Technical memorandum: Stereographic projection of axisymmetric nonuniform lens media
作者:
S.Cornbleet,
期刊:
IEE Proceedings H (Microwaves, Antennas and Propagation)
(IET Available online 1989)
卷期:
Volume 136,
issue 6
页码: 499-501
年代: 1989
DOI:10.1049/ip-h-2.1989.0089
出版商: IEE
数据来源: IET
摘要:
The radial variation of refractive index in the Maxwell fish-eye can be derived from the stereographic projection of the geodesies of the uniform sphere, as shown originally by Luneburg. This produces a perfect focus at the point diametrically opposite the source point. The generalisation of this is a refractive index law that provides for repetitive refocusing at points equispaced about the circle and for a medium which is axisymmetric. It is shown that this can be derived as the stereographic projection of a nonuniform sphere on which the latitudinal refractive index is such that the same form of focusing is obtained about the equator. The method in reverse then gives the surface law on the sphere corresponding to any radial variation in the plane and is illustrated for the Luneburg lens itself.
点击下载:
PDF
(296KB)
返 回