Algorithms for numerical modeling of high-frequency acoustic sounding processes in the ocean
Authors
-
Polina A. Vornovskikh
-
Igor V. Prokhorov
-
Ivan P. Yarovenko
Keywords:
acoustic sounding
radiative transfer equation
inverse problem
scattering coefficient
function discontinuity surfaces
Abstract
In this paper, we present a kinetic model for sound propagation in a fluctuating marine environment based on an integro-differential radiative transfer equation. The paper formulates an inverse problem for the radiative transfer equation with a localized pulsed sound source to determine the discontinuity surfaces of the scattering coefficient from the known time-angular density flux distribution. We develop a numerical algorithm to solve the inverse problem, based on introducing a special indicator function that identifies the locations of the sought surfaces. Computer simulations of the probing process at frequencies from 100 to 600 kHz demonstrate the effectiveness of algorithm proposed in identifying the boundaries of inhomogeneities at long distances.
Section
Methods and algorithms of computational mathematics and their applications
Author Biographies
Igor V. Prokhorov
Institute of Applied Mathematics FEB RAS
• Chief Researcher
Ivan P. Yarovenko
Institute of Applied Mathematics FEB RAS
• Senior Researcher
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