Bifocal system of two reflect arrays

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Abstract

A technique has been developed for accurately solving the problem of geometric-optical synthesis of a bifocal system of two flat reflect arrays, based on the sequential determination of the distribution of the eikonal introduced by different sections of the arrays, with its assignment at the initial section of one of the arrays, while the introduced eikonal at the initial section of the other array is found as a result of synthesis of the output flat front for the central position of the feed. The technique ensures the continuity of functions describing the distributions of introduced eikonals, as well as their first and second derivatives (along one coordinate) at the boundaries of sections. The dependence of the value of the mean square eikonal aberration at the system output on the arrays parameters has been studied. As an example of the application of the developed technique, the bifocal systems for visual angles of 40° and 65° were synthesized and optimized. A study of the radiation characteristics of an antenna based on synthesized and optimized bifocal systems was carried out.

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About the authors

V. A. Kaloshin

Kotelnikov Institute of Radioengineering and Electronics RAS

Author for correspondence.
Email: vak@cplire.ru
Russian Federation, st. Mokhovaya, 11, build. 7, Moscow, 125007

Trinh Van Tuan

Moscow Institute of Physics and Technology (National Research University)

Email: vak@cplire.ru
Russian Federation, Institutsky per., 9, Dolgoprudny, Moscow region, 141700

References

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Supplementary files

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2. Fig. 1. Two—dimensional bifocal system: 1 — auxiliary grid; 2 — main grid; 3 — distribution of eikonal introduced by grid 1; 4 - distribution of eikonal introduced by grid 2.

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3. Fig. 2. Three—dimensional bifocal system: 1 — auxiliary grid; 2 — main grid; 3 - eikonal distribution introduced by grid 1; 4 — eikonal distribution introduced by grid 2.

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4. Fig. 3. Geometry of a system with a focal curve: 1 — grid 1; 2 — grid 2; 3 — focal curve.

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5. Fig. 4. Lines of 106 σ level depending on the parameters p and f/p: (a) — 40° angle of view (x0 = 0.15, d = 1), (b) — 65° angle of view (x0 = 0.205, d = 1).

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6. Fig. 5. The dependence of the value 104σ of optimal bifocal systems on the angle of view: x0 = 0.205, f/p = 0.93 34, p = 0.9575 (curve 1); x0 = 0.15, f/p = 1.0043, p = 0.9815 (curve 2).

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7. Fig. 6. Projection of the three-dimensional bifocal system onto the XY plane.

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8. Fig. 7. Beam patterns of a bifocal antenna in the H-plane.

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9. Fig. 8. Dependences of the gain coefficients (a) and the aperture stack (b) on the angle of view at frequencies: 18 (1), 20 (2), 22 (3), 24 (4), 26 (5), 28 (6) and 30 GHz (7).

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