.. index:: StandardSC
Sinusoidal function damped with Gaussian relaxation and a non-decaying oscillation:
A(t)=A_0e^{-\frac{\sigma^2t^2}{2}}\cos(\omega_\text{SC}t+\phi) + A_\text{bg}\cos(\omega_\text{BG}t+\phi)
where,
A_\text{bg} is the amplitude of the background field oscillation,
A_0 is the amplitude of the decaying oscillation due to internal field,
\omega_\text{SC} (rad/s) is the angular frequency of internal field,
\omega_\text{BG} (rad/s) is the angular frequency of background field,
\sigma is the depolarization rate,
and \phi is the phase.
The relationship between \omega and magnetic field B is given by:
\omega = 2 \pi \nu = \gamma_\mu \text{B}
where,
\gamma_\mu is the gyromagnetic ratio of muon.
.. plot::
from mantid.simpleapi import FunctionWrapper
import matplotlib.pyplot as plt
import numpy as np
x = np.arange(0.1,16,0.1)
y = FunctionWrapper("StandardSC")
fig, ax=plt.subplots()
ax.plot(x, y(x))
ax.set_xlabel('t($\mu$s)')
ax.set_ylabel('A(t)')
.. attributes::
.. properties::
[1] J.A.T. Barker et al., Phys. Rev. Lett. 115 267001 (2015).
.. categories::
.. sourcelink::