NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.
Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.
An official website of the United States government
Here’s how you know
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Peter Ott, Mohammed H. Al Shakhs, Henri Lezec, Kenneth J. Chau
Abstract
It is sometimes possible to image using a flat lens consisting of planar, uniform media. There is conceptual division between theoretical flat lens proposals, which require exotic properties such as negative index or counter-intuitive behavior such as evanescent wave amplification, and practical implementations, which are based on metallic thin films and restricted to transverse-magnetic polarization. With the goal of consolidating the flat lens literature by a universal method of analysis, we introduce a criterion based on angular dependence of small-angle phase that can be applied to any planar medium to determine if it is a flat lens and to estimate its image plane location. The analysis is substantiated by consistency with past at lens results spanning diverse configurations and operation conditions. We highlight new possibilities of a flat lens for transverse-electric polarization using dielectric layers and a broadband at lens working across the ultraviolet-visible spectrum.
Ott, P.
, Al Shakhs, M.
, Lezec, H.
and Chau, K.
(2014),
Flat lens criterion by small-angle phase, Optics Express, [online], https://doi.org/10.1364/OE.22.029340, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=915969
(Accessed October 13, 2025)