Inverse scattering problems and the enclosure method

Masaru Ikehata
2004 Inverse Problems  
We show that the enclosure method introduced here is applicable to inverse scattering problems in two dimensions. Using the single set of the Cauchy data of a solution of the Helmholtz equation, we give some formulae for extracting the value of the support functions of unknown sound-hard polygonal obstacles and piecewise linear cracks from the set. AMS: 35R30
doi:10.1088/0266-5611/20/2/014 fatcat:u2ytcq4p7ra43kq7eorrjgsvbq