J. Phys. III France
Volume 4, Numéro 12, December 1994
Page(s) 2451 - 2458
DOI: 10.1051/jp3:1994290
J. Phys. III France 4 (1994) 2451-2458

Modal theory of diffraction : a powerful tool for the study of grating couplers in nonlinear optics

R. Reinisch1, M. Nevière2, H. Akhouayri3, J. Danckaert1 and G. Vitrant1

1  Laboratoire d'Electromagnétisme, Microondes et Optoélectronique, URA CNRS 833, ENSERG, 23 av. des Martyrs, B.P. 257, 38016 Grenoble Cedex, France
2  Laboratoire d'Optique Electromagnétique, URA CNRS 843, Faculté des Sciences et Techniques de St-Jérôme, 13397 Marseille Cedex 13, France
3  ENSPM, Domaine Universitaire de St-Jérôme, Av. Escadrille Normandie-Niemen, 13397 Marseille Cedex 20, France

(Received 22 December 1993, revised 29 March 1994, accepted 2 May 1994)

It is shown that the simultaneous use of the coupled-mode formalism and of the rigorous theory of diffraction in linear optics leads to a simple modal theory of grating couplers on nonlinear waveguides. Two examples are considered : optical Kerr effect and second harmonic generation. In Kerr-type grating couplers, despite its simplicity, this modal analysis is able to predict $\ll$ exotic $\gg$ behaviors such as, for example, chaos.

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