Characterizing the structure of transmission matrix in lower dimensions

Abstract

Multimode optical fibers are promising candidates for revolutionizing telecommunication because of high data rate and endoscopic applications because of the ability to capture similar information as single mode fibers but with much smaller footprint and hence lesser invasion. The major difficulty to be overcome is determining how the data transmitted through the fiber gets scrambled, which is described by the Transmission Matrix (TM) of the fiber. Methods so far have been successful in determining a good approximation of TM only for weakly deformed fibers. We will look into calibration-free, real-time methods to determine the TM of a fiber with flexibility in conformation. The proposed method is to find a lower dimensional representation of the TM which reduces the number of unknown parameters of the TMs for different fiber configurations, such that they can be determined in real time.