A Novel Weakly Conditionally Stable FDTD Method for Periodic Structures

Mao, Yan; Chen, Bin; Xiong, Ranhua; Cai, Zhaoyang; Chen, Qiang

doi:10.1109/lawp.2012.2186627

Cited by 6 publications

(5 citation statements)

References 11 publications

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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%

“…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%

“…However, this method can only analyze the periodic structures with normal incident wave. To overcome this shortcoming, in 2014, Mao et al extended this method to solve oblique incident wave on periodic structures. By using the constant transverse wave‐number wave, the field in this method has no delay in the transverse plane; as a result, the periodic boundary condition for oblique incident wave is easy to implement in this method.…”

Section: The Development Of the Wcs‐fdtd Methodsmentioning

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%

Section: The Applications Of the Wcs-fdtd Methodsmentioning

confidence: 99%

Section: The Development Of the Wcs‐fdtd Methodsmentioning

confidence: 99%

See 1 more Smart Citation

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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“…In this study, the FDTD simulation domain for electromagnetic wave computation is discretized by a 500×250 uniform Yee grid, which is surrounded by convolution perfect matched layer (CPML) boundary in X direction to simulate free space [57][58][59][60]. The CPML thickness is 10 layers.…”

Section: Fig 1 Schematic Of the Simulation Domainmentioning

confidence: 99%

Hybrid electrodynamics and kinetics simulation for electromagnetic wave propagation in weakly ionized hydrogen plasmas

Chen

2012

Phys. Rev. E

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“…The WCS-FDTD method [11], [12], whose CFL stability condition only determined by one space discretisation, is very suitable for those structures. [13] and [14], [15] have presented the WCS-FDTD method for periodic structures for the normal incidence case and the oblique incidence case, respectively. equations to be solved is reduced maintaining the accuracy.…”

Section: Introductionmentioning

confidence: 99%

Efficiency-Improved 3-D WCS-FDTD Algorithm for Periodic Structures at Oblique Incidence

Wang

Zhou

et al. 2015

Antennas Wirel. Propag. Lett.

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For solving the problems of oblique incident wave on periodic structures, an efficiency-improved 3-D weakly conditionally stable finite-difference time-domain (WCS-FDTD) method is presented in this letter, whose Courant-Friedrichs-Lewy (CFL) stability condition is only determined by one space step size. By expressing the extra terms caused by the phase delay as the form of the coefficient matrix, and combining with the locally one-dimensional (LOD) scheme and the inverse matrix operator, the Maxwell's equations are split into two sub-step procedures. Further, by introducing a set of auxiliary field variables denoted by , the proposed algorithm is reformulated in a much simpler form with more concise right-hand sides for an efficient implementation. Numerical example demonstrates that the proposed method is more efficient while keeping the same CFL stability condition and memory storage requirement as that of the existing method.Index Terms-Locally one-dimensional (LOD) scheme, oblique incidence, periodic structures, weakly conditionally stable finitedifference time-domain (WCS-FDTD) method.

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A Novel Weakly Conditionally Stable FDTD Method for Periodic Structures

Cited by 6 publications

References 11 publications

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

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

Hybrid electrodynamics and kinetics simulation for electromagnetic wave propagation in weakly ionized hydrogen plasmas

Efficiency-Improved 3-D WCS-FDTD Algorithm for Periodic Structures at Oblique Incidence

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