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The semiclassical theory
Published in M. G. Benedict, A. M. Ermolaev, V. A. Malyshev, I. V. Sokolov, E. D. Trifonov, Super-radiance, 2018
M. G. Benedict, A. M. Ermolaev, V. A. Malyshev, I. V. Sokolov, E. D. Trifonov
Here ω0 is the frequency of the incident field, ωs = ω0 − ω21 is the scattered Stokes’ frequency, dik are the transition dipole moments, E0 is the field amplitude at the incident frequency and Es is the Stokes’ wave amplitude. The imposed conditions (5.8.1) allow us to neglect the effect of the incident field ε0 on the transition 2 ↔ 3 and the effect of the Stokes’ field εs on the transition 1 ↔ 3. The transition 1 ↔ 2 can be neglected, as well.
Impulse waves in reservoirs
Published in Willi H. Hager, Anton J. Schleiss, Robert M. Boes, Michael Pfister, Hydraulic Engineering of Dams, 2020
Willi H. Hager, Anton J. Schleiss, Robert M. Boes, Michael Pfister
In summary, the wave types of subaerial landslide-generated impulse waves are studied based on Froude similitude and a total of 434 granular slide tests. The effects of the 7 governing parameters, namely the still water depth h, slide impact velocity Vs, slide thickness s, bulk slide volume Vs, bulk slide density ρs, slide impact angle α, and grain diameter dg, are systematically considered. The wave types were determined by optical wave profile inspection. The main conclusions are: Wave type classification is based on wave type product T = S1/3Mcos[(6/7)α] and slide Froude number F.Parameters for wave type classification are F = Vs/(gh)1/2, slide thickness S = s/h, and relative slide mass M = ms/(ρwbh2). The slide impact angle α affects the wave type with cos[(6/7)α] whereas the effect of the relative grain diameter is small.Four wave and transient types are described with four nonlinear wave theories, namely the Stokes wave, cnoidal wave, solitary wave, and bore theory. The proposed wave type classification applies in practice since it depends only on basic slide parameters or the still water depth to be estimated prior to an event.
Lasers for Spectroscopy
Published in Leon J. Radziemski, Richard W. Solarz, Jeffrey A. Paisner, Laser Spectroscopy and Its Applications, 2017
When the Stokes waves grows so intense that it has an amplitude comparable to that of the pump, the Stokes wave can itself serve as a pump wave and generate higher-order Stokes waves by successive Raman scattering steps. The Stokes wave at a frequency ωS = ωp − ωR produces gain at a frequency ωS2 = ωS − ωR, an the second Stokes wave ωS2 shifted 2ωR from the pump can grow to a high intensity. Higher-order Stokes waves can follow in succession by the same process.
Numerical analysis on random wave-induced porous seabed response
Published in Marine Georesources & Geotechnology, 2018
Xiang-Lian Zhou, Jun Zhang, Hao-Jie Lv, Jin-Jian Chen, Jian-Hua Wang
Based on the input tabulated in Table 1, a comparison between Stokes wave, cnoidal wave, and random wave-induced soil responses can be conducted. Stokes wave is a nonlinear and periodic surface wave on an inviscid fluid layer of constant mean depth, which is of direct practical use for waves on intermediate and deep water. Cnoidal wave is in terms of the Jacobi elliptic function cn, which is used to describe surface gravity waves of fairly long wavelength, as compared to the water depth.