%0 Journal Article
%T Optimal Control of Light Propagation Governed by Eikonal Equation within Inhomogeneous Media Using Computational Adjoint Approach
%J Journal of Communication Engineering
%I Shahed University
%Z 2322-4088
%A Seyyedrezaei, Seyyedeh Faezeh
%A Dadashzadeh, Gholamreza
%D 2016
%\ 01/01/2016
%V 5
%N 1
%P 24-37
%! Optimal Control of Light Propagation Governed by Eikonal Equation within Inhomogeneous Media Using Computational Adjoint Approach
%K Adjoint method
%K Eikonal equation
%K Geometric optics
%K metamaterial
%K Transformation optics
%R 10.22070/jce.2017.1493.
%X A mathematical model is presented in the present study to control the light propagation in an inhomogeneous media. The method is based on the identification of the optimal materials distribution in the media such that the trajectories of light rays follow the desired path. The problem is formulated as a distributed parameter identification problem and it is solved by a numerical method. The necessary optimality conditions based on Karush-Kuhm-Tucker (KKT) conditions is derived by means of the adjoint approach and a solution algorithm is introduced to find local minimizers of the original problem. The original PDE and its corresponding adjoint are discretized by the finite difference method and they are solved efficiently by the fast sweeping approach. The main benefits of the presented algorithm is the computational efficiency, flexibility and ability to produce isotropic materials distribution with bounded physical properties. The presented algorithm can be used for the optimal design of waveguides and invisibility cloaks in the wavelength spectrum of visible light. The feasibility of the presented method is studied by a numerical example.
%U http://jce.shahed.ac.ir/article_428_ecc953e1bffe250d84eaa24d4078742c.pdf