Abstract

The multifrequency diffraction effects of guided optical waves with multiple magnetostatic forward volume waves (MSFVWs) excited in magnetooptic (MO) film waveguides under a normal bias magnetic field are theoretically studied for the first time. Multifrequency MO coupled-mode equations and the analytic solution for small-signal approximation are presented. It is shown that, in the small-signal case, the second or higher order diffraction can be neglected in multifrequency MO coupling and the principal diffraction efficiency (PDE) is proportional to the MSFVW power. Thus, the method of determining the small-signal or linear dynamic range is very important for the design of MO spectrum analyzers. The process of multiple diffractions caused by two MSFVW signals in a third-order MO coupling approximation is analyzed in detail. The small-signal limit can be determined according to the MSFVW power dependences of the PDEs, instead of those of the depletions. The multi-frequency diffraction theory can be applied to the quantitative evaluation of linear and nonlinear effects occurring in MO multi-frequency applications.

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