Inverse scattering of a conducting cylinder in free space by modified fireworks algorithm

In this paper, the inverse scattering of a conducting cylinder is given by modified fireworks algorithm. Initially, the direct scattering is formulated as an integral equation, which contains the target shape function. The scattering integral equation is then solved by the moment method. To achieve image reconstruction, the target shape function is expanded as a Fourier series. The inverse scattering is transformed into a nonlinear optimization problem. The variables are Fourier series coefficients of the target shape function. The objective function is defined by comparing the scattered electric fields of guessed and true shapes. This nonlinear optimization problem is then optimized by our modified fireworks algorithm. The fireworks algorithm is a novel swarm intelligence algorithm for global optimization. It is inspired by practical fireworks explosion. In this paper, it is suitably modified so that it can treat the inverse scattering problem with fast convergence. Numerical results show that the inverse scattering based on our modified fireworks algorithm can accurately reconstruct the target shape with fast convergence.