Bandpass Crank–Nicolson form with approximation and absorption for nonreciprocal ferrite material

Abstract

Due to the unique nonreciprocal characteristic, ferrite exhibits anisotropic behaviour in electric performance. Owing to such special phenomenon, it is difficult to efficiently analyse and simulate the ferrite material. Here, an alternative scheme is proposed for the bandpass ferrite finite-difference time-domain simulation. This algorithm is carried out which is based on approximate Crank–Nicolson procedure and incorporated with the complex method and higher-order formulation. The ferrite material can be calculated by the modified auxiliary differential equation approach according to the bandpass sampling theorem. The introduction of numerical example validates the effectiveness. As shown in the results, the proposed scheme can take advantage of these methods which can be demonstrated from the aspect of accuracy, efficiency and absorption. In addition, the proposed scheme can solve the time increment problem caused by the solution of tri-diagonal matrices during the simulation of implicit algorithms.

KEYWORDS:

• Complex envelope (CE)
• Crank–Nicolson
• finite-difference time domain (FDTD)
• perfectly matched layer (PML)
• nonreciprocal ferrite material

Acknowledgements

This paper is supported by National Natural Science Foundation of China (Grant Nos 61571022, 61971022, 61801376) and National Key Laboratory Foundation (Nos HTKJ2019KL504013, 61424020305).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Availability of data

The data that support the findings of this study are available from the corresponding author upon reasonable request.

Additional information

Funding

This work was supported by National Natural Science Foundation of China: [Grant Number 61571022, 61971022, 61801376]; National Key Laboratory Foundation: [Grant Number HTKJ2019KL504013, 61424020305].