Geodesic
Ray-mode representations of the Green function in a three-dimensional homogeneous waveguide
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 163-172

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The wave field generated by the point source in a three-dimensional homogeneous cylindrical waveguide of a rather arbitrary cross-section is considered. The approach to the construction of hybrid ray-mode representations of the wave field and to the transformation of ray set into modes and visa versa is suggested. 
@article{ZNSL_1989_179_a18,
     author = {V. P. Smyshlyaev},
     title = {Ray-mode representations of the {Green} function in a three-dimensional homogeneous waveguide},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {163--172},
     publisher = {mathdoc},
     volume = {179},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a18/}
}
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V. P. Smyshlyaev. Ray-mode representations of the Green function in a three-dimensional homogeneous waveguide. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 163-172. http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a18/