A higher-order energy-conserving parabolic equqation for range-dependent ocean depth, sound speed, and density
作者:
Michael D. Collins,
Evan K. Westwood,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1991)
卷期:
Volume 89,
issue 3
页码: 1068-1075
ISSN:0001-4966
年代: 1991
DOI:10.1121/1.400526
出版商: Acoustical Society of America
数据来源: AIP
摘要:
Outgoing solutions of the wave equation, including parabolic equation (PE) and normal-mode solutions, are usually formulated so that pressure is continuous with range for range-dependent problems. The accuracy of normal-mode solutions has been improved by conserving energy rather than maintaining continuity of pressure [Porter et al., “The problem of energy conservation in one-way equations,” J. Acoust. Soc. Am.89, 1058–1067 (1991)]. This approach is applied to derive a higher-order energy-conserving PE that provides improved accuracy for problems involving large ocean bottom slopes and large range and depth variations in sound speed and density. A special numerical approach and complex Padé coefficients are applied to suppress Gibbs’ oscillations. The back-propagated half-space field, an improved PE starter, is applied to handle wide propagation angles. Reference solutions generated with a complex ray model and with the rotated PE are used for comparison.
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