Eigen Waves of Cross-Waveguide

Автори

The purpose of the article is to obtain the algorithms for calculating the characteristics of its own waves in the cross waveguide cross and demonstrate their abilities. We solve the boundary value problem by the mode matching method. By employing the moment method functional equations arising from the boundary conditions are reduced to systems of homogeneous linear equations (SLE), whose order is equal to where M and N are number of terms in schedules of the fields in subfields specified below. Using the specific form of SLE, SLE is reduced to lower order, namely – Critical wavelengths of main types of H and E waves in the cross waveguide are calculated. In addition, we use relatively minor determinant of order – dispersion equation – 4–8. This physical interpretation of the critical wave number changes with the change of boxes size by changing the wave polarization. The obtained results show high convergence of critical wave number with increasing order of the determinant and the number of terms in the sums of its elements. The results can be used in design and synthesis of microwave devices based on cross-waveguide.

Publication year: 
2013
Issue: 
2
УДК: 
621.372.8
С. 17–26. Іл. 6. Бібліогр.: 14 назв.
References: 

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References [transliteration]: 

1. S. Amari and Maget Bekheit, “New Class of Dual-mode Dual-band Waveguide Filters”, IEEE Trans. Microw. Theory Tech., vol. 56, no. 8, pp. 1938–1944, 2008.
2. X.P. Liang et al., “Dual-Mode Coupling by Square Corner Cut in Resonators and Filters”, Ibid, vol. 40, no 12, pp. 2294 – 2302, 1992.
3. R.R. Mansour et al., “Quasi dual-mode resonators”, Ibid, vol. 48, no. 12, pp. 2476–2482, 2000.
4. А.А. Kirilenko et al., “Compact 90 Twist Formed by a Double Corner-Cut Square Waveguide Section”, Ibid, vol. 56, no. 7, pp. 1633–1637, 2008.
5. Litvinov V.R., Rud' L.A., Sverdlenko E.A. Kompaktnye 90 gradusnye skrutki v pri͡amougol'nykh volnovodakh // Izvestii͡a vuzov. Ser. Radioėlektronika. – 2010. – 53, # 3. – S. 50–57.
6. L.A. Rud and K.S. Shpachenko, “Polarizer Based on Waveguide with Complex Cross-Section”, in Proc. Int. Kharkiv Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves, Kharkiv, 2010, CD-ROM, E-7.
7. L.A. Rud and K.S. Shpachenko, “Eigen Modes of a Square Waveguide With Two Inner Diagonally-Placed Square Ridges”, in Proc. MMET, Ukraine, Kyiv, Sep. 2010, pp. 1–4.
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