Nonlinear.jl

Response type for cumtrapz-based plasma polarisation, adapted from: M. Geissler, G. Tempea, A. Scrinzi, M. Schnürer, F. Krausz, and T. Brabec, Physical Review Letters 83, 2930 (1999).

PlasmaCumtrapz(t, E, ratefunc, ionpot)

Construct the Plasma polarisation response for a field on time grid t with example electric field like E, an ionization rate callable ratefunc and ionization potential ionpot.

Handle plasma polarisation routing to PlasmaVector or PlasmaScalar.

Raman polarisation response type

Calculate Raman polarisation for field/envelope Et

Raman polarisation response type for an envelope

RamanPolarEnv(t, ht)

Construct Raman polarisation response for an envelope on time grid t using response function r.

Raman polarisation response type for a carrier resolved field

RamanPolarField(t, ht; thg=true)

Construct Raman polarisation response for a field on time grid t using response function r. If thg=false then exclude the third harmonic generation component of the response.

Kerr response for envelope

Kerr response for real field

Kerr response for real field but without THG

The plasma response for a scalar electric field

The plasma response for a vector electric field.

We take the magnitude of the electric field to calculate the ionization rate and fraction, and then solve the plasma polarisation component-wise for the vector field.

A similar approach was used in: C Tailliez et al 2020 New J. Phys. 22 103038.

Square the field or envelope