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Method of calculation of the transmission characteristics of smooth transitions between two waveguides, based on the integral ratio of Lo-rentz

Keywords:

I. N. Danilov – Postgraduate Student, Department of Physics and Technology of Optical Communication, Nizhny Novgorod State Technical University n.a. R.E. Alekseev E-mail: danilovnn@yandex.ru V. K. Maystrenko – Ph.D. (Eng.), Associate Professor, Department of Physics and Technology of Optical Communication, Nizhny Novgorod State Technical University n.a. R.E. Alekseev E-mail: vkmay63@gmail.com


The general approach to the calculation of the transmission characteristics of a smooth transition between the two waveguides having the same shape, but different cross-sectional dimensions has been demonstrated in the article. The transitions connecting waveguides of circular and rectangular cross-section have been considered. The calculation method is based on the integral ratio of Lorentz. The method is essentially a method of integral equations derived on the basis of an integrated record of Lorentz\'s lemma. The aim of the work is the method testing for solving the diffraction problems of electromagnetic waves by irregular areas of waveguide structures. The algorithm for calculating the transmission characteristics of a smooth transition, connecting waveguides has been developed. The results of the calculation of the transmission characteristics of the matching portion tract have been given. Their convergence has been investigated. The correctness of the task solution verified by performance of the law of conservation of energy. The dependences of the relative error of the law of conservation of energy performance in the frequency range for transitions of various profiles of the longitudinal section have been showed. In order to check the feasibility of the algorithm, we calculated the transmission characteristics of smooth transitions with different profile of longitudinal section connecting waveguides of circular and rectangular cross-sections of different sizes. A comparison of the results obtained by the proposed method with the results obtained by using the license application package CAD microwave CST Studio Suite has been carried out. The proposed method provides high performance and a visual representation of the internal physical processes. The presented results of calculations showed that among the four considered profile functions (linear, cosine, hyperbolic and expo-nential), the best transmission characteristics in the same frequency bands for the same length of transition are provided by a transition with a cosine function of the profile. This indicates the possibility of using the proposed method in optimization problems and parametric synthesis. It should be noted that the presented algorithm for calculating the transmission characteristics of a smooth transition, connecting the different cross-sectional rail structures, is universal and applicable for solving problems of the diffraction of elec-tromagnetic waves by irregular patches of different waveguide structures. This algorithm even with low approximation can be used to calculate the transfer characteristics of different configurations of the longitudinal section of transitions between two waveguides.
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