Effective representation of sound propagation in ocean using Hartree-Fock Bogoliubov theory

Abstract

Physical insight into the complexities of sound propagation in the ocean can be achieved by considering effective waveguides; for example, Zhao et al., “Modeling of Green's function with bottom reflective parameters (P,Q) instead of Geoacoustic parameters,” J. C. A. 22(1), 1440005, (2014).). In principle, effective waveguide representations can enhance the efficacy of solving the statistical inverse problem. Inspired by such work, an attempt is made to utilize methods to solve the quantum many-body problem. One way to solve the nuclear many-body problem (NMBP) is to transform a group of strongly interacting particles into a set of weakly interacting particles within a potential that results from the collective nature of the two-body interactions. The most noteworthy of these approaches is the Hartree-Fock-Bogoliubov (HFB) theory. In analogy with the NMBP we replace an ocean acoustics problem that is described by a set of strongly coupled modes with a self-consistent modal potential that contains all the long-range quasi-mode correlations. Computational results are provided that compares the standard coupled mode solution to the HFB generated solution.