The files "ca-reflective" and "ca-refractive" are Python scripts to find a numeric solution for theta for the reflective and refractive modes respectively.

Before use, the parameters PHI_NA and Y_ORIGIN at the top of the script must be updated to represent the parameters phi_c and z_o respectively of the objective. For "ca-refractive", the parameter N must also be set to the liquid's refractive index. The script assumes n_m = 1.

Launch each script from the command line like this:

[script name] [bright circle radius (mm)] [drop radius (mm)]

The output will then look like this:

[contact angle (degrees)] [drop volume (mm^3)]

For example:

> ca-reflective 0.382 0.685
6.625 0.0292767514752

If no solution exists, the script will return no output. If multiple solutions exist, the lowest solution will be returned.