Abstract. Lenses of non-uniform
dielectric are used in both optical and radio bands. Compared with homogeneous
lenses, they have an additional degree of freedom - the gradient of the
refractive index of the dielectric. However, the study of aberrations in such
lenses when the source is shifted out of focus is complicated due to the curved
shape of the rays. The formula for the eikonal on the output surface of a
cylindrical gradient lens with a one-dimensional gradient of the refractive
index when the source is displaced from the focus in the form of decomposition
of the eikonal in the series by the powers of values of longitudinal and
transverse displacement, including members of the first and second order of
smallness is derived. The accuracy of the obtained formula for eikonal in a
gradient lens is estimated.
Key words: gradient lenses, rays, eikonal.
References
1. Erich W. Marchand, Aberrations of Wood
and GRIN rod lenses. Applied Optics, Vol.25, No.19, 1 October
1986.
2. A.S.Venetskiy, V.A.Kaloshin, The Eikonal Distribution
on a Lens Surface. Doklady Physics, 2015, Vol. 60, No. 8, pp.
344–348.
3. A.S.Venetskiy, V.A.Kaloshin, On Aberrations of
Eikonal in Planar Lens Antennas. Journal of Communications Technology and Electronics, 2017, Vol. 62, No. 6,
pp. 558–564.
For citation:
A. S. Venetskiy.
The eikonal
distribution on a gradient cylindrical
lens surface.
Zhurnal Radioelektroniki - Journal of
Radio Electronics. 2018. No. 8. Available at
http://jre.cplire.ru/jre/aug18/7/text.pdf
DOI
10.30898/1684-1719.2018.8.7