Nonlinear Lamb Wave Micro-Crack Direction Identification in Plates with Mixed-Frequency Technique
This paper investigates the direction identification of micro-cracks with nonlinear components generated by Lamb wave with frequency-mixing technique. Three-dimensional finite element simulations were carried out to investigate the interaction mechanism ...
Liqiang Guan +3 more
doaj +1 more source
Analysis and Reduction of Nonlinear Effects in Optical Fiber Frequency Transfer
Nonlinear effects in optical fiber frequency transfer have a significant impact on the precision of frequency transfer. We investigate the main nonlinear effects, including the Brillouin scattering and the Raman scattering, in optical fiber frequency ...
Jing Gao +10 more
doaj +1 more source
Scattering matrix theory for nonlinear transport [PDF]
We report a scattering matrix theory for dynamic and nonlinear transport in coherent mesoscopic conductors. In general this theory allows predictions of low frequency linear dynamic conductance, as well as weakly nonlinear DC conductance. It satisfies the conditions of gauge invariance and electric current conservation, and can be put into a form ...
Wang, J, Ma, ZS, Guo, H
openaire +4 more sources
Nonlinear Iterative Hard Thresholding for Inverse Scattering [PDF]
We consider the inverse scattering problem for sparse scatterers. An image reconstruction algorithm is proposed that is based on a nonlinear generalization of iterative hard thresholding. The convergence and error of the method was analyzed by means of coherence estimates and compared to numerical simulations.
Anna C. Gilbert +2 more
openaire +3 more sources
Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]
Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S +15 more
core +1 more source
Integration of the Matrix Nonlinear Schr¨odinger Equation with a Source
This paper is concerned with studying the matrix nonlinear Schr¨odinger equation with a self-consistent source. The source consists of the combination of the eigenfunctions of the corresponding spectral problem for the matrix Zakharov-Shabat system which
G.U. Urazboev +2 more
doaj +1 more source
Mechanism of wave breaking from a vacuum point in the defocusing nonlinear Schrödinger equation
We study the wave breaking mechanism for the weakly dispersive defocusing nonlinear Schrödinger equation with a constant phase dark initial datum that contains a vacuum point at the origin.
Moro, Antonio, A. Moro, Trillo, Stefano
core +1 more source
A local defect resonance for linear and nonlinear ultrasonic thermography [PDF]
An efficient wave-defect interaction is the key to a high thermal response of flaws in ultrasonic thermography. To selectively enhance defect vibrations a concept of local defect resonance is developed and applied to ultrasonic activation of defects ...
Solodov, I., Rahammer, M., Busse, G.
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CONFORMAL SCATTERING FOR A NONLINEAR WAVE EQUATION [PDF]
We establish a geometric scattering theory for a conformally invariant nonlinear wave equation on an asymptotically simple space-time. The scattering operator is defined via some trace operators at null infinity, and the proof is decomposed into three steps.
openaire +1 more source
Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]
This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der +4 more
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