We introduce the equivalent sources for the Helmholtz equation and estab-lish their connections to the naturally induced sources for the sound-soft,sound-hard,and impedance obstacles for the inverse scattering problem...We introduce the equivalent sources for the Helmholtz equation and estab-lish their connections to the naturally induced sources for the sound-soft,sound-hard,and impedance obstacles for the inverse scattering problems of the Helmholtz equation.As two applications,we employ the naturally induced sources to improve the bound-ary integral equation formulations for the obstacle scattering problems,and develop a unified,straightforward approach to establishing boundary conditions governing the domain derivatives of scattered waves for the soft,hard,and impedance obstacles.展开更多
文摘We introduce the equivalent sources for the Helmholtz equation and estab-lish their connections to the naturally induced sources for the sound-soft,sound-hard,and impedance obstacles for the inverse scattering problems of the Helmholtz equation.As two applications,we employ the naturally induced sources to improve the bound-ary integral equation formulations for the obstacle scattering problems,and develop a unified,straightforward approach to establishing boundary conditions governing the domain derivatives of scattered waves for the soft,hard,and impedance obstacles.
