Print Email Facebook Twitter Algebraic solutions for the Fourier transform interrogator Title Algebraic solutions for the Fourier transform interrogator Author Grillo Peternella, F. (TU Delft ImPhys/Optics) Harmsma, Peter (TNO) Horsten, R.C. (TU Delft ImPhys/Optics) Zuidwijk, T. (TU Delft ImPhys/Optics) Urbach, Paul (TU Delft ImPhys/Optics) Adam, A.J.L. (TU Delft ImPhys/Optics) Date 2021 Abstract A new method for fast, high resolution interrogation of an array of photonic sensors is proposed. The technique is based on the integrated Fourier transform (FT) interrogator previously introduced by the authors. Compared to other interferometric interrogators, the FT-interrogator is very compact and has an unprecedented tolerance to variations in the nominal values of the sensors’ resonance wavelength. In this paper, the output voltages of the interrogator are written as a polynomial function of complex variables whose modulus is unitary and whose argument encodes the resonance wavelength modulation of the photonic sensors. Two different methods are proposed to solve the system of polynomial equations. In both cases, the Gröbner basis of the polynomial ideal is computed using lexicographical monomial ordering, resulting in a system of polynomials whose complex variable contributions can be decoupled. Using an NVidia graphics processing card, the processing time for 1 026 000 systems of algebraic equations takes around 9 ms, which is more than two orders of magnitude faster than the interrogation method previously introduced by the authors. Such a performance allows for real time interrogation of high-speed sensors. Multiple solutions satisfy the algebraic system of equations, but, in general, only one of the solutions gives the actual resonance wavelength modulation of the sensors. Other solutions have been used for optimization, leading to a reduction in the cross-talk among the sensors. The dynamic strain resolution is 1.66 nε/√Hz. To reference this document use: http://resolver.tudelft.nl/uuid:8b5b5117-69b2-49ed-a8e2-840be7cf744e DOI https://doi.org/10.1364/OE.426544 ISSN 1094-4087 Source Optics Express, 29 (16), 25632-25662 Part of collection Institutional Repository Document type journal article Rights © 2021 F. Grillo Peternella, Peter Harmsma, R.C. Horsten, T. Zuidwijk, Paul Urbach, A.J.L. Adam Files PDF oe_29_16_25632.pdf 4.37 MB Close viewer /islandora/object/uuid:8b5b5117-69b2-49ed-a8e2-840be7cf744e/datastream/OBJ/view