Algebraic solutions for the Fourier transform interrogator

A new method for fast, high resolution interrogation of an array photonic sensors is proposed. The technique based on the integrated Fourier transform (FT) interrogator previously introduced by authors. Compared to other interferometric interrogators, FT-interrogator very compact and has unprecedented tolerance variations in nominal values sensors’ resonance wavelength. In this paper, output voltages are written as a polynomial function complex variables whose modulus unitary argument encodes wavelength modulation sensors. Two different methods proposed solve system equations. both cases, Gröbner basis ideal computed using lexicographical monomial ordering, resulting polynomials variable contributions can be decoupled. Using NVidia graphics processing card, time 1 026 000 systems algebraic equations takes around 9 ms, which more than two orders magnitude faster Such performance allows real high-speed Multiple solutions satisfy equations, but, general, only one gives actual Other have been used optimization, leading reduction cross-talk among dynamic strain 1.66 n ε / H z .