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    Optics Letters
    |December 24, 2024
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    A new method reconstructs ultra-short fiber Bragg grating (US-FBG) sensor spectra using arrayed waveguide gratings and convex optimization. This achieves high-accuracy wavelength demodulation, expanding FBG sensor applications.

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    Area of Science:

    • Optical Sensing
    • Photonics and Waveguide Devices

    Background:

    • Traditional methods for ultra-short fiber Bragg grating (US-FBG) sensors often rely on output power ratios, limiting demodulation range.
    • Existing arrayed waveguide grating (AWG) based demodulation techniques face limitations in their demodulation range.

    Purpose of the Study:

    • To propose and demonstrate a novel wavelength demodulation method for US-FBG sensors.
    • To overcome the demodulation range limitations of conventional AWG-based methods.
    • To achieve high-precision, wide-range, and cost-effective demodulation of US-FBG sensors.

    Main Methods:

    • Utilizing an arrayed waveguide grating (AWG) to sample the US-FBG spectrum.
    • Constructing underdetermined matrix equations using prior transmission response information and detected output power.
    • Solving the matrix equations with a convex optimization algorithm to reconstruct the US-FBG spectrum.
    • Demodulating the US-FBG by tracking the peak of the reconstructed spectrum.

    Main Results:

    • Successful spectral reconstruction of the US-FBG.
    • Achieved a wavelength demodulation accuracy better than 4 pm.
    • Demonstrated effectiveness using only five consecutive AWG channels for spectral sampling.
    • Axial strain applied to the US-FBG sensor resulted in measurable peak wavelength shifts.

    Conclusions:

    • The proposed spectral reconstruction method enables accurate wavelength demodulation for US-FBG sensors.
    • This technique expands the applicability of FBG sensors and overcomes previous range limitations.
    • The method offers potential for high-precision, wide-range, flexible, and cost-effective optical sensing solutions.