Eigen modes of an array of coupled strip lines

 S. E. Bankov

Kotelnikov Institute of Radioengineering and Electronics of Russian Acadmy of Sciences, Mokhovaya 11-7, Moscow 125009, Russia

 

The paper is received on October 27, 2017

 

Abstract. Results of theoretical investigation of eigen modes of an infinite array of coupled strip lines are presented. Eigen mode boundary problem for the array in quasi-periodical regime is formulated. The problem is reduced to a system of integral equations relatively electrical currents on strip conductors. The system of integral equations is reduced to a system of singular integral equations that is analytically solved in quasi-static approximation. A method for the system solution in the general case is proposed. This method reduces integral equations to a low order system of linear algebraic equations. Behavior of eigen mode parameters: characteristic impedance and retardation factor relatively geometrical parameters and inter – channel phase shift is numerically investigated. Special attention is paid to wave transformation when strip width is close to array period and periodical structure transforms to two plane waveguides.

Key words. Strip line, array, singular integral equation, Schwinger transform.

References

1. Butcher P.N. A theoretical study of propagation along tape ladder lines.  Proc. IEE. 1957. Pt. B. Vol. 104. No.14. p. 169.

2. Kulikov E.L., Fedorov A.N., Saninskiy A.S. About synthesis of multiwire line with TEM wave. In the book "Tekhnicheskaya elektrodinaika i elektronika" [Technical electrodynamics and electronics]. Saratov, Saratov State Technical University Publ, 1976. (In Russian)
3. Kulikov E.L., Levina N.N. Methods of calculation of  multiwire lines. Radiotekhnika i elektronika - Journal of Communication Technology and Electronics. 1971. Vol. 16. No.11. p. 2194. (In Russian)

4. Chestnut P.C. On determining the capacitances of shielded multiconductor transmission lines. IEEE Trans – MTT. 1969. Vol. 11. No.10. p. 734.

5. Sukhov V.A. Ñharacterristic impedance and attenuation of TEM waves, propagating along multiwire line from rectangular conductors. Radiotekhnika i elektronika - Journal of Communication Technology and Electronics. 1961. Vol. 6. No.5. p. 820. (In Russian)

6. Sukhov V.A., Ryzhenko B.V. Calculation of the field of traveling TEM wave, propagating along periodic multiwire line from circular conductors. Radiotekhnika i elektronika - Journal of Communication Technology and Electronics. 1962. Vol. 7. No.10. p. 1769.  (In Russian)

7. Levin L. Teoriya volnovodov [Theory of Waveguides].  Moscow, Radio i svyaz Publ., 1981. (In Russian)

8. Neganov V.A., Nefedov E.., Yarovoy G.P. Poloskovo-schelevye struktury sverkh- i kraine vysokikh chastot [Stripline-slot structures of high and ultra high frequences]. Moscow, Nauka. Fizmatlit Publ., 1996.   (In Russian)

9.  S. E. Bankov, E. A. Skorodumova. Quasi-Static Analysis of the Eigenmodes of an Array of Coupled Slot Transmission Lines. Journal of Communications Technology and Electronics. 2015. Vol. 60, No.5,  pp. 470-479.  DOI: 10.1134/S1064226915040038

10. Bankov S.E. Blindness and depolarization effects in Vivaldi antennas arrays. Proceedings of 4-th All-Russian Microwave Conference.  Moscow, Kotelnikov IRE RAS, November 2016, p. 265-269.  (In Russian).

11. Bankov S.E., Kaloshin V.A., Nguen K.Z. Theory of antennas arrays from TEM horns. Proceedings of 4-th All-Russian Microwave Conference.  Moscow, Kotelnikov IRE RAS, November 2016, p. 410-413.  (In Russian)

12. Rotman W. and Turner R.F. Wide-Angle Microwave Lens for Line Source Applications. IEEE Transactions on AP. 1963. Vol. 11. No. 11. pp. 623-632.

13. Rausch E.O., Peterson A.F. Rotman Lens Design Issues.  Antennas and Propagation Society International Symposium, IEEE, 2005, Vol. 2B, pp. 35-38.

14. Bankov S.E., Kurushin A.A. Horn irradiator of planar lenses and mirrors. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2013. No.6 Available at http://jre.cplire.ru/jre/jun13/4/text.pdf.  (In Russian)

15. Bankov S.E., Grachev G.G., Kaloshin V.A. About radiation of microstrip horn. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2017. ¹4. Available at http://jre.cplire.ru/jre/apr17/6/text.pdf.  (In Russian)

16.  Bodrov V.V., Surkov V.I. Matematicheskoe modelirovanie ustroistv SVCH i antenn. [Mathematical simulation of high-frequency devices and antennas]. Moscow, NIU MEI Publ., 1994. (In Russian)

 

For citation:

S. E. Bankov. Eigen modes of an array of coupled strip lines. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2017, No. 11. Available at http://jre.cplire.ru/jre/nov17/12/text.pdf. (In Russian)