The use of iterative procedures for the electrodynamic analysis of metamaterials
- 1 Ph. D. (Phys.-Math.), Associate Professor, Department of Bases of Construction and Tecnologies of Radiotechnical Systems, Volga State University of Telecommunications and Informatics (Samara)
Abstract
We considered a rigorous method of electrodynamic analysis of metastructure consisting of a finite number of elements, based upon the classical iterative methods applied to a two-level system of linear algebraic equations (SLAE). The method is supplemented by algorithms for the calculation of the SLAE matrix, according to which the vector of the essential elements is aligned to the matrix. We estimated the effectiveness of the algorithms for two-dimensional metastructures with a rectangular grid that consist of axisymmetric elements or similarly oriented asymmetric elements. Formulas for calculation of SLAE elements in case of metastructure consisting of thin-wired radiators are shown. Having taken as an example a structure consisting of thin-wired open rings we showed that in the absence of conductive connections or strong connections across the field the method has a high efficiency.
How to cite
Табаков Д.П. Применение итерационных процедур к электродинамическому анализу метаматериалов // Радиотехника. 2015. № 7. С. 86–94.
References
- Engheta Nader Metamaterials: Physics and Engineering Explorations. Wiley & Sons. P. xv, 3−30, 37, 143−150, 215−234, 240−256.
- Veselago V.G. EHlektrodinamika veshhestv s odnovremenno otricatelnymi znachenijami ε i μ // Uspekhi fizicheskikh nauk. 1967. T. 92. № 3. S. 517−526.
- Vendik I.B., Vendik O.G. Metamaterialy i ikh primenenie v tekhnike sverkhvysokikh chastot (Obzor) // ZHurnal tekhnicheskojj fiziki. 2013. T. 83. № 1. S. 3−28.
- Ivchenko E.L., Poddubnyjj A.N. Rezonansnye trekhmernye fotonnye kristally // Fizika tverdogo tela. 2006. T. 48. № 3.
- Fizicheskijj ehnciklopedicheskijj slovar / Pod red. A.M. Prokhorova. M.: Bolshaja rossijjskaja ehnciklopedija. 1995.
- Neganov V.A., Osipov O.V. Otrazhajushhie, volnovedushhie i izluchajushhie struktury s kiralnymi ehlementami. M.: Radio i svjaz. 2006.
- Harrington R.F. Field Computation by Moment Method. Macmillan. New York. 1968.
- Bakhvalov N.S., ZHidkov N.P., Kobelkov G.M. CHislennye metody. M.: Laboratorija bazovykh znanijj. 2000.
- Kapitonov V.A., Neganov V.A., Marsakov I.JU., Tabakov D.P. Integralnoe predstavlenie ehlektromagnitnogo polja geometricheski kiralnojj struktury // Fizika volnovykh processov i radiotekhnicheskie sistemy. 2012. T. 15. № 4. S. 6−13.
- Vychislitelnye metody v ehlektrodinamike / Pod red. R. Mitry; per s angl. pod red. d.f.-m.n. EH.L. Burshtejjna. M.: Mir. 1977.
- Strizhkov V.A. Matematicheskoe modelirovanie ehlektrodinamicheskikh processov v slozhnykh antennykh sistemakh / Matematicheskoe modelirovanie. 1989. T. 1. № 8. S. 127−138.