A weakly conditionally stable finite-difference time-domain method for simulation of resonant cavity

Niu, Shanzhou; Yang, Yanjiang; Chen, R. S.; Liu, S. B.

doi:10.1109/icmmt.2010.5525076

Cited by 2 publications

(4 citation statements)

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“…Besides, the WCS‐FDTD method has also been applied in some other electromagnetic problems, such as the analysis for various resonant cavity, the modeling for periodic patch array and electromagnetic band‐gap structure, the simulation for photonic bandgap, and frequency selective surface . All the numerical examples validate that the results calculated by using the WCS‐FDTD method have excellent accuracy and the computational time of the WCS‐FDTD method is reduced compared with that of the FDTD method.…”

Section: The Applications Of the Wcs‐fdtd Methodsmentioning

confidence: 67%

“…In 2008, the WCS‐FDTD method was extended to solve electromagnetic problems with rotationally symmetric structures . It applies the hybrid implicit explicit difference in the ϕ and r directions, so, its time step size is only determined by spatial mesh Δ z .…”

Section: The Development Of the Wcs‐fdtd Methodsmentioning

confidence: 99%

“…They show that the simulated result of the WCS-FDTD method agrees very well with the theoretical value and the result of the FDTD method, but the CPU time of the WCS-FDTD method is only 1/1332 times as that of the FDTD method. 18 Besides, the WCS-FDTD method has also been applied in some other electromagnetic problems, such as the analysis for various resonant cavity, 30,31 the modeling for periodic patch array 32,33 and electromagnetic band-gap structure, 34,35 the simulation for photonic bandgap, 36 and frequency selective surface. 37,38 All the numerical examples validate that the results calculated by using the WCS-FDTD method have excellent accuracy and the computational time of the WCS-FDTD method is reduced compared with that of the FDTD method.…”

Section: The Applications Of the Wcs-fdtd Methodsmentioning

confidence: 99%

“…In 2008, the WCS-FDTD method was extended to solve electromagnetic problems with rotationally symmetric structures. 31 It applies the hybrid implicit explicit difference in the ϕ and r directions, so, its time step size is only determined by spatial mesh Δz. It not only weakens the restraint of the CFL condition, bringing in an efficient saving of CPU running time, but also results in a significant memory reduction compared with the FDTD method.…”

Section: The Wcs-fdtd Methods In Complex Coordinate System and Dispementioning

confidence: 99%

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A review of weakly conditional stable finite‐difference time‐domain method for modeling electromagnetic problems with fine structures

Chen

Mai

2018

Int J Numerical Modelling

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The finite‐difference time‐domain (FDTD) method has been proven to be an effective tool for simulating varieties of electromagnetic interaction problems. However, because the Courant‐Friedrich‐Levy condition must be satisfied in this method, its maximum time step size is limited by the minimum size of cell used in the computational domain. So, the FDTD method is inefficient to analyze the electromagnetic problem, which has very fine structures. To deal with this problem, the weakly conditional stable (WCS)‐FDTD method is developed. In the WCS‐FDTD method, the confinement of the fine spatial meshes on the time step size is removed by using the hybrid implicit explicit difference in the directions with fine structures. So, this method has much higher computational efficiency than the FDTD method and is extremely useful for the problems that have fine structures in 2 directions. In this paper, the fundamental theory, including the basic formulations, time stability condition, dispersion error, and absorbing boundary condition of the WCS‐FDTD method are presented. Some applications and important developments of this method are provided, and future possibilities of this method are discussed.

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Section: The Applications Of the Wcs‐fdtd Methodsmentioning

confidence: 67%