Aplanatic and Telescopic Lens with a Radial Gradient of Refraction Index

Abstract

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.

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V. Tarkhanov, "Aplanatic and Telescopic Lens with a Radial Gradient of Refraction Index," Optics and Photonics Journal, Vol. 3 No. 7, 2013, pp. 351-359. doi: 10.4236/opj.2013.37055.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[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.

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