Geodesic
Diffraction by a~narrow cone at skew incidence
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 46, Tome 451 (2016), pp. 5-13

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The scalar problem of plane wave diffraction by a narrow cone is considered. The angle of the cone $\alpha$ and the angle of incidence are assumed to be small and the field is studied in a boundary layer near the surface at such distances $z$ from the cone tip that $kz\sim\alpha^{-2}$. The parabolic equation method is applied and the leading order approximation is constructed in the form of an integral. 
@article{ZNSL_2016_451_a0,
     author = {I. V. Andronov},
     title = {Diffraction by a~narrow cone at skew incidence},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--13},
     publisher = {mathdoc},
     volume = {451},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_451_a0/}
}
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I. V. Andronov. Diffraction by a~narrow cone at skew incidence. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 46, Tome 451 (2016), pp. 5-13. http://geodesic.mathdoc.fr/item/ZNSL_2016_451_a0/