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Coupled-Mode Parabolic Equations for the Modeling of Sound Propagation in a Shallow-Water Waveguide with Weak Elastic Bottom

open access: yesJournal 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
doaj   +4 more sources

Pseudodifferential adiabatic mode parabolic equations in curvilinear coordinates and their numerical solution

open access: yesJournal of Computational Physics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pavel Petrov, Xavier Antoine
exaly   +4 more sources

A ray mode parabolic equation for shallow water acoustics propagation problems [PDF]

open access: yesProceedings 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.
Trofimov, M. Yu., Zakharenko, A. D.
exaly   +3 more sources

Variational approach to multimode nonlinear optical fibers [PDF]

open access: yesNanophotonics
We analyze the spatiotemporal solitary waves of a graded-index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schrödinger equation approach, we derive an effective one-dimensional Lagrangian associated with the
Lorenzi Francesco, Salasnich Luca
doaj   +2 more sources

Mode coupling in a coastal wedge due to quasi-crossing of range-dependent modal eigenvalues [PDF]

open access: yesJASA 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
doaj   +1 more source

Modeling the heat balance of a solar concentrator heliopyrolysis device reactor [PDF]

open access: yesBIO 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
doaj   +1 more source

Formal Derivations of Mode Coupling Equations in Underwater Acoustics: How the Method of Multiple Scales Results in an Expansion over Eigenfunctions and the Vectorized WKBJ Solution for the Amplitudes

open access: yesJournal 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
doaj   +1 more source

Mode vector parabolic equation [PDF]

open access: yesThe 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
openaire   +1 more source

Parabolic approximation method for the mode conversion-tunneling equation [PDF]

open access: yesPhysics of Fluids B: Plasma Physics, 1989
The derivation of the wave equation that governs ion cyclotron range of frequencies (ICRF) wave propagation, absorption, and mode conversion within the kinetic layer in tokamaks has been extended to include diffraction and focusing effects associated with the finite transverse dimensions of the incident wave fronts.
C. K. Phillips   +3 more
openaire   +3 more sources

Caustics of Non-Paraxial Perfect Optical Vortices Generated by Toroidal Vortex Lenses

open access: yesPhotonics, 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
doaj   +1 more source

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