Instability of vortex filaments in laser–matter interactions

Fukumoto, Yasuhide; Lugomer, Stjepan

doi:10.1016/s0375-9601(03)00069-0

Cited by 12 publications

(22 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here A is the perturbation amplitude equivalent to the height of the scratch wall, and k p is the perturbation wavenumber: k p = 2π/L μm −1 . An oscillatory shock perturbs the density interface (shear layer) transversally to the radial flow, or the flow from the central to the peripheral regions (y-direction), causing the formation of waves and their roll-up into vortex filaments of the core thickness σ ∼ 5−7μm [1][2][3][4]. As a result, a high density 1D array of vortex filaments (the separation distance between neighboring filaments Λ ≤ σ) has been generated.…”

Section: Outline Of Experimentsmentioning

confidence: 99%

“…It is well known that nanosecond laser-matter interactions (LMI) may generate a one-dimensional (1D) array of vortex filaments on a solid surface, with the behavior that is common to string-like formations of various systems [1][2][3]. Among them is the action of torsion that generates the Hasimoto solitons [1], formation and instability of vortex rings [4], the phenomena like helicoidal instability, reconnection, and merging of filaments [2], looping of the filaments in the strain field of a point defect, spiraling and pinning [3] etc. All these phenomena are possible due to the fact that vortex filaments (in a certain stage of the LMI), behave as a viscoelastic entity.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Generation of ribbons, helicoids, and complex Scherk surfaces in laser-matter interactions

Lugomer

Fukumoto

2010

Phys. Rev. E

View full text Add to dashboard Cite

Motivated by a diversity of the shape instability phenomena in condensed-matter physics, we study the formation of elastic ribbon structures and transformation into helicoidal structures. Using the multipulse laser-matter interaction with the Co-coated surface, a one-dimensional high-density vortex-filament array has been created. Increasing the number of pulses, the oscillatory strain field causes the cascade of the shape transformations into structures of increasing topological complexity: vortex filaments into ribbons, into ribbon helicoids and tubular-ribbon helicoids, and then into short ribbon structures with the complex Scherk surface being identified. The cascade of transformations follows the scenario in which the topological complexity of the new structure increases with the number of pulses, thus, realizing configurations with more efficient energy relaxation. Above a critical number of pulses, the system is catastrophically disintegrated into small-scale wrinkled and crumpled surfaces. We show that the critical parameter for the ribbon transformations is the number of laser pulses which is equivalent to some critical oscillatory frequency.

show abstract

Section: Outline Of Experimentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Generation of ribbons, helicoids, and complex Scherk surfaces in laser-matter interactions

Lugomer

Fukumoto

2010

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…Owing to ultrafast cooling at the end of pulse, the obtained pattern stays frozen permanently, which allows for a geometric analysis. Fukumoto and Lugomer (2003) clarified by a simple estimation of material parameters that the formation of vortex filaments was narrowly possible by a fortuitous adjustment of parameter values.…”

Section: Introductionmentioning

confidence: 99%

“…As a scenario of formation of vortex filaments, we have two possible mechanisms in minds. In a series of papers, we claimed that they are formed as a consequence of the Kelvin-Helmholtz instabilities (Lugomer, 1999;Fukumoto and Lugomer, 2003). In this case, loops on the filament can be interpreted as loop solitons (Hasimoto, 1972), representing one dimensional soliton lattice.…”

Section: Introductionmentioning

confidence: 99%

“…The integrating processes of vortex filaments appear in regions where the filament-filament separation is very small, usually of the order of one core diameter. This processes lead to more complex structures, like braiding and tangling of filaments as described from topological viewpoint by Lugomer (1996Lugomer ( , 1998 and from dynamical viewpoint by Fukumoto and Lugomer (2003). The disintegrating processes dominate in regions where the filament-filament separation is larger than a few core diameters, three core diameters say.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hierarchical instability of a vortex ring array in multipulse laser-matter interactions

Lugomer

Fukumoto

2005

Fluid Dyn. Res.

Self Cite

View full text Add to dashboard Cite

In XeCl excimer Laser interactions with Co-coated steel surfaces, we have seemingly realized a quasi-linear array of vortex rings. These form from instabilities on an array of vortex filaments which emerge and then lead to a series of loops. Finally the collapse-and-reconnection process yields a cascade of nearby vortex rings. Since the filament array is subjected to randomly distributed local multipolar strains, unstable waves can develop on the vortex rings. These deformed shapes are frozen permanently by ultrafast cooling, following the last laser pulse. Using a modal analysis, an attempt is made to relate the wave structures to a parametric resonance instability which is caused by dipolar and a quadrupolar fields. Multipulse laser-matter interactions are thus capable of nonselective excitation of vortex ring instabilities of various sizes and various modal structures.

show abstract

Micro-fluid dynamics via laser metal surface interactions: Wave-vortex interpretation of emerging multiscale coherent structures

2005

View full text Add to dashboard Cite

Lugomer and colleagues have discovered filamentary-like coherent structures in small (∼3 mm diameter) laserbeam-metal-surface interactions. Experimental photographs of a small part of the laser spot area shows frozen "fossil" filament-like structures. We present reasonable arguments and preliminary computer results that suggest that these are due to vorticity deposited by accelerated flows due to blast and shock waves.

show abstract

Instability of vortex filaments in laser–matter interactions

Cited by 12 publications

References 17 publications

Generation of ribbons, helicoids, and complex Scherk surfaces in laser-matter interactions

Generation of ribbons, helicoids, and complex Scherk surfaces in laser-matter interactions

Hierarchical instability of a vortex ring array in multipulse laser-matter interactions

Micro-fluid dynamics via laser metal surface interactions: Wave-vortex interpretation of emerging multiscale coherent structures

Contact Info

Product

Resources

About