Journal of Radio Electronics. eISSN 1684-1719. 2025. ¹4

Contents

Full text in Russian (pdf)

Russian page

 

 

DOI: https://doi.org/10.30898/1684-1719.2025.4.15

 

 

 

MULTIBEAM MIRROR-LENS
APLANATIC ANTENNA

 

A.S. Venetskiy1, V.A. Kaloshin1, Trinh Van Tuan2

 

1Kotelnikov IRE RAS
125009, Russia, Moscow, Mokhovaya str., 11, b.7.

2Moscow Institute of Physics and Technology
(National Research University)
141700, Russia, Moscow region, Dolgoprudny, Institutsky per. 9.

 

The paper was received April 18, 2025.

 

Abstract. An approximate analytical solution to the problem of synthesizing generatrix of an integral symmetric aplanatic mirror-lens system in the form of series in powers of radius is found. For the special case of a system with a source located on the surface of a lens, the solution to the synthesis problem is reduced to a differential equation, using which an approximate analytical solution is also obtained. A formula for the main aberration – astigmatism of the system is found. Based on the obtained formula, optimization is carried out and optimal values of the parameters that provide a minimum root-mean-square aberration are found. Using numerical simulation, an analysis of the antenna characteristics based on an optimized symmetric aplanatic mirror-lens system is carried out depending on the angle of view.

Keywords: aplanatic system, root-mean-square aberration, optimization, mirror-lens antenna, multi-beam antenna.

Financing: The work was carried out at the expense of budgetary funding within the framework of the state assignment on topic 0030-2019-006.

Corresponding author: V.A. Kaloshin vak@cplire.ru

 

References

1. Schmidt B. Astronomical optics systems // Central Journal of Optics and Mechanics – 1932.-V.52.-N2.- P.25.

2. Maksutov D.D. Astronomical optics. L.: Nauka. 1979.

3. Mikhelson N.N. Optics of astronomical telescopes and methods of its calculation. Moscow: Fizmatlit, 1995.

4. Kaloshin V.A., Frolova E.V. Synthesis and analysis of mirror-lens beam-forming systems for planar multi-beam antennas.// Journal of Radio Ålectronics – 2015. – No. 12. http://jre.cplire.ru/jre/dec15/19/text.pdf.

5. Venetskiy A.S., Kaloshin V.A., Trinh Van Tuan. Synthesis and analysis of an aplanatic mirror-lens system with axial symmetry // Radiotechnika i Electronika. 2024.- No. 6.- P. 533–540.

6. Fradin A.Z. Microwave antennas. M.: Sov. radio, 1957.

7. Venetskiy A.S., Kaloshin V.A., On Eikonal Aberrations in Axisymmetric Double_Reflector Telescopic Systems, Journal of Communications Technology and Electronics. 2016. -Vol. 61.- No. 4.- Ð. 385–394

8. Venetskiy A.S., Kaloshin V.A. Eikonal Distribution on the Surface of an Axisymmetric Dielectric Lens and Minimization of Aberrations // Journal of Communications Technology and Electronics. 2018.- Vol. 63.- No. 2.- Ð. 163–174.

For citation:

Venetskiy A.S., Kaloshin V.A., Trinh Van Tuan. Multi-beam mirror-lens aplanatic antenna. // Journal of Radio Electronics. – 2025. – ¹. 4. https://doi.org/10.30898/1684-1719.2025.4.15 (In Russian)