A uniformly valid far field asymptotic expansion of the green function for two-dimensional propagation above a homogeneous impedance plane
A uniformly valid far field asymptotic expansion of the green function for two-dimensional propagation above a homogeneous impedance plane
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均匀有效的二维传播格林函数的远场渐近展开均匀阻抗平面
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
D. Hothersall
中科院分区：
文献类型：
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作者：
S. Chandler;D. Hothersall
本文导出了柱面波在均匀阻抗平面上反射问题的远场广义渐近展开式。膨胀被证明是一致有效的所有角度的入射和表面阻抗值，包括零和无限阻抗的极限情况。所使用的技术是Ott [1]的修改的最速下降法的严格应用。
Abstract A generalized asymptotic expansion in the far field for the problem of cylindrical wave reflection at a homogeneous impedance plane is derived. The expansion is shown to be uniformly valid over all angles of incidence and values of surface impedance, including the limiting cases of zero and infinite impedance. The technique used is a rigorous application of the modified steepest descent method of Ott [1].