Double-lens extended fractional Fourier transform

A double-lens extended fractional Fourier transform (EFRT) is proposed. In the double-lens setup, arbitrary-order EFRTs including real orders and complex orders can be carried out. To verify that the single-lens EFRT and the double-lens EFRT are equivalent, numerical simulations and optical experiments for the real-order EFRT and the complex-order EFRT are performed. Their results indicate that the double-lens EFRT is consistent with the single-lens EFRT. Thus the double-lens setup can be regarded as another basic optical configuration. Compared with the single-lens EFRT, the double-lens EFRT has some advantages.