1. 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: Sci. Works Collection, Vol. 13, No. 2, 166-172, NAS of Ukraine, A. Usikov Institute of Radiophysics and Electronics, Kharkiv, 2008. Google Scholar
2. Tantawi, S. G., R. D. Ruth, A. E. Vlieks, and M. Zolotorev, "Active high-power RF pulse compression using optically switched resonant delay lines," IEEE Trans. Microwave Theory Tech., Vol. 45, No. 8, 1486-1492, 1997.
doi:10.1109/22.618460 Google Scholar
3. Vikharev, A. L., A. M. Gorbachev, O. A. Ivanov, V. A. Isaev, S. V. Kuzikov, B. Z. Movshevich, J. Hirshfield, and S. H. Gold, "Active Bragg compressor of 3-cm wavelength microwave pulses," Radiophys. Quantum Electron., Vol. 51, No. 7, 539-555, 2008.
doi:10.1007/s11141-008-9053-3 Google Scholar
4. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, Boston, 2005.
5. Keller, J. B., "Exact non-reflecting boundary conditions," J. Comput. Phys., Vol. 82, 179-192, 1989. Google Scholar
6. Hagstrom, T., "Radiation boundary conditions for the numerical simulation of waves," Acta Numerica, Vol. 8, 47-106, 1999.
doi:10.1017/S0962492900002890 Google Scholar
7. Olivier, J. C., "On the synthesis of exact free space absorbing boundary conditions for the finite-difference time-domain method," IEEE Trans. Antennas Propag., Vol. 40, No. 4, 456-460, 1992.
doi:10.1109/8.138832 Google Scholar
8. De Moerloose, J. and D. De Zutter, "Surface integral representation radiation boundary condition for the FDTD method," IEEE Trans. Antennas Propag., Vol. 41, No. 7, 890-896, 1993.
doi:10.1109/8.237619 Google Scholar
9. Ziolkowski, R. W., N. K. Madsen, and R. C. Carpenter, "Three-dimensional computer modeling of electromagnetic fields: A global lookback lattice truncation scheme," J. Comput. Phys., Vol. 50, 360-408, 1983.
doi:10.1016/0021-9991(83)90103-1 Google Scholar
10. Hagstrom, T. and H. B. Keller, "Exact boundary conditions at an artificial boundary for partial differential equations in cylinders," SIAM J. Math. Anal., Vol. 17, No. 2, 322-341, 1986.
doi:10.1137/0517026 Google Scholar
11. Grote, M. J. and J. B. Keller, "Nonreflecting boundary conditions for Maxwell's equations," J. Comput. Phys., Vol. 139, 327-342, 1998.
doi:10.1006/jcph.1997.5881 Google Scholar
12. Lubich, C. and A. Shadle, "Fast convolution for nonreflecting boundary conditions," SIAM J. Sci. Comput., Vol. 24, No. 1, 161-182, 2002.
doi:10.1137/S1064827501388741 Google Scholar
13. Alpert, B., L. Greengard, and T. Hagstrom, "Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation," SIAM J. Numer. Anal., Vol. 37, No. 4, 1138-1164, 2000.
doi:10.1137/S0036142998336916 Google Scholar
14. Sirenko, Y. K., S. Strom, and N. P. Yashina, Modeling and Analysis of Transient Processes in Open Resonant Structures --- New Methods and Techniques, Springer, Berlin, 2007.
15. 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, No. 3, 490-506, 2005. Google Scholar
16. Hairer, E., C. H. Lubich, and M. Schlichte, "Fast numerical solution of nonlinear Volterra convolution equations," SIAM J. Sci. Stat. Comput., Vol. 6, No. 3, 532-541, 1985.
doi:10.1137/0906037 Google Scholar
17. Yilmaz, A. E., D. S. Weile, B. Shanker, J.-M. Jin, and E. Michielssen, "Fast analysis of transient scattering in lossy media," IEEE Antennas Wireless Propag. Lett., Vol. 1, No. 1, 14-17, 2002.
doi:10.1109/LAWP.2002.802577 Google Scholar
18. Bagci, H., A. E. Yilmaz, and E. Michielssen, "A fast hybrid TDIE-FDTD-MNA scheme for analyzing cable-induced transient coupling into shielding enclosures," Proc. IEEE Int. Symp. Electromagn. Compat., Vol. 3, 828-833, 2005. Google Scholar
19. Bagci, H., A. E. Yilmaz, V. Lomakin, and E. Michielssen, "Fast solution of mixed-potential time-domain integral equations for half-space environments," IEEE Trans. Geosci. Remote Sensing, Vol. 43, No. 2, 269-279, 2005.
doi:10.1109/TGRS.2004.841489 Google Scholar
20. Bagci, H., A. E. Yilmaz, and E. Michielssen, "FFT-accelerated MOT-based solution of time-domain BLT equations," Proc. IEEE Int. Antennas Propagat. Symp., 1175-1178, 2006.
doi:10.1109/APS.2006.1710748 Google Scholar
21. Bagci, H., A. E. Yilmaz, J.-M. Jin, and E. Michielssen, "Fast and rigorous analysis of EMC/EMI phenomena on electrically large and complex structures loaded with coaxial cables," IEEE Trans. Electromagn. Compat., Vol. 49, No. 2, 361-381, 2007.
doi:10.1109/TEMC.2007.897159 Google Scholar
22. Bagci, H., A. E. Yilmaz, and E. Michielssen, "An FFT-accelerated time-domain multiconductor transmission line simulator," IEEE Trans. Electromagn. Compat., Vol. 52, No. 1, 199-214, 2010.
doi:10.1109/TEMC.2009.2036602 Google Scholar
23. 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
24. 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
25. 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
26. Ladyzhenskaya, O. A., The Boundary Value Problems of Mathematical Physics, Springer-Verlag, New York, 1985.
27. Vladimirov, V. S., Equations of Mathematical Physics, Dekker, New York, 1971.
28. Korn, G. A. and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York, 1961.
29. Bateman, H. and A. Erdelyi, Higher Transcendental Functions,, Vol. 2, McGraw-Hill, New York, 1953.
30. Prudnikov, A. P., Y. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 2, Gordon and Breach, New York, 1986.
31. Von Hurwitz, A., Allgemeine Funktionentheorie und Elliptische Funktionen, Von Courant, R., Geometrische Funktionentheorie, Springer-Verlag, Berlin, 1964 (in German).
32. Abramowitz, M. and I. A. Stegun Ed., Handbook of Mathematical Functions, Dover, New York, 1972.
33. Kantartzis, N. V. and T. D. Tsiboukis, High Order FDTD schemes for Waveguide and Antenna Structures, Morgan&Claypool, San Rafael, CA, 2006.
34. Gerald, C. F. and P. O. Wheatley, Applied Numerical Analysis, Addison-Welsley, Boston, 1999.
35. Oppenheim, A. V., R. W. Schafer, and J. R. Buck, Discrete-Time Signal Processing, Prentice-Hall, Englewood Cliffs, NJ, 1999.