Large range step method for acoustic waveguide with two layer media
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 820-825 |
| Journal / Publication | Progress in Natural Science |
| Volume | 12 |
| Issue number | 11 |
| Publication status | Published - Nov 2002 |
Link(s)
| Document Link | Links |
|---|---|
| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-31244435266&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(ea401b40-32a5-42b9-b2d3-fefd409ae5a8).html |
Abstract
A numerical method is developed for solving the two-dimensional Helmholtz equation in a two-layer bounded by a flat top, a flat bottom and a curved interface. A better local orthogonal transformation is used to flatten the curved interface of the waveguide. The one-way re-formulation based on the Dirichlet-to-Neurmann (DtN) map is then used to reduce the boundary value problem to an initial value problem. The numerical implementation of the resulting operator Riccati equation uses a large range step method for discretizing the range variable and a truncated local eigenfunction expansion for approximating the operators. This method is particularly useful for solving long range wave propagation problems in slowly varying waveguides.
Research Area(s)
- Acoustic waveguide, Helmholtz equation, Marching method, Numerical solution
Citation Format(s)
Large range step method for acoustic waveguide with two layer media. / Zhu, Jianxin; Lu, Yayan.
In: Progress in Natural Science, Vol. 12, No. 11, 11.2002, p. 820-825.
In: Progress in Natural Science, Vol. 12, No. 11, 11.2002, p. 820-825.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
