Abstract:To the inverse acoustic and electromagnetic scattering theroy, the study of the properties of the corresponding far field operator for inverse transmission problem are essential for numerical approximation, i. e., from the knowledge of the field patterns to the shape of the scattering. This paper studies a special type of transmission problem which model the scattering of incident plane waves by a penetrable obstacle. It gets the normality and the condition of infectivity of the far field operator by the boundary integral equation method. Studying an inverse problem always requires a solid knowledge of the theory for the corresponding direct problem. It proves the existence and uniqueness of the direct transmission problem by potential theory and Fredholm theorem.
收稿日期: 2006-02-25
引用本文:
邓霞. 传输问题远场算子的性质[J]. , 2006, 45(2): 0-0.
邓霞. The properties of the far field operator for the transmission problem. , 2006, 45(2): 0-0.