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

Trofimov, M. Yu.; Kozitskiy, Sergey B.; Zakharenko, A. D.

doi:10.1016/j.wavemoti.2015.06.003

Cited by 30 publications

(11 citation statements)

References 12 publications

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“…Представленные ниже теоретические расчеты основываются на приближении модового параболического уравнения (МПУ), полученного с помощью метода многомасштабных разложений для слоистой среды с произвольным количеством слоев [5]. Модельные расчеты проводятся в неоднородном 3D-геоакустическом волноводе, в котором, как правило, известен пространственный профиль дна и распределение скорости звука в водном слое.…”

Section: результаты численного моделированияunclassified

Energy Propagation of the Low-Frequency Pulse Energy in Vityaz Bay

Manul’chev¹

2020

Физики Геосфер

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Представлены результаты натурных исследований распространения низкочастотного акустического импульсного сигнала в бухте Витязь, Японское море. Измерения были проведены с помощью цифровых радиогидроакустических буев и импульсного пневмоизлучателя, свешиваемого с борта катера. Показано, что на трассе длиной 2,2 км со средней глубиной 30 м формируется сигнал в виде двух импульсов с соизмеримыми амплитудами и с задержкой 0,19 с, что, по-видимому, связано с наличием накопленного в бухте осадочного слоя. Данное предположение подтверждается численным моделированием путем введения в модельный волновод песочно-илистой подложки как канала распространения энергии импульсного сигнала. The paper presents the results of field studies on the propagation of a low- frequency acoustic pulse signal in Vityaz Bay, Japanese Sea. The measurements were carried out using digital radio-acoustic buoys and a pulsed air emitter hanging from the side of the boat. It was shown that on a 2.2 km long path with an average depth of 30 m, a signal is formed in the form of two pulses with comparable amplitudes and with a delay of 0.19 s, which is apparently due to the presence of a sedimentary layer accumulated in the bay. This assumption is confirmed by numerical simulation by introducing into the model waveguide a sandy-silty substrate as a pulse energy signal propagation channel.

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Section: результаты численного моделированияunclassified

Energy Propagation of the Low-Frequency Pulse Energy in Vityaz Bay

Manul’chev¹

2020

Физики Геосфер

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“…6-8), we also investigate the cross-slope sound propagation for the standard ASA wedge benchmark up to distance 25 km, but for the resonant bottom depth (see Fig. 5) in the sense of work [14]. In Fig.…”

Section: Numerical Experimentsmentioning

confidence: 99%

Mode Gaussian beam tracing

Trofimov

Zakharenko

Kozitskiy

2016

Computer Physics Communications

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“…In this case, the distribution of k j (x, y) plays the role of effective refractive index for horizontal rays [5,7]. In many similar sound propagation models (e.g., in the mode parabolic equation theory [8][9][10]), variation of media parameters in the horizontal plane also influences acoustical field via the corresponding variability of horizontal wavenumbers in Equation (2) and eigenfunctions in Equation (1).…”

Section: Introductionmentioning

confidence: 99%

Improving the Performance of Mode-Based Sound Propagation Models by Using Perturbation Formulae for Eigenvalues and Eigenfunctions

Zakharenko¹,

Trofimov²,

Petrov³

2021

JMSE

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Numerous sound propagation models in underwater acoustics are based on the representation of a sound field in the form of a decomposition over normal modes. In the framework of such models, the calculation of the field in a range-dependent waveguide (as well as in the case of 3D problems) requires the computation of normal modes for every point within the area of interest (that is, for each pair of horizontal coordinates x,y). This procedure is often responsible for the lion’s share of total computational cost of the field simulation. In this study, we present formulae for perturbation of eigenvalues and eigenfunctions of normal modes under the water depth variations in a shallow-water waveguide. These formulae can reduce the total number of mode computation instances required for a field calculation by a factor of 5–10. We also discuss how these formulae can be used in a combination with a wide-angle mode parabolic equation. The accuracy of such combined model is validated in a series of numerical examples.

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

Cited by 30 publications

References 12 publications

Energy Propagation of the Low-Frequency Pulse Energy in Vityaz Bay

Energy Propagation of the Low-Frequency Pulse Energy in Vityaz Bay

Mode Gaussian beam tracing

Improving the Performance of Mode-Based Sound Propagation Models by Using Perturbation Formulae for Eigenvalues and Eigenfunctions

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