摘要
Based on Fourier-Bessel series expansion of wave functions,an analytical solution to 2-D scattering ofincident plane SV waves by circular cylindrical canyons with variable depthto-width ratios is deduced in this paper. Unlike other analytical solutions,this paper uses the asymptotic behavior of the cylindrical function to directly define the undetermined coefficients of scattered waves,thus,avoiding solving linear equation systems and the related numerical computation problems under high-frequency incident waves,thereby broadening the applicable frequency range of analytical solutions. Through comparison with existing analytical solutions,the correctness of this solution is demonstrated. Finally, the incident plane SV wave scattering effect under circular cylindrical canyons in wider frequency bands is explored.
Based on Fourier-Bessel series expansion of wave functions, an analytical solution to 2-D scattering of incident plane SV waves by circular cylindrical canyons with variable depthto-width ratios is deduced in this paper. Unlike other analytical solutions, this paper uses the asymptotic behavior of the cylindrical function to directly define the undetermined coefficients of scattered waves, thus, avoiding solving linear equation systems and the related numerical computation problems under high-frequency incident waves, thereby broadening the applicable frequency range of analytical solutions. Through comparison with existing analytical solutions, the correctness of this solution is demonstrated. Finally, the incident plane SV wave scattering effect under circular cylindrical canyons in wider frequency bands is explored.
基金
sponsored by the National Natural Science Foundation of China (50608066)
the National Science and Technology Pillar Program of China(2006BAC13B02)
