volume | PIER Journals

Abstract

The paper is focused on reliable modeling of the effects associated with the resonant transformation of the field of a plane, density modulated electron beam, flying over the periodically uneven boundary of a natural or artificial medium, in the field of volume outgoing waves. Here, the general information (analytical basis) is presented on the peculiarities and principal characteristics of electromagnetic fields arising in the situations under consideration, on the procedures for regularization of model boundary value problems describing these situations, and on possible eigenmodes of periodic structures. Without relying on this information, it is impossible to advance considerably effectively in solving numerous urgent physical problems(establishing the conditions providing anomalously high levels of Vavilov-Cherenkov and/or Smith-Purcell radiation; diagnostics of beams of charged particles, artificial materials and media) and in practical implementation of new knowledge aboutthe effects of diffraction radiation and their wave analogues in new devices and instruments of optoelectronics, high-power electronics, antenna, and accelerator technology.

1. Cherenkov, P., "Visible radiation produced by electrons moving in a medium with velocities exceeding that of light," Physical Review, Vol. 52, 378-379, 1937.
doi:10.1103/PhysRev.52.378 Google Scholar

2. Smith, S. and E. Purcell, "Visible light from localized surface charges moving across a grating," Physical Review, Vol. 92, No. 4, 1069-1073, 1953.
doi:10.1103/PhysRev.92.1069 Google Scholar

3. Jelley, J., Cherenkov Radiation and Its Applications, Pergamon Press, 1958.

4. Bolotovskiy, B. and G. Voskresenskiy, "Radiation of charged particles in periodic structures," Uspehi Fizicheskih Nauk, Vol. 94, No. 3, 378-416, 1968 (in Russian).
doi:10.3367/UFNr.0094.196803a.0378 Google Scholar

5. Frank, I., Vavilov-Cherenkov Radiation, Nauka, 1988 (in Russian).

6. Shestopalov, V., The Smith-Purcell Effect, Nova Science Publishes, 1998.

7. Kesar, A., M. Hess, S. Korbly, and R. Temkin, "Time- and frequency-domain models for Smith-Purcell radiation from a two-dimensional charge moving above a finite length grating," Physical Review E, Vol. 71, 016501-1-016501-9, 2005. Google Scholar

8. Duan, Z., B.-I. Wu, S. Xi, H. Chen, and M. Chen, "Research progress in reversed Cherenkov radiation in double-negative metamaterials," Progress In Electromagnetics Research, Vol. 90, 75-87, 2009.
doi:10.2528/PIER08121604 Google Scholar

9. Kesar, A., "Smith-Purcell radiation from a charge moving above a grating of finite length and width," Physical Review Special Topics — Accelerators and Beams, Vol. 13, 022804-1-022804-8, 2010. Google Scholar

10. Bakunov, M., R. Mikhaylovskiy, S. Bodrov, and B. Luk’yanchuk, "Reversed Cherenkov emission of terahertz waves from an ultrashort laser pulse in a sandwich structure with nonlinear core and left-handed cladding," Optics Express, Vol. 18, No. 2, 1684-1694, 2010.
doi:10.1364/OE.18.001684 Google Scholar

11. Burlak, G., "Spectrum of Cherenkov radiation in dispersive metamaterials with negative refraction index," Progress In Electromagnetics Research, Vol. 132, 149-158, 2013. Google Scholar

12. Sautbekov, S., K. Sirenko, Y. Sirenko, and A. Yevdokimov, "Diffraction radiation phenomena: Physical analysis and applications," IEEE Antennas and Propagation Magazine, Vol. 57, No. 5, 73-93, 2015.
doi:10.1109/MAP.2015.2470673 Google Scholar

13. Granet, G., P. Melezhik, A. Poyedinchuk, S. Sautbekov, Y. Sirenko, and N. Yashina, "Resonances in reverse Vavilov-Cherenkov radiation produced by electron beam passage over periodic interface," International Journal of Antennas and Propagation, Vol. 2015, 10, 2015. Google Scholar

14. Sirenko, Y. and L. Velychko (eds.), Electromagnetic Waves in Complex Systems: Selected Theoretical and Applied Problems, Springer, 2016.

15. Sautbekov, S., K. Sirenko, Y. Sirenko, A. Poyedinchuk, N. Yashina, and A. Yevdokymov, "Smith-Purcell effect. Anomalously high level of outgoing wave excitation," Telecommunications and Radio Engineering, Vol. 77, No. 6, 469-487, 2018.
doi:10.1615/TelecomRadEng.v77.i6.10 Google Scholar

16. Melezhik, P., M. Ney, S. Sautbekov, K. Sirenko, Y. Sirenko, A. Vertiy, and N. Yashina, "Cherenkov radiation based antenna with thefunnel-shaped directional pattern," Electromagnetics, Vol. 38, No. 1, 34-44, 2018.
doi:10.1080/02726343.2017.1406693 Google Scholar

17. Sautbekov, S., K. Sirenko, Y. Sirenko, and A. Yevdokymov, "Diffraction antennas. Synthesis of radiating elements," Telecommunications and Radio Engineering, Vol. 77, No. 11, 925-943, 2018.
doi:10.1615/TelecomRadEng.v77.i11.10 Google Scholar

18. Sirenko, Y., P. Melezhik, A. Poyedinchuk, S. Sautbekov, A. Shmat’ko, K. Sirenko, A. Vertiy, and N. Yashina, "Radiation of electromagnetic waves induced by electron beam passage over artificial material periodic interfaces," An Essential Guide to Electrodynamics, N. Brewer (ed.), Chap. 5, 169–206, Nova Science Publishers, New York, 2019. Google Scholar

19. Shestopalov, V., A. Kirilenko, S. Masalov, and Y. Sirenko, Resonance Wave Scattering. Vol. 1. Diffraction Gratings, Naukova Dumka, 1986 (in Russian).

20. Shestopalov, V. and Y. Sirenko, Dynamic Theory of Gratings, Naukova Dumka, 1989 (in Russian).

21. Sirenko, Y. and S. Strom (eds.), Modern Theory of Gratings. Resonant Scattering: Analysis Techniques and Phenomena, Springer, 2010.

22. Jackson, J., Classical Electrodynamics, Wiley, 1975.

23. Melezhik, P. N., A. Y. Poyedinchuk, N. P. Yashina, G. Granet, and M. M. Ney, "Radiation from surface with periodic boundary of metamaterials excited by a current," Progress In Electromagnetic Research, Vol. 65, 1-14, 2006.
doi:10.2528/PIER06072504 Google Scholar

24. Melezhik, P., A. Poyedinchuk, N. Yashina, and G. Granet, "Periodic boundary of metamaterial: Eigen regimes and resonant radiation," Journal of Optics A: Pure and Applied Optics, Vol. 9, S403-S409, 2007.
doi:10.1088/1464-4258/9/9/S20 Google Scholar

25. Shestopalov, V., Y. Tuchkin, A., Poyedinchuk, and Y. Sirenko, New Solution Methods for Direct and Inverse Problems of the Diffraction Theory. Analytical Regularization of the Boundary Value Problems in Electromagnetic Theory, Osnova, 1997 (in Russian).

26. Manzhyrov, A. and A. Polyanin, Solution Methods for Integral Equations, Faktorial, 1999 (in Russian).

27. Shestopalov, V., A. Kirilenko, and S. Masalov, Matrix Convolution-Type Equations in the Diffraction Theory, Naukova Dumka, 1984 (in Russian).

28. Kantorovich, L. and G. Akilov, Functional Analysis in Normed Spaces, Pergamon Press, 1982.

29. Shestopalov, V. and Y. Shestopalov, Spectral Theory and Excitation of Open Structures, The Institution of Electrical Engineers, 1996.
doi:10.1049/PBEW042E

30. Perov, A. O., Y. K. Sirenko, and N. P. Yashina, "Periodic open resonators: Peculiarities of pulse scattering and spectral features," Progress In Electromagnetics Research, Vol. 46, 33-75, 2004.
doi:10.2528/PIER03042303 Google Scholar

31. Sirenko, Y., S. Strom, and N. Yashina, Modeling and Analysis of Transient Processes in Open Resonant Structures. New Methods and Techniques, Springer, 2007.

32. Sirenko, Y., "A grating in the field of a compact monochromatic source," Electromagnetics, Vol. 13, No. 3, 255-272, 1993.
doi:10.1080/02726349308908349 Google Scholar

33. Sanchez-Palencia, E., Nonhomogeneous Media and Vibration Theory, Springer-Verlag, 1980.

34. Velychko, L. G., Y. K. Sirenko, and O. S. Velychko, "Time-domain analysis of open resonators. Analytical grounds," Progress In Electromagnetics Research, Vol. 61, 1-26, 2006.
doi:10.2528/PIER06020701 Google Scholar

35. Kravchenko, V., Y. Sirenko, and K. Sirenko, Electromagnetic Wave Transformation and Radiation by the Open Resonant Structures. Modelling and Analysis of Transient and Steady-State Processes, Fizmathlit, 2011 (in Russian).

36. Von Hurwitz, A. and R. von Courant, Allgemeine Funktionentheorie und Elliptische Funktionen, Geometrische Funktionentheorie, Springer-Verlag, 1964 (in German).

37. Sirenko, Y., "Analytical extension of diffraction problems and threshold effects in electromagnetics," Doklady Akademii Nauk Ukrainskoy SSR, Seriya A, No. 8, 65-68, 1986 (in Russian). Google Scholar

38. Rud’, L., Y. Sirenko, V. Yatsik, and N. Yashina, "Spectral method to analyzethe effects of total transformation of waves by open periodic and waveguide resonators," Izvestiya Vuzov. Radiofizika, Vol. 31, No. 10, 1246-1252, 1988 (in Russian). Google Scholar

39. Sirenko, Y., N. Yashina, and K. Schuenemann, "Synthesis of mode converters in waveguides and gratings based on spectral theory," Journal of Electromagnetic Waves and Applications, Vol. 16, No. 5, 611-628, 2002.
doi:10.1163/156939302X01065 Google Scholar

40. Tretyakov, O., S. Tretyakova, and V. Shestopalov, "Electromagnetic wave radiation by electron beam mowing over diffraction grating," Radiotehnika I Elektronika, Vol. 10, No. 7, 1233-1243, 1965 (in Russian). Google Scholar

41. Shestopalov, V., Diffraction Electronics, Vysshaya Shkola, 1976 (in Russian).

Professor Yuriy Sirenko

Prof. Seil S. Sautbekov

Dr. Nataliya Yashina

Dr. Kostyantyn Sirenko