Single-Fourier transform based full-bandwidth Fresnel diffraction

Abstract In physical optics, Fresnel diffraction matters. The single Fourier transform method has been widely used in Fresnel diffraction calculation and can perform the direct computation of the output field with high efficiency. Based on a phase-space analysis, we find that the conventional single Fourier transform method cannot correctly deal with the full bandwidth of the input field. Aliasing occurs with high-frequency components because the bandwidth transfer capacity of the conventional method is insufficient, which greatly deteriorates the calculation accuracy. To address this serious problem, we propose a single Fourier transform-based full-bandwidth Fresnel diffraction calculation method. By rearrangement of the sampling resources, all the frequency components can be correctly transferred for accurate, efficient, and flexible Fresnel diffraction calculation.