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Operator function method for regularization of immittance integral equations of electrodynamics

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Abstract

We suggest novel integral equations on a surface for solving electrodynamic boundary-value problems, based on integral operator functions. The equations obtained have reduced singularity of the kernels and can be applied to build algorithms for problems with noncoordinate boundaries using piecewise-constant bases. As an example, we calculate the dispersion of the basic mode of a microstrip line.

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References

  1. V. V. Nikol’sky,Radiotech. Electron.,20, No. 3, 457 (1975).

    Google Scholar 

  2. L. A. Vainstein and A. T. Fialkovsky,Radiotech. Electron.,21, No. 6, 1137 (1976).

    ADS  Google Scholar 

  3. V. V. Nikol’sky,Radiotech. Electron.,22, No. 4, 657 (1977).

    Google Scholar 

  4. V. V. Nikol’sky and T. V. Pugacheva,Radiophys. Quantum Electron.,22, No. 8, 1028 (1979).

    Google Scholar 

  5. A. S. Il’insky and Yu. V. Shestopalov,Radiotech. Electron.,26, No. 10, 2064 (1981).

    ADS  Google Scholar 

  6. M. V. Davidovich,Electronic Technology, Ser. 1, Microwave Electronics, No. 6, 28 (1984).

    Google Scholar 

  7. M. V. Davidovich,Radiotechnics, No. 5, 74 (1985).

    Google Scholar 

  8. A. M. Lerer,Radiotech. Electron.,32, No. 17, 1418 (1987).

    ADS  Google Scholar 

  9. M. V. Davidovich,Radiotechnics, No. 6, 68 (1990).

    Google Scholar 

  10. M. V. Davidovich,Radiotech. Electron.,37, No. 12, 2143 (1992).

    Google Scholar 

  11. Automated Design of Microwave Devices (V. V. Nikol’sky, ed.) [in Russian], Radio i Svyaz, Moscow (1982).

    Google Scholar 

  12. A. S. Il’insky and Yu. V. Shestopalov,Application of Spectral Theory in Problems of Wave Propagation [in Russian], Moscow University Press, Moscow (1990), 184 pp.

    Google Scholar 

  13. R. Mittra and T. Itoh,IEEE Trans. MTT.,MTT-19, No 1, 47 (1971).

    Article  Google Scholar 

  14. A. I. Gippsman and I. G. Samokhin,Radiophys. Quantum Electron.,25, No. 5, 545 (1982).

    Google Scholar 

  15. S. G. Vesnin,Radiophys. Quantum Electron.,27, No. 10, 1211 (1984).

    Google Scholar 

  16. S. G. Vesnin, in:Automated Design of Microwave Devices and Systems [in Russian], MIREA, Moscow, p.34 (1984).

    Google Scholar 

  17. V. V. Nikol’sky and S. G. Vesnin,Radiophys. Quantum Electron.,28, No. 10, 1302 (1985).

    Google Scholar 

  18. A. M. Lerer,Radiophys. Quantum Electron.,28, No. 4, 507 (1985).

    Article  Google Scholar 

  19. M. V. Davidovich,Radiotechn. and Electron.,31, No. 11, 2224 (1986).

    Google Scholar 

  20. V. A. Neganov,Radiotechn. and Electron.,34, No. 11, 2251 (1989).

    Google Scholar 

  21. V. A. Neganov,Electrodynamic Theory of Strip-Slot Structures for UHF [in Russian], Samara University Press, Samara (1991), 240 pp.

    Google Scholar 

  22. V. A. Neganov, E. I. Nefedov, and G. P. Yarovoi,Strip-Slot Structures for Ultra-High and Super-High Frequencies [in Russian], Nauka, Moscow (1996), 304 pp.

    Google Scholar 

  23. M. V. Davidovich and V. P. Meshchanov,Electrodynamics and Technology for UHF and SHF, No. 3(11), 50 (1996).

    Google Scholar 

  24. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marychev,Integrals and Series [in Russian], Nauka, Moscow (1981).

    MATH  Google Scholar 

  25. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marychev,Integrals and Series. Special Functions [in Russian], Nauka, Moscow (1983).

    MATH  Google Scholar 

  26. Handbook on Calculation and Design of Microwave Strip Devices (V. I. Vol’man, ed.), [in Russian], Radio i Svyaz, Moscow (1982).

    Google Scholar 

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Additional information

Saratov Technical University, Saratov, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 42, No. 2, pp. 109–119, February 1999.

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Davidovich, M.V. Operator function method for regularization of immittance integral equations of electrodynamics. Radiophys Quantum Electron 42, 95–103 (1999). https://doi.org/10.1007/BF02677548

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  • DOI: https://doi.org/10.1007/BF02677548

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