ABCD Optical Ray Matrices

class lasy.propagators.ABCD(abcd=array([[1, 0], [0, 1]]))

Class that defines and manipulates ABCD ray matrices for an optical system.

Parameters:

abcd2d array

The 2D ray matrix of the optical system through which the beam propagates. By default, this is initialised to be the unitary matrix:

\[\begin{split}O = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}.\end{split}\]

add_lens(focal_length)

Add a thin-lens with a focal length \(f_0\).

Parameters:

focal_lengthfloat (in meter)

The focal length of a thin-lens through which the beam propagates. The ray matrix for propagation through a thin lens with focal length \(f_0\) is:

\[\begin{split}O = \begin{pmatrix} 1 & 0 \\ -1/f_0 & 1 \end{pmatrix}.\end{split}\]

add_vacuum(distance)

Add a propagation over a distance \(z\) in vacuum.

Parameters:

distancefloat (in meter)

The distance in free-space which the beam propagates. The ray matrix for propagation of a distance \(z\) in vacuum is:

\[\begin{split}O = \begin{pmatrix} 1 & z \\ 0 & 1 \end{pmatrix}.\end{split}\]