Integrator

class pylgn.core.Integrator(nt, nr, dt, dr)

Integrator class for fast Fourier transform calculations.

Variables:

• times –
• positions –
• temporal_angular_freqs –
• spatial_angular_freqs –
• Nt (int) – Number of spatial points.
• Nr (int) – Number of temporal points
• dt (quantity scalar) – Temporal resolution
• dr (quantity scalar) – Spatial resolution
• dw (quantity scalar) – Temporal frequency resolution
• dk (quantity scalar) – Spatial frequency resolution

__init__(nt, nr, dt, dr)

Integrator constructor

Parameters:

• nt (int) – The power to raise 2 to. Number of temporal points is 2**nt.
• nr (int) – The power to raise 2 to. Number of spatial points is 2**nr.
• dt (quantity scalar) – Temporal resolution
• dr (quantity scalar) – Spatial resolution

compute_fft(cube)

Computes fast Fourier transform.

Parameters:cube (array_like) – input array (3-dimensional) Returns:out – transformed array Return type:array_like

compute_inverse_fft(cube)

Computes inverse fast Fourier transform.

Parameters:cube (array_like) – input array (3-dimensional) Returns:out – transformed array Return type:array_like

freq_meshgrid()

Frequency meshgrid

Returns:out – temporal and spatial frequency values. Return type:w_vec, ky_vec, kx_vec: quantity arrays

meshgrid()

Spatiotemporal meshgrid

Returns:out – time, x, and y values. Return type:t_vec, y_vec, x_vec: quantity arrays

positions

Position array

Returns:out – positions Return type:quantity array

spatial_angular_freqs

Spatial angular frequency array

Returns:out – spatial angular frequencies Return type:quantity array

spatial_freqs

Spatial frequency array

Returns:out – spatial frequencies Return type:quantity array

temporal_angular_freqs

Temporal angular frequency array

Returns:out – temporal angular frequencies Return type:quantity array

temporal_freqs

Temporal frequency array

Returns:out – temporal frequencies Return type:quantity array

times

Time array

Returns:out – times Return type:quantity array