FDTD local grid with material traverse

Chevalier, M. W.; Luebbers, R.; Cable, V.

doi:10.1109/8.558656

Cited by 202 publications

(106 citation statements)

References 11 publications

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“…The conformal FDTD method on non-orthogonal grids [15][16][17], counter path FDTD method [18,19], and subgridding method [20][21][22] can represent curved interfaces suitably, but they are relatively difficult to implement and increase the memory and computation time. A different approach using effective permittivities (EPs), which derives from interface interpolations based on Ampere's and Faraday's integration laws, can reduce the error of the permittivity model on coarse grids in a simple implementation and at low computational cost [23][24][25][26][27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Effective Permittivity for FDTD Calculation of Plasmonic Materials

Okada

Cole

2012

Micromachines

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We present a new effective permittivity (EP) model to accurately calculate surface plasmons (SPs) using the finite-difference time-domain (FDTD) method. The computational representation of physical structures with curved interfaces causes inherent errors in FDTD calculations, especially when the numerical grid is coarse. Conventional EP models improve the errors, but they are not effective for SPs because the SP resonance condition determined by the original permittivity is changed by the interpolated EP values. We perform FDTD simulations using the proposed model for an infinitely-long silver cylinder and gold sphere, and the results are compared with Mie theory. Our model gives better accuracy than the conventional staircase and EP models for SPs.

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Section: Introductionmentioning

confidence: 99%

Effective Permittivity for FDTD Calculation of Plasmonic Materials

Okada

Cole

2012

Micromachines

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“…The forward problem is solved by the FDTD method, for which the subgridding technique [37] is implemented to closely describe the fine structure of the cylinder. The inverse problem is formulated into an optimization one and then the global searching scheme PSO is used to search the parameter space.…”

Section: Introductionmentioning

confidence: 99%

Time Domain Inverse Scattering of a Two-Dimensional Homogenous Dielectric Object With Arbitrary Shape by Particle Swarm Optimization

Huang¹,

Chiu²,

Li³

et al. 2008

PIER

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Abstract-This paper presents a computational approach to the twodimensional time domain inverse scattering problem of a dielectric cylinder based on the finite difference time domain (FDTD) method and the particle swarm optimization (PSO) to determine the shape, location and permittivity of a dielectric cylinder. A pulse is incident upon a homogeneous dielectric cylinder with unknown shape and dielectric constant in free space and the scattered field is recorded outside. By using the scattered field, the shape and permittivity of the dielectric cylinder are reconstructed. The subgridding technique is implemented in the FDTD code for modeling the shape of the cylinder more closely. In order to describe an unknown cylinder with arbitrary shape more effectively, the shape function is expanded by closed cubicspline function instead of frequently used trigonometric series. The inverse problem is resolved by an optimization approach, and the global searching scheme PSO is then employed to search the parameter space. Numerical results demonstrate that, even when the initial guess is far away from the exact one, good reconstruction can be obtained. In addition, the effects of Gaussian noise on the reconstruction results are investigated. Numerical results show that even the measured scattered E fields are contaminated with some Gaussian noise, PSO can still yield good reconstructed quality.

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“…It should be mentioned that the V max method is also applied to control the particle's searching velocity and to confine the particle within the search space [14]. The "damping boundary condition" proposed by Huang and Mohan [18] to ensure the particles move within the legal search space.…”

Section: Modified Asynchronous Particle Swarm Optimization (Apso)mentioning

confidence: 99%

“…The computational method combines the FDTD method and the APSO [12]. The forward problem is solved based on the FDTD method, for which the subgridding technique is implemented to closely describe the fine structure of the cylinder [17,18]. Interpolation technique through the closed cubic Bsplines [19] is employed to describe a cylinder with arbitrary shape more effectively.…”

Section: Introductionmentioning

confidence: 99%

Time-Domain Inverse Scattering of a Two-Dimensional Metallic Cylinder in Slab Medium Using Asynchronous Particle Swarm Optimization

Sun¹,

Chiu

Li³

2010

PIER M

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Abstract-This paper presents asynchronous particle swarm optimization (APSO) applied to the time-domain inverse scattering problems of two-dimensional metallic cylinder buried in slab medium. For this study the finite-difference time-domain (FDTD) is employed for the analysis of the forward scattering part, while for the APSO is applied for the reconstruction of the two-dimensional metallic cylinder buried in slab medium, which includes of the location and shape the metallic cylinder. For the forward scattering, conceptually several electromagnetic pulses are launched to illuminate the unknown scatterers, and then the scattered electromagnetic fields around are measured. In order to efficiently describe the details of the cylinder shape, subgridding technique is implemented in the finite difference time domain method. Then, the simulated EM fields are used for inverse scattering, in which APSO is employed to transform the inverse scattering problem into optimization problem. By comparing the simulated scattered fields and the calculated scattered fields, the shape and location of the metallic cylinder are reconstructed. In addition, the effects of Gaussian noises on imaging reconstruction are also investigated.

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FDTD local grid with material traverse

Cited by 202 publications

References 11 publications

Effective Permittivity for FDTD Calculation of Plasmonic Materials

Effective Permittivity for FDTD Calculation of Plasmonic Materials

Time Domain Inverse Scattering of a Two-Dimensional Homogenous Dielectric Object With Arbitrary Shape by Particle Swarm Optimization

Time-Domain Inverse Scattering of a Two-Dimensional Metallic Cylinder in Slab Medium Using Asynchronous Particle Swarm Optimization

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