Article 1113

Title of the article

RESTORATION OF DIELECTRIC PERMITTIVITY OF A HETEROGENEOUS BODY PLACED INTO
A RECTANGULAR WAVEGUIDE ACCORDING TO TRANSMISSION AND REFLECTION COEFFICIENTS 

Authors

Medvedik Mikhail Yur'evich, Candidate of physical and mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University (Penza, 40 Krasnaya str.), medv@mail.ru
Smirnov Yuriy Gennad'evich, Doctor of physical and mathematical sciences, professor, head of sub-department of mathematics and supercomputer modeling, Penza State University (Penza, 40 Krasnaya str.), mmm@pnzgu.ru 

Index UDK

519.634

Abstract

The aticle consideres two iteration methods for permittivity determination and presents the results demonstrating convergence of the methods. The authors adduce the graphs of dependences of the permittivity value on the number of iterations for bodies with complex shape. 

Key words

electromagnetic diffraction problem, effective permittivity, iteration method. 

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References

1. Chen, H. Experimental retrieval of the effective parameters of metamaterials based on a waveguide method / H. Chen, J. Zhang, Y. Bai et al. // Optic Express. – 2006. – V. 14, № 26. – P. 12944–12949
2. Chen, X. Robust method to retrieve the constitutive effective parameters of metamaterials / X. Chen, T.M.Grzegorczyk, B.-I. Wu et al. // Physical Review E. – 2004. – V. 70, № 1. – P. 016608-1–016608-7
3. Meng, F.-Y. Controllable Metamaterial-Loaded Waveguides Supporting Backward and Forward Waves / F.-Y. Meng, Q. Wu, D. Erni, L.-W. Li // IEEE Transaction on Antennas and Propagation. – 2011. – V. 59, № 9. – P.3400–3411
4. Usanov, D. A. Kompleksnaya dielektricheskaya pronitsayemost' kompozitov na osnove dielektricheskikh matrits i vkhodyashchikh v ikh sostav uglerodnykh nanotrubok / D. A. Usanov, A. V. Skripal', A. V. Romanov // Zhurnal tekhnicheskoy fiziki. – 2011. – T. 81, № 1. – S. 106–110.
5. Usanov, D. A. Izmereniya tolshchiny nanometrovykh sloyev metalla i elektroprovodnosti poluprovodnika v strukturakh metall–provodnik po spektram otrazheniya i prokhozhdeniya elektromagnitnogo izlucheniya / D.A.Usanov, A.V. Skripal', A.V. Abramov , A.S. Bogolyubov // Zhurnal tekhnicheskoy fiziki. – 2006. – T.76, №5.  – S. 112–117.
6. Medvedik, M. YU. Subiyerarkhicheskiy metod resheniya zadachi difraktsii elek-tromagnitnykh voln na dielektricheskom tele v pryamougol'nom volnovode / M. YU. Medvedik, YU. G. Smirnov // Radiotekhnika i elektronika. – 2011. – T. 56, № 8. – S. 940–945.
7. Smirnov, YU. G. Primeneniye GRID-tekhnologiy dlya resheniya nelineynogo ob"yemnogo singulyarnogo integral'nogo uravneniya dlya opredeleniya effektivnoy dielektricheskoy pronitsayemosti nanomaterialov / YU. G. Smirnov // Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Fiziko-matematicheskiye nauki. –
2008. – № 3. – S. 39–54.
8. Medvedik, M. YU. Primeneniye subiyerarkhicheskogo metoda v zadachakh elektrodinamiki / M. YU. Medvedik // Vychislitel'nyye metody i programmirovaniye. – 2012. – T. 13. – S. 87–97.
9. Medvedik, M. YU. Iteratsionnyy metod opredeleniya dielektricheskoy pronitsayemosti obraztsa neodnorodnogo materiala, raspolozhennogo v pryamougol'nom volnovode / M. YU. Medvedik, YU. G. Smirnov // Zhurnal vychislitel'noy matematiki i matematicheskoy fiziki. – 2012. – T. 52, № 12. – C. 2228–2237.
10. Smirnov, YU. G. Iteratsionnyy metod opredeleniya effektivnoy dielektri-cheskoy pronitsayemosti neodnorodnogo obraztsa materiala / YU. G. Smirnov, M. YU. Medvedik, Ye. Ye. Grishina // Izvestiya vysshikh uchebnykh zavedeniy. Povolzh-skiy region. Fiziko-matematicheskiye nauki. – 2011. – № 3. – S. 3–13.

 

Дата создания: 20.01.2014 09:52
Дата обновления: 21.07.2014 08:16