Geometric limits to geometric optical imaging with infinite, planar, non-absorbing sheets
Optics
2009-05-25 v2
Abstract
New ray-optical elements allow generalized refraction of light rays, but geometry imposes limitations on possible mappings between the positions of an object and its geometric image. Here I study the case of an infinite, planar, non-absorbing sheet that images the entire three-dimensional space. The most general case of such a sheet is equivalent to a thin lens with different object- and image-sided focal lengths. Special cases include ordinary thin lenses, confocal lenslet arrays, and negative refraction with n_2 = -n_1.
Cite
@article{arxiv.0901.3669,
title = {Geometric limits to geometric optical imaging with infinite, planar, non-absorbing sheets},
author = {Johannes Courtial},
journal= {arXiv preprint arXiv:0901.3669},
year = {2009}
}
Comments
10 pages, 1 figure