FourierTransform

This module a function for the computation of the one-dimensional fourier transform of a real valued function. The module can be loaded in the notebook in one of the following way

>>> from mppi.Utilities import FourierTransform

>>>FourierTransform.eval_FT

or as

>>> import mppi.Utilities.FourierTransform

>>> FourierTransform.eval_FT

or to load directly some elements

>>> from mppi.Utilities.FourierTransform import eval_FT

>>> eval_FT
mppi.Utilities.FourierTransform.eval_FT(time, values, time_units='fs', verbose=True)[source]

Compute the FT of the (real-valued) values array using the time array as x-values. The FT is provided only for positive energies since due to the real-valued of the values array the FT is assumed to be an even function.

Parameters:

  • time (np.array) – x-values array (assumes a uniform sampling)

  • values (np.array) – values array (assumes real-value function)

  • time_units (string) – set the units to compute the energy array. Default is ‘fs’ and the other possible choice is ‘ps’

  • verbose (bool) – defines the amount of information provided on terminal

Returns:

dictionary with the energy array (in eV), the real and imaginary part

of the FT and the associated module

Return type:

dict