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Journal of Marine Science and Engineering, 2022 In this work, a mode parabolic equation method with interacting modes accounting for the weak elasticity at the bottom is developed. An important feature of the proposed method is that computations of elastic modes are avoided and that the solution is ...
Sergey Kozitskiy
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Journal of Computational Physics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pavel Petrov, Xavier Antoine
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A ray mode parabolic equation for shallow water acoustics propagation problems [PDF]
Proceedings of the International Conference Days on Diffraction 2013, 2013 Ray mode parabolic equations which are suitable for shallow water acoustics propagation problems are derived by the multiple-scale method.
M Yu Trofimov
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Mode coupling in a coastal wedge due to quasi-crossing of range-dependent modal eigenvalues [PDF]
JASA Express Letters, 2023 A specific mechanism of mode coupling in a waveguide propagation is studied when two range-dependent eigenvalues approach each other. This phenomenon is analogous to the so-called quasi-crossing of states in atomic physics (Landau–Zener theory).
Yanyu Jiang +2 more
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Modeling the heat balance of a solar concentrator heliopyrolysis device reactor [PDF]
BIO Web of Conferences, 2023 The article presents the principle scheme of the heliopyrolysis device with a solar concentrator and the mathematical model of the equations representing the heat balance of the heliopyrolysis reactor.
Uzakov G.N. +3 more
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Journal of Marine Science and Engineering, 2023 In this study formal derivation of mode coupling equations in underwater acoustics is revisited. This derivation is based on the method of multiple scales from which modal expansion of the field emerges, and the vectorized WKBJ equation for the ...
Mikhail Trofimov +3 more
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Parabolic approximation method for the mode conversion-tunneling equation [PDF]
Physics of Fluids B: Plasma Physics, 1987 The derivation of the wave equation which governs ICRF wave propagation, absorption, and mode conversion within the kinetic layer in tokamaks has been extended to include diffraction and focussing effects associated with the finite transverse dimensions of the incident wavefronts.
Phillips, C. K. +3 more
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Mode vector parabolic equation [PDF]
The Journal of the Acoustical Society of America, 1995 A mode vector parabolic equation (MVPE) is derived for the propagation of normal modes in the ocean waveguide. This model, which includes mode coupling, is a generalization of the adiabatic mode PE [M. D. Collins, 2269 (1993)]. The main features of this model are: (1) It is based on an initial value differential equation which propagates normal modes ...
Ahmad T. Abawi +3 more
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Caustics of Non-Paraxial Perfect Optical Vortices Generated by Toroidal Vortex Lenses
Photonics, 2021 In this paper, we consider the comparative formation of perfect optical vortices in the non-paraxial mode using various optical elements: non-paraxial and parabolic toroidal vortex lenses, as well as a vortex axicon in combination with a parabolic lens ...
Svetlana N. Khonina +3 more
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Static stability of higher order functionally graded beam under variable axial load
Alexandria Engineering Journal, 2020 This article investigates effects of axial load distribution on buckling loads and their modes of functionally graded (FG) beams including a shear effect for the first time, since all previous studies focused on constant axial load.
A. Melaibari +3 more
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