Jinc Transverse Profile

Used to define a Jinc transverse laser profile (i.e., a profile described by the function \(2 \frac{J_1(r/w_0)}{r/w_0}\), where \(r\) is the radius and \(J_1\) is the Bessel function of the first kind of order 1).

The shape of the profile is characterised by the waist \(w_0\).

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class lasy.profiles.transverse.JincTransverseProfile(w0)

Class for the analytic profile of a Jinc laser pulse.

The transverse envelope corresponds to:

\[\mathcal{T}(x, y) = 2\frac{J_1(r/w_0)}{r/w_0} \textrm{, with } r=\sqrt{x^2+y^2}\]

where \(J_1\) is the Bessel function of the first kind of order one

Parameters:

w0float (in meter)

The waist of the laser pulse, i.e. \(w_0\) in the above formula.