Unconditionally stable FDTD method based on Chebyshev polynomials—Chebyshev(CS)FDTD
- Resource Type
- Conference
- Authors
- Li, Chao; Huang, Zheng-Yu; Chen, Zi-An; Zhu, Shuai; Yang, Ai-Wei; Wang, Zi-Jun
- Source
- 2021 International Applied Computational Electromagnetics Society (ACES-China) Symposium Applied Computational Electromagnetics Society (ACES-China) Symposium, 2021 International. :1-2 Jul, 2021
- Subject
- Computing and Processing
Engineering Profession
Fields, Waves and Electromagnetics
Chebyshev approximation
Computational electromagnetics
Electromagnetic fields
Time-domain analysis
Maxwell equations
Finite difference methods
finite difference time domain method
Chebyshev polynomials
unconditionally stable
- Language
An unconditionally stable solution using Chebyshev polynomials is proposed for the finite-difference time-domain (FDTD) method. The orthogonality and recurrence of Chebyshev polynomials are used to reconstruct the signal, and Chebyshev polynomials differential matrix is established to realize the transformation of time-domain Maxwell's equations to the Chebyshev domain. The examples show that error is below −50dB when compared with the conventional FDTD method.