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若干特殊区域的逆散射惟一性问题

Uniqueness in Some Special Obstacles for Inverse Scattering Problem
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摘要 通过应用Helmholtz方程延拓公式,对其解的性质进行了详细的探讨分析,证明了对Sound-hard和Sound-soft情况下的二维圆形或椭圆形区域的逆散射问题,通过一个入射波能惟一识别该圆形或椭圆形区域. The uniqueness of the inverse acoustic scattering problem within circular and elliptical domains by a single incident direction in the sound-soft case and the sound-hard case is found. The proof is based on the reflection solution of the Helmholtz equation.
作者 王立峰
机构地区 复旦大学数学科学学院
出处 《复旦学报（自然科学版）》 CAS CSCD 北大核心 2009年第2期174-181,188,共9页 Journal of Fudan University：Natural Science
关键词 逆散射 HELMHOLTZ方程 惟一性 延拓 马丢方程 inverse scattering Helmholtz equation uniqueness reflection Mathieu function
分类号 O175.2 [理学—基础数学]
  • 相关文献

参考文献19

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二级参考文献18

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复旦学报（自然科学版）
2009年 第2期

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