Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway.
J Acoust Soc Am. 2010 Oct;128(4):1590-7. doi: 10.1121/1.3479545.
For the problem of edge diffraction from an edge of finite length a frequency-domain solution, obtained from an analytical time-domain solution, has been presented by Svensson et al. [Acta. Acust. Acust. 95, 568-572]. This formulation takes the form of a Fourier-type integral whose evaluation is expensive in the high frequency range. This paper demonstrates that by using tailored highly oscillatory quadrature methods based on asymptotic properties of the integral, accurate approximations in the high frequency case can be obtained with little computational effort.
针对有限长度边缘的边缘衍射问题，Svensson 等人[Acta. Acust. Acust. 95, 568-572]从解析时域解中得到了频域解。该公式采用傅里叶型积分的形式，在高频范围内计算代价很高。本文证明，通过使用基于积分渐近特性的定制的高度振荡求积方法，可以以较小的计算代价在高频情况下获得精确的近似值。
