350 rub
Journal Nonlinear World №5 for 2016 г.
Article in number:
Development of algorithms for modeling the transmission of surface electromagnetic waves in planar waveguide
Keywords: planar waveguide electromagnetic waves in quantizing magnetic field numerical solution algorithm magneto-optical effect transmission coefficient
Authors:
I.I. Vasilyeva - Assistant, Department of Mathematical Modeling and Computer Technologies, Yelets State University named after I.A. Bunin. E-mail: irinavsl@yandex.ru O.B. Gladkikh - Ph.D. (Phys.-Math.), Associate Professor, Department of Mathematical Modeling and Computer Technologies, Yelets State University named after I.A. Bunin. E-mail: og1972@rambler.ru
Abstract:
The work is devoted to the analysis of the dependence of the dielectric properties of highly conducting anisotropic materials from the magnitude and the direction of the magnetic field. The nonlinear model of distribution of surface electromagnetic wave in planar waveguide out of bismuth located in the quantizing magnetic field at temperature of liquid helium is considered. The dispersing equation of wave for each direction (binary, bisector and trigonal) is derived. The formula for calculation of passing of submillimeter radiation through the symmetrical strip line depending on value of magnetic field is obtained. The algorithm of the numerical solving by means of packet of computer mathematics Maple is offered and the accompanying applications for digitization of the experimental data in graphical form are developed. The obtained results allow to apply this technique to wide class of research problems and can be used for creation of the active waveguide environments on the basis of the balanced strip line, controlled by a magnetic field.
Pages: 28-36
References

 

  1. Choi K.H. Calculation of Landau levels and electronic properties of bismuth // Diss.doct.of phyl. 1978. P. 128.
  2. Jones H. Applications of the Bloch Theory to the Study of Alloys and of the Properties of Bismuth // Proc. R. Soc. Lond. A. 1934. P. 147.
  3. EHdelman V.S. Svojjstva ehlektronov v vismute // UFN. 1977. T. 123. V. 2. S. 257-287.
  4. Abrikosov A.A., Falkovskijj L.A. Teorija ehlektronnogo ehnergeticheskogo spektra metallov s reshetkojj tipa vismuta // ZHEHTF. 1962. T. 43. № 3. S. 1089-1101.
  5. Golin S. Band structure of bismuth: Pseudopotential approach // Phys. Rev. 1968. V. 166. P. 643-651.
  6. Falkovskijj L.A., Razina G.S. EHlektrony i dyrki v vismute // ZHEHTF. 1965. V. 1(7). S. 265-274.
  7. Kondakov O.V., Ivanov K.G., Sobchenko S.O. Opredelenie vremeni relaksacii v vismute modelirovaniem formy linii magnitoopticheskikh oscilljacijj // Materialy VII Mezhgosudarstvennogo seminara «Termoehlektriki i ikh primenenija». SPb. 2000. S. 2.
  8. Kondakov O.V., Vasileva I.I. Modelirovanie magnitopropuskanija planarnogo volnovoda, sdelannogo iz vismuta, v dalekojj infrakrasnojj oblasti spektra // Materialy mezhvuzov. nauch.-praktich. konf. «Sistemy upravlenija, tekhnicheskie sistemy: puti i metody issledovanija» (Elec, 2 aprelja 2011). Elec: EGU im. I.A. Bunina. Vyp. 3. 2011. S. 70-76.
  9. Maltz M., Dresselhaus M.S. Magnetoreflestion studies in bismuth // Phys. Rev. B. 1970. V. 2. № 8. P. 2877-2886.
  10. Warmer M., Doezema R.E., Strom U. Far-infrared surface-Landau-level spectroscopy in Bi // Phys. Rev. B12. 1975. P.2883.
  11. Lax B., Mavroides J.G., Zeiger H.J., Keyes R.I. Infrared magnetoreflection in bismuth // Phys. Rev. Lett. 1960. V. 5. № 6. P. 241-243.
  12. McClure J.W. The Energy Band Model for Bismuth: Resolution of a Theoretical Discrepancy // J. Low Temp. Phys. 1976. V. 25. № 5/6. P. 527-540.
  13. Sevastjanov L.A., Loveckijj K.P., Bikeev O.N., Gorobec A.P. Metody i algoritmy reshenija zadach v modeljakh opticheskikh pokrytijj. Ucheb. posobie. M.: RUDN, 2008.
  14. Vasileva I.I. Modelirovanie magnitoopticheskogo ehksperimenta v vismute na osnove rascheta koehfficienta propuskanija // Materialy Vseross. konf. s mezhdunar. uchastiem «Informacionno-telekommunikacionnye tekhnologii i matematicheskoe modelirovanie vysokotekhnologichnykh sistem» (Moskva, RUDN, 22-25 aprelja 2014 g.). M.: RUDN, 2014. S. 205-208.
  15. Vasileva I.I. Razlichnye modeli zakona dispersii nositelejj zarjada v vismute // Materialy Mezhdunar. nauch.-praktich. konf. «Sistemy upravlenija, tekhnicheskie sistemy: ustojjchivost, stabilizacija, puti i metody issledovanija», posvjashhennojj 95-letiju so dnja rozhdenija prof. A.A. SHestakova (Elec, 2-3 aprelja 2015 g.). Elec: EGU im. I.A. Bunina. 2015. S. 160-165.
  16. Masina O.N., Vasileva I.I. Osobennosti issledovanija zonnojj struktury vismuta // Mezhdunarodnyjj akademicheskijj vestnik. 2014. № 1. S. 45-51.
  17. Alekseev E.R., CHesnokova O.V. Reshenie zadach vychislitelnojj matematiki v paketakh Mathcad 12, MATLAB 7, Maple 9. M.: NT Press. 2006. 496 s.
  18. Egorov A.A., Loveckijj K.P., Sevastjanov A.L., Sevastjanov L.A. Integralnaja optika: teorija i kompjuternoe modelirovanie. M.: RUDN. 2015. 330 s.