Analytical and hybrid methods in the theory of slot-hole by Mikhail V. Nesterenko, Victor A. Katrich, Yuriy M. Penkin,

By Mikhail V. Nesterenko, Victor A. Katrich, Yuriy M. Penkin, Sergey L. Berdnik (auth.)

Analytical and Hybrid tools within the idea of Slot-hole Coupling of Electrodynamic Volumes arose from the unique study effects, by no means ahead of released, first got by way of the authors at Karazin Kharkov nationwide collage, Ukraine.

Impetuous improvement of technical possibilities of workstation for the final 20 years, and a strong set of numerical tools to be had within the arsenals of investigators have pressured the working-outs hooked up with the quest of analytical options of radiophysical difficulties backward. in spite of the fact that, at this time, in fact obvious that optimum use of desktop calculations might be according to program of analytical equipment of boundary difficulties answer. those equipment let to extend workstation use potency and in addition extend their calculation skills to resolve complicated electrodynamic problems.

The authors’ adventure within the improvement of analytical how to clear up the issues of diffraction of waveguide electromagnetic waves on slot coupling holes serves as a great tool to readers attracted to either the sphere of theoretical electrodynamics and the sector of useful workings-out of multi-functional waveguide units and structures utilizing slot-coupling elements.

Topics coated during this booklet are:

  • problem formula and preliminary crucial equations
  • the averaging method
  • analytical answer of the necessary equations for a current
  • induced magnetomotive forces approach for research of coupling slots in waveguides
  • resonant iris with the slot arbitrary orientated in an oblong waveguide
  • stepped junction of the 2 oblong waveguides with the impedance slotted iris

This e-book is meant for tutorial and business researchers curious about Microwave options, in addition to complex scholars learning Radiophysics and utilized Electrodynamics.

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Extra resources for Analytical and hybrid methods in the theory of slot-hole coupling of electrodynamic volumes

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In these cases it is necessary to solve the system of linear algebraic equations (SLAE) of the N-order, where N is a number of linearly independent basis functions. 4]. For a slots system, the order of SLAE increases proportionally to the number of slots. 10]. When only one approximating function exists for every slot in a multi-slot system, the Galerkin’s method gets the name the “induced magnetomotive forces method” (IMMFM). In this case the solution is more accurate when the approximating functions describing the slot magnetic current distribution are more accurate.

2) where the f s (s) and f a (s) functions must satisfy the following boundary conditions: f s (±L) = 0, f a (±L) = 0. 2) we have only two unknown amplitudes J0s and J0a . 5) −L are the partial magnetomotive forces. 13), the f s (s) and f a (s) basis functions have the following forms: f s (s) = cos ks cos γ L − cos k L cos γ s , f a (s) = sin ks sin γ L − sin k L sin γ s . 3). It gives us the opportunity to obtain energy characteristics of the coupling slot elements. 7) where F s (k L) F a (k L) , J˜0a = − e , i + Ys (kd, k L) Ya (kd, k L) + Yai (kd, k L) sin k L cos γ L − (γ /k) cos k L sin γ L sin 2γ L + 2γ L , F s (k L) = 2 cos γ L −cos k L 2 2(γ /k) (π/ka) cos k L sin γ L − (γ /k) sin k L cos γ L sin 2γ L − 2γ L F a (k L) = 2 sin γ L .

Mass. 15. : Electromagnetic coupling to an infinite wire through a slot in a conducting plane. IEEE Trans. Antennas and Propagat. 16. : Asymptotic Methods in the Theory Nonlinear Fluctuations. 17. : Asymptotic Methods in the Theory of Differential and Integral-differential Equations. PHAN, Tashkent (1974) (in Russian) Chapter 3 Analytical Solution of the Integral Equations for the Current by the Averaging Method In this chapter the asymptotic averaging method has been used to obtain the general approximate analytical expression for the magnetic current in the slot applied both for the adjusted slots (k L = nπ/2, n = 1, 2, 3, .

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