Analysis of the 3D acoustic cloaking problems using optimization method

All-Russian conference on Nonlinear Waves: Theory and New Applications

Alekseev, G.V.^1,2 ; Spivak, Yu.E.^2

Institute of Applied Mathematics FEB RAS, Vladivostok

690041, Russia^1

Far Eastern Federal University, Vladivostok

690922, Russia^2

关键词: 3-d modeling;    Acoustic Scattering;    Acoustic scattering models;    Control problems;    Design technologies;    Local uniqueness;    Optimal solutions;    Optimization method;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/722/1/012002/pdf
DOI  :  10.1088/1742-6596/722/1/012002

来源: IOP

【 摘 要 】

Control problems for the 3D model of acoustic scattering which describes scattering acoustic waves by a permeable obstacle with the form of a spherical layer are considered. These problems arise while developing the design technologies of acoustic cloaking devices using the wave flow method. The solvability of direct and control problems for the acoustic scattering model under study is proved. The sufficient conditions which provide local uniqueness and stability of optimal solutions are established.