Open Access Open Access  Restricted Access Subscription Access

Characteristics of eigen waves of an open comb

Viktor I. Naidenko


Solution of a boundary problem for eigen waves of an open comb with combs of finite thickness is reduced to solving one of the two homogeneous systems of linear algebraic equations of the second kind. Advantages of one of them are determined. Optimal algorithm for calculating the power of eigen waves is found. To improve precision and to shorten the calculation time it is suggested to average power at the half of the comb’s thickness. Calculations of all main characteristics of eigen waves in the primary passband of the comb are given, including the generalized connection resistance having not to be mentioned in literature before. Calculation results for the group velocity are verified using two approaches: the dispersion curve and the ratio of the Pointing vector to energy density. All the calculated characteristics satisfy the known theorems.


open comb; group velocity; Pointing vector

Full Text:



V. P. Shestopalov, L. N. Litvinenko, S. А. Masalov, V. G. Sologub, Diffraction of Waves on Arrays (Kharkov: Izdat. Kharkiv University, Kharkov, 1973) [in Russian].

V. P. Shestopalov, А. А. Kirilenko, S. А. Masalov, Yu. K. Sirenko, Resonance Dispersion of Waves, Vol. 1: Diffraction Arrays (Naukova Dumka, Kyiv, 1986) [in Russian].

V. P. Shestopalov, Diffraction Electronics (Vyssh. Shkola, Izdat. Kharkiv University, Kharkov, 1976) [in Russian].

F. S. Rusin and G. D. Bogomolov, Oscillating System of Ofothron in the book Electronics of High Powers (Nauka, Moscow, 1968), Issue 5, pp. 38–44.

L. Brilluen and M. Parodi, Propagation of Waves in Periodic Structures (Moscow, 1959) [in Russian].

V. S. Mihalevskii, Elements of Theory of Ultra High Frequency Slowing Systems (Izdat. Rostov University, Rostov-on-Don, 1964) [in Russian].

Z. I. Taranenko and Ya. K. Trokhimenko, Slowing Systems (Kyiv, 1965) [in Russian].

R. А. Silin and V. P. Sazonov, Slowing Systems (Sov. Radio, Moscow, 1966) [in Russian].

R. А. Silin, Periodic Waveguides (FAZIS, Moscow, 2002) [in Russian].

L. А. Weinstein, Electromagnetic Waves (Radio i Svyaz’, Moscow, 1988) [in Russian].

L. А. Weinstein, Diffraction Theory and Factorization Method (Sov. Radio, Moscow, 1966) [in Russian].

А. S. Ilyinskii and G. Ya. Slepyan, Oscillations and Waves in Electrodynamic Systems with Losses (MGU, Moscow, 1983) [in Russian].

V. I. Naidenko and F. F. Dubrovka, Axially-Symmetrical Periodic Structure and Resonators (Vyssh. Shkola, Kyiv, 1985) [in Russian].

V. А. Solntsev and D. Yu. Nikonov, “Amplitude surfaces of dispersion of slowing systems,” Zhurnal Radioelektroniki, No. 10 (2002).

V. P. Shestopalov, А. А. Kirilenko, and S. А. Masalov, Matrix Equations of Convolution Kind in Diffraction Theory (Naukova Dumka, Kyiv, 1984) [in Russian].

V. І. Naidenko, “Calculation of the wave powers in periodic structures,” Dopovidi АN Ukrayins’koyi RSR. Seriya А. Fizyko-Matematychni i Techni Nauky, No. 6, 60 (1986).

V. I. Naidenko and Ye. V. Guseva, “Calculation of the wave power in periodic elecrodynamic structure,” Radiotekh. Elektron. 32, No. 8, 1753 (1987).

© Radioelectronics and Communications Systems, 2004–2020
When you copy an active link to the material is required
ISSN 1934-8061 (Online), ISSN 0735-2727 (Print)
tel./fax +38044 204-82-31, 204-90-41