atomcloud.analysis package

Submodules

Module contents

Created on Mon Mar 14 19:26:59 2022

@author: hofer

atomcloud.analysis.all_axis_scales(lambd, xpixel_length, ypixel_length, magnification=1)[source]

Calculates the scaling values along all three axes.

Parameters:

  • lambd (float) – wavelength of the laser beam in meters

  • xpixel_length (float) – x axis length of a pixel in meters

  • ypixel_length (float) – y axis length of a pixel in meters

  • magnification (float) – magnification of the imaging setup

Returns:

scale factor for the image on the pixel axes

Return type:

tuple[dict[str, float], list[str]]

atomcloud.analysis.calc_chi_squared(num_parameters, actual_data, fit_data, sigma=None)[source]

Calculates the chi squared value and the reduced chi squared value for a fit.

Parameters:

  • num_parameters (int) – The number of parameters in the fit.

  • actual_data (ndarray) – The actual data that was fit.

  • fit_data (ndarray) – Fit corresponding to original coord points based on fit parameters.

  • sigma (ndarray | None) – The standard deviation of the data can be used to weight the chi squared value.

Returns:

The chi squared value and the reduced chi squared value.

Return type:

list[float]

atomcloud.analysis.cloud_temperature(sigma, mass, tof, trap_freq=None)[source]
Parameters:

  • sigma (float) –

  • mass (float) –

  • tof (float) –

  • trap_freq (float | None) –

Return type:

float

atomcloud.analysis.convert_atom_number(atom_number, xscale, yscale, zscale)[source]

Rescale integrated values

Parameters:

  • atom_number – number of atoms

  • xscale (float) – scale factor for x axis

  • yscale (float) – scale factor for y axis

  • zscale (float) – scale factor for z axis

Returns:

rescaled atom number

atomcloud.analysis.img_axis_scales(xpixel_length, ypixel_length, magnification=1)[source]

Calculates the scaling values along the image axes.

Parameters:

  • xpixel_length (float) – x axis length of a pixel in meters

  • ypixel_length (float) – y axis length of a pixel in meters

  • magnification (float) – magnification of the imaging setup

Returns:

scale factor for the image on the pixel axes

Return type:

tuple[float, float]

atomcloud.analysis.od_nd_scale(optical_cross_section)[source]

Calculates the conversion from optical density to atom number density.

Parameters:

optical_cross_section (float) – optical cross section of the laser beam

Returns:

atom number density

atomcloud.analysis.optical_cross_section(lambd)[source]

Calculate the optical cross section of a laser beam on resonance.

Parameters:

lambd (float) – wavelength of the laser beam in meters

Returns:

optical cross section in m^2

Return type:

float

atomcloud.analysis.pixel_scale(pixel_length, magnification=1.0)[source]

Calculates the image scaling value if we’re only moving from pixels to meters. Includes the magnification factor of the imaging setup.

Parameters:

  • pixel_length (float) – length of a pixel in meters

  • magnification (float) – magnification of the imaging setup

Returns:

scale factor for the image on the pixel axis

Return type:

float

atomcloud.analysis.rescale_1d_params(params, z_indices, x_indices, xscale, zscale)[source]

Rescale fit parameters in a 1d function

Parameters:

  • params (list[float]) – list of function parameters

  • zinds – list of indices which are scaled by zscale

  • xinds – list of indices which are scaled by xscale

  • xscale (float) – scale to rescale x parameters by

  • zscale (float) – scale to rescale z parameters by

  • z_indices (list[int]) –

  • x_indices (list[int]) –

Returns:

list of rescaled parameters

Return type:

list[float]

atomcloud.analysis.rescale_2d_params(params, indices, scales, theta_indices=None)[source]

Rescale fit parameters in a 2d function. Must scale along x, y and z additionally some parameters may not lie along the x or y axis and so need to be rescaled differently.

Parameters:

  • params (list[float]) – list of function parameters

  • indices (list[list]) – list of lists of indices which are scaled by the corresponding scale in scales

  • scales (list) – list of scales to rescale parameters by

  • theta_indices (list | None) – list of index of the angle parameter corresponding to

  • tuple (each mixed axis) –

Returns:

list of rescaled parameters

Return type:

list[float]

atomcloud.analysis.rescale_mixed_axis(params, mixed_inds, xscale, yscale, theta_indices=None)[source]

This rescales the major and minor axes which is not super simple if the x and y scale are different. However, is xscale and yscale are the same (i.e. pixel is square) then it’s pretty straight forward.

Parameters:

  • params (list) – list of parameters

  • mixed_inds (list[tuple[int, int]]) – list of tuples of indices which are mixed axes

  • xscale (float) – scale to rescale x axis by

  • yscale (float) – scale to rescale y axis by

  • theta_indices (list[int] | None) – list of index of the angle parameter corresponding to each tuple

Return type:

list[float]

Returns:

atomcloud.analysis.rescale_parameters(params, indices, scale)[source]

Rescale the parameters in params at the indices by the scale.

Parameters:

  • params (list[float]) – list of function parameters

  • indices (list[int]) – list of indices which are scaled by scale

  • scale (float) – scale to rescale parameters by

Returns:

list of rescaled parameters

Return type:

list[float]