Results 221 to 230 of about 104,648 (263)
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Adiabaticity and random wave propagation
Optics Letters, 1997We examine the assumption of adiabaticity that underlies mode-coupling analysis of stochastic phenomena such as roughness and inhomogeneity in passive photonics devices such as couplers, gratings, and simple waveguides. We show that although the adiabaticity condition is formally violated by such phenomena, only the low spatial frequencies actually ...
P V, Elyutin, F, Ladouceur
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Directed waves in random media
Physical Review A, 1992We investigate an alternative model for the propagation of directed waves in strongly disordered media. The basic ansatz of our approach is that impurity scattering events can be described by the action of random S matrices. This approach has two important advances over those considered in previous works.
, Saul, , Kardar, , Read
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Wave Automaton for Wave Propagation in Random Media
Advances in Optical Imaging and Photon Migration, 2022We present an original numerical approach for investigation of time-dependent wave propagation in random media. We review different results in 2D, including subdiffusive regime characterization, NDE in the multiple scattering regime and Anderson localization in presence of a nonlinear local gain.
Patrick Sebbah +2 more
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Probability distribution of random wave forces in weakly nonlinear random waves
Ocean Engineering, 2000Abstract Based on the second-order random wave theory, the joint statistical distribution of the horizontal velocity and acceleration is derived using the characteristic function expansion method. From the joint distribution and the Morison equation, the theoretical distributions of drag forces, inertia forces and total random wave forces are ...
Jin-Bao Song +2 more
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Applied Mathematics & Optimization, 1984
The description of waves in a random medium propagating mainly in one direction leads to the random Schrödinger equation \(i \partial V/\partial t+\Delta V+\mu V=0,\) \(x\in (x_ 1,x_ 2)\in {\mathbb{R}}^ 2,\) \(V(0,x_ 1,x_ 2)=V_ 0(x_ 1,x_ 2),\) \(\Delta =\partial^ 2/\partial x^ 2_ 1+\partial^ 2/\partial x^ 2_ 2,\) \(\mu (t,x_ 1,x_ 2)\) a given real ...
Dawson, D. A., Papanicolaou, G. C.
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The description of waves in a random medium propagating mainly in one direction leads to the random Schrödinger equation \(i \partial V/\partial t+\Delta V+\mu V=0,\) \(x\in (x_ 1,x_ 2)\in {\mathbb{R}}^ 2,\) \(V(0,x_ 1,x_ 2)=V_ 0(x_ 1,x_ 2),\) \(\Delta =\partial^ 2/\partial x^ 2_ 1+\partial^ 2/\partial x^ 2_ 2,\) \(\mu (t,x_ 1,x_ 2)\) a given real ...
Dawson, D. A., Papanicolaou, G. C.
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‘1001’ correlations in random wave fields
Waves in Random Media, 1996The coherence length Λcoh of a random wave field E(x,y) is defined as the characteristic distance over which the whole field, ensemble averaged autocorrelation function μ(Δx)= <E*(x,y)E(x+Δx,y)>/<|E(x,y)|2> decays to zero [1] A natural, indeed universal interpretation is that on length scales larger than Λcoh, different field structures ...
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Wave transmission by overtopping due to random waves
Ocean Engineering, 1988Abstract Experimental studies of wave transmission by overtopping for a smooth impermeable breakwater with 1:1.5 slope under both regular and random waves were conducted. A resulting relationship between the transmission coefficient (determined by wave height and wave period) and a breakwater height above mean water level normalized with the height ...
Ching-Her Hwang, Frederick L.W. Tang
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The Physics of Fluids, 1966
The physical theory of the detection and measurement of the intensity of random dispersive waves in the presence of noise is given. It is shown that a dispersive wave must travel a long distance from its source to be distinguishable from the background noise. Both the statistically stationary and non-stationary cases are discussed.
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The physical theory of the detection and measurement of the intensity of random dispersive waves in the presence of noise is given. It is shown that a dispersive wave must travel a long distance from its source to be distinguishable from the background noise. Both the statistically stationary and non-stationary cases are discussed.
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International Journal of Engineering Science, 1984
A Dyson equation is used for comparisons of different approximations for the calculation of the wave number of the ensemble averaged linear harmonic response of a discrete random medium. The Lax quasicrystalline approximation and its several ''self-consistent'' generalizations are compared. Formal arguments for the order of the errors incurred in these
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A Dyson equation is used for comparisons of different approximations for the calculation of the wave number of the ensemble averaged linear harmonic response of a discrete random medium. The Lax quasicrystalline approximation and its several ''self-consistent'' generalizations are compared. Formal arguments for the order of the errors incurred in these
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Wave-function collapse and objective randomness
Physics Letters A, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Giovannetti +3 more
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