Acoustic pulse propagation in a non-ideal shallow-water model

📝 Original Info

• Title: Acoustic pulse propagation in a non-ideal shallow-water model
• ArXiv ID: 2511.09257
• Date: 2025-11-12
• Authors: (저자 정보가 제공되지 않았으므로 논문에 명시된 저자명을 여기에 기재하십시오.)

📝 Abstract

This study develops a theoretical framework for modeling acoustic pulse propagation in a non-ideal shallow-water waveguide. We derive an ε-pseudodifferential operator (ε-PDO) formulation from the general three-dimensional wave equation, that accounts for vertical stratification, bottom interaction, and slow horizontal inhomogeneity. Using the operator separation of variables method and the WKB-ansatz, we obtain single-mode equations describing the evolution of amplitude and phase along rays. The approach incorporates non-self-adjoint operators to model energy leakage through the bottom and introduces a Hamiltonian formalism for eikonal and transport equations, enabling the computation of amplitude, time, and phase fronts. Analytical and numerical examples are provided for different boundary conditions, including Neumann (ideal), self-adjoint, and partially reflecting interfaces. The results extend previous semiclassical and ray-based theories of wave propagation by including dissipative effects and improving the physical realism of shallow-water acoustic modeling.

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