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        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.
        Publication date
        1998
        Published in
        Optics Communications
        Published version
        https://doi.org/10.1016/S0030-4018(98)00100-X
        Other links
        http://hdl.handle.net/2299/4107
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