{'fraction_non_alphanumeric': 0.047785547785547784, 'fraction_numerical': 0.039627039627039624, 'mean_word_length': 5.607692307692307, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 1, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
The unconditionally stable Crank Nicolson FDTD method for three‐dimensional Maxwell's equations

In this paper, an accurate and computationally implicit 3D finite‐difference time‐domain (FDTD) method based on the unconditionally stable Crank–Nicolson scheme (3D CN‐FDTD) is presented. The source excitation in 3D CN‐FDTD is described and the numerical simulation of the 3D CN‐FDTD method is demonstrated through numerical examples. The results of this method, the ADI‐FDTD method, and traditional FDTD schemes are compared. A good agreement is obtained for the 3D CN‐FDTD method with time steps greatly more than the Courant–Friedrich–Levy (CFL) limit and the traditional Yee FDTD method. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 1619–1622, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21684