22 September 1995 Bistability of second harmonic generation in optical waveguides with depletion of the pump field
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Abstract
The paper is concerned with second harmonic generation in optical resonators like prism or grating couplers when the depletion of the pump field is strong enough so that is can no longer be neglected. This means that we have to take into account the feedback between the signal field at 2(omega) circular frequency and the pump field at (omega) . Two different approaches are developed. The first one is a rigorous electromagnetic analysis based on the numerical integration of nonlinear Maxwell equations at both (omega) and 2(omega) frequencies, incorporated in a root-finding procedure to take the depletion into account. The second is based on a couple mode analysis which leads to a set of coupled mode equations governing the amplitudes of the pump and second harmonic frequency fields. These methods allow to predict that second- harmonic generation in prism or grating couplers can lead to optical bistability. Contrary to the Kerr-like bistability, this new type of bistability occurs not only at one side of the resonance maximum but on both sides provided the absolute value of the offset in the incident angle is above a threshold. The two approaches give numerical results in very good agreement. The coupled mode theory provides analytical predictions of the threshold value and brings physical insight on this new effect.
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Michel Neviere, Michel Neviere, E. Popov, E. Popov, Raymond Reinisch, Raymond Reinisch, } "Bistability of second harmonic generation in optical waveguides with depletion of the pump field", Proc. SPIE 2532, Application and Theory of Periodic Structures, (22 September 1995); doi: 10.1117/12.221234; https://doi.org/10.1117/12.221234
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