Electromagnetic Waves Radiation by a Vibrators System With Variable Surface Impedance

Berdnik, Sergey L.; Katrich, V. A.; Nesterenko, Mikhail; Penkin, Yuriy M.

doi:10.2528/pierm16091605

Cited by 10 publications

(8 citation statements)

References 16 publications

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“…Then, taking into account Eq. (20), we can write the expression for the resulting field in the free space as [7,10]…”

Section: Problem Of Impedance Synthesis Of a Linear Vibratory Arraymentioning

confidence: 99%

“…According to Formula (22), the maximum of the array RP is reached in direction (θ = π 2 ; φ = π 2 ) when u = 0. On the other hand, it is known [7,10] that if the phase shift between neighboring vibrators is equal to −∆u, the maximum of the array RP is shifted in the direction (θ max ; φ max ) determined from the relation sin θ max cosφ max = ∆u/kd [3,6]. In this case, we can write…”

Section: Problem Of Impedance Synthesis Of a Linear Vibratory Arraymentioning

confidence: 99%

“…In this article, a new approach to scanning of the RP of a linear vibrator arrays is presented based on impedance synthesis of radiators. This conception has been aroused from the analysis of impedance vibrator arrays [7,8], and it can be considered as an improved method for synthesis of antenna arrays with reactive loads [9,10].…”

Section: Introductionmentioning

confidence: 99%

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Formation of Radiation Fields of Linear Vibrator Arrays by Using Impedance Synthesis

Penkin¹,

Katrich²,

Nesterenko³

2017

PIER M

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A new method of impedance synthesis of antenna array radiation fields based on a single methodological conception is presented. At first, an approximate solution for the current in the thin vibrator with variable impedance was obtained using the partial averaging operation of the integraldifferential equation. The variable impedance of the vibrator was taken into account in the form of an integral coefficient averaged along the vibrator length. The approach turns out to be common for radiators with impedance coatings of different configurations and/or different distributions of lumped impedances. It is established that the shape of the vibrator radiation pattern (RP) does not depend on the form of the impedance distribution function, and it is determined only by the averaged value of the impedance distribution along the vibrator axis. The solution shows that the impedance coating of a symmetrical thin vibrator excited at the center by the voltage δ-generator affects the shape of the radiation pattern in the wave zone, and the effect is directly proportional to the small natural parameter of the problem. The synthesis problem of the radiator impedances for the spatial scanning of the RP was solved for the linear vibrator array. The analytical solution of the problem was obtained for the equidistant array of symmetric vibrators with equal excitation currents. The possibility of changing the RP shape over a wide range by varying the intrinsic complex impedances of the vibrators is demonstrated for an equidistant linear array consisting of 5 half-wave vibrators located at a distance of one eighth wavelength from each other in the free space.

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“…Then, taking into account Eq. (20), we can write the expression for the resulting field in the free space as [7,10]…”

Section: Problem Of Impedance Synthesis Of a Linear Vibratory Arraymentioning

confidence: 99%

Section: Problem Of Impedance Synthesis Of a Linear Vibratory Arraymentioning

confidence: 99%

See 1 more Smart Citation

Formation of Radiation Fields of Linear Vibrator Arrays by Using Impedance Synthesis

Penkin¹,

Katrich²,

Nesterenko³

2017

PIER M

Self Cite

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“…If the difference of geometric path for the waves propagating from neighboring vibrators and observation point C (r, θ, ϕ) is taken into account, the expression for the total secondary radiation field in the wave zone can be presented based on Eq. (4b) as follows [4,7,8]…”

Section: Solution Of the Impedance Synthesis Problemmentioning

confidence: 99%

“…Of course, the diffraction arrays with discrete-switching can be implemented by using different types of elements, including impedance vibrators. In this case, there exists a possibility to use a surface impedance of vibrator elements as additional factor to control the array RP by varying electrical lengths of the vibrators and, therefore, the amplitude-phase distribution over the array aperture [4,5]. From these positions, the authors studied the one-dimensional antenna dipole array in [6], where the application of impedance synthesis for controlling scanning angles of the array RP maximum was justified.…”

Section: Introductionmentioning

confidence: 99%

Impedance Synthesis of Plane Diffraction Vibrator Arrays

Penkin¹,

Katrich²,

Nesterenko³

et al. 2020

PIER M

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The problem of impedance synthesis of two-dimensional diffraction arrays of thin linear vibrators, whose geometric centers are located at the nodes of a flat rectangular grid with double periodicity is solved analytically. The problem is formulated as follows: the complex surface impedances of the vibrators should be determined which allows to steer the diffraction radiation maximum of the array to any predefined direction. The problem is solved under following assumptions: array is excited by a polarized plane wave, and the radiation pattern (RP) of each vibrator element in the array coincides with that of an isolated radiator. The correctness of the solution is verified by simulations using the formulas for the vibrator impedances for the 5 by 5 antenna array.

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