17–22 May 2026
C.I.D
Europe/Zurich timezone

Nonlinear solution of the Landau-Lifschitz-Gilbert equation

TUP7304
19 May 2026, 16:00
2h
C.I.D

C.I.D

Deauville, France
Board: Tuesday baguette: BA04
Poster Presentation MC7.T06: Normal Conducting RF Poster session

Speaker

Dr Shane Koscielniak (TRIUMF)

Description

Ferrites may be used to shrink cavity resonator size. If a variable magnetic bias field is applied, the resonance frequency may be varied to follow proton/ion revolution frequency. The RF magnetic field can be applied either parallel or perpendicular to the bias. If the ferrite is near saturation, the incremental permeability is dominated by the electron spins - which are described by the Landau-Lifschitz-Gilbert (LLG) equation. Here (for the first time) the LLG equation is solved analytically in the strong nonlinear regime to give dependence of permeability on RF amplitude. For RF parallel to bias, a spectrum of response frequencies emerges. For RF perpendicular to bias, the resonance frequency rises with amplitude leading to the hardening oscillator "jump" or "snap-back" instability.

Paper status Proceeding files received

Author

Dr Shane Koscielniak (TRIUMF)

Presentation materials