Results 241 to 250 of about 402,124 (271)
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Optics Letters, 2013
The performance of an optical hyperlens made of metal-dielectric layers can be improved by incorporating self-focusing nonlinearity in the dielectric layers. Using a modified beam propagation method in cylindrical coordinates, we show increased bandwidth and better propagation length, which can improve the spatial and temporal resolution of the device.
Daniel, Aronovich, Guy, Bartal
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The performance of an optical hyperlens made of metal-dielectric layers can be improved by incorporating self-focusing nonlinearity in the dielectric layers. Using a modified beam propagation method in cylindrical coordinates, we show increased bandwidth and better propagation length, which can improve the spatial and temporal resolution of the device.
Daniel, Aronovich, Guy, Bartal
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SIAM Journal on Control and Optimization, 2016
Summary: We consider a gossip-based distributed stochastic approximation scheme wherein processors situated at the nodes of a connected graph perform stochastic approximation algorithms, modified further by an additive interaction term equal to a weighted average of iterates at neighboring nodes along the lines of ``gossip'' algorithms.
MATHKAR, AS, BORKAR, VS
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Summary: We consider a gossip-based distributed stochastic approximation scheme wherein processors situated at the nodes of a connected graph perform stochastic approximation algorithms, modified further by an additive interaction term equal to a weighted average of iterates at neighboring nodes along the lines of ``gossip'' algorithms.
MATHKAR, AS, BORKAR, VS
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Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012
The nonlinear channelizer is an integrated circuit made up of large parallel arrays of analog nonlinear oscillators, which, collectively, serve as a broad-spectrum analyzer with the ability to receive complex signals containing multiple frequencies and instantaneously lock-on or respond to a received signal in a few oscillation cycles.
Visarath, In +9 more
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The nonlinear channelizer is an integrated circuit made up of large parallel arrays of analog nonlinear oscillators, which, collectively, serve as a broad-spectrum analyzer with the ability to receive complex signals containing multiple frequencies and instantaneously lock-on or respond to a received signal in a few oscillation cycles.
Visarath, In +9 more
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Journal of the Franklin Institute, 1997
Nonlinear Computation will provide a framework for the computational science and engineering of the future. Topics such as bifurcation and chaos, and methods such as continuation and branch switching, and features such as stability and sensitivity are basic ingredients in the attempt to understand our world. Nonlinear Computation is indispensable when
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Nonlinear Computation will provide a framework for the computational science and engineering of the future. Topics such as bifurcation and chaos, and methods such as continuation and branch switching, and features such as stability and sensitivity are basic ingredients in the attempt to understand our world. Nonlinear Computation is indispensable when
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The Journal of the Acoustical Society of America, 1967
Combination tones (CT's) produced by two-tone stimuli (f1 and f2) at relatively low sound levels contradict the classical view that auditory mechanics is an essentially linear process that suffers significant percentage distortion only at high sound levels.
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Combination tones (CT's) produced by two-tone stimuli (f1 and f2) at relatively low sound levels contradict the classical view that auditory mechanics is an essentially linear process that suffers significant percentage distortion only at high sound levels.
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Physica D: Nonlinear Phenomena, 1990
This paper presents a broad and well-written account of some major features of nonlinear optics. It sketches the development - via the discovery of laser - of optics from a linear science to todays highly nonlinear research field, displaying the full and enormously rich phenomenology characterizing this area.
Moloney, Jerome V., Newell, Alan C.
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This paper presents a broad and well-written account of some major features of nonlinear optics. It sketches the development - via the discovery of laser - of optics from a linear science to todays highly nonlinear research field, displaying the full and enormously rich phenomenology characterizing this area.
Moloney, Jerome V., Newell, Alan C.
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“Once Nonlinear, Always Nonlinear”
AIP Conference Proceedings, 2006The phrase “Once nonlinear, always nonlinear” is attributed to David F. Pernet. In the 1970s he noticed that nonlinearly generated higher harmonic components (both tones and noise) don’t decay as small signals, no matter how far the wave propagates. Despite being out of step with the then widespread notion that small‐signal behavior is restored in “old
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2018
The problem of non-linear data is one of the oldest in experimental science. The solution to this problem is very complex, since the exact mechanisms that describe a phenomenon and its nonlinearities, are often unknown. At the same time, environmental factors such as the finite precision of the processing machine, noise, and sensor limitations—among ...
Esposito, Anna +3 more
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The problem of non-linear data is one of the oldest in experimental science. The solution to this problem is very complex, since the exact mechanisms that describe a phenomenon and its nonlinearities, are often unknown. At the same time, environmental factors such as the finite precision of the processing machine, noise, and sensor limitations—among ...
Esposito, Anna +3 more
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SIAM Journal on Matrix Analysis and Applications, 1999
The nonlinear eigenvalue problem \(A(\lambda)v=0\) with holomorphic matrix-valued function \(A(\lambda)\) defined on a domain \(\Omega\subset\mathbb{C}\) is considered. The author suggests a method for solving this problem connected with the calculation of the derivatives of the function \(x(\lambda)={A(\lambda)}^{-1}b,\) where \(b\) is a given vector.
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The nonlinear eigenvalue problem \(A(\lambda)v=0\) with holomorphic matrix-valued function \(A(\lambda)\) defined on a domain \(\Omega\subset\mathbb{C}\) is considered. The author suggests a method for solving this problem connected with the calculation of the derivatives of the function \(x(\lambda)={A(\lambda)}^{-1}b,\) where \(b\) is a given vector.
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Nonlinear photonic crystals: III. Cubic nonlinearity
Waves in Random Media, 2003Summary: Weakly nonlinear interactions between wavepackets in a lossless periodic dielectric medium are studied based on the classical Maxwell equations with a cubic nonlinearity. We consider nonlinear processes such that: (i) the amplitude of the wave component due to the nonlinearity does not exceed the amplitude of its linear component; (ii) the ...
Babin, Anatoli, Figotin, Alexander
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