Sine-hysteresis

Here we show how to plot magnetisation as a function of an external magnetic field when a time-varying (sine-wave) field is applied.

import oommfc as mc
import discretisedfield as df
import micromagneticmodel as mm

region = df.Region(p1=(-50e-9, -50e-9, 0), p2=(50e-9, 50e-9, 10e-9))
mesh = df.Mesh(region=region, cell=(5e-9, 5e-9, 5e-9))

system = mm.System(name="sine_hysteresis")

Now we can specify spatial and time varying field components. For the time-varying component, we choose a sine-wave with \(5\,\text{GHz}\) frequency and no time shift.

system.energy = mm.Zeeman(H=(0, 0, 1e2), func="sin", f=2e9, t0=0)
system.dynamics = mm.Precession(gamma0=mm.consts.gamma0) + mm.Damping(alpha=1e-5)

# create system with above geometry and initial magnetisation
system.m = df.Field(mesh, nvdim=3, value=(0, 0.1, 1), norm=1.1e6)

Now, we can drive the system using TimeDriver.

td = mc.TimeDriver()
td.drive(system, t=5e-9, n=500)

Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:08]... (1.8 s)

We can plot the \(z\)-component of the field.

system.table.mpl(y=["Bz_zeeman"])

The \(z\)-component of magnetisation is:

system.table.mpl(y=["mz"])

However, we can plot them so that on the horizontal axis we place external field, and on the vertical axis we place magnetisation.

system.table.mpl(x="Bz_zeeman", y=["mz"])