A higher-order energy-conserving parabolic equation for range dependent ocean depth, sound speed, and density
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 approach of conserving energy is applied to derive a higher-order energy-conserving PE that provide...
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| Veröffentlicht in: | The Journal of the Acoustical Society of America 1991, Vol.89 (3), p.1068-1075 |
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| container_end_page | 1075 |
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| container_issue | 3 |
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| container_title | The Journal of the Acoustical Society of America |
| container_volume | 89 |
| creator | COLLINS, M. D WESTWOOD, E. K |
| description | 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 approach of conserving energy 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 Pade 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. |
| doi_str_mv | 10.1121/1.400526 |
| format | Article |
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| ispartof | The Journal of the Acoustical Society of America, 1991, Vol.89 (3), p.1068-1075 |
| issn | 0001-4966 1520-8524 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_15919239 |
| source | AIP Acoustical Society of America |
| subjects | Acoustics Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Underwater sound |
| title | A higher-order energy-conserving parabolic equation for range dependent ocean depth, sound speed, and density |
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