Abstract
The interest in χ(2)-materials and related nonlinear wave-propagation effects has been driven for a long time by potential applications in efficient blue-light generation by Second Harmonic Generation (SHG) and electro-optical switching.1 Recently additional interest has been raised by advances in polymeric χ(2)-materials which promise large nonlinear phase-shifts by cascading of second order effects.2 From a practical point of view the interest in SHG has been dominated by guided mode—guided mode interactions. Guided mode—radiation mode interactions have been studied as well3 but analytical relations are difficult to obtain due to the problems associated with normalisation of radiation modes and consequently most work has focused on efficiency of SHG in the no-depletion limit. However, coupling to radiation modes and accompanying depletion of the field at ω can be easily studied by means of the SHG Beam Propagation Method.4 This method is an extension of normal BPM's and consists of a split-step approach in which the calculation of the propagation of the fields at the two wavelengths is alternated by the calculation of the nonlinear interactions.
© 1995 IEEE
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