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Multimode fiber imaging using transmission matrix (TM) is a promising way of deep inspection of living objects. These techniques, however, face a problem of obtaining the transmission matrix using phase-shifting interferometry with external reference beam, which requires additional instrumentation and increases space requirements of the experiment. We suggest a method employing input mode represented by a focal spot at the proximal end of the fiber as an internal reference wave. Due to speckle nature of the output, it is necessary to cover blind spots in the transmission matrix arising from the lack of interference signal by several measurements with different input modes used as a reference. The effect of optimized selection of internal references will be analyzed and compared with the external reference approach.
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Petr Jákl, Martin Šiler, Jan Ježek, Johanna Trägårdh, Pavel Zemánek, Tomáš Čižmár, "Multimode fiber transmission matrix obtained with internal references," Proc. SPIE 10886, Adaptive Optics and Wavefront Control for Biological Systems V, 1088610 (20 February 2019); https://doi.org/10.1117/12.2510668