We propose and demonstrate a reconfigurable photonic fractional Fourier transformer (PFrFTer). A linear chirp light serves as the fractional Fourier transform (FrFT) kernel to rotate the time-frequency plane, forming an optical fractional Fourier domain (FrFD). The input signal is projected on the FrFD, and the FrFT of the signal is obtained. The order of the PFrFTer is reconfigurable and can be adjusted by changing the chirp rate of the light. In the experiment, we obtain the FrFT results of a typical linear frequency modulated wave (LFMW) with a bandwidth of 12 GHz at different orders based on the PFrFTer. By comparing these results with the digital FrFT calculation, it is found that the mean square error between them is less than 4×10-4, which confirms the effectiveness of the PFrFTer. Besides, we demonstrate a practical application of the reconfigurable PFrFTer: the absolute measurement of the chirp rate of an LFMW.
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