Let D be a bounded,simply connected domain in the plane and let F(θ, k, αn.)be the far field pattern arising from acoustic plane wave un(x) = exp(ikx·αn),where αn is a unit vecter and k is the wave number. It...Let D be a bounded,simply connected domain in the plane and let F(θ, k, αn.)be the far field pattern arising from acoustic plane wave un(x) = exp(ikx·αn),where αn is a unit vecter and k is the wave number. It is assumed that the total filed satisfied homogeneous Dirichlet boundary condition on D. In this paper, a method is presented for recovering D given the far field patterns F(θ, k, αn) for all θ in some interval [a, a + ] strictly contained in [0, 2π] and a numerical method and some examples are presented.展开更多
文摘Let D be a bounded,simply connected domain in the plane and let F(θ, k, αn.)be the far field pattern arising from acoustic plane wave un(x) = exp(ikx·αn),where αn is a unit vecter and k is the wave number. It is assumed that the total filed satisfied homogeneous Dirichlet boundary condition on D. In this paper, a method is presented for recovering D given the far field patterns F(θ, k, αn) for all θ in some interval [a, a + ] strictly contained in [0, 2π] and a numerical method and some examples are presented.
