Far Eastern Federal University, Vladivostok, Russia:

L. G. Statsenko, Professor, Head of a Chair of Electronics and Communication Facilities, e-mail: lu-sta@mail.ru
O. A. Pugovkina, Post-Graduate Student of a Chair of Electronics and Communication Facilities
Yu. N. Mansurov, Professor, Head of a Chair of Material Science and Material Technology

This paper considers the possibility to use artificial materials (metamaterials) obtained on the basis of non-ferrous metals as the inclusions for microwave technology. Artificially created periodic structure of macroscopic inclusions with arbitrary size and shape mainly determines the properties of this material. Parametric analysis of microwave filter, based on microstrip line with etched split ring resonator (SRR) on ground plane, is carried out. SRR is an inclusion element and one of the variants of metal inclusions in the metamaterial. It consists of two concentric rings with gaps on opposite sides. The basic relations for the calculation of the effective permeability and S-parameters (coefficients of reflection and transmission) of microstrip board with the inclusion of SRR are presented. They show the influence of the geometrical dimensions of the split ring resonator on the value of the resonant frequency of the filter and on its band pass response. Resonant frequency of microwave filter as a function of the width of each ring of SRR and the gap size between two rings of SRR is investigated. Microwave filter with series coupling feed lines and with parallel coupling feed lines is shown. The gap distance between feed lines of the series feed lines and the feed stub length of parallel feed lines are changed to study the effect of resonant frequency of microwave filter. It is defined that parallel coupling feed line has better bandpass response than series coupling feed line. The results are presented in graphs. The conclusions about the possibility of using split ring resonator as a structural element of microwave components in microwave devices are drawn. Results of research of the microwave filter with the inclusion of SRR allow to facilitate the control of the filter parameters and to accelerate the process of development of a ready-made product.
This scientific work was carried out on the Chair of Electronics and Communication Facilities of Far Eastern Federal University within the Federal Target Pragram (Agreement 14.578.21.0093).

1. Veselago V. G. Elektrodinamika veshchestv s odnovremenno otritsatelnymi znacheniyami e i m (Electrodynamics of substances with concurrently negative values of e and m). Uspekhi fizicheskikh nauk = Physics-Uspekhi (Advances in Physical Sciences). 1967. Vol. 92, No. 3. pp. 517–526.
2. Pendry J. B. et al. Magnetism from conductors and enhanced nonlinear phenomena. IEEE Transactions on Microwave Theory and Techniques. 1999. Vol. 47, No. 11. pp. 2075–2081.
3. Shelby R. A., Smith D. R., Schultz S. Experimental Verification of a Negative Index of Refraction. Science. 2001. Vol. 292, No. 5514. pp. 77–79.
4. Smith D. R. et al. Composite Medium with Simultaneously Negative Permeability and Permittivity. Physical Review Letters. 2000. Vol. 84, No. 18. pp. 4184–4187.
5. Shelby R. A., Smith D. R., Nemat-Nasser S. C., Schultz S. Microwave transmission through a two dimensional, isotropic, left-handed metamaterial. Applied Physics Letters. 2001. Vol. 78. pp. 489–491.
6. Statsenko L. G., Ponedelnikova O. A. Sravnenie svoystv dielektrika i metamateriala pri otrazhenii i prelomlenii voln na granitse razdela sred (Comparison of dielectric and metamaterial properties during reflection and refraction of waves on the medium boundary). Tekhnicheskie problemy osvoeniya mirovogo okeana : materialy III Vserossiyskoy nauchno-tekhnicheskoy konferentsii, Vladivostok, 22–25 sentyabrya 2009 (Technical problems of exploration of the World Ocean : materials of the III All-Russian scientifictechnical conference, Vladivostok, September 22–25, 2009). Vladivostok, 2009. pp. 341–346.
7. Mandal M. K., Mondal P., Sanyal S., Chakrabarty A. Low insertion-loss, sharp-rejection and compact microstrip low-pass filters. IEEE Microwave and Wireless Components Letters. 2006. Vol. 16, No. 11. pp. 600–602.
8. Falcone F., Lopetegi T., Baena J. D. Effective negative-e stopband microstrip lines based on complementary split ring resonators. IEEE Microwave and Wireless Components Letters. 2004. Vol. 14, No. 6. pp. 280–282.
9. Gil Bonache I., García–García J., Martín F. Novel microstrip bandpass filters based on complementary split-ring resonators. IEEE Transactions Microwave Theory and Techniques. 2006. Vol. 54, No. 1. pp. 265–271.
10. Chi Hyung Ahn. Microwave Metamaterial Applications Using Complementary Split Ring Resonators and High Gain Rectifying Reflectarray for Wireless Power: dissertation the degree of Doctor of Philosophy in Electrical Engineering. Texas : A&M University, 2010. 138 p.
11. Statsenko L. G., Ponedelnikova O. A. Effekt obratnykh voln i ego primenenie v antennoy tekhnike (Return wave effect and its application in antenna technics). Sbornik trudov XX mezhdunarodnoy nauchno-prakticheskoy konferentsii “Issledovanie, razrabotka i primenenie vysokikh tekhnologiy v promyshlennosti”. Tom 1 (Collection of proceedings of the XX international scientific-practical conference “Research, development and application of high technologies in industry”. Volume 1). Saint Petersburg, 2010. pp. 158–160.
12. Vendik I. B., Vendik O. G. Metamaterialy i ikh primenenie v tekhnike sverkhvysokikh chastot (Metamaterials and their application in the EHF technics). Zhurnal tekhnicheskoy fiziki = Journal of Applied Physics. 2013. Vol. 83, No. 1. pp. 3–28.
13. Patel Jigar M., Patel Shobhit K., Thakkar Falgun N. Defected Ground Structure Multiband Microstrip Patch Antenna using Complementary Split Ring Resonator. International Journal of Emerging Trends in Electrical and Electronics. 2013. Vol. 3, No. 2. pp. 14–19.
14. Bait-Suwailam M. M. Numerical Study of Bandstop Filters Based on Slotted-Complementary Split-RingResonators (S-CSRRs). SDIWC. 2014. pp. 34–37.
15. Katiyar Pankaj, Wan Nor Liza Wan Mahadi. Impact Analysis on Distance Variation between Patch Antenna and Metamaterial. Microwave and Optical Technology Letters. 2015. Vol. 57, No. 1. pp. 178–183.