Temperature insensitive single-mode-multimode-single-mode fiber optic structures with two multimode fibers in series

We propose and demonstrate a temperature insensitive single-mode-multimode-single-mode fiber optic structure consisting of two in-series multimode fibers of appropriate lengths and of opposite temperature sensitivities. A simple approximate expression to estimate the required length ratio of the multimode fiber sections has also been derived whose prediction is found in good agreement with the experiment. The study should be useful in realizing various fiber optic devices based on multimode interference with zero temperature cross sensitivity.