Gaussian Transverse Profile

Implements a standard transverse Gaussian profile. This transverse profile can also be implemented via the lowest order mode of either the Hermite or Laguerre Gaussian profiles.

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class lasy.profiles.transverse.GaussianTransverseProfile(w0, wavelength=None, z_foc=0)

Class for the analytic profile of a Gaussian laser pulse.

More precisely, at focus (z_foc=0), the transverse envelope (to be used in the CombinedLongitudinalTransverseLaser class) corresponds to:

\[\mathcal{T}(x, y) = \exp\left( -\frac{x^2 + y^2}{w_0^2} \right)\]

Parameters:

w0float (in meter)

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

wavelengthfloat (in meter), optional

The main laser wavelength \(\lambda_0\) of the laser. (Only needed if z_foc is different than 0.)

z_focfloat (in meter), optional

Position of the focal plane. (The laser pulse is initialized at z=0.)

Warning

In order to initialize the pulse out of focus, you can either:

• Use a non-zero z_foc

• Use z_foc=0 (i.e. initialize the pulse at focus) and then call laser.propagate(-z_foc)

Both methods are in principle equivalent, but note that the first method uses the paraxial approximation, while the second method does not make this approximation.