A uniqueness theorem is proven for the problem of the recovery of a complex valued compactly supported 2-D function from the modulus of its Fourier transform. An application to the phase problem in optics is discussed.

We report a closed analytical expression formulating the reconstruction guarantees for performing object tomography of a 3D object from its 2D recorded hologram. OCIS codes: (090.1995) Digital holography; (070.0070) Fourier optics and signal processing; (100.3190) Inverse problems; (110.1758) Computational imaging

The fractional cosine and sine transforms – closely related to the fractional Fourier transform, which is now actively used in optics and signal processing – are introduced and their main properties and possible applications are discussed.

An optical pulse asymptotically reaching zero group velocity in tapered waveguides can ultimately stop at a certain position the taper accompanied by strong spatial compression. This phenomenon also be observed spatiotemporal systems where reaches of front. The first system is well known from plasmonic adiabatic nano-focusing light observed. Its counterpart push broom effect nonlinear front col...