Thin Impedance Vibrators

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

doi:10.1007/978-1-4419-7850-9

Cited by 54 publications

(65 citation statements)

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“…For example, if induced currents on well-conducting bodies (σ → ∞) are concentrated near the body surface the skin layer thickness can be neglected and the well-known Leontovich-Shchukin approximate impedance boundary condition becomes applicable [4] n,…”

Section: Problem Formulation and Initial Integral Equationsmentioning

confidence: 99%

“…The approach used in [12] for the analysis of vibratorslot system can be generalized for multielement systems. In addition, the boundary condition (2) can be extended to cylindrical vibrators with arbitrary distribution of the complex impedance, regardless of the exciting field structure and the electrical characteristics of the vibrator material [4].…”

Section: Integral Equations For Electric and Magnetic Currents In Thimentioning

confidence: 99%

“…and 2L 1,2 ; the thickness of the waveguide wall is h, the slot width and length are d and 2L 3 . The equations system (10) for this configuration may be reduced to (s 3 , s 3 ) are the tensor Green's functions components for a rectangular waveguide and half-space above the plane [3,4], s 1 = −L 1 and s 2 = −L 2 are coordinates of the vibrator mirror images, relative to the lower broad wall of the waveguide [4].…”

Section: Multielement Vibrator-slot Structure In a Rectangular Waveguidementioning

confidence: 99%

“…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%

“…Linear vibrator-slot radiators are widely used now as stand-alone transceiver structures, elements of antenna systems, and devices in antenna feed lines [1][2][3][4]. The widespread use of combined vibrator-slot structures is a prerequisite for theoretical analysis of such systems.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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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Section: Problem Formulation and Initial Integral Equationsmentioning

confidence: 99%

Section: Integral Equations For Electric and Magnetic Currents In Thimentioning

confidence: 99%