Second harmonic generation : the solution for an amplitude-modulated initial pulse
Author
Steudel, H.
Figueira de Morisson Faria, C.
Paris, M.G.A.
Kamchatnov, A.M.
Steuernagel, O.
Attention
2299/4107
Abstract
We address the initial value problem for one-dimensional second harmonic generation starting from a purely amplitude-modulated fundamental wave. A general method to solve the problem in terms of a Schrödinger equation is presented, in which the initial pulse-shape is taken as a potential. Several examples with the complete solution given in analytical form are discussed. A much broader class of solutions can be found with the help of a single numerical integration. In particular, solutions with incident pulses approximating a sech2 -shape have been obtained.