Abstract

A theory of the two-wave mixing in a photo-refractive medium placed in a ring cavity is developped following the model first derived by Yariv and Kwong^[1]: a steady refractive index involving the photorefractive effect is used as a non-linear source-term (p_NL) in the Maxwell equations, and the cavity field is expanded on the transverse cavity modes. In this model we take into account the intensity change of both the pump and resonator beams inside the crystal due to the mutual power exchange: we develop a multimode model which gives in the long-time the z-dependance of the field (z is the optical axis) for a passage in the crystal, using the expansion in terms of the complete set of the cavity transverse modes.^[2]

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