摘要
讨论声散射理论中的透射问题和逆散射问题中的远场谱及其性质,证明了远场谱F(x,k;a)满足恒等式F(x,k;a)=F(-a,k;-x). 另得到了透射问题的Herglotz波函数的核函数g(x)
This paper discusses the problem about the far field patterns of transmission in scattering theory for acoustic waves. The far patterns F(x,k;α) satisfy the following equation: F(x,K;α) =F(-α,k;-x).
The relation between the far pattern and the kernal function g(x) of the Herglotz wave function of the transmission in scattering theory for acoustic waves is obtained.
出处
《复旦学报(自然科学版)》
CAS
CSCD
北大核心
1992年第4期380-386,共7页
Journal of Fudan University:Natural Science
基金
国家自然科学基金资助课题
关键词
散射
远场谱
透射
声波
scattered pobrlem
Herglotz wave function
far pattern
transmission problem