TemporalEnvelope#

class abtem.transfer.TemporalEnvelope(focal_spread, energy=None, extent=None, gpts=None, sampling=None)[source]#

Bases: BaseTransferFunction

Envelope function for simulating partial temporal coherence in the quasi-coherent approximation.

Parameters:
  • focal_spread (float or 1D array or BaseDistribution) – The standard deviation of the focal spread due to chromatic aberration and lens current instability [Å]. Alternatively, a distribution of values may be provided.

  • energy (float, optional) – Electron energy [eV]. If not provided, inferred from the wave functions.

  • extent (float or two float, optional) – Lateral extent of wave functions [Å] in x and y directions. If a single float is given, both are set equal.

  • gpts (two ints, optional) – Number of grid points describing the wave functions.

  • sampling (two float, optional) – Lateral sampling of wave functions [1 / Å]. If ‘gpts’ is also given, will be ignored.

__init__(focal_spread, energy=None, extent=None, gpts=None, sampling=None)[source]#

Methods

__init__(focal_spread[, energy, extent, ...])

apply(waves)

Apply the transform to the given waves.

copy()

Make a copy.

ensemble_blocks([chunks])

Split the ensemble into an array of smaller ensembles.

generate_blocks([chunks])

Generate chunks of the ensemble.

match_grid(other[, check_match])

Match the grid to another object with a Grid.

select_block(index, chunks)

Select a block from the ensemble.

show(**kwargs)

to_diffraction_patterns([max_angle, gpts])

Converts the transfer function instance to DiffractionPatterns.

Attributes

accelerator

Accelerator object describing the acceleration energy.

angular_sampling

The sampling in scattering angles of the transfer function [mrad].

axes_metadata

List of AxisMetadata.

base_axes_metadata

List of AxisMetadata of the base axes.

base_shape

Shape of the base axes.

distributions

energy

Electron acceleration energy in electron volts.

ensemble_axes_metadata

Axes metadata describing the ensemble axes added to the waves when applying the transform.

ensemble_shape

The shape of the ensemble axes added to the waves when applying the transform.

extent

Extent of grid for each dimension in Ångstrom.

focal_spread

The standard deviation of the focal spread [Å].

gpts

Number of grid points for each dimension.

grid

Simulation grid.

in_place

The array representing the waves may be modified in-place.

metadata

Metadata added to the waves when applying the transform.

reciprocal_space_sampling

Reciprocal-space sampling in reciprocal Ångstrom.

sampling

Grid sampling for each dimension in Ångstrom per grid point.

shape

Shape of the ensemble.

wavelength

Relativistic wavelength in Ångstrom.

property accelerator: Accelerator#

Accelerator object describing the acceleration energy.

property angular_sampling: tuple[float, float]#

The sampling in scattering angles of the transfer function [mrad].

apply(waves)#

Apply the transform to the given waves.

Parameters:

array_object (ArrayObject) – The array object to transform.

Returns:

transformed_array_object

Return type:

ArrayObject

property axes_metadata: AxesMetadataList#

List of AxisMetadata.

property base_axes_metadata: list[AxisMetadata]#

List of AxisMetadata of the base axes.

property base_shape: tuple[int, ...]#

Shape of the base axes.

copy()#

Make a copy.

property energy#

Electron acceleration energy in electron volts.

property ensemble_axes_metadata: list[AxisMetadata]#

Axes metadata describing the ensemble axes added to the waves when applying the transform.

ensemble_blocks(chunks=None)#

Split the ensemble into an array of smaller ensembles.

Parameters:

chunks (iterable of tuples) – Block sizes along each dimension.

Return type:

Array

property ensemble_shape#

The shape of the ensemble axes added to the waves when applying the transform.

property extent: tuple[float] | tuple[float, float] | tuple[float, ...]#

Extent of grid for each dimension in Ångstrom.

property focal_spread#

The standard deviation of the focal spread [Å].

generate_blocks(chunks=1)#

Generate chunks of the ensemble.

Parameters:

chunks (iterable of tuples) – Block sizes along each dimension.

property gpts: tuple[int] | tuple[int, int] | tuple[int, ...]#

Number of grid points for each dimension.

property grid: Grid#

Simulation grid.

property in_place: bool#

The array representing the waves may be modified in-place.

match_grid(other, check_match=False)#

Match the grid to another object with a Grid.

property metadata: dict#

Metadata added to the waves when applying the transform.

property reciprocal_space_sampling: tuple[float] | tuple[float, float] | tuple[float, ...]#

Reciprocal-space sampling in reciprocal Ångstrom.

property sampling: tuple[float] | tuple[float, float] | tuple[float, ...]#

Grid sampling for each dimension in Ångstrom per grid point.

select_block(index, chunks)#

Select a block from the ensemble.

Parameters:
  • index (tuple of ints) – Index of selected block.

  • chunks (iterable of tuples) – Block sizes along each dimension.

property shape#

Shape of the ensemble.

to_diffraction_patterns(max_angle=None, gpts=None)#

Converts the transfer function instance to DiffractionPatterns.

Parameters:
  • max_angle (float, optional) – The maximum diffraction angle in radians. If not provided, the maximum angle will be determined based on the self._max_semiangle_cutoff attribute of the instance. If neither max_angle nor self._max_semiangle_cutoff is available, a RuntimeError will be raised.

  • gpts (int | tuple[int, int], optional) – The number of grid points in reciprocal space for performing Fourier Transform. If not provided, a default value of 128 will be used.

Returns:

The diffraction patterns obtained from the conversion.

Return type:

abtem.measurements.DiffractionPatterns

property wavelength#

Relativistic wavelength in Ångstrom.