A generalization of WKBJ method for solving a system describing propagation of coupled modes in underwater acoustics

Petrov, P. S.; Kazak, M. S.; Petrova, T. M.

doi:10.1016/j.physleta.2022.128383

Cited by 4 publications

(1 citation statement)

References 17 publications

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“…are the matrix elements of the operator V. Equation ( 9) is similar to the perturbation theory for the Schrödinger equation in the way it is derived in [41], where the wave function of the perturbed (time-dependent) quantum system is represented in the form of expansion over the eigenstates of its counterpart with the time-independent Hamiltonian. Other approaches to the derivation of the mode coupling equations can be found in [11,40,[42][43][44].…”

Section: General Theorymentioning

confidence: 99%

Random Matrix Theory for Sound Propagation in a Shallow-Water Acoustic Waveguide with Sea Bottom Roughness

Makarov,

Petrov,

Uleysky

2023

JMSE

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The problem of sound propagation in a shallow sea with a rough sea bottom is considered. A random matrix approach for studying sound scattering by the water–bottom interface inhomogeneities is developed. This approach is based on the construction of a statistical ensemble of the propagator matrices that describe the evolution of the wavefield in the basis of normal modes. A formula for the coupling term corresponding to inter-mode transitions due to scattering by the sea bottom is derived. The Weisskopf–Wigner approximation is utilized for the coupling between waterborne and sediment modes. A model of a waveguide with the bottom roughness described by the stochastic Ornstein–Uhlenbeck process is considered as an example. Range dependencies of mode energies, modal cross coherences and scintillation indices are computed using Monte Carlo simulations. It is shown that decreasing the roughness correlation length enhances mode coupling and facilitates sound scattering.

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Section: General Theorymentioning

confidence: 99%

Random Matrix Theory for Sound Propagation in a Shallow-Water Acoustic Waveguide with Sea Bottom Roughness

Makarov,

Petrov,

Uleysky

2023

JMSE

Self Cite

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Modern Methods of Sound Propagation Modeling Based on the Expansion of Acoustic Fields over Normal Modes

Tyshchenko,

Kozitskii,

Kazak

et al. 2023

Acoust. Phys.

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Modern Methods of Sound Propagation Modeling Based on the Expansion of Acoustic Fields over Normal Modes

Tyshchenko,

Kozitskii,

Kazak

et al. 2023

Akustičeskij žurnal

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A review of modern methods of modeling acoustic fields based on their representation as a superposition of normal modes is presented. Most of the described methods are based on an approach to calculating mode amplitudes by solving parabolic equations of various types, both narrow-angle and wide-angle. We also consider two-dimensional methods for calculating acoustic fields, to which the above-mentioned three-dimensional approaches are reduced in the absence of dependence of the field and medium parameters on one of the horizontal coordinates. The computation of both time-harmonic acoustic fields and pulsed sound signals is discussed. A number of numerical examples are considered in which such calculations are performed taking into account three-dimensional sound propagation effects. For the first time within the framework of this approach, the calculation of particle accelerations at the pulse signal reception points, as well as the calculation of the energy density flux of the vector field were performed.

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A generalization of WKBJ method for solving a system describing propagation of coupled modes in underwater acoustics

Cited by 4 publications

References 17 publications

Random Matrix Theory for Sound Propagation in a Shallow-Water Acoustic Waveguide with Sea Bottom Roughness

Random Matrix Theory for Sound Propagation in a Shallow-Water Acoustic Waveguide with Sea Bottom Roughness

Modern Methods of Sound Propagation Modeling Based on the Expansion of Acoustic Fields over Normal Modes

Modern Methods of Sound Propagation Modeling Based on the Expansion of Acoustic Fields over Normal Modes

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