ABCD MATRIX INSTALL
ABCD MATRIX FULL
ABCD MATRIX PLUS

The grid distortion plot shows the linear grid, and then marks the actual chief ray intercept for a ray with the same linear field coordinates with an 'X' for each point on the grid. If the image surface is rotated, such that a y object coordinate images to both an x and a y image coordinate, the ABCD matrix will automatically account for the rotation. The use of an ABCD matrix allows for coordinate rotations. The ray coordinates in image space for the very small field of view are used to determine the ABCD matrix components. Where θr is the maximum radial field angle at the corner of the field.

ABCD MATRIX FULL

Because object height is linear with the tangent of the field angle, the full width of the field when angles are used to define the field is given by OpticStudio allows selection of which field position to use for reference.By default, OpticStudio sets the corner of the field grid in object space to be at the maximum radial field distance. Usually, this is the center of the field of view. $ S(L,n2) = F(inf, n2, 1.0) S(L, 1.To compute the ABCD matrix, OpticStudio traces rays over a very small region centered upon the reference field position. Refraction does not need to be considered for flat interfaces if you include the index of refraction in the space matrix $ S(L,n)$ above: Space matrix, $ L$ is the length of the space and $ n$ is the index of refraction plot_cavity_scan ( round_trip = True ) plt. add_mirror ( R2, name = 'ETMY' ) fig = arm_cav. add_mirror ( R1, name = 'ITMY' ) arm_cav. plot_cavity_scan ( round_trip = True, label = 'Simple Cavity' ) plt.

ABCD MATRIX PLUS

scan_cavity ( round_trip = True ) # Returns propagation distance, beam radius, accumulated gouy phase, and beam q-parameter for the entire cavity, plus the round-trip import matplotlib.pyplot as plt fig = my_cav. If it is stable, populates the my_cav.q_input parameter zz, ww, gouy, qq = my_cav. calculate_cavity_ABCD () # Finds the cavity round-trip ABCD matrix, tells you if it's stable. add_mirror ( 1.0 ) # adds mirror with 1.0 meter radius of curvature at z=0.5 meters my_cav. add_space ( 0.5 ) # adds 0.5 meters of space to cavity my_cav. add_mirror ( 1.0 ) # adds mirror with 1.0 meter radius of curvature at z=0.0 meters my_cav. # Examples # Simple resonator import numpy as np my_cav = BeamTrace () # initializes ABCD class my_cav. py or examples / curved_dielectric_beam_scan. See examples / flat_dielectric_beam_scan. To model a beam through flat dielectric, you must include a flat lens or flat refraction at the front and back surfaces of the dielectric. Refraction components only have an effect on the beam if there is a radius of curvature to the dielectric surface. Trying to connect two spaces together directly will result in an error. You * must * have a component between spaces, even if it is just a flat lens, flat mirror, or flat refraction element. Scan the cavity beam parmater using scan_cavity (). If cavity is stable, find the fundamental eigenmode for the beam ( q - parameter ) Set this q - parameter as q_input beam. User computes the cavity ABCD matrix from the components added using calculate_cavity_ABCD (). org / finesse / pykat # Process User adds in mirrors, lenses, and spaces * in sequential order *. php ? id = geosim : jammt Finesse + pykat : https : // git. com / nicolassmith / alm JAMMT : http : // bham. # Other options MATLAB alamode : https : // github. Just mirrors, lenses, and lengths added in sequence. No fancy optimization like alamode, no nice GUI like jammt. addpath ( 'path/to/this/directory' ) from acer import BeamTrace Docstringįrom beamtrace/tracer.py, the main class BeamTrace docstring Class BeamTrace For very simple beam waist and gouy phase calculations in python.

Or if you have LIGO credentials you can git clone the directory at Īnd run import sys sys. Then in a python scipy or ipython terminal, import the BeamTrace class by running import beamtrace from acer import BeamTrace

ABCD MATRIX INSTALL

You can install using pip at pip install beamtrace Main file in this directory is tracer.py.

Abcd matrix