Narrow-band anisotropic magnetized ferrite material simulation by approximate Crank–Nicolson procedure with improved nearly absorbing condition

Abstract

To simulate magnetized ferrite with unique anisotropic property, unconditionally stable implementation is proposed with improved absorbing condition. To be more particular, unconditionally stable scheme is based on the Crank-Nicolson (CN) procedure with approximatefactorization-splitting (AFS) scheme, higher-order nearly perfectly matched layer (NPML) formulation and complex envelope (CE) method. Simulation formulation of anisotropic ferrite material is modified according to both CN procedure and CE method. The accuracy, efficiency and absorption can be demonstrated through numerical examples. Compared with the theory resolution and simulation results, the proposed scheme can receive considerable performance with larger CFLNs from the aspects of decreased error and enhanced accuracy. By employing the higher-order formulation, absorption can be improved significantly especially in the low-frequency band. It can also maintain the unconditional stability when the time step surpasses the stability condition. Most importantly, it can solve time increment problem among the implicit algorithms with lower CFLNs in narrow-band simulation.

KEYWORDS:

• Anisotropic magnetized ferrite material
• complex envelope (CE)
• finite-difference time domain (FDTD)
• narrow-band simulation
• perfectly matched layer (PML)

Disclosure statement

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

Additional information

Funding

This paper is supported by National Key Research and Development Program of China [grant number 2020YFB1807400], National Natural Science Foundation of China [grant numbers 61571022, 61971022, 61801376] and National Key Laboratory Foundation [grant numbers HTKJ2019KL504013, 61424020305].