Abstract
In the normal dispersion regime, two forms of modulation instability have been observed in birefringent single-mode fibers. These instabilities ate the cross phase or XPMI process1,2 and the coherent or PMI process,3,4 The PMI process, characterized by sidebands that are orthogonally polarized with respect to the pump radiation, has also recently been observed in periodically birefringent fibers.5,6 This phenomenon can be explained by a “quasi-phase-matching” argument for the four-wave-mixing process involved, whereby the process is phase-matched on average after traversing the straight and the curved sections. The phase-matching argument can be extended to predict the existence of higher order sidebands at frequencies where the net phase shift after traversing the straight and the curved sections is an integral multiple of 2π. For fibers wound as in Fig. 1, this requirement reduces to Δk1l1 + Δk2l2 = 2nm, where Δk1 and Δk2, and ate the wave vector mismatches is the straight anti bent sections, respectively.
© 1997 Optical Society of America
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