TY - JOUR
T1 - Second harmonic generation
T2 - the solution for an amplitude-modulated initial pulse
AU - Steudel, H.
AU - Figueira de Morisson Faria, C.
AU - Paris, M.G.A.
AU - Kamchatnov, A.M.
AU - Steuernagel, O.
N1 - Original article can be found at: http://www.sciencedirect.com/science/journal/00304018 Copyright Elsevier B.V. [Full text of this article is not available in the UHRA]
PY - 1998
Y1 - 1998
N2 - 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.
AB - 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.
U2 - 10.1016/S0030-4018(98)00100-X
DO - 10.1016/S0030-4018(98)00100-X
M3 - Article
SN - 0030-4018
VL - 150
SP - 363
EP - 371
JO - Optics Communications
JF - Optics Communications
IS - 1-6
ER -