Analysis of the propagation properties of photonic crystals with defect by the precise integration time domain method

ABSTRACT

Propagation properties of photonic crystals with defect are analyzed by the precise integration time domain (PITD) method in the paper. The precise integration is applied to the finite difference time domain in this method. The Yee cell differential discretization technique is used in space, and the precise integration method is adopted in time. The correctness of the method is demonstrated by calculating the one-dimensional photonic crystals with defect. The transmission coefficients of the transverse electric (TE) and transverse magnetic (TM) modes in the two-dimensional photonic crystals with defect are also obtained by the method. Furthermore, the stability, precision and efficiency of the method are discussed. Numerical results reveal that the PITD method is not limited by the Courant stability condition and has higher calculation precision and efficiency, which provides a new and effective analytical method for studying the propagation properties of photonic crystals with defect.

KEYWORDS:

• Photonic crystals
• defect
• precise integration time domain method
• finite difference time domain method
• propagation properties

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by The National Key Research and Development Program of China under [grant number 2018YFB0703500]; Beijing Natural Science Foundation under [grant number1194020]; and Beijing Education Committee Science & Technology Foundation under [grant number KM201910005001].

Notes on contributors

Hongwei Yang

Hongwei Yang was born in Hubei, China in 1967. She received the B.S. degree in Physics Department from Hubei University, the M.S. degree in Physics Department from Sichuan Normal University and the Ph.D. degree in College of Mechanical Engineering and Applied Electronics Technology from Beijing University of Technology, in 1989, 1992 and 2008, respectively. She is currently a Professor with the College of Applied Sciences, Beijing University of Technology, P. R. China. Her research interests include Computational Physics, Electromagnetic and Mechanics.

Yuqi Wang

Yuqi Wang is currently pursuing the master degree in Physics Department, Beijing University of Technology, Beijing, China. Her research interests include Computational Physics, Electromagnetic and Mechanics.

Shuo Peng

Shuo Peng received his Master degree from Physics Department, Beijing University of Technology, Beijing in 2019. His research interests include Computational Physics, Electromagnetic and Mechanics.