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A mode parabolic equation method in the case of the resonant mode interaction

Wave Motion, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Trofimov, M. Yu.   +2 more
openaire   +1 more source

Simulation of the pulse propagation by the interacting mode parabolic equation method

Computer Physics Communications, 2018
Abstract A broadband modeling of pulses has been performed by using the previously derived interacting mode parabolic equation through the Fourier synthesis. Test examples on the wedge with the angle 2.86 ∘ (known as the ASA benchmark) show excellent agreement with the source images method.
M. Yu. Trofimov   +2 more
openaire   +1 more source

On the mode parabolic equation method for the elastic media

2020 Days on Diffraction (DD), 2020
In this work we develop an approach to derivation of a system of mode parabolic equations for 3D layered elastic media without assumption of weak elasticity. This approach is based on the generalized multiscale expansions method.
openaire   +1 more source

Weak shear modulus in the acoustic mode parabolic equation

2016 Days on Diffraction (DD), 2016
By using the multiscale expansions method, we derive an elastic mode parabolic equation. As a small parameter, we choose the ratio of a typical wavelength to a typical size of horizontal inhomo-geneities. The shear modulus is of the order of the small parameter.
Mikhail Yu. Trofimov   +2 more
openaire   +1 more source

Mode functions for the wide-angle approximation to the parabolic equation

The Journal of the Acoustical Society of America, 1998
The parabolic approximation to the wave equation is examined within the context of normal mode theory. In a layered waveguide, the horizontal propagation constants and modal amplitudes of the field Ψ satisfying the standard parabolic equation (SPE) approximation can be mapped exactly into the amplitudes and wave numbers of the normal modes for the ...
Amy R. Smith, Kevin B. Smith
openaire   +1 more source

Parabolic equation modeling of normal mode propagation in a wedge

The Journal of the Acoustical Society of America, 1986
The parabolic equation model has been used to investigate the behavior of the “wedge modes” described in the experimental results of Hobaek, Tindle, and Muir [J. Acoust. Soc. Am. Suppl. 1 78, S70 (1985)] for propagation in a shallow water wedge. The wavefronts of wedge modes are not vertical, but are curved into arcs of circles centered on the wedge ...
Finn B. Jensen, C. T. Tindle
openaire   +1 more source

The adiabatic mode parabolic equation

The Journal of the Acoustical Society of America, 1993
An efficient method is developed for solving problems involving three-dimensional acoustic propagation in a thin spherical shell. The method is based on the adiabatic mode approximation, which assumes that energy coupling between modes is negligible, and the parabolic equation (PE) method, which efficiently handles spatial variations in the acoustic ...
openaire   +1 more source

Wave mode computing method using the step-split Padé parabolic equation

Chinese Physics B, 2022
Models based on a parabolic equation (PE) can accurately predict sound propagation problems in range-dependent ocean waveguides. Consequently, this method has developed rapidly in recent years. Compared with normal mode theory, PE focuses on numerical calculation, which is difficult to use in the mode domain analysis of sound propagation, such as the ...
Chuan-Xiu Xu, Guang-Ying Zheng
openaire   +1 more source

Curved oversized EM waveguides: adiabatic modes and parabolic equation

International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367), 1999
Two alternative representations of the wave field in a curved oversized electromagnetic waveguide are discussed: adiabatic modes, matched to the local value of the axis curvature, and full-wave solution of the vectorial parabolic equation. The latter, although being asymptotically equivalent to the adiabatic mode theory, displays additional diffraction
A.V. Popov, null Ning Yan Zhu
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Comparison of parabolic equation and coupled mode solutions to seismo-acoustic problems

The Journal of the Acoustical Society of America, 2011
Parabolic equation methods that use the single scattering approximation and improved rotated coordinate methods generate accurate and efficient solutions for range-dependent underwater acoustic problems with elastic sediments. Recently these methods have demonstrated the conversion of acoustic energy in a fluid into shear propagation in an underlying ...
Scott D. Frank   +3 more
openaire   +1 more source

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