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Elements, devices, and methods for fractal communication technology, electronics, and nanotechnology

  • Fractals in Radiophysics
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Abstract

The numerous results obtained in radio physics using fractal theory, fractional dimension, and fractional operators have been briefly classified taking into account the scaling effects of real radio signals and electromagnetic fields. A universal modeling environment based on a multilayer virtual generalized distributed RLCG element and the method of generalized finite distributed elements for analysis and synthesis of models of fractional objects and processes that possess fractional power dependence of the input impedance on frequency have been proposed. Examples of synthesis of one- and two-dimensional models are given. It is shown that nonlinear, parametrical, and other properties of modeled objects can be taken into consideration by means of the vectors of electrophysical parameters of layers and design factors.

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  75. Yu. V. Gulyaev, S. A. Nikitov, A. A. Potapov, and E. N. Matveev, “Fractals in Photon-Magnetic Crystals,” in Proceedings of the 12th International Conference on Spin-Electronics, Firsanovka, Moscow Oblast, December 19–21, 2003 (MPEI (Tech. Univ.), Moscow, 2003), p. 7 [in Russian].

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  77. V. V. Bulavkin, A. A. Potapov, and O. F. Vyacheslavova, “Synergetic Approach in the Problem of Qualitative and Quantitative Estimation of the Microrelief of Processed Product Surface on the Base of Fractal Signature,” Nelineinyi Mir. 3(1–2), p. 128 (2005).

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  78. A. A. Potapov, V. V. Bulavkin, V. A. German, and O. F. Vyacheslavova, “Fractal Signature Methods for Profiling of Processed Surfaces,” Tech. Phys. 50(5), 560 (2005).

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  84. A. A. Potapov, “Development and Structure of the Ensemble of Fractal Signs of Classes of Targets for Problems of Linear and Nonlinear Radiolocation,” in Nonlinear Radiolocation, Ed. by A. A. Gorbachev, A. P. Koldanov, A. A. Potapov, and E. P. Chigin (Collection of Books of the Journal “Nelineinyi Mir”: Scientific Series “Fractals. Chaos. Probability”) (Radiotekhnika, Moscow, 2006). Collection of Articles, Pt. 2, p. 19 [in Russian].

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  85. A. A. Potapov and V. A. German, “Methods of Measuring the Fractal Dimension and Fractal Signatures of a Multidimensional Stochastic Signal,” J. Commun. Technol. Electron. 49(12), 1370 (2004).

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  86. Yu. V. Gulyaev, S. A. Nikitov, A. A. Potapov, and V. A. German, “Application of the Fractal Theory, Fractional Measure, and Scaling Effects in Schemes of Radio Signal Detectors,” Nelineinyi Mir. 4(4–5), 165 (2006).

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Authors and Affiliations

  1. Kotel’nikov Institute of Radioengineering and Electronics of the Russian Academy of Sciences, ul. Mokhovaya 11/7, Moscow, 125009, Russia

    A. A. Potapov

  2. Izhevsk State Technical University, ul. Studencheskaya 7, Izhevsk, 426069, Russia

    P. A. Ushakov

  3. Tupolev Kazan State Technical University, ul. K. Marksa 10, Kazan, Tatarstan, 420111, Russia

    A. Kh. Gil’mutdinov

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  1. A. A. Potapov
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  2. P. A. Ushakov
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  3. A. Kh. Gil’mutdinov
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Potapov, A.A., Ushakov, P.A. & Gil’mutdinov, A.K. Elements, devices, and methods for fractal communication technology, electronics, and nanotechnology. Phys. Wave Phen. 18, 119–142 (2010). https://doi.org/10.3103/S1541308X10020068

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