Investigation of electromagnetic field in a layer with time-varying medium by Volterra integral equation method

Journal of Lightwave Technology

Volumn 21, Issue 1, 2003, Pages 305-314

  Fedotov, Fedor V ^a   Nerukh, Alexander G ^a   Benson, Trevor M ^a   Sewell, Phillip ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Electromagnetic transients; Initial and boundary problems; Nonlinearity; Time varying medium

Indexed keywords

COMPUTER SIMULATION; ELECTROMAGNETIC WAVE PROPAGATION; FINITE DIFFERENCE METHOD; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PERMITTIVITY; TIME DOMAIN ANALYSIS;

ELECTROMAGNETIC TRANSIENTS; TIME VARYING MEDIUM; VOLTERRA INTEGRAL EQUATION METHOD;

ELECTROMAGNETIC FIELDS;

EID: 0037261116     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2003.808652     Document Type: Article

References (21)

1. S. Kuo and A. Ren, "Experimental study of wave propagation through a rapidly created plasma," IEEE Trans. Plasma Sci., vol. 21, no. 1, pp. 53-56, 1993.
2. R. J. Hawkins and J. S. Kallman, "Lasing in tilted-waveguide semiconductor laser amplifiers," Opt. Quantum Electron., vol. 26, pp. 207-217, 1994.
3. S. C. Hagness, R. M. Joseph, and A. Taflove, "Subpicosecond electrodynamics of distributed Bragg reflector microlaser: Results from finite difference time domain simulations," Radio Sci., vol. 31, no. 4, pp. 931-941, 1996.
4. D. K. Kalluri, Electromagnetics of Complex Media (Frequency Shifting by a Transient Magnetoplasma Medium). Boca Raton, FL: CRC, 1998.
5. M. I. Bakunov and A. V. Maslov, "Frequency upshifting of electromagnetic radiation via oblique incidence on an ionization front," IEEE Trans. Plasma Sci., vol. 27, pp. 665-663, Mar. 1999.
6. J. W. D. Chi, C. L. Chao, and M. K. Rao, "Time-domain large-signal investigation on nonlinear interactions between an optical pulse and semiconductor waveguide," IEEE J. Quantum Electron., vol. 37, pp. 1329-1336, Oct. 2001.
7. Y. Jeong and B. Lee, "Characteristics of second-harmonic generation including third-order nonlinear interactions," IEEE J. Quantum Electron., vol. 37, pp. 1292-1300, Oct. 2001.
8. Y. Shifman and Y. Leviatan, "On the use of spatio-temporal multiresolution analysis in method of moments solutions of transient electromagnetic scattering," IEEE Trans. Antennas Propagat., vol. 49, pp. 1123-1129, Aug.
9. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Boston, MA: Artech House, 1995.
10. J. L. Young, D. Gaitoude, and J. S. Shang, "Toward the construction of a fourth order difference scheme for transient EM wave simulation: Staggered grid approach," IEEE Trans. Antennas Propagat., vol. 45, pp. 1573-1580, 1997.
11. G. Nerukh and N. A. Khizhnyak, Modern Problems in Nonstationary Macroscopic Electrodynamics. Kharkov, Russia: Test-Radio, 1991.
12. A. G. Nerukh, I. V. Scherbatko, and M. Marciniak, Electromagnetics of Modulated Media with Applications to Photonics. Warsaw, Poland Nat. Inst. Telecomm., 2001.
13. F. V. Fedotov, A. G. Nerukh, and I. V. Scherbatko, "Comparison of the FDTD and direct-integrating methods for electrodynamic problem in time-varying medium," in Proc. 5th Int. Conf. Applied Electromagnetics, Niš, Yugoslavia, Oct. 8-10, 2001.
14. A. G. Nerukh, I. V. Scherbatko, and D. A. Nerukh, "Using evolutionary recursion to solve an electromagnetic problem with time-varying parameters," Microw. Opt. Technol. Lett., vol. 14, no. 1, pp. 31-36, 1997.
15. K. M. Yemelyanov, F. V. Fedotov, and A. G. Nerukh, "Numerical simulations of electromagnetic transients in nonstationary plasma layers," in Proc. 2001 3rd Int. Conf. Transparent Optical Networks, Cracow, Poland, June 18-21, 2001, pp. 226-229.
16. J. C. Bolomey, C. Durix, and D. Lesselier, "Time domain integral equation approach for inhomogeneous and dispersive slab problems," IEEE Trans. Antennas Propagat., vol. AP-26, no. 5, pp. 658-667, 1978.
17. D. Sullivan and J. L. Young, "Far-field time-domain calculation from aperture radiators using the FDTD method" (in Russian), IEEE Trans. Antennas Propagat., vol. 49, pp. 464-469, Mar. 2001.
18. "Excitonic optical nonlinearities," J. Opt. Soc. Amer., vol. 2B, no. Special Issue, 1985.
19. K. Yamanouchi, "The next frontier," Science, vol. 295, pp. 1659-1660, Mar. 2002.
20. A. G. Nerukh, K. M. Yemelyanov, and F. V. Fedotov, "Computer modeling of electromagnetic wave propagation in a time-varying medium," in Proc. 3-D Int. Conf. Antenna Theory and Techniques (ICATT '99), Sevastopol, Ukraine, Sept. 8-11, pp. 429-431.
21. S. I. Averkov and V. P. Boldin, "Waves in nondispersive nonstationary inhomogeneous media," Radiophys. Quantum Electron. (English Transl.), vol. 23, no. 9, pp. 1060-1066, 1980.