Overview of the Unconditionally Stable Weighted Laguerre Polynomials FDTD method

This overview introduces the unconditionally stable Weighted Laguerre Polynomials (WLP) finite-difference time-domain (FDTD) method, briefly calling it the WLP-FDTD method. The main characteristic for this method is that it adopts a marching-on-in-order scheme, which respectively uses the WLP functi...

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Bibliographic Details
Main Authors: Robalino Espinoza, Viviana Lorena, Huang, Zheng-Yu, Feng, Jiang, Li, Chao, Duan, Yan-Tao, Shi, Li-Hua
Format: Conference Proceeding
Language:English
Subjects:
Algebra
Computational efficiency
Conferences
Microwave theory and techniques
Radio frequency
Time-domain analysis
Time-frequency analysis
Online Access:Request full text
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Summary:This overview introduces the unconditionally stable Weighted Laguerre Polynomials (WLP) finite-difference time-domain (FDTD) method, briefly calling it the WLP-FDTD method. The main characteristic for this method is that it adopts a marching-on-in-order scheme, which respectively uses the WLP functions as temporal expansions and testing functions to expand and solve Maxwell's equations in a finite dimensional algebra domain. Here, we review it with some developments in WLP-FDTD method into the four principal aspects, basic algorithm, efficient algorithm, hybrid algorithm and applications, which can be considered as a time-frequency solver for Maxwell equation, reducing the computational time considerably, at the same time, the accuracy of traditional FDTD method is equal to the FDTD method.
ISSN:2694-2992
DOI:10.1109/IMWS-AMP54652.2022.10107204