Diffraction of a Plane Wave by a Circular Cone with an Impedance Boundary Condition

@article{Antipov2002DiffractionOA,
title={Diffraction of a Plane Wave by a Circular Cone with an Impedance Boundary Condition},
author={Y. A. Antipov},
journal={SIAM Journal of Applied Mathematics},
year={2002},
volume={62},
pages={1122-1152}
}

We consider the boundary-value problem for the Helmholtz equation in a circular cone with an impedance boundary condition on its face. A new approach for its solution is proposed. The scheme of solution includes applying the Kontorovich–Lebedev transform, derivation of a secondorder difference equation in a strip of a complex variable, and reduction of the latter to an integral equation of the convolution type with variable coefficients. It is also shown that the equation is equivalent to a 2… CONTINUE READING