@MASTERSTHESIS\{IMM2003-02550,
    author       = "H. C. Arnbak",
    title        = "Wave Propagation in Systems with Alternating Linear and Nonlinear Layers",
    year         = "2003",
    keywords     = "Dirac's Delta Function and its Derivatives, Linear Approximations, Nonlinear Schroedinger Equation",
    school       = "Informatics and Mathematical Modelling, Technical University of Denmark, {DTU}",
    address      = "Richard Petersens Plads, Building 321, {DK-}2800 Kgs. Lyngby",
    type         = "",
    note         = "Supervisor: Peter Leth Christiansen",
    url          = "http://www2.compute.dtu.dk/pubdb/pubs/2550-full.html",
    abstract     = "The goal of this thesis, is to find the transmission for a delta prime shaped potential with Kerr nonlinearity. First, where necessary, Dirac's delta function and its derivatives are regularized with rectangular approximations, and the linear Schroedinger equation is solved. Then the corresponding Schroedinger equation with Kerr nonlinearity is introduced and investigated.

Resume p{\aa} dansk:

M{\aa}let er at finde transmissionen for en delta m{\ae}rke formet potentiale med Kerr ikke-line{\ae}ritet. F{\o}rst er Dirac's delta funktion og dens afledede om n{\o}dvendigt regulariseret ved hj{\ae}lp af rektangul{\ae}re approksimationer og Schroedinger ligningen er l{\o}st. S {\aa} bliver den korresponderende Schroedinger ligning med Kerr uline{\ae}ritet introduceret og unders{\o}gt."
}