Development of a mathematical model of microwave filter based on the partially filled cross-shaped waveguide-dielectric resonators
DOI:
https://doi.org/10.15587/1729-4061.2016.70340Keywords:
microwave filter, waveguide dielectric resonators, cross-shaped waveguide, generalized scattering matrixAbstract
A mathematical model of microwave filter based on the WDR, partially filled by height, set in the cut-off cross-shaped waveguide was developed. The solution to the problem of the H10 wave scattering along the WDR chain was carried out by applying the GSM and partial regions methods. The obtained model makes it possible to consider an arbitrary number of waves not only in the regular, but also in the cut-off waveguide. Numerical algorithm was programmatically implemented and the convergence of calculations was studied, as a result of which we established that in order to ensure the error in the calculation less than 0.2 %, it was sufficient to consider 5–7 modes in the cut-off cross-shaped waveguide. A mathematical calculation of the one-tier filters designs and their comparison to the experimental prototypes was performed to establish the reliability of the developed model. An experimental study showed that the divergence between the calculated and measured frequencies did not exceed one percent that is the confirmation of the adequacy of the calculations, fulfilled on the basis of the developed model.
This model was implemented in the original method of intellectual synthesis and optimization of designs of multitier microwave filters, whose key idea consists in the logical analysis of the frequency response and the subsequent decision making about an evolutionary change in the design, which ensures its assigned form. The results of the study are planned to apply in designing a new model of microwave filter with resonators of different classesReferences
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