Development of a mathematical model of microwave filter based on the partially filled cross-shaped waveguide-dielectric resonators

Authors

DOI:

https://doi.org/10.15587/1729-4061.2016.70340

Keywords:

microwave filter, waveguide dielectric resonators, cross-shaped waveguide, generalized scattering matrix

Abstract

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 classes

Author Biographies

Dovlet Mamedov, National Technical University "Kharkiv Polytechnic Institute" 21 Bagaliya str., Kharkiv, Ukraine, 61002

Research assistant

Department “Systems of Information”

Alexander Yushchenko, National Technical University "Kharkiv Polytechnic Institute" 21 Frunze str., Kharkov, Ukraine, 61002

Candidate of Physical and Mathematical Sciences, Professor

Department “Systems of Information”

References

  1. Vishnevsky, V., Frolov, S., Shahnovich, I. (2010). Millimeter range as an industrial reality. The IEEE 802.15.3c standard and WirelessHD specification». Journal Electronica: Nauka, Technologiya, Biznes, 3, 70–78.
  2. Xiao, S.-Q., Zhou, M.-T. (2008). Millimeter wave technology in wireless PAN, LAN, and MAN. CRC Press, 436.
  3. Yushchenko, A. G. (2001). High Unloaded Qs MM Wave WDR Filters Designing. International Journal of Infrared and Millimeter Waves, 22 (12), 1831–1836.
  4. Thabet, R., Riabi, M. L. (2009). Design of Metallic Cylindrical Waveguide Bandpass Filters Using Genetic Algorithm Optimization. Progress in Electromagnetics Research Symposium Abstracts, 785–786.
  5. Yahia, M., Tao, J. W., Benzina, H., Abdelkrim, M. N. (2010). Ridged Waveguide Filter Optimization Using the Neural Networks and a Modified Simplex Method. International Journal of Innovation, Management and Technology, 1 (3), 259–263.
  6. Yushchenko, A. G., Mamedov, D. S., Zaytsev, D. M. (2012). Intellectual CAD for Three-Tier Wide Band WDR Filters. Wireless Engineering and Technology, 3 (1), 30–35. doi: 10.4236/wet.2012.31005
  7. Ilchenko, M. E., Yushchenko, A. G., Shibalkin, S. F., Popov, V. V. (1994). Waveguide-Dielectric Filters Based on cross Shaped Waveguides. International Conference on Mil-limeter and Submillimeter Waves and Applications, 2250, 571–572.
  8. Arndt, F., Bornemann, J., Grauerholz, D., Vahldieck, R. (1982). Theory and Design of Low-Insertion Loss Fin-Line Filters. IEEE Transactions on Microwave Theory and Techniques, 30 (2), 155–163. doi: 10.1109/tmtt.1982.1131041
  9. Sieverding, T., Papziner, U., Arndt, F. (1997). Mode-matching CAD of rectangular or circular multiaperture narrow-wall couplers. IEEE Transactions on Microwave Theory and Techniques, 45 (7), 1034–1040. doi: 10.1109/22.598438
  10. Kirilenko, A., Kulik, D., Parkhomenko, Yu., Rud, L., Tkachenko, V. (2000). Decomposition Approach to Multilayer Circuits Electromagnetic Modeling. Proc. of MMET. 2000 Conf., 21–26.
  11. Steshenko, S. A., Prikolotin, S. A., Kirilenko, A. A., Kulik, D. Ju., Rud', L. A., Senkevich, S. L. (2013). Metod chastichnyh oblastej s uchetom osobennostej vo vnutrennih zadachah s proizvol'nymi kusochno-koordinatnymi granicami. Chast' 2. Plosko-poperechnye soedinenija i "in-line" ob’ekty. Radiofizika i elektronika, 4 (18(3)), 13–21.
  12. Yushchenko, A. G., Mamedov, D. B. (2014). Evolutionary design of seven-tier LM-mode filters optimized with original knowledge-based CAD system. Visnyk NTU «HPY» Tehnika ta elektrofizyka vysokyh naprug, 21, 159–171.

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Published

2016-06-15

How to Cite

Mamedov, D., & Yushchenko, A. (2016). Development of a mathematical model of microwave filter based on the partially filled cross-shaped waveguide-dielectric resonators. Eastern-European Journal of Enterprise Technologies, 3(5(81), 11–17. https://doi.org/10.15587/1729-4061.2016.70340