Geodesic
Uniform dispersion equation in the multichannal problem
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 10, Tome 89 (1979), pp. 71-83

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Uniform dispersion equation for multichannal problem is obtained. The authors consider the transformation of eigenvalues and eigenfunctions of two waveguides separated by antiwaveguide barrier to eigenvalues and eigenfunctions of a composed waveguide. 
@article{ZNSL_1979_89_a4,
     author = {V. S. Buldyrev and N. S. Grigor'ev},
     title = {Uniform dispersion equation in the multichannal problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {71--83},
     publisher = {mathdoc},
     volume = {89},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_89_a4/}
}
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V. S. Buldyrev; N. S. Grigor'ev. Uniform dispersion equation in the multichannal problem. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 10, Tome 89 (1979), pp. 71-83. http://geodesic.mathdoc.fr/item/ZNSL_1979_89_a4/