5 research outputs found
Directional Soliton and Breather Beams
Solitons and breathers are nonlinear modes that exist in a wide range of
physical systems. They are fundamental solutions of a number of nonlinear wave
evolution equations, including the uni-directional nonlinear Schr\"odinger
equation (NLSE). We report the observation of slanted solitons and breathers
propagating at an angle with respect to the direction of propagation of the
wave field. As the coherence is diagonal, the scale in the crest direction
becomes finite, consequently, a beam dynamics forms. Spatio-temporal
measurements of the water surface elevation are obtained by
stereo-reconstructing the positions of the floating markers placed on a regular
lattice and recorded with two synchronized high-speed cameras. Experimental
results, based on the predictions obtained from the (2D+1) hyperbolic NLSE
equation, are in excellent agreement with the theory. Our study proves the
existence of such unique and coherent wave packets and has serious implications
for practical applications in optical sciences and physical oceanography.
Moreover, unstable wave fields in this geometry may explain the formation of
directional large amplitude rogue waves with a finite crest length within a
wide range of nonlinear dispersive media, such as Bose-Einstein condensates,
plasma, hydrodynamics and optics
3D stereo imaging of abnormal waves in a wave basin
This paper proposes a new method to measure the wave surface elevation in a wave basin. The Direct Linear Transformation (DLT) method is employed in the 3D reconstruction of the free surface marked by an array of floats attached to a flexible net. The method is coined the Marker-Net method (MNM). Experiments were conducted in a large basin to validate the proposed method. Regular wave records are compared against wave wire measurements to quantify the accuracy of the estimation based on the MNM. To demonstrate the advantage of the MNM over conventional techniques used in the tank, a set of experiments based on analytical solutions of the 2D+T nonlinear Schrodinger equations were conducted. The MNM reconstruction of the free surface revealed propagation of an oblique structure, which is difficult to visualize otherwise
3D STEREO IMAGING OF ABNORMAL WAVES IN A WAVE BASIN
ABSTRACT This paper proposes a new method to measure the wave surface elevation in a wave basin. The Direct Linear Transformation (DLT) method is employed in the 3D reconstruction of the free surface marked by an array of floats attached to a flexible net. The method is coined the Marker-Net method (MNM). Experiments were conducted in a large basin to validate the proposed method. Regular wave records are compared against wave wire measurements to quantify the accuracy of the estimation based on the MNM. To demonstrate the advantage of the MNM over conventional techniques used in the tank, a set of experiments based on analytical solutions of the 2D+T nonlinear Schrodinger equations were conducted. The MNM reconstruction of the free surface revealed propagation of an oblique structure, which is difficult to visualize otherwise
Directional soliton and breather beams
Solitons and breathers are nonlinear modes that exist in a wide range of physical systems. They are fundamental solutions of a number of nonlinear wave evolution equations, including the unidirectional nonlinear Schrödinger equation (NLSE). We report the observation of slanted solitons and breathers propagating at an angle with respect to the direction of propagation of the wave field. As the coherence is diagonal, the scale in the crest direction becomes finite; consequently, beam dynamics form. Spatiotemporal measurements of the water surface elevation are obtained by stereo-reconstructing the positions of the floating markers placed on a regular lattice and recorded with two synchronized high-speed cameras. Experimental results, based on the predictions obtained from the (2D + 1) hyperbolic NLSE equation, are in excellent agreement with the theory. Our study proves the existence of such unique and coherent wave packets and has serious implications for practical applications in optical sciences and physical oceanography. Moreover, unstable wave fields in this geometry may explain the formation of directional large-amplitude rogue waves with a finite crest length within a wide range of nonlinear dispersive media, such as Bose–Einstein condensates, solids, plasma, hydrodynamics, and optics.A.C. acknowledges support from the Japan Society for the Promotion of Science (JSPS). A.V.B. acknowledges support
from the Australian Research Council (Discovery Projects DP170101328).
J.N.S. acknowledges an Engineering and Physical Sciences Research Council studentship (1770088). T.S.v.d.B. acknowledges a Royal Academy
of Engineering Research Fellowship. N.A. acknowledges the Australian Research Council for financial support. M.O. has been funded by
Progetto di Ricerca d’Ateneo Grant CSTO160004. M.O. was supported
by the “Departments of Excellence 2018–2022” grant awarded by the
Italian Ministry of Education, University and Research (L.232/2016). The
experiments at the University of Tokyo were supported by KAKENHI
of JSPS
Directional soliton and breather beams
Solitons and breathers are nonlinear modes that exist in a wide range of physical systems. They are fundamental solutions of a number of nonlinear wave evolution equations, including the unidirectional nonlinear Schrödinger equation (NLSE). We report the observation of slanted solitons and breathers propagating at an angle with respect to the direction of propagation of the wave field. As the coherence is diagonal, the scale in the crest direction becomes finite; consequently, beam dynamics form. Spatiotemporal measurements of the water surface elevation are obtained by stereo-reconstructing the positions of the floating markers placed on a regular lattice and recorded with two synchronized high-speed cameras. Experimental results, based on the predictions obtained from the (2D + 1) hyperbolic NLSE equation, are in excellent agreement with the theory. Our study proves the existence of such unique and coherent wave packets and has serious implications for practical applications in optical sciences and physical oceanography. Moreover, unstable wave fields in this geometry may explain the formation of directional large-amplitude rogue waves with a finite crest length within a wide range of nonlinear dispersive media, such as Bose-Einstein condensates, solids, plasma, hydrodynamics, and optics.A.C. acknowledges support from the Japan Society for the Promotion of Science (JSPS). A.V.B. acknowledges support from the Australian Research Council (Discovery Projects DP170101328). J.N.S. acknowledges an Engineering and Physical Sciences Research Council studentship (1770088). T.S.v.d.B. acknowledges a Royal Academy of Engineering Research Fellowship. N.A. acknowledges the Australian Research Council for financial support. M.O. has been funded by Progetto di Ricerca d’Ateneo Grant CSTO160004. M.O. was supported by the “Departments of Excellence 2018–2022” grant awarded by the Italian Ministry of Education, University and Research (L.232/2016). The experiments at the University of Tokyo were supported by KAKENHI of JSPS