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An improved formalism for the Crank‐Nicolson finite‐difference time‐domain by conformal mapping method
Author(s) -
Yang Yang,
Chen Ru Shan,
Ye Zhenbao
Publication year - 2009
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.24613
Subject(s) - conformal map , crank–nicolson method , formalism (music) , finite difference time domain method , mathematics , time domain , finite difference method , physics , mathematical analysis , computer science , quantum mechanics , art , musical , visual arts , computer vision
Abstract In this article, a three‐dimensional (3‐D) Crank‐Nicolson finite‐difference time‐domain (CN‐FDTD) method combined with conformal mapping method is used to analyze the cavities with curved surface. The improved formalism in the CN‐FDTD is described and both time‐domain waveforms and resonant frequencies are presented. The numerical simulations of the typical examples show that the time step with this CN‐FDTD method is 10 times larger than the Courant‐Friedrich‐Levy condition without the large loss of accuracy. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 2378–2382, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24613