Geodesic
On some method of point source field calculation in waveguide
Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part I, Tome 99 (1980), pp. 146-156

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The representation of the point source field in the waveguide with a quadratic refraction index is obtained in the form of the sum of normal and geometric waves and a remainder. The sufficient conditions on are found the number of the separated normal and geometric waves. The simple formulae for the remainder is given. 
@article{ZNSL_1980_99_a13,
     author = {V. B. Philippov},
     title = {On some method of point source field calculation in waveguide},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {146--156},
     publisher = {mathdoc},
     volume = {99},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a13/}
}
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V. B. Philippov. On some method of point source field calculation in waveguide. Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part I, Tome 99 (1980), pp. 146-156. http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a13/