The S-matrix for the Aharonov–Bohm scattering is considered, and optical theorem derived. persistence of Fraunhofer diffraction in short-wavelength limit shown to be crucial maintaining quasiclassical limit.

Fractional vortex beams (FVBs) possess unique topological properties that are manifested in the distribution. However, there still discrepancies value of strength FVBs at far field. In this work we present a complete picture behavior phase singularities non-integer (commonly known as fractional) Fraunhofer diffraction region and demonstrate very good correspondence between experiments simulatio...

We introduce a multilevel spiral phase plate (SPP) limited by a pseudoring polygonal aperture (PRPA). Such an SPP has the advantages of easier fabrication and greater suppression of the sidelobes of the diffraction field over that generated with a polygonal aperture (PA). The Fraunhofer diffraction fields generated by an SPP with a PRPA or with a PA have the same topological charge features and...

The closed form of the complete far-field asymptotic series is provided for the scalar and electromagnetic monochromatic fields in free space whose angular spectrum is smooth over the sphere of directions. The first few terms of this series are also shown to give corrections to the Fraunhofer diffraction formula. The application of this series is illustrated with two examples corresponding to a...

We present an optical technique to detect cantilever deflection of an array using Fraunhofer diffraction patterns. Application areas include probe-based data storage. Intensity profiles of different cantilever arrays are captured on a CCD camera and compared with our model. These measurements are in excellent agreement with the Fraunhofer theory, less than 3% deviation is found. Each cantilever...