Mixed surface impedance boundary condition for FDTD simulations

Mao, Yunlong; Elsherbeni, Atef Z.; Jiang, Tao; Li, Si

doi:10.1049/iet-map.2016.0649

Cited by 2 publications

(3 citation statements)

References 10 publications

(13 reference statements)

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“…In the case of 2D (TM wave) scenario, the fundamental components comprise H x , H y , and E z . The schematic diagram of the 2D SIBC-FDTD method is similar to [16], as shown in Fig. 3.…”

Section: D Sibc-fdtd Iterative Formulations For Microwave Cavities Mo...mentioning

confidence: 99%

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Modeling of Microwave Cavities Based on SIBC-FDTD Method for EM Wave Focalization by TR Technique

Li¹,

Aimer²,

Bouazza³

2022

JTIT

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The time reversal (TR) techniques used in electromagnetics have been limited for a variety of reasons, including extensive computations, complex modeling and simulation, processes as well as, large-scale numerical analysis. In this paper, the SIBC-FDTD method is applied to address these issues and to efficiently model TR systems. An original curvilinear modeling method is also proposed for constructing various obstacles in a 2D microwave cavity and for processing the corners of the cavity. The EM waves’ spatio-temporal focalization has been realized, and results of the simulations further prove the accuracy and effectiveness of this modeling method. Furthermore, they demonstrate that the microwave cavity processes may significantly improve the focalization quality in terms of SSLL enhancement.

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“…In the case of 2D (TM wave) scenario, the fundamental components comprise H x , H y , and E z . The schematic diagram of the 2D SIBC-FDTD method is similar to [16], as shown in Fig. 3.…”

Section: D Sibc-fdtd Iterative Formulations For Microwave Cavities Mo...mentioning

confidence: 99%

“…In recent years, Mao et al have constructed a new absorbing boundary condition by setting surface impedance to free space in order to terminate the outer boundary of the FDTD computational domain [15]- [16]. This approach dramatically reduced computational complexity without affecting the level of accuracy.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Microwave Cavities Based on SIBC-FDTD Method for EM Wave Focalization by TR Technique

Li¹,

Aimer²,

Bouazza³

2022

JTIT

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show abstract

“…Therefore, the memory and computation time are saved significantly. However, the SIBC [18] neglects the surface curvature and field diffusion in the tangential direction. To acquire high computational accuracy, various high-order SIBCs have been developed in [19]- [21].…”

Section: Introductionmentioning

confidence: 99%

Transformation Optics-Based Finite Difference Time Domain Algorithm for Scattering From Object With Thin Dielectric Coating

et al. 2019

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A proper dielectric coating can reduce the electromagnetic scattering of the conducting object significantly so that it cannot be detected by the radar. However, when the object contains a thin coating, fine grid size is needed to discretize the thin coating in the conventional finite-difference time-domain (FDTD) algorithm, which increases the amount of memory and computational time significantly. To overcome this dilemma, we present a transformation optics-based FDTD (TO-FDTD) algorithm to accelerate the solution of electromagnetic scattering from objects with thin dielectric coatings. Two kinds of novel TO-FDTD models are proposed in this paper for a coated cylinder and a coated arbitrary polygonal cylinder, respectively. Through coordinate transformation, the size of the object remains unchanged while its thin coating is enlarged to a thicker one, meaning that it can be simulated by the FDTD algorithm with uniform coarse grids instead of fine grids. The transformed material parameters become inhomogeneous and anisotropic in the transformed region, which can be obtained by solving a Jacobian transformation matrix. We then develop a stable FDTD algorithm for solving anisotropic Maxwell's equations. Bistatic scatterings of coated cylinders and a coated polygonal cylinder are solved by the TO-FDTD algorithm proposed in this paper, respectively. The result of the TO-FDTD algorithm matches well with the exact value and the result of the commercial software Comsol. The computational efficiency and accuracy of the proposed TO-FDTD algorithm are validated by numerical experiments. Numerical results show that the TO-FDTD algorithm has higher computational accuracy than the conventional FDTD algorithm that fails to simulate the absorbing property of the coating, when the same coarse grid size is used in the simulation. Under the same level of accuracy, the proposed TO-FDTD method can improve the computational efficiency by 62-63 times than the conventional FDTD method with fine grids in the simulations in the paper. INDEX TERMS Coated object, finite-difference time-domain (FDTD), radar cross section (RCS), transformation optics.

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Mixed surface impedance boundary condition for FDTD simulations

Cited by 2 publications

References 10 publications

Modeling of Microwave Cavities Based on SIBC-FDTD Method for EM Wave Focalization by TR Technique

Modeling of Microwave Cavities Based on SIBC-FDTD Method for EM Wave Focalization by TR Technique

Transformation Optics-Based Finite Difference Time Domain Algorithm for Scattering From Object With Thin Dielectric Coating

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