Electromagnetic Transverse Electric-Wave Inverse Scattering of a Two-Dimensional Dielectric Object by Genetic Algorithm

Huang, Chung Hsin; Liu, Chun Liang; Chiu, Chien Ching; Wu, Yi; Wysocki, Tadeusz A.; Wysocki, Beata J.

doi:10.1080/02726340701364050

Cited by 7 publications

(2 citation statements)

References 26 publications

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“…5 Previously, evolutionary or genetic algorithms were implemented for the development of various nanophotonic devices such as photonic crystals, 33 waveguide structures, 34 structures for light focusing 35,36 and localization, 37 structural colors 38 as well as for solving such a fundamental problem as the inverse scattering problem. 39 In this paper, to implement an effective light focusing system (metalens) with a desired focal length, we choose an optimization process via Simple Evolutionary Multi-Objective Optimizer (SEMO) algorithm. 40 This multi-step optimization algorithm adds particles in the structure and engineers its space positions on each step under the optimization goal.…”

Section: Introductionmentioning

confidence: 99%

Multipole optimization of light focusing by silicon nanosphere structures

Ustimenko,

Baryshnikova,

Melnikov

et al. 2021

Preprint

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We investigate theoretically and numerically the light focusing by finite-size silicon nanostructures. The structural element is a sphere supporting dipole and quadrupole resonances of both electric and magnetic types. Our analytical model is based on the coupled multipole model (CMM) when the optical response of every particle in the structure is associated with the excitation of its multipole moments generating the secondary (scattered) waves in the system. Since the focusing effect is reached due to the interference between the incident and scattered waves, it is possible to control and optimize its efficiency by managing the spatial positions of particles. In this work, we study the applicability of the CMM and zero-order Born approximation (ZBA) for the electromagnetic field simulation in finite-size many-particle systems at the single-particle 1 multipole resonances. The CMM and ZBA are verified by comparison of approximated results with the results obtained from the T-matrix method. We discuss the application of the developed approach for focusing structures composed of nanospheres arranged in rings and multi-objective optimization of their focal length and focal intensity via an evolutionary algorithm. We demonstrate the strong optimization potential of our calculation scheme, based on the ZBA, for designing effective ultra-thin metalenses.

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Section: Introductionmentioning

confidence: 99%

Multipole optimization of light focusing by silicon nanosphere structures

Ustimenko,

Baryshnikova,

Melnikov

et al. 2021

Preprint

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“…The objective of the inverse problem is to determine the electromagnetic properties of the buried scatterer from the scattered field measured outside. As there are many applications such as geophysical prospecting, medical imaging, nondestructive evaluated, and determination of underground tunnels and pipelines, and so forth . However, it is well known that one major difficulty of inverse scattering is its nonlinearity because it involves the product of two unknowns: the electrical properties of object, and the electric field within the object .…”

Section: Introductionmentioning

confidence: 99%

Solving time domain microwave imaging for two-dimensional inhomogeneous dielectric cylinder

Chiu

Chang

2013

Int J RF and Microwave Comp Aid Eng

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This article presents the studies of time domain inverse scattering for a twodimensional (2D) inhomogeneous dielectric cylinder buried in a slab medium by the asynchronous particle swarm optimization (APSO) and dynamic differential evolution (DDE) method. The method of finite-difference time-domain is employed for the analysis of the forward scattering part, while the inverse scattering problem is transformed into optimization one. The DDE algorithm and the APSO are applied to reconstruct the permittivities distribution of a 2D inhomogeneous dielectric cylinder. Both techniques have been tested in the case of simulated measurements contaminated by additive white Gaussian noise. Numerical results indicate that the APSO algorithm outperforms the DDE in terms of reconstruction accuracy and convergence speed. V C 2013 Wiley Periodicals, Inc. Int J RF and Microwave CAE 24:147-154, 2014.

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Image reconstruction for a partially immersed imperfectly conducting cylinder by genetic algorithm

Chien¹,

Sun

Chiu

2009

Int J Imaging Syst Tech

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This article presents a computational approach to the imaging of a partially immersed imperfectly conducting cylinder. An imperfectly conducting cylinder of unknown shape and conductivity scatters the incident transverse magnetic (TM) wave in free space while the scattered field is recorded outside. Based on the boundary condition and the measured scattered field, a set of nonlinear integral equations, and the inverse scattering problem are reformulated into an optimization problem. We use genetic algorithm (GA) to reconstruct the shape and the conductivity of a partially immersed imperfectly conducting cylinder. The genetic algorithm is then used to find out the global extreme solution of the cost function. Numerical results demonstrated that, even when the initial guess is far away from the exact one, good reconstruction can be obtained. In such a case, the gradient-based methods often get trapped in a local extreme. In addition, the effect of random noise on the reconstruction is investigated.

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Electromagnetic Transverse Electric-Wave Inverse Scattering of a Two-Dimensional Dielectric Object by Genetic Algorithm

Cited by 7 publications

References 26 publications

Multipole optimization of light focusing by silicon nanosphere structures

Multipole optimization of light focusing by silicon nanosphere structures

Solving time domain microwave imaging for two-dimensional inhomogeneous dielectric cylinder

Image reconstruction for a partially immersed imperfectly conducting cylinder by genetic algorithm

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