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

We investigated the possibility of application of split ring resonator (SRR) in microwave filter design. This resonator is made of non-ferrous metals; it is one of the types of inclusions in metamaterial. Periodical structure of SRR modifies the dielectric and magnetic permeability of initial material; as a result, negative index coefficient ws obtained. These unique properties found the wide application in microwave engineering, because they allow the creation of units with increased characteristics and expanded functional possibilities. SRR is etched out of microstrip board's horizontal surface. This board is considered as a filter with SRR inclusion. Two power-up schemes are considered: serial and parallel. The equivalent filter scheme and basic relations are given for calculation of S-parameters (reflectance factor S₁₁(F) and transmission S₂₁(F)). When reflectance factor S₁₁(F) reaches maximal value, transmission coefficient S₂₁(F) reaches minimal value, and the filter works on resonance frequency Fp. Modeling was carried out using software package Microwave Office. There was found the dependence of resonance frequency of the filter from the value of dielectric permeability of substrate. There was defined the effect of the type of SRR metal (copper, gold, silver) on the bandpass reaction of the filter. There were made the conclusions about the growth of substrate's dielectric permeability value, decreasing the value of resonance frequency of the filter. The type of SRR metal makes no significant effect on resonance properties of the filter. Investigation results allow the decrease of temporal costs on design and optimization of design parameters.

1. Veselago V. G. Electrodynamics of substances with simultaneously negative values e and m. Uspekhi fizicheskikh nauk. 1967. Vol. 92, No. 3. pp. 517–526.
2. Pendry J. B. et al. Magnetism from conductors and enhanced nonlinear phenomena. IEEE Transactions. Microwave Theory Technics. 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. 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.
7. Falcone F., Lopetegi T., Baena J. D. Effective negative- stop-band microstrip lines based on complementary split ring resonators. IEEE Microwave and Wireless Components Letters. 2004. Vol. 14, No. 6. pp. 280–282.
8. Gil Bonache I., García–García J., Marín 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.
9. Chi Hyung Ahn. Microwave metamaterial applications using complementary split ring resonators and high gain rectifying reflectarray for wireless power. Texas : A&M University, 2010. 138 p.
10. Vendik I. B., Vendik O. G. Metamaterials and their use in microwave engineering. Zhurnal tekhnicheskoy fiziki. 2013. Vol. 83, Iss. 1. pp. 3–28.
11. Statsenko L. G., Pugovkina O. A. Microwave devices design for microwave radiometry applications. Izvestiya YuFU. Tekhnicheskie nauki. 2014. No. 10 (159). pp. 127–135.
12. 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.
13. Bait-Suwailam M. M. Numerical study of bandstop filters based on slotted-complementary split-ring resonators (S-CSRRs). SDIWC. 2014. pp. 34–37.
14. 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.
15. Statsenko L. G., Mansurov Yu. N., Pugovkina O. A. Influence of geometrical dimensions of non-ferrous metal inclusions on resonance properties of microwave devices. Tsvetnye Metally. 2015. No. 12. pp. 71–76.