Cubic-Spline Expansion for Electromagnetic Imaging of Buried Multiple Conductors

Computational Approach Based on a Differential Evolution with Self-Adaptive Concept for Microwave Imaging of Two-Dimensional Inverse Scattering Problem

“…These algorithms, which are based on stochastic strategies, offer advantages relative to local inversion algorithms, including strong search ability simplicity, robustness, and insensitivity to 452 C.-C. Chiu and C.-H. Sun ill-posedness. In contrast to traditional computation systems, evolutionary computation (Sun et al, 2010a(Sun et al, , 2010c(Sun et al, , 2008Rekanos, 2008;Semnani et al, 2009Semnani et al, , 2010Chien et al, 2009;Donelli et al, 2006;Chiu et al, 2009;Chien & Chiu, 2005) provides a more robust and efficient approach for solving inverse scattering problems. Particle swarm optimization (PSO) has proven to be a useful method of optimization for difficult and discontinuous multidimensional engineering problems (Poli et al, 2010).…”

“…For frequency-domain algorithms, the interaction of the entire medium with the incident field needs to be considered. Most of the previously proposed inversion techniques for the inverse problems are formulated in the frequency domain (Rekanos, 2008;Chien et al, 2009;Sun et al, 2008;Donelli et al, 2006;Chiu et al, 2009;Chien & Chiu, 2005). However, the time-domain scheme is a potential alternative for inverse problems because the time-domain data contain more information about the scatterer than those in the scattered data of a single frequency.…”

Time Domain Inverse Scattering of Buried Inhomogeneous Dielectric Cylinders

“…In general, they tend to get trapped in local minima when the initial trial solution is far from the exact one. Thus, some populationbased stochastic methods, such as genetic algorithm (GA) [6][7][8][9]18], differential evolution (DE) [11,[19][20][21] particle swarm optimization (PSO) [12,13,[22][23][24][25], are proposed to search the global extreme of the inverse problems to overcome the drawback of the deterministic methods.…”

“…Most of the inversion techniques are investigated for microwave imaging by time-harmonic electromagnetic (EM) wave illumination [3][4][5][6][7][8][9][10][11][12][13]. However, the application of wideband incidents is important for microwave imaging because the available information content about unknown objects is more than single frequency scattering data alone.…”

A study of microwave imaging for a metallic cylinder

“…Therefore, these problems are usually studied in global optimization‐based procedures are used to coped with by applying evolutionary algorithms (EAs) [13–23]. These algorithms based on stochastic strategies, offer advantages relative to local inversion algorithms including strong search ability, simplicity, robustness, and insensitivity to ill‐posedness.…”