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General Solution of the Problem of Synthesis of a Gradient Lens with Central Symmetry

  • ANTENNA AND FEEDER SYSTEMS
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Abstract—A general solution is obtained for the problem of synthesizing a gradient dielectric lens with central symmetry and external focus, which transforms the field of a point source into a given geometric-optical field. As an example of using the obtained solution, the problem of synthesizing a lens that forms a table-shaped radiation pattern is considered. By means of numerical simulation by the finite element method, an analysis of a multibeam planar lens antenna based on a synthesized lens made in the form of a set of dielectric rings located between two metal disks was carried out.

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REFERENCES

  1. S. Zhang, R. K. Arya, W. G. Whittow, et al., IEEE Trans. Antennas Propag. 69, 3788 (2021).

    Article  Google Scholar 

  2. K. Voigtlaender and K. Wagner, “Multi-Beam Automobile Radar System,” US Pat, No. 6 043, 772 (Mar. 28, 2000).

    Google Scholar 

  3. R. K. Luneburg, Mathematical Theory of Optics (Brown Univ., Providence, 1944).

    MATH  Google Scholar 

  4. A. S. Gutman, J. Appl. Phys. 25, 855 (1954).

    Article  Google Scholar 

  5. E. G. Zelkin and R. A. Petrova, Lens Antennas (Sovetskoe Radio, Moscow, 1974).

    Google Scholar 

  6. A. F. Kay, IRE Trans. Antennas Propag. 7, 32 (1959).

    Article  Google Scholar 

  7. S. P. Morgan, J. Appl. Phys. 19, 1358 (1958).

    Article  Google Scholar 

  8. V. A. Kaloshin and V. Ya. Shcherbenkov, Radiotekh. Elektron. (Moscow) 18, 26 (1973).

    Google Scholar 

  9. J. Ruiz-Garcia, E. Martini, C. D. Giovampaola, et al., IEEE Trans. Antennas Propag. 69, 3924 (2021).

    Article  Google Scholar 

  10. P. P. Zabreiko, A. I. Koshelev, M. A. Krasnosel’skii, et al., Integral Equations (Nauka, Moscow, 1968).

    MATH  Google Scholar 

  11. L. A. Vainshtein Theory of Diffraction and Method of Factorization (Sovetskoe Radio, Moscow, 1966).

    Google Scholar 

  12. V. V. Akhiyarov, V. A. Kaloshin, and E. A. Nikitin, Zh. Radioelektron., No. 1 (2014). http://jre.cplire.ru/jre/jan14/18/text.pdf.

  13. V. A. Kaloshin and S. V. Stoyanov, Radiotekh. Elektron. (Moscow) 35, 2640 (1989).

    Google Scholar 

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Funding

The study was supported by a state task (topic no. 0030-2019-006).

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Authors and Affiliations

  1. Institute of Radioengineering and Electronics, Russian Academy of Sciences, 125007, Moscow, Russia

    A. S. Venetskiy & V. A. Kaloshin

  2. Moscow Institute of Physics and Technology (National Research University), 141700, Dolgoprudny, Moscow oblast, Russia

    T. T. Chan

Authors
  1. A. S. Venetskiy
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  2. V. A. Kaloshin
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  3. T. T. Chan
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Correspondence to A. S. Venetskiy.

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Venetskiy, A.S., Kaloshin, V.A. & Chan, T.T. General Solution of the Problem of Synthesis of a Gradient Lens with Central Symmetry. J. Commun. Technol. Electron. 67, 946–951 (2022). https://doi.org/10.1134/S1064226922080162

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  • DOI: https://doi.org/10.1134/S1064226922080162

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