English

Flat Lens Criterion by Small-Angle Phase

Optics 2015-02-20 v1

Abstract

We show that a classical imaging criterion based on angular dependence of small-angle phase can be applied to any system composed of planar, uniform media to determine if it is a flat lens capable of forming a real paraxial image and to estimate the image location. The real paraxial image location obtained by this method shows agreement with past demonstrations of far-field flat-lens imaging and can even predict the location of super-resolved images in the near-field. The generality of this criterion leads to several new predictions: flat lenses for transverse-electric polarization using dielectric layers, a broadband flat lens working across the ultraviolet-visible spectrum, and a flat lens configuration with an image plane located up to several wavelengths from the exit surface. These predictions are supported by full-wave simulations. Our work shows that small-angle phase can be used as a generic metric to categorize and design flat lenses.

Keywords

Cite

@article{arxiv.1502.05467,
  title  = {Flat Lens Criterion by Small-Angle Phase},
  author = {Peter Ott and Mohammed H. Al Shakhs and Henri J. Lezec and Kenneth J. Chau},
  journal= {arXiv preprint arXiv:1502.05467},
  year   = {2015}
}
R2 v1 2026-06-22T08:32:56.165Z