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Efficient analysis of resonator by the unconditionally stable three‐dimensional iterative ADI‐FDTD method
Author(s) -
Ye Z. B.,
Du L.,
Rui P. L.
Publication year - 2007
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.22403
Subject(s) - finite difference time domain method , iterative method , mathematics , resonator , microwave , computer science , algorithm , physics , optics , telecommunications
In this article, the iterative alternating‐direction‐implicit finite‐difference time‐domain (ADI‐FDTD) method is used to simulate the resonator in electromagnetic field. This method is exactly the same as the original Crank–Nicolson (CN) method, while recognizing the ADI‐FDTD method as a special case of a more generalized iterative approach to solve the CN‐FDTD method, which can reduce the splitting error of the ADI‐FDTD method. Numerical results demonstrate that this 3D iterative ADI‐FDTD method can improve the accuracy of the ADI‐FDTD method by using the time step size greatly exceeding the Courant–Friedrich–Levy (CFL) limit within several iterations. As a result, much time is saved compared with CN‐FDTD method. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 1473–1477, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22403