scholarly journals Simulation of three-dimensional waveguide discontinuities by a full-vector mode-matching method based on finite-difference schemes

2008 ◽  
Vol 16 (22) ◽  
pp. 18152 ◽  
Author(s):  
Jianwei Mu ◽  
Wei-Ping Huang
Keyword(s):  
Finite Difference ◽  
Three Dimensional ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Mode Matching ◽  
Matching Method ◽  
Mode Matching Method ◽  
Vector Mode ◽  
Waveguide Discontinuities ◽  
Full Vector

scholarly journals A Family of Sixth-Order Compact Finite-Difference Schemes for the Three-Dimensional Poisson Equation

2010 ◽  
Vol 2010 ◽  
pp. 1-17 ◽  
Author(s):  
Yaw Kyei ◽  
John Paul Roop ◽  
Guoqing Tang
Keyword(s):  
Finite Difference ◽  
High Performance ◽  
Three Dimensional ◽  
Difference Schemes ◽  
Poisson’S Equation ◽  
Sixth Order ◽  
Finite Difference Schemes ◽  
Poisson's Equation ◽  
Compact Finite Difference ◽  
Compact Finite Difference Schemes

We derive a family of sixth-order compact finite-difference schemes for the three-dimensional Poisson's equation. As opposed to other research regarding higher-order compact difference schemes, our approach includes consideration of the discretization of the source function on a compact finite-difference stencil. The schemes derived approximate the solution to Poisson's equation on a compact stencil, and thus the schemes can be easily implemented and resulting linear systems are solved in a high-performance computing environment. The resulting discretization is a one-parameter family of finite-difference schemes which may be further optimized for accuracy and stability. Computational experiments are implemented which illustrate the theoretically demonstrated truncation errors.

scholarly journals The application of improved FDTD algorithm based on mode-matching in shielding cavity

2018 ◽  
Vol 232 ◽  
pp. 03030
Author(s):  
Xuelian Gao ◽  
Lingli Kong
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Fdtd Method ◽  
Mode Matching ◽  
Electromagnetic Environment ◽  
Matching Method ◽  
Boundary Problems ◽  
Mode Matching Method ◽  
Regular Waveguide ◽  
The Time Domain

Due to the increasing complexity of the electromagnetic environment, the cavity with apertures are used more and more widely in electromagnetic shielding. At present, the time domain finite difference (FDTD) method has a good application effect for the transmission line response problem of a double-layer shield cavity with apertures, but this method usually encounters the boundary problem of semi-open and open areas. Due to the limited computing resources, the truncation of the FDTD region has an impact on the accuracy and speed of the calculation because that is very important. Based on that, this paper puts forward a method of combining mode-matching method with FDTD algorithm, which overcomes the limitation that mode-matching method can only be used for regular waveguide analysis and uses mode-matching method to solve FDTD boundary problems. The improved FDTD algorithm based on mode-matching method enhances the accuracy of the algorithm and guarantees the calculation speed.

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