Strayfield calculation for micromagnetic simulations using true periodic boundary conditions

Area of Science:

• Computational physics
• Materials science
• Magnetism

Background:

• Accurate micromagnetic simulations are essential for materials science.
• Pseudo periodic boundary conditions introduce artificial shape anisotropy.
• This anisotropy complicates the study of microstructural influences on magnetic properties.

Purpose of the Study:

• To present novel methods for calculating stray fields in micromagnetic simulations.
• To implement true periodic boundary conditions, overcoming limitations of pseudo periodic approaches.
• To demonstrate the impact of these methods on studying composite magnetic materials.

Main Methods:

• Utilizing a differential formulation suitable for true periodic boundary conditions.
• Applying finite element and finite difference methods for stray field calculation.
• Employing a Fast Fourier Transform (FFT) method for efficient solving of finite difference equations.

Main Results:

• The presented methods successfully eliminate shape anisotropy from outer boundaries.
• Demonstrated improved accuracy in hysteresis calculations for soft magnetic composites.
• Validated the effectiveness of true periodic boundary conditions in closed magnetic loop configurations.

Conclusions:

• True periodic boundary conditions offer a more accurate approach for micromagnetic simulations.
• Eliminating artificial anisotropy is critical for studying microstructural effects in magnetic composites.
• The developed methods provide a robust and efficient tool for advanced magnetic materials research.