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ACOUSTIC WAVEFRONT TRACING IN INHOMOGENEOUS, MOVING MEDIA

Department of Electrical, Energy and Computer Engineering and Cooperative, Institute for Research in Environmental Sciences, University of Colorado at Boulder, Boulder, Colorado 80309, USA

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OLEG A. GODIN

Cooperative Institute for Research in Environmental Sciences, University of Colorado at Boulder, USA

NOAA/ESRL, Physical Sciences Division, Boulder, Colorado 80305, USA

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PAUL C. SAVA

Center for Wave Phenomena, Colorado School of Mines, Golden, CO 80401, USA

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, and

LIUDMILA Y. ZABOTINA

Department of Electrical, Energy and Computer Engineering, University of Colorado at Boulder, Boulder, Colorado 80309, USA

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https://doi.org/10.1142/S0218396X12500099Cited by:1 (Source: Crossref)

Abstract

We extend the Huygens wavefront tracing algorithm, which is a part of an open source Madagascar project, to sound propagation in inhomogeneous, moving media and apply it to a series of benchmark tasks. One set of tasks admits exact analytic solutions and serves the purpose of validation of the new algorithm. Another set of calculations demonstrates applicability of the algorithm to the studies of wavefront dynamics and stability in ocean and atmospheric acoustics. The method is based on a system of differential equations equivalent to the eikonal equation, but formulated in the ray coordinate system. In this paper, we present a first-order, two-dimensional discretization scheme that is interpreted very simply in terms of the Huygens' principle. The method has proved to be a convenient alternative to conventional ray tracing.

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