Geodesic
On scattering of $H$-polarized electromagnetic field by ideal conductive cylinder with narrow lengthwise split of finite depth
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 23, Tome 210 (1994), pp. 65-72

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The Neumann boundary value problem on plane associated with scattering of $H$-polarized electromagnetic field by ideal conductive cylinder with a narrow lengthwise split of finite depth was considered. Asymptotics respect with to a small parameter (width of split) of solution poles with a small imaginary part was constructed. It has shown that these poles have resonant nature. Bibliography: 5 titles. 
@article{ZNSL_1994_210_a6,
     author = {R. R. Gadyl'shin},
     title = {On scattering of $H$-polarized electromagnetic field by ideal conductive cylinder with narrow lengthwise split of finite depth},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {65--72},
     publisher = {mathdoc},
     volume = {210},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a6/}
}
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R. R. Gadyl'shin. On scattering of $H$-polarized electromagnetic field by ideal conductive cylinder with narrow lengthwise split of finite depth. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 23, Tome 210 (1994), pp. 65-72. http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a6/