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% Gaussian beam propagation package.
% Eugeniy Mikhailov
% 2013

# Main features

Can treat lenses and empty spaces (with a given refraction index). And
able to calculate Gaussian beam propagation via ABCD matrix formalism.

## Gaussian beam travel visualization

Given starting Gaussian mode parameter (q) calculates q in the given
point(s) along optical path. There is

It can propagate Gaussian beam back and force and compare the beam
profiles after such propagation.

For a quick demo run:

     solution_visualization_demo.m

## Mode matching

Automatically search for a way to mode match a given Gaussian beam to
desired one at given distance via set of lenses in between. Very handy
for injection of a known beam to a single mode fiber or a cavity.

It might take a while to compute but for a quick demo run:

     mode_match_demo.m

## Cavity design

-   calculates if resonator is stable
-   calculates and plots resonant mode profile

For demo run:

    cavity_design_demo.m

# Brief history of the project

The original code dates as old as 2004 (at least I find some files that
old), but logged changes started only in 2006. Initially development is
done by Eugeniy Mikhailov with first files dated by Jun 2006, but it was
started even earlier. In 2012-2013 Matt Argao extended code to
automatically find mode matching solution from given set of optical
elements.

## Version 4.1.1

Small typos fixes. Added real life mode matching example of the fiber
mode to the gyro cavity mode.

## Version 4.1

Cavity design polish up and bug fixes.

## Version 4.0

Cavity design module

## Version 3.1

Demos are added/modified

## Version 3.0

Addition of the automatic mode matcher

## Versions 2.0

Visual mode matcher check and beam propagation visualization

## Version 1.0 and earlier

Initial ABCD formalism and unrecorded modifications.