"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 8, 2018

contents of issue      DOI  10.30898/1684-1719.2018.8.17     full text in Russian (pdf)  

Synthesis and analysis of dielectric bifocal lenses


V. A. Kaloshin 1, Huu Duc Nghiem 2

1Kotelnikov Institute of Radioengineering and Electronics of Russian Academy of Sciences, Mokhovaya str., 11- 7, Moscow 12509, Russia

2 Moscow Institute of Physics and Technology (State University),  Institutskiy per. 9, Dolgoprudny, Moscow. region., 141700, Russia


The paper is received on August 8, 2018


Abstract. A technique is developed for the synthesis of dielectric bifocal lenses that convert two divergent cylindrical waves into convergent or flat ones. The technique is based on the well-known approach with setting the initial portion of the lens surface and sequentially finding other areas. The technique ensures the smoothness of the obtained solution. As an example, we synthesized three variants of bifocal lenses with different sets of parameters and an analysis of their aberrations. Analysis of aberrations showed that the lens, which forms flat fronts at the output, has a mean-square aberration of 1.25.10-4, and for a lens with symmetrical focal curves it is 1.5.10-3.Using the finite element method, a numerical study of the scanning characteristics of a planar bifocal lens antenna was carried out. A numerical experiment was performed to confirm the scanning properties of the synthesized lenses. A cylindrical dielectric bifocal antenna with a width of 160 mm and a height of 3.4 mm was located inside a planar metal waveguide of the same height and was excited by an H- sectorial horn with an input section of 7.2 × 3.4 mm and an output cross-section of 13 × 3.4 mm at a frequency of 37.5 GHz. The geometry of the focal curve was obtained by optimization by the criterion of maximum gain. In this case, the direction of the axis of the horn radiator was also optimized. Losses in metal and dielectric were not taken into account in the calculation. The antenna efficiency is more than 0.8 in the sector of angles 25 degrees, which considerably exceeds the sector of angles between the directions of formation of ideal flat fronts ( 13 degrees).

Key words: dielectric lenses, bifocal lenses, planar lenses, aberrations, scanning.


1.     R. Brown. Dielectric bifocal lenses.  IRE International Convention Record, Vol. 4, part 1, Mar. 1956. pp. 180-187.

2.     R.L.Stenberg. J. Math. Phys., 1956. Vol. 34. P.29.

3.     F. S. Holt and A. Mayer. A design procedure for dielectric microwave lenses of large aperture ratio and large scanning angle.  IRE Trans. Antennas and Propag., 1957. Vol.  5, No. 1, pp. 2530.

4.     A.L. Peebles. A dielectric bifocal lens for multi-beam antenna applications.  IRE Trans. Antennas and Propag., 1988. Vol. 36, part 5, pp. 599 - 606.

5.  E.G.Zelkin, R.A.Petrova. Linzovye antenny [Lens Antennas]. Moscow, Sov. Radio Publ., 1974, 279 p. (In Russian)

6.     Zhe Wang, Jianhua Deng and Bing-Zhong Wang. Equivalent optical design of the bifocal lens antenna in passive millimeter imaging system, 2010 International Conference on Microwave and Millimeter Wave Technology. pp. 1739 - 1742, July 2010.

7.     Tran Vu La, Ngoc Tinh Nguyen, Massimiliano Casaletti and Ronan Sauleau. Design of medium-size dielectric bifocal lenses for wide-angle beam scanning antennas. 2012 6th European Conference on Antennas and Propagation (EUCAP), pp. 3287 - 3291, June 2012.

8.     H. Gulan, S. Marahrens, C. Rusch, B. Goettel and T. Zwick. Bifocal wide angle lens with optimized construction algorithm for 60 GHz.  2014 International Workshop on Antenna Technology: Small Antennas, Novel EM Structures and Materials, and Applications (iWAT), pp. 43 46, November 2014.

9.     B.E.Kinber, V.I.Klassen, V.I.Steblin. Theory of 3-dimentional bifocal lenses. Journal of Communication Technology and Electronics, 1983, No. 8, pp.1509-1517 (In Russian)

10. L.E. Elsgolts, S.B.Norkin. Vvedenie v teoriyu differentsialnykh uravneniy s otklonyaushchimsya argumentom [Introduction to the thory of differential equations with divergent argument]. Moscow, Nauka PUbl., 1971 (In Russian)

11. B.E.Kinber, V.I.Klassen, A.V.Shishlov, A.K.Topolev. Hybrid and polifocal antennas. Review. Antenny - Antnnas, 1987, No. 34, pp. 3-24 (In Russian)

12. Plastikov A.N. A High-Gain Multi-beam Bifocal Reflector Antenna with 40 Field of View for Satellite Ground Station Applications.  IEEE Trans. on Antennas and Propag. 2016. Vol. 64. No. 7. pp.  3251  3254.


For citation:
V. A. Kaloshin, Huu Duc Nghiem. Synthesis and analysis of dielectric bifocal lenses. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2018. No. 8. Available at http://jre.cplire.ru/jre/aug18/17/text.pdf

DOI  10.30898/1684-1719.2018.8.17