Vol. 45
Latest Volume
All Volumes
PIERM 127 [2024] PIERM 126 [2024] PIERM 125 [2024] PIERM 124 [2024] PIERM 123 [2024] PIERM 122 [2023] PIERM 121 [2023] PIERM 120 [2023] PIERM 119 [2023] PIERM 118 [2023] PIERM 117 [2023] PIERM 116 [2023] PIERM 115 [2023] PIERM 114 [2022] PIERM 113 [2022] PIERM 112 [2022] PIERM 111 [2022] PIERM 110 [2022] PIERM 109 [2022] PIERM 108 [2022] PIERM 107 [2022] PIERM 106 [2021] PIERM 105 [2021] PIERM 104 [2021] PIERM 103 [2021] PIERM 102 [2021] PIERM 101 [2021] PIERM 100 [2021] PIERM 99 [2021] PIERM 98 [2020] PIERM 97 [2020] PIERM 96 [2020] PIERM 95 [2020] PIERM 94 [2020] PIERM 93 [2020] PIERM 92 [2020] PIERM 91 [2020] PIERM 90 [2020] PIERM 89 [2020] PIERM 88 [2020] PIERM 87 [2019] PIERM 86 [2019] PIERM 85 [2019] PIERM 84 [2019] PIERM 83 [2019] PIERM 82 [2019] PIERM 81 [2019] PIERM 80 [2019] PIERM 79 [2019] PIERM 78 [2019] PIERM 77 [2019] PIERM 76 [2018] PIERM 75 [2018] PIERM 74 [2018] PIERM 73 [2018] PIERM 72 [2018] PIERM 71 [2018] PIERM 70 [2018] PIERM 69 [2018] PIERM 68 [2018] PIERM 67 [2018] PIERM 66 [2018] PIERM 65 [2018] PIERM 64 [2018] PIERM 63 [2018] PIERM 62 [2017] PIERM 61 [2017] PIERM 60 [2017] PIERM 59 [2017] PIERM 58 [2017] PIERM 57 [2017] PIERM 56 [2017] PIERM 55 [2017] PIERM 54 [2017] PIERM 53 [2017] PIERM 52 [2016] PIERM 51 [2016] PIERM 50 [2016] PIERM 49 [2016] PIERM 48 [2016] PIERM 47 [2016] PIERM 46 [2016] PIERM 45 [2016] PIERM 44 [2015] PIERM 43 [2015] PIERM 42 [2015] PIERM 41 [2015] PIERM 40 [2014] PIERM 39 [2014] PIERM 38 [2014] PIERM 37 [2014] PIERM 36 [2014] PIERM 35 [2014] PIERM 34 [2014] PIERM 33 [2013] PIERM 32 [2013] PIERM 31 [2013] PIERM 30 [2013] PIERM 29 [2013] PIERM 28 [2013] PIERM 27 [2012] PIERM 26 [2012] PIERM 25 [2012] PIERM 24 [2012] PIERM 23 [2012] PIERM 22 [2012] PIERM 21 [2011] PIERM 20 [2011] PIERM 19 [2011] PIERM 18 [2011] PIERM 17 [2011] PIERM 16 [2011] PIERM 14 [2010] PIERM 13 [2010] PIERM 12 [2010] PIERM 11 [2010] PIERM 10 [2009] PIERM 9 [2009] PIERM 8 [2009] PIERM 7 [2009] PIERM 6 [2009] PIERM 5 [2008] PIERM 4 [2008] PIERM 3 [2008] PIERM 2 [2008] PIERM 1 [2008]
2016-01-05
Development of Fundamental Theory of Thin Impedance Vibrators
By
Progress In Electromagnetics Research M, Vol. 45, 185-193, 2016
Abstract
In the paper, we prove two theorems relating to the theory of thin impedance vibrator radiators excited by a lumped voltage generator under rather general conditions. The first theorem proves that influence of external electrodynamic media on the vibrator current distribution is limited and can be estimated using a small natural parameter. The second theorem ascertains that there exists principal possibility to compensate influence of spatial boundaries upon current distributions on a perfectly conductive vibrator by applying to its surface complex impedance with predetermined variation along the vibrator length. Several corollaries disclose a range of the theorems application and their fundamental importance.
Citation
Yuriy M. Penkin, Victor A. Katrich, and Mikhail Nesterenko, "Development of Fundamental Theory of Thin Impedance Vibrators," Progress In Electromagnetics Research M, Vol. 45, 185-193, 2016.
doi:10.2528/PIERM15120105
References

1. King, R. W. P., The Theory of Linear Antennas, Harv. Univ. Press, Cambr., MA, 1956.
doi:10.4159/harvard.9780674182189

2. Weiner, M. M., Monopole Antennas, Marcel Dekker, New York, 2003.
doi:10.1201/9780203912676

3. Nesterenko, M. V., V. A. Katrich, Yu.M. Penkin, V. M. Dakhov, and S. L. Berdnik, Thin Impedance Vibrators, Theory and Applications, Springer Science+Business Media, New York, 2011.
doi:10.1007/978-1-4419-7850-9

4. Nesterenko, M. V., "The electomagnetic wave radiation from a thin impedance dipole in a lossy homogeneous isotropic medium," Telecommunications and Radio Engineering, Vol. 61, 840-853, 2004.
doi:10.1615/TelecomRadEng.v61.i10.40

5. Nesterenko, M. V., V. A. Katrich, V. M. Dakhov, and S. L. Berdnik, "Impedance vibrator with arbitrary point of excitation," Progress In Electromagnetics Research B, Vol. 5, 275-290, 2008.
doi:10.2528/PIERB08022805

6. Nesterenko, M. V., D. Yu. Penkin, V. A. Katrich, and V. M. Dakhov, "Equation solution for the current in radial impedance monopole on the perfectly conducting sphere," Progress In Electromagnetics Research B, Vol. 19, 95-114, 2010.
doi:10.2528/PIERB09111105

7. Nesterenko, M. V., "Analytical methods in the theory of thin impedance vibrators," Progress In Electromagnetics Research B, Vol. 21, 299-328, 2010.

8. Nesterenko, M. V., V. A. Katrich, S. L. Berdnik, Y. M. Penkin, and V. M. Dakhov, "Application of the generalized method of induced EMF for investigation of characteristics of thin impedance vibrators," Progress In Electromagnetics Research B, Vol. 26, 149-178, 2010.
doi:10.2528/PIERB10052902

9. Penkin, D. Y., V. A. Katrich, Y. . Penkin, M. V. Nesterenko, V. M. Dakhov, and S. L. Berdnik, "Electrodynamic characteristics of a radial impedance vibrator on a conduction sphere," Progress In Electromagnetics Research B, Vol. 62, 137-151, 2015.
doi:10.2528/PIERB14120102

10. Yeliseyeva, N. P., S. L. Berdnik, V. A. Katrich, and M. V. Nesterenko, "Electrodynamic characteristics of horizontal impedance vibrator located over a finite-dimensional perfectly conducting screen," Progress In Electromagnetics Research B, Vol. 63, 275-288, 2015.
doi:10.2528/PIERB15043003

11. Khizhnyak, N. A., Integral Equations of Macroscopical Electrodynamics, Naukova Dumka, Kiev, 1986 (in Russian).

12. Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, New York, 1953.