Analyzing electromagnetic structures with curved boundaries on Cartesian FDTD meshes

Hao, Yang; Railton, C.J.

doi:10.1109/22.654926

Cited by 66 publications

(2 citation statements)

References 12 publications

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“…[19] A possible solution to the staircase approximation problem is using non-orthogonal grids or curvilinear coordinates to approximate the curved surface. [20,21] Obviously, while improving the numerical accuracy, these methods would increase the complexity of the algorithm and cause numerical artifacts. [19] A more commonly used method is the conformal FDTD method.…”

Section: Introductionmentioning

confidence: 99%

Finite-difference time-domain modeling of curved material interfaces by using boundary condition equations method

Lu¹,

Zhou²

2016

Chinese Phys. B

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To deal with the staircase approximation problem in the standard finite-difference time-domain (FDTD) simulation, the two-dimensional boundary condition equations (BCE) method is proposed in this paper. In the BCE method, the standard FDTD algorithm can be used as usual, and the curved surface is treated by adding the boundary condition equations. Thus, while maintaining the simplicity and computational efficiency of the standard FDTD algorithm, the BCE method can solve the staircase approximation problem. The BCE method is validated by analyzing near field and far field scattering properties of the PEC and dielectric cylinders. The results show that the BCE method can maintain a second-order accuracy by eliminating the staircase approximation errors. Moreover, the results of the BCE method show good accuracy for cylinder scattering cases with different permittivities.

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Section: Introductionmentioning

confidence: 99%

Finite-difference time-domain modeling of curved material interfaces by using boundary condition equations method

Lu¹,

Zhou²

2016

Chinese Phys. B

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“…Post's Formal structure of electromagnetics, first published in 1962, covered form invariance in considerable depth [6]. Transformations were used in computational electromagnetics during the 1990s, particularly in enabling curved geometries to be solved using the finite-difference time-domain method, which ordinarily uses a Cartesian grid (hence, introduces errors when modelling a curved geometry) [7][8][9][10][11]. Transformations have also been used in other fields within physics, such as hydromechanics, where they have been used (see [12] and references therein) to solve problems since the late 1890s!…”

Section: Introductionmentioning

confidence: 99%