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DampedBessel.rst

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DampedBessel

.. index:: DampedBessel

Description

A bessel function with damped oscillation that could apply to incommensurate magnetic structures or spin density waves.

A(t)= A_0e^{-\lambda_\text{L}t}\left( (1-f_L)e^{-\lambda_\text{T}t}J_0(\omega_\mu t + \phi) + f_L\right)

where,

A_0 is the amplitude of asymmetry,

J_0(x) is the Bessel function of the first kind,

\lambda_\text{T} is the damping of the oscillation,

\lambda_\text{L} is the dynamic longitudinal spin relaxation rate,

B (G) is the B-field,

and \phi is the phase.

.. 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("DampedBessel")
   fig, ax=plt.subplots()
   ax.plot(x, y(x))
   ax.set_xlabel('t($\mu$s)')
   ax.set_ylabel('A(t)')


.. attributes::


.. properties::

References

[1] D.E. MacLaughlin, PRB 89 144419 (2014).

.. categories::


.. sourcelink::