Data Analysis

Laser Beam Profile

Show your calculation for the beam waist and its uncertainty. Compare your value to the size of the pinhole you are using.
Show a plot of your beam profile measurement with the pinhole in the beam expander. Fit the data using Equation (4). The Python syntax for such a function will require the erf thingy from scipy. Use the following code line at the beginning of your script where you import packages:

$\verb; from scipy.special import erf ;$

then use the following syntax for the function, where it should be obvious how each variable affects the function:

$\verb;A*erf(np.sqrt(2)*(x-a)/(b))+c ;$
State the width of the beam and its uncertainty. Note that Python will determine the width as the width between $1/e^2$ of the max.

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