1. Engquist, B. and A. Majda, "Absorbing boundary conditions for the numerical simulation of waves," Math. Comput., Vol. 31, 629-651, 1977.
doi:10.1090/S0025-5718-1977-0436612-4        Google Scholar

2. Mur, G., "Absorbing boundary conditions for the finite difference approximation of the time-domain electromagnetic-field equations," IEEE Transactions on Electromagnetic Compatibility, Vol. EMC-23, 377-382, 1981.
doi:10.1109/TEMC.1981.303970        Google Scholar

3. Berenger, J.-P., "Three-dimensional perfectly matched layer for absorption of electromagnetic waves," J. Comput. Phys., Vol. 127, 363-379, 1996.
doi:10.1006/jcph.1996.0181        Google Scholar

4. Mei, K. K. and J. Fang, "Superabsorbtion --- A method to improve absorbing boundary conditions," IEEE Transactions on Antennas and Propagation, Vol. 40, 1001-1010, 1992.
doi:10.1109/8.166524        Google Scholar

5. Berenger, J.-P., "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., Vol. 114, 185-200, 1994.
doi:10.1006/jcph.1994.1159        Google Scholar

6. Berenger, J.-P., "Three-dimensional perfectly matched layer for absorption of electromagnetic waves," J. Comput. Phys., Vol. 127, 363-379, 1996.
doi:10.1006/jcph.1996.0181        Google Scholar

7. Sacks, Z. S., D. M. Kingsland, R. Lee, and J. F. Lee, "A perfectly matched anisotropic absorber for use as an absorbing boundary condition," IEEE Transactions on Antennas and Propagation, Vol. 43, 1460-1463, 1995.
doi:10.1109/8.477075        Google Scholar

8. Sirenko, K. Y. and Y. K. Sirenko, "Exact `absorbing' conditions in the initial boundary-value problems of the theory of open waveguide resonators," Comput. Math. Math. Phys., Vol. 45, 490-506, 2005.        Google Scholar

9. Sirenko, Y. K., S. Strom, and N. P. Yashina, Modeling and Analysis of Transient Processes in Open Resonant Structure. New Methods and Techniques, Springer, 2007.

10. Shafalyuk, O., Y. Sirenko, and P. Smith, "Simulation and analysis of transient processes in open axially-symmetrical structures: Method of exact absorbing boundary conditions," Electromagnetic Waves, 99-116, 2011.        Google Scholar

11. Sirenko, Y. K., L. G. Velychko, and F. Erden, "Time-domain and frequency-domain methods combined in the study of open resonance structures of complex geometry," Progress In Electromagnetics Research, Vol. 44, 57-79, 2004.
doi:10.2528/PIER03030601        Google Scholar

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

13. Sirenko, K. Y., "Slot resonances in axially symmetric radiators of pulse-modulated and monochromatic TM_0n-modes," Telecomm. Radio Eng., Vol. 66, 9-21, 2007.
doi:10.1615/TelecomRadEng.v66.i1.20        Google Scholar

14. Velychko, L. G. and Y. K. Sirenko, "Controlled changes in spectra of open quasi-optical resonators," Progress In Electromagnetics Research B, Vol. 16, 85-105, 2009.
doi:10.2528/PIERB09060202        Google Scholar

15. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The Finite-difference Time-domain Method, Artech House, 2000.

16. Ladyzhenskaya, O. A., The Boundary Value Problems of Mathematical Physics, Springer-Verlag, 1985.

17. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables, US Government Printing Office, 1972.

18. Vladimirov, V. S., Equations of Mathematical Physics, Dekker, 1971.

19. Bateman, H. and A. Erdelyi, Tables of Integral Transforms, Vol. 2, McGraw-Hill, 1954.

20. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic, 1994.

21. Janke, E., F. Emde, and F. Lösch, Tables of Higher Functions, McGraw-Hill, 1960.

22. Mikhailov, V. P., Partial Differential Equations, Mir Publishers, 1978.

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

24. Kuzmitchev, I. K., P. M. Melezhyk, V. L. Pazynin, K. Y. Sirenko, Y. K. Sirenko, O. S. Shafalyuk, and L. G. Velychko, "Model synthesis of energy compressors," Radiophysics and Electronics, Vol. 13, No. 2, 166-172, 2008.        Google Scholar

25. Shafalyuk, O. and P. Smith, "Time-domain simulation of electromagnetic scattering in axially-symmetrical open resonators," Proc. of International Conference on Electromagnetics in Advanced Applications, 1302-1305, 2011.
doi:10.1109/ICEAA.2011.6046538        Google Scholar

26. Moreira, F. J. and J. R. Bergmann, "Classical axis-displaced dual-reflector antennas for omnidirectional coverage," IEEE Transactions on Antennas and Propagation, Vol. 53, 2799-2808, 2005.        Google Scholar