear self-focusing without neglecting nonparaxial effects and backscattering. To the best of our knowledge, this capacity has never been achieved previously in nonlinear optics.In the current paper, we propose an improved version of the algorithm. The principal innovation is that instead of using the Dirichlet boundary conditions in the direction orthogonal to that of the laser beam propagation, we now introduce Sommerfeld-type local radiation boundary conditions, which are constructed directly in the discrete framework. Numerically, implementation of the Sommerfeld conditions requires evaluation of eigenvalues and eigenvectors for a non-Hermitian matrix. Subsequently, the separation of variables, which is a key building block of the aforementioned nonlocal ABC, is implemented through an expansion with respect to the nonorthogonal basis of the eigenvectors. Numerical simulations show that the new algorithm offers a considerable improvement in its numerical performance, as well as in the range of physical phenomena that it is capable of simulating.

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Systematic study of spatiotemporal dynamics of intense femtosecond laser pulses in BK-7 glass

2007

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In this paper we present a systematic study of the spatial and temporal effects of intense femtosecond laser pulses in BK-7 over a broad range of input powers, 1-1000 times the critical power for self-focusing (Pcr) by numerically solving the nonlinear Schrödinger equation (NLS). Most numerical studies have not been extended to such high powers. A clear-cut classification of spatio-temporal dynamics up to very high powers into three regimes -the group-velocity dispersion (GVD) regime, the ionization regime and the dominant plasma regime -as done here, is a significant step towards a better understanding. Further, we examine in detail the role of GVD in channel formation by comparing BK-7 to an 'artificial' medium. Our investigations bring forth the important observation that diffraction plays a minimal role in the formation of multiple cones and that plasma plays a diffraction-like role at very high powers. A detailed study of the spatio-temporal dynamics in any condensed medium over this range of powers has not been reported hitherto, to the best of our knowledge. We also suggest appropriate operational powers for various applications employing BK-7 on the basis of our results.

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Femtosecond Lidar

Cited by 21 publications

References 2 publications

Femtosecond Filamentation in Air

Femtosecond Filamentation in Air

Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions

Systematic study of spatiotemporal dynamics of intense femtosecond laser pulses in BK-7 glass

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