We propose the use of degenerate two-wave mixing in a S-shaped fiber double-loop resonator with double couplers to achieve the Vernier operation. The degenerate two-wave mixing is implemented by inserting a short strand of a photorefractive fiber into the common segment of two fiber loops. With a suitable twowave mixing gain and a suitable ratio between the free spectral ranges of the two fiber loop resonators, the effective free spectral range can be increased significantly.