Dynamic susceptibility computations for thin magnetic films

Vacus, Olivier; Vukadinovic, N.

doi:10.1016/j.cam.2004.07.016

Cited by 10 publications

(15 citation statements)

References 9 publications

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“…Furthermore, four-point and lessaccurate spatial interpolations were required to evaluate the magnetization at the staggered field locations within the FDTD grid [36,37,39,40]. The complete form of the LLG equation was included in a stable FDTD implementation including anisotropy and exchange [41], but used a numerically dispersive unstaggered FDTD grid for the implementation. An efficient and stable implementation was developed by Aziz [42] that integrated the complete form of the LLG equation (including anisotropy and exchange) within the FDTD method.…”

Section: Introductionmentioning

confidence: 99%

Wide-Band Electromagnetic Wave Propagation and Resonance in Long Cobalt Nanoprisms

Aziz

McKeever

2020

Phys. Rev. Applied

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Section: Introductionmentioning

confidence: 99%

Wide-Band Electromagnetic Wave Propagation and Resonance in Long Cobalt Nanoprisms

Aziz

McKeever

2020

Phys. Rev. Applied

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“…In this work, an implicit and stable iterative numerical scheme [9,15] will be employed to solve the LLG equation in (18). The complete time stepping algorithm for the solution of the nonlinear system of Maxwell's and the LLG equations is presented here in detail including the coupling of the magnetisation to the fields in Maxwell's equations using the proposed interpolation scheme, and implementation of magnetic boundary conditions.…”

Section: δTmentioning

confidence: 99%

“…The long simulations times may be reduced by using an implicit time marching scheme for the solution of Maxwell's equations that is not sensitive to the Courant limit [29]. Alternatively, and for the purpose of steady-state micromagnetic computations where the transient electromagnetic details are not important, larger time steps can be used within the iterative scheme for the integration of the LLG equation, while at the same time keeping the Courant limited time step for the solution of Maxwell's Equations [9]. This has the effect of increasing the speed of convergence of the solution to the LLG equation, and thus allowing the reduction of the simulation time.…”

Section: The Fdtd-llg Schemementioning

confidence: 99%

“…The previous work also used cumbersome and less accurate four-point spatial interpolations to evaluate the fields and magnetisations due to the staggered nature of the FDTD grid [4,5,7,8]. Detailed work by Vacus and Vukadinovic [9] was carried out to solve the nonlinear system of the LLG equation and Maxwell's equations using the FDTD method that incorporated anisotropy and exchange fields and using implicit schemes, but used a numerically dispersive, unstaggered FDTD grid for the implementation, which is not appropriate for studying dynamic wave interaction with magnetic material.…”

Section: Introductionmentioning

confidence: 99%

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Sub-Nanosecond Electromagnetic-Micromagnetic Dynamic Simulations Using the Finite-Difference Time-Domain Method

Aziz¹

2009

PIER B

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Abstract-This paper presents an efficient and simple approach of implementing the Landau-Lifshitz-Gilbert (LLG) equation of magnetisation motion within the Finite-difference Time-domain (FDTD) method. This combined electromagnetic-micromagnetic simulation technique is particularly important for modeling electromagnetic interaction with lossy magnetic material in the presence of current and magnetic sources, particularly at very high frequencies. The efficient implementation involves simple two-point spatial interpolations that are applicable to two and three-dimensional FDTD grids, and uses a stable iterative algorithm for the time integration of the LLG equation. A ferromagnetic resonance numerical experiment on a rectangular Permalloy prism excited through its cross-section by a non-uniform pulse field from a transmission line was carried out for the purpose of verifying the combined FDTD-LLG computations. The numerical results were in good agreement with linearised analytical solutions of the LLG equation for uniform and non-uniform precession modes. This paper also presents a brief investigation on the use of non-staggered FDTD grid schemes to model magnetic material using the LLG equation, and indicates that the classical FDTD staggered scheme offers simplicity in implementation and more accuracy for modeling wave interaction with lossy magnetic material than the non-staggered schemes based on Maxwell's equations formulation.

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“…The wide interest in using magnetic materials as the antenna substrate raises the necessity of physical insight into such type of materials. Various numerical computations are executed to model different structures composed of ferrite materials [6]- [8]. In this paper, a one-dimensional finite difference time domain method (1-D FDTD) is developed to model current radiations off the thin-film ferrite coated ground plane, which takes care of the dual-way interactions between the magnetization and electromagnetic field.…”

Section: Introductionmentioning

confidence: 99%

FDTD analysis of platform effect reduction with thin film ferrite

Yao

Wang

2015

2015 IEEE Radio and Wireless Symposium (RWS)

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Conformal antennas suffer from the platform effect on which the radiation of the current become inefficient due to the existence of the image current in the opposite direction. The platform effect may be well shielded with thin film ferrimagnetic material that has a high in-plane permeability. A one-dimensional finite difference time domain method (1-D FDTD) is developed to model the current radiations off the thin-film ferrite coated ground plane. Both the ferromagnetic resonances (FMR) of the ferrite and the radiation of electromagnetic wave caused by the dynamic magnetic field are simulated, by solving Landau-Lifshitz-Gilbert (LLG) equation and Maxwell's equations simultaneously. The simulated relative permeability curve matches with the theoretical results. Radiated power is computed as well, which increases as the thickness of the film increases or the FMR line width of the material susceptibility decreases.

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Dynamic susceptibility computations for thin magnetic films

Cited by 10 publications

References 9 publications

Wide-Band Electromagnetic Wave Propagation and Resonance in Long Cobalt Nanoprisms

Wide-Band Electromagnetic Wave Propagation and Resonance in Long Cobalt Nanoprisms

Sub-Nanosecond Electromagnetic-Micromagnetic Dynamic Simulations Using the Finite-Difference Time-Domain Method

FDTD analysis of platform effect reduction with thin film ferrite

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