Resonance scattering of plane waves by a soft elliptic cavity with a variably placed longitudinal slit

Using previous results [Vinogradova, J. Acoust. Soc. Am. 144(3), 1146–1153 (2018)] on the spectrum of complex eigenvalues for an open elliptic cavity with variably placed longitudinal slits, the author investigates the resonance excitation of such a cavity by obliquely incident plane waves. The complete investigation of the resonance response is based on accurate calculation of the monostatic and bi-static sonar cross-sections, as well as calculation of the jump in normal velocity at the cavity surface. High-accuracy calculations are obtained by employing the rigorous Method of Analytical Regularization. Furthermore, studies of semi-elliptic cavities with high eccentricities, modelling the extremely deep acoustical cavities, are also performed.