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A problem of tomography reconstruction of functions of spatial distribution of vector physical fields by using two- dimensional measuring network based upon fiber-optics measuring lines having integral sensitivity is discussed. The problem solution was found for cases (1) output signal from measuring lines is formed under action of vector projection, (2) output signal is formed under action of the derivative of vector projection along measuring lines axis. (3) output signal is formed under action of square of vector projection.
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Yuri N. Kulchin, Oleg B. Vitrik, Oleg T. Kamenev, Roman V. Romashko, "Vector field reconstruction in fiber optics measuring network," Proc. SPIE 4513, Optoelectronic Information Systems and Processing, (8 August 2001); https://doi.org/10.1117/12.435897