Iterative numerical computation of the electromagnetic fields inside weakly nonlinear infinite dielectric cylinders of arbitrary cross sections using the distorted-wave born approximation

IEEE Transactions on Microwave Theory and Techniques

Volumn 44, Issue 3, 1996, Pages 400-412

  Caorsi, Salvatore ^b   Massa, Andrea ^c   Pastorino, Matteo ^a,c  

^a IEEE

^b UNIVERSITY OF PAVIA   (Italy)

^c UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DIELECTRIC MATERIALS; ELECTROMAGNETIC FIELD THEORY; FREQUENCIES; HARMONIC GENERATION; INTEGRAL EQUATIONS; ITERATIVE METHODS; PERMITTIVITY;

ARBITRARY CROSS SECTIONS; DISTORTED WAVE BORN APPROXIMATION; ELECTROMAGNETIC FIELD DISTRIBUTION; KERR LIKE NONLINEARITY; NONLINEAR INFINITE DIELECTRIC CYLINDERS; NONLINEAR PARAMETERS; TIME PERIODIC ILLUMINATION;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0030104030     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/22.486149     Document Type: Article

References (31)

1. I. G. Katayev, Electromagnetic Shock Waves. London: Iliffe, 1966.
2. N. Bloembergen, Nonlinear Optics. New York: Plenum, 1960.
3. G. B. Whitham, Linear and Nonlinear Waves. New York: Wiley, 1974.
4. F. L. E. Uslenghi, Ed., Nonlinear Electromagnetics. New York: Academic, 1980.
5. P. G. Harper and B. S. Whenet, Eds., Nonlinear Optics. New York: Academic, 1977.
6. J. A. Stratton, Electromagnetic Theory. New York: McGraw-Hill, 1941.
7. M. Miyagi and S. Nishida, "Guided waves in bounded nonlinear media (II). Dielectric boundaries," Sci. Rep. Res. Inst. Tohoku Univ. B (Electron. Commun.), vol. 24, pp. 53-67, 1972.
8. M. A. Hasan and P. L. E. Uslenghi, "Electromagnetic scattering from nonlinear anisotropic cylinders - Part I: Fundamental frequency," IEEE Trans. Antennas Propagat., vol. 38, no. 4, pp. 523-533, Apr. 1990.
9. J. B. Keller and M. H. Millmann, "Perturbation theory of nonlinear wave propagation," Phys. Rev., vol. 181, pp. 1730-1747, 1969.
10. D. Censor, "Scattering by weakly nonlinear objects," SIAM J. Appl. Math., vol. 43, pp. 1400-1417, 1983.
11. E. Bedrosian and S. O. Rice, "The output properties of Volterra systems (nonlinear systems with memory) driven by harmonic and Gaussian inputs," Proc. IEEE, vol. 59, pp. 1688-1707, 1971.
12. T. K. Sarkar and D. D. Weiner, "Scattering analysis of nonlinearly loaded antennas," IEEE Trans. Antennas Propagat., vol. AP-24, pp. 125-131, 1976.
13. D. C. Dalpe, G. Kent, and D. D. Weiner, "Extension of Volterra analysis to weakly nonlinear electromagnetic field problems with applications to Whistler propagation," IEEE Trans. Microwave Theory Tech., vol. MTT-30, pp. 1059-1067, 1982.
14. K. M. Leung, ''Scattering of transverse-electric electromagnetic waves with a finite nonlinear film," J. Opt. Soc. Am. B, vol. 5, pp. 571-574, 1988.
15. H. E. Ponath, U. Trutschel, U. Langbein, and F. Lederer, "Cross trapping of two counterpropagating nonlinear guided waves," J. Opt. Soc. Am. B, vol. 5. pp. 539-546, 1988.
16. S. Caorsi and M. Pastorino, "Integral equation formulation of electromagnetic scattering by nonlinear dielectric objects," Electromagnetics, vol. 11, pp. 357-375, 1991.
17. S. Caorsi, A. Massa, and M. Pastorino, "A numerical approach to full-vector electromagnetic scattering by three-dimensional nonlinear bounded dielectrics," IEEE Trans. Microwave Theory Tech., vol. 43, Feb. 1995.
18. _, "Electromagnetic scattering by bounded nonlinear objects by a statistical cooling procedure," in Proc. Sixth Biennial IEEE Conf. Electromagnetic Field Computation, Aix-les-Bains, France, July 5-7, 1994, p. 323.
19. L. D. Landau, E. M. Lifsits, and E. Pitaevski, Electrodynamics of Continuous Media. Oxford: Pergamon, 1984.
20. D. Mihalache, D. Mazilu, M. Bertolotti, and C. Sibilla, "Exact solution for nonlinear thin-film guided waves in higher-order nonlinear media," J. Opt. Soc. Am. B, vol. 5, pp. 565-570, 1988.
21. R. J. Wombell and R. D. Murch, "The reconstruction of dielectric objects from scattered field data using the distorted-wave Born approximation," J. Electromagnetic Waves and Applicat., vol. 7, pp. 687-702, 1993.
22. P. M. Morse and H. Feshback, Methods of Theoretical Physics. New York: McGraw-Hill, 1953.
23. R. S. Varga, Matrix Iterative Analysis. Englewood Cliffs, KJ: Prentice-Hall, 1962.
24. F. C. Lin and M. A. Fiddy, "Born-Rytov controversity. II. Applications to nonlinear and stochastic scattering problems in one-dimensional half-space media," J. Opt. Soc. Am. A, vol. 10, pp. 1971-1983, 1993.
25. J. H. Richmond, "Scattering by a dielectric cylinder of arbitrary cross-section shape," IEEE Trans. Antennas Propagat., vol. AP-13, pp. 334-341, 1965.
26. S. Caorsi, A. Massa, and M. Pastorino, "Bistatic scattering width evaluation for nonlinear isotropic infinite circular cylinders," Microwave and Opt. Technol. Lett., vol. 7, pp. 639-642, 1994.
27. C. T. Tai, Dyadic Green's Functions in Electromagnetic Theory. Scanton: International Textbook, 1971.
28. A. F. Peterson, "Analysis of heterogeneous EM scatterers: Research progress of the past decade," Proc. IEEE, vol. 79, pp. 1431-1453, 1991,
29. M. J. Hagmann, O. P. Gandhi, and C. H. Durney, "Upper bound on cell size for moment-method solutions," IEEE Trans. Microwave Theory Tech., vol. MTT-25, pp. 831-832, 1977.
30. H. E. Bussey and J. H. Richmond, "Scattering by a lossy dielectric circular cylindrical multilayer numerical values," IEEE Trans. Antennas Propagat., vol. AP-23, pp. 723-725, 1975.
31. J. A. Balanis, Advanced Engineering Electromagnetics. New York: Wiley, 1989.