ASA 129th Meeting - Washington, DC - 1995 May 30 .. Jun 06

5pUW9. A generalized wave-number method for solving waveguide scattering problems.

John A. Fawcett

SACLANT Undersea Res. Ctr., Viale San Bartolomeo, 400, 19038 La Spezia, Italy

A general plane-wave decomposition method for solving scattering problems for objects in a possibly range-dependent oceanic waveguide is presented. The waveguide's interfaces and objects within the waveguide are characterized by plane-wave scattering matrices. The total response of the medium can be computed by combining these matrices using an invariant embedding approach. This operator formalism is independent of the method used to solve the individual free-space objector interface scattering problems. The method is derived from the theory of generalized reflection operators [B. L. N. Kennett, Wave Motion 6, 419--429 (1984)] and is also closely related to some T-matrix formulations [G. Kristensson and S. Strom, 917--936 (1978)]. The generalized wave-number method is used to compute scattering from a cylinder in perfect and penetrable waveguides. The case of a bottom sloping interface is also considered. For some of the examples, a comparison is made with the results from other computational techniques.