Matrix

class georges.manzoni.elements.Matrix(name: str = '', integrator: ~georges.manzoni.integrators.IntegratorType = <class 'georges.manzoni.integrators.MadXIntegrator'>, *params, **kwargs)

Bases: ManzoniElement

Define a Matrix element.

Attributes:

PARAMETERS (dict): Dictionary containing the parameters of the Matrix with their default values.

Examples:

>>> m1 = Matrix('M1', MATRIX=_np.eye(6))
>>> m1 
    Matrix: {'NAME': 'M1',
    'AT_ENTRY': <Quantity(0, 'meter')>,
    'AT_CENTER': <Quantity(0, 'meter')>,
    'AT_EXIT': <Quantity(0, 'meter')>,
    'MATRIX': array([[1., 0., 0., 0., 0., 0.],
                     [0., 1., 0., 0., 0., 0.],
                     [0., 0., 1., 0., 0., 0.],
                     [0., 0., 0., 1., 0., 0.],
                     [0., 0., 0., 0., 1., 0.],
                     [0., 0., 0., 0., 0., 1.]])}

Command attributes

Attributes:

NAME=’’ (str): Primary label for the Manzoni command (default: auto-generated hash).

AT_ENTRY=’0 meter’ (Quantity): Entrance position of the element.

AT_CENTER=’0 meter’ (Quantity): Entrance position of the element.

AT_EXIT=’0 meter’ (Quantity): Exit position of the element.

MATRIX=’[[1. 0. 0. 0. 0. 0.]

[0. 1. 0. 0. 0. 0.] [0. 0. 1. 0. 0. 0.] [0. 0. 0. 1. 0. 0.] [0. 0. 0. 0. 1. 0.] [0. 0. 0. 0. 0. 1.]]’ (ndarray): Transfer matrix.

Default initializer for all Commands.

Attributes Summary

INTEGRATOR
PARAMETERS	Parameters of the element, with their default value and their description .
parameters

Methods Summary

propagate(beam_in[, beam_out, global_parameters])

param beam:

Attributes Documentation

INTEGRATOR: IntegratorType | None = None

PARAMETERS: dict = {'AT_CENTER': (<Quantity(0, 'meter')>, 'Entrance position of the element.'), 'AT_ENTRY': (<Quantity(0, 'meter')>, 'Entrance position of the element.'), 'AT_EXIT': (<Quantity(0, 'meter')>, 'Exit position of the element.'), 'MATRIX': (array([[1., 0., 0., 0., 0., 0.],        [0., 1., 0., 0., 0., 0.],        [0., 0., 1., 0., 0., 0.],        [0., 0., 0., 1., 0., 0.],        [0., 0., 0., 0., 1., 0.],        [0., 0., 0., 0., 0., 1.]]), 'Transfer matrix.'), 'NAME': ('', 'Primary label for the Manzoni command (default: auto-generated hash).')}

Parameters of the element, with their default value and their description .

parameters

Methods Documentation

propagate(beam_in: ndarray, beam_out: ndarray | None = None, global_parameters: list | None = None) → Tuple[ndarray, ndarray]

Parameters:

• beam –

• out –

• global_parameters –

Returns: