It is shown that aplanatic lens with a radial gradient
of refraction index is simultaneously a telescopic lens, notably not only for
an axial beam, but also for an off axis parallel beam. Consideration is carried
out by an algebraic way on the basis of regularities of ray paths. It is also
shown that aplanatic and telescopic properties of the lens are independent of
the refracting surface shapes. Various versions of lens performance are shown
below.
References
[1]
V. I. Tarkhanov, “Calculation of an Aplanatic Lens with an Axial Gradient of the Refractive Index,” Optico-Mechanicheskaya Promyshlennost, No. 5, 1990, pp. 35-37.
[2]
V. I. Tarkhanov, “Aplanatic Lens with a Radial Gradient of Refraction Index,” In: I. Chen, Ed., Lasers, Optics, and Electro-Optics Research, Nova Science Publishers, New York, 2007, pp. 23-30.
[3]
A. L. Mikaelyan, “Application of the layered medium for focusing of waves,” Doklady Akademii Nauk SSSR, Vol. 81, No. 4, 1951, pp. 569-571.
[4]
V. G. Ilyin, et al., “Physical Fundamentals for Gradient Index Optics (textbook),” Leningrad Polytechnic Institute, Leningrad, 1990.
