We develop the theory of optical beam shifts (both Goos–Hänchen and Imbert–Fedorov) for case near-normal incidence, when incident angle becomes comparable with angular divergence. The developed uncovers unified origin anomalous shift enhancement via geometric Berry phase singularity. Particularly, we predict large occurring small incidence angles. also propose a simple experimental scheme invol...

the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.