Application of the Generalized Method of Induced Emf for Investigation of Characteristics of Thin Impedance Vibrators

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

doi:10.2528/pierb10052902

Cited by 11 publications

(12 citation statements)

References 24 publications

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“…Let us multiply, following the generalized method of induced EMF [11,13], the left-and right-hand sides of Equation (3) …”

Section: Formulation Of the Problem And Solution Of Integral Equationmentioning

confidence: 99%

“…An additional parameter, which allows forming a required amplitude-phase distribution of vibrators currents, and thus, modifying and optimizing the electromagnetic characteristics of the system as a whole, can be distributed surface impedance (both constant and variable along the vibrator length) [11][12][13][14][15][16]. The length of impedance vibrators can be both shorter or longer than that of a perfectly conducting vibrator.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Electromagnetic Waves Radiation by a Vibrators System With Variable Surface Impedance

Berdnik¹,

Katrich²,

Nesterenko³

et al. 2016

PIER M

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Abstract-The problem of electromagnetic waves radiation by a vibrators system with variable distributed surface impedance along their axes located in free space is solved by the generalized method of induced electromotive forces (EMF). The distinctive peculiarity of this method is the use of the functional distributions, obtained as a result of the analytical solution of the integral equation for the current by the asymptotic averaging method before, as the basic approximations for the currents along the impedance vibrators. The multi-parameter characteristics of three-element and multi-element antennas with variable impedance vibrators are calculated.

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“…Let us multiply, following the generalized method of induced EMF [11,13], the left-and right-hand sides of Equation (3) …”

Section: Formulation Of the Problem And Solution Of Integral Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electromagnetic Waves Radiation by a Vibrators System With Variable Surface Impedance

Berdnik¹,

Katrich²,

Nesterenko³

et al. 2016

PIER M

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“…length-average values of the vibrator internal impedance [4,23], Ω 1(2) = 2 ln(2L 1(2) /r 1(2) ). According to the generalized method of induced EMMF, we multiply Equation (11a) by the function f 1 (s 1 ), Equation (11b) by the function f 2 (s 2 ), and (11c) by the function f 3 (s 3 ).…”

Section: Multielement Vibrator-slot Structure In a Rectangular Waveguidementioning

confidence: 99%

Electromagnetic Fields Excitation by a Multielement Vibrator-Slot Structures in Coupled Electrodynamics Volumes

Penkin¹,

Berdnik²,

Katrich³

et al. 2013

PIER B

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Abstract-A problem of electromagnetic fields excitation by a system of finite-dimensional material bodies in two arbitrary electrodynamic volumes coupled by holes, cut in a common boundary of the volumes, is defined in a rigorous formulation. For the system containing two material bodies and one coupling hole, the problem is reduced to a system of two-dimensional integral equations relative to surface electric currents on the material bodies and equivalent magnetic current in the coupling hole. The resulting integral equations are correctly transformed to a system of one-dimensional equations for currents in a narrow slot and on thin impedance vibrators, which may have irregular electrophysical and geometrical parameters. The resulting equations system for a transverse slot in a broad wall of a rectangular waveguide and impedance vibrators with variable surface impedance is solved by a generalized method of induced electro-magneto-motive forces (EMMF) under assumption that interaction between the vibrators and the slot is absent. Calculated and experimental plots of electrodynamic characteristics for this vibrator-slot structure are presented.

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“…The theory of thin vibrators is now considered as classic both for perfectly conducting [1,2] and impedance vibrators [3][4][5][6][7][8][9][10]. The theory was outlined in a large number of well-known articles and monographs (see, e.g., references in [3]).…”

Section: Introductionmentioning

confidence: 99%

Development of Fundamental Theory of Thin Impedance Vibrators

Penkin¹,

Katrich²,

Nesterenko³

2016

PIER M

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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.

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Application of the Generalized Method of Induced Emf for Investigation of Characteristics of Thin Impedance Vibrators

Cited by 11 publications

References 24 publications

Electromagnetic Waves Radiation by a Vibrators System With Variable Surface Impedance

Electromagnetic Waves Radiation by a Vibrators System With Variable Surface Impedance

Electromagnetic Fields Excitation by a Multielement Vibrator-Slot Structures in Coupled Electrodynamics Volumes

Development of Fundamental Theory of Thin Impedance Vibrators

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