MODELING OF CURVILINEAR FILAMENT STRUCTURE IN THE WAVEGUIDE
Journal Title: Вісник Національного університету "Львівська політехніка", серія "Радіоелектроніка та телекомунікації" - Year 2013, Vol 766, Issue 2013
Abstract
Well known current filament modeling method is frequently for electrodynamic structures analysis in free space and in waveguide used. In both cases the electrodynamic analyse principles are the same. The current filament method is often for analysis of closed waveguide exciter, or analogous passive elements in waveguide used. For sufficient small area of closed filament structure and corresponding great field point distance in analysis the dipole model is valid. The form of structure contour is then not essential. Therefore the codition of structure momentum (electrical or magnetic) we use an polygonal modeling. The contour of filament closed structure may be analytically described. But often the contour form is arbitrary and can not be mathematical expressed. In last case it is possible the considered in this paper polygonal modeling to apply. For example in the paper the magnetic current is taken. Such example is useful in analysis of waveguide aperture exciting. It is known, that necessary Green functions are by form of waveguide cross section defined, and usually given by infinite series. The known modified Green functions often are particularly simplified. Therefore we are forced the numerical analysis method to apply. But necessary analytical expressions we must get by electrodynamic mehods. The coresponding formulas for lineare coordinate sections of polygonal model contour are the simplest. The sloped sections of filament current model in general radiate three vector-potential components. Correspondingly, the field analysis is more complicated. It is possible to use the analogous analytical method without modeling, if filament structure contour can be mathematically expressed. Algorithm for analytical expressions in last case coincide with algorithm for sloped lineare section of magnetic current filament given in the paper But mathematical difficulties can cause, that it is impossible analytically to realize. Then we may the polygonal modeling to apply. The algorithm for analytical expressions of radiated by magnetic current electrical field tension is also given in the paper. Use the circular filament coil with magnetic current for numerical example, the comparison of radiated by various coil polygonal model field tension, is realized in this work. It is established, that in the near zone of coil area the radiated electrical field for N=4 and N=12 is practical the same. A little difference has an order of tenth part from one per cent. We should to remind, that in the quadratic model (N=4) the sloped filament sections absent, and the calculations are simplified. In order to detect of the named above differences, the electrical field is in separate points of a current coil circle radius calculated. So it is found, that only near of quadratic model current filament the result difference icrease to one percent. Such almost on ¾ of quadratic model area the accuracy of modeling is high. In the paper is an information about simplified modeling of sloped current filament section in waveguide by his coordinate projections given. However the difference of calculated results relative to quadratic modeling increase to three percent.
Authors and Affiliations
Yosyf Zahariia
Keywords
Related Articles
- EP ID EP461004
- DOI -
- Views 134
- Downloads 0
EVALUATION OF NETWORK PARAMETERS AT THE STAGE OF OPTICAL TRANSPORT SYSTEM DESIGNING
Since the primary network is nothing more than a set of channels, behavior and standards do not go beyond the network layer protocols, which includes a description of channels and methods of switching. Emerging of new so...
VOLTERRA SERIES FOR HODGKIN-HUXLEY AND FITZHUGH-NAGUMO NEURON MODELS
The peculiarity of Volterra series use as to comparison with classical models of nonlinear dynamical systems in the form of nonlinear differential equations is that Volterra series directly evaluates output signal of the...
DEVELOPMENT OF MATHEMATICAL MODELS OF MANAGEMENT BANDWIDTH DOWNLINK LTE USING RESOURCE ALLOCATION TYPE 1
It was established that one of the main problems in the wireless network that operates using LTE, is the task of ensuring the required quality of service, which includes the need for the user equipment network bandwidth...
EFFECTIVE CAPACITY EVALUATION MODEL FOR COGNITIVE RADIO NETWORKS USING OFDM
In this paper considered the cognitive radio (CR) networks with the GSM network like primary network cooperation possibility. The cognitive radio system meant radio with a selfmanagement mechanism with different levels o...
MODEL OF ROUTING IN TELECOMMUNICATION NETWORK WITH OVERLAPPING BY NODES PATHS
In this article it was suggested a solution of topical scientific and practical problem associated with the development of flow-based model of multipath routing by overlapping by nodes paths within the Telecommunication...