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Modulational instability in one-dimensional saturable waveguide arrays: Comparison with Kerr nonlinearity |
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| Authors: | Milutin Stepi? Christian E Rüter Aleksandra Maluckov |
| Institution: | a Institute of Physics and Physical Technologies, Clausthal University of Technology, Leibnizstraße 4, D-38678 Clausthal-Zellerfeld, Germany b Vin?a Institute of Nuclear Sciences, P.O. Box 522, 11001 Belgrade, Serbia and Montenegro c Faculty of Sciences and Mathematics, Department of Physics, P.O. Box 224, 18001 Niš, Serbia and Montenegro |
| Abstract: | Discrete modulational instability within the first band of uniform one-dimensional waveguide arrays possessing a saturable self-defocusing nonlinearity is investigated in detail within the coupled mode approach. Explicit analytical results for both the threshold and the maximal gain of instability are compared with the corresponding data from waveguide arrays exhibiting Kerr nonlinearity. We find that saturation bounds the interval of existence of discrete modulational instability, stabilizes the frequency region of perturbations around ±π/2 and decreases both gain and critical spatial frequency of perturbations. |
| Keywords: | 42 65 Wi 42 65 Sf |
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