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Controlling gradient phase distributions in a model of active antenna array with locally coupled elements

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Abstract

The regime of synchronization with a certain gradient phase distribution and the possibility of controlling such distribution in a linear array of oscillators coupled by phase-locked loops (PLLs) have been theoretically studied. It is shown that a constant phase progression can be controlled by manipulating collective dynamics, with oscillator eigenfrequencies and coupling coefficients being the control parameters. The proposed principle of control, based on the nonlinear dynamics of PLL-coupled oscillators, can be used in solving the problems of phasing and controlled beam scanning in antenna arrays operating in different frequency bands.

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References

  1. P. Liao and R. A. York, IEEE Trans. Microwave Theory Tech. 31, 1810 (1993).

    Article  Google Scholar 

  2. T. Heath, K. Wiesenfeld, and R. A. York, Int. J. Bifurcation and Chaos 10, 2619 (2000).

    Google Scholar 

  3. G. A. Leonov and V. G. Smirnova, Mathematical Problems of Phase Synchronization Theory (Nauka, St. Petersburg, 2000) [in Russian].

    MATH  Google Scholar 

  4. V. S. Afraimovich, V. I. Nekorkin, G. V. Osipov, and V. D. Shalfeev, in Stability, Structures, and Chaos in Nonlinear Synchronization Networks, Ed. by A. V. Gaponov-Grekhov and M. I. Rabinovich (Inst. Prikl. Fiz. Akad. Nauk SSSR, Gorki, 1989) [in Russian].

    Google Scholar 

  5. R. A. York and T. Itoh, IEEE Trans. Microwave Theory Tech. 46, 1920 (1998).

    Article  Google Scholar 

  6. R. D. Martinez and R. C. Compton, IEEE Microwave Guid. Wave Lett. 4, 166 (1994).

    Article  Google Scholar 

  7. K. G. Mishagin and V. D. Shalfeev, in Proceeding of SPIE International Symposium on Optics and Photonics, San Diego, 2005; Proc. SPIE 5892, 477 (2005).

    ADS  Google Scholar 

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Original Russian Text © K.G. Mishagin, V.D. Shalfeev, 2006, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2006, Vol. 32, No. 23, pp. 32–39.

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Mishagin, K.G., Shalfeev, V.D. Controlling gradient phase distributions in a model of active antenna array with locally coupled elements. Tech. Phys. Lett. 32, 1014–1016 (2006). https://doi.org/10.1134/S1063785006120054

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  • DOI: https://doi.org/10.1134/S1063785006120054

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