slmsuite.holography.analysis.fitfunctions.hyperbola

hyperbola(z, w0, z0, zr)

For fitting a hyperbola.

\[w(z) = w_0 \sqrt{1 + \left[\frac{z - z_0}{z_R}\right]^2}.\]

Parameters:

• z (numpy.ndarray) – Distance.

• w0 (float) – Beamradius at \(z = z_0\).

• z0 (float) – Plane of focus \(x_0\), the center of the hyperbola.

• zr (float) – Rayleigh length \(z_R\), the depth of focus.

Returns:

w – Hyperbola evaluated at all z.

Return type:

numpy.ndarray