Results 231 to 240 of about 4,779 (264)

Nonlinear Elliptic Equations with Mixed Singularities

Potential Analysis, 2017
This paper deals with the mathematical analysis of a class of non-variational degenerate elliptic equations with mixed singular structures. A feature of the paper under review is that the singular structure arises both at the set of critical points and on the ground touching points. The main result of this paper establishes that positive solutions have
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Microbubble cloud characterization by nonlinear frequency mixing

The Journal of the Acoustical Society of America, 2011
In the frame of the fourth generation forum, France decided to develop sodium fast nuclear reactors. French Safety Authority requests the associated monitoring of argon gas into sodium. This implies to estimate the void fraction, and a histogram indicating the bubble population.
Cavaro, M., Payan, C., Moysan, J., Baqué, F.   +3 more
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Two-Wave Mixing in Nonlinear Media

IEEE Journal of Quantum Electronics, 1989
The physics of the photorefractive effect is briefly discussed. A coupled-mode theory is then developed to analyze the coupling of two coherent electromagnetic waves inside a photorefractive medium. Both codirectional and contradirectional coupling are considered.
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EKENS: A Learning on Nonlinear Blindly Mixed Signals

Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005., 2006
We present experimental results of the blind separation of independent sources from their nonlinear mixtures. The proposed EKENS algorithm is a generalization of natural gradient algorithm and Gram-Charlier series, which is extended in two ways: (1) to deal with nonlinear mapping, and (2) to be able to adapt to the actual statistical distributions of ...
Wai Yie Leong, John Homer
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Forward four-wave mixing with defocusing nonlinearity

Optics Letters, 2007
We experimentally demonstrate degenerate, forward four-wave mixing effects in a self-defocusing photorefractive medium, in both one and two transverse dimensions. We observe the nonlinear evolution of new modes as a function of propagation distance, in both the near-field and far-field (Fourier space) regions.
Shu, Jia, Wenjie, Wan, Jason W, Fleischer   +2 more
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Nonlinear Wave Mixing Processes

2021
Electromagnetic waves travel without interaction amongst themselves in a material with a linear optical response. There would be no energy exchange between the waves. On the other hand, if the material exhibits a significant optical nonlinearity, that would enable energy transfer between the waves.
Y. V. G. S. Murti, C. Vijayan
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N coupled nonlinear Schrödinger equations with mixed nonlinear interactions

Physics Letters A, 2002
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Nonlinear photorefractive mixing theory

Optical Society of America Annual Meeting, 1992
Linear photorefractive mixing is limited to constant intensity. However, the operation theory becomes nonlinear when one of the inputs is amplitude modulated. As in electronics, it is often essential to have amplitude modulation. In this paper, we introduce the solution for the nonlinear photo-refractive mixing theory for weakly absorbing materials ...
J. Khoury, M. Cronin-Golomb, C. Woods
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Nonlinear mixing dynamical systems

Reports on Mathematical Physics, 1986
We consider finite-dimensional mixing-enhancing dynamical systems. Necessary and sufficient conditions for \(\dot x=f(t,x)\) to be a mixing system are given. On this basis we develop an effective criterion for the quadratic case.
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Homoclinic solutions of discrete prescribed mean curvature equations with mixed nonlinearities

Applied Mathematics Letters, 2022
Peng Mei, Zhan Zhou
exaly