Transmission and reflection of normally incident, pulsed electromagnetic plane waves upon a Lorentz half-space

Journal of the Optical Society of America B: Optical Physics

Volumn 16, Issue 5, 1999, Pages 812-831

  Mokole, E L ^a   Samaddar, S N ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033450654     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.16.000812     Document Type: Article

References (38)

1. A. Sommerfeld, "Über die Fortpflanzung des Lichtes in dispergierenden Medien," Ann Phys. (Leipzig) 44, 177-202 (1914).
2. L. Brillouin, "Über die Fortpflanzung des Lichtes in dispergierenden Medien," Ann Phys. (Leipzig) 44, 203-240 (1914).
3. L. Brillouin, Wave Propagation and Group Velocity (Academic, New York, 1960).
4. K. E. Oughstun, "Propagation of optical pulses in dispersive media," Ph.D. dissertation (University of Rochester, Rochester, N.Y., 1978).
5. K. E. Oughstun and G. C. Sherman, "Propagation of electromagnetic pulses in a linear dispersive medium with absorption (the Lorentz medium)," J. Opt. Soc. Am. B 5, 817-849 (1988).
6. K. E. Oughstun and G. C. Sherman, "Uniform asymptotic description of electromagnetic pulse propagation in a linear dispersive medium with absorption (the Lorentz medium)," J. Opt. Soc. Am. A 6, 1394-1420 (1989).
7. K. E. Oughstun and G. C. Sherman, "Uniform asymptotic description of ultrashort rectangular optical pulse propagation in a linear, causally dispersive medium," Phys. Rev. A 41, 6090-6113 (1990).
8. K. E. Oughstun and G. C. Sherman, Electromagnetic Pulse Propagation in Causal Dielectrics (Springer-Verlag, Berlin, 1994).
9. K. Moten, C. H. Durney, and T. G. Stockham, Jr., "Electromagnetic pulse propagation in dispersive planar dielectrics," Bioelectromagnetics (N.Y.) 10, 35-49 (1989).
10. R. Albanese, J. Penn, and R. Medina, "Short-rise-time microwave pulse propagation through dispersive biological media," J. Opt. Soc. Am. A 6, 1441-1446 (1989).
11. D. H. Lam, "Finite difference methods for transient signal propagation in stratified dispersive media," Tech. Rep. 3892-1 (Electro-Science Laboratory, Ohio State University, Columbus, Ohio, 1975).
12. R. J. Luebbers and F. Hunsberger, "FDTD for Nth-order dispersive media," IEEE Trans. Antennas Propag. 40, 1297-1301 (1992).
13. J. G. Blaschak and J. Franzen, "Precursor propagation in dispersive media from short-rise-time pulses at oblique incidence," J. Opt. Soc. Am. A 12, 1501-1512 (1995).
14. W. Colby, "Signal propagation in dispersive media," Phys. Rev. 5, 253-265 (1915).
15. J. Marozas and K. Oughstun, "Electromagnetic pulse propagation across a planar interface separating two lossy, dispersive dielectrics," in Ultra-Wideband, Short-Pulse Electromagnetics 3, C. E. Baum, L. Carin, and A. P. Stone, eds. (Plenum, New York, 1997), pp. 217-230.
16. A radar is defined to be UWB when its fractional bandwidth exceeds 25%, according to the executive summary of the Office of the Secretary of Defense/Defense Advanced Research Projects Agency study, "Assessment of ultra-wideband (UWB) technology," IEEE Aerosp. Electron. Mag. 5, 45-49 (1990).
17. B. Noel, Ultra-Wideband Radar: Proceedings of the First Los Alamos Symposium (CRC, Boca Raton, Fla., 1991).
18. H. L. Bertoni, L. Carin, and L. B. Felsen, eds., Ultra-Wideband, Short-Pulse Electromagnetics (Plenum, New York, 1993).
19. L. Yu. Astanin, A. A. Kostylev, Yu. S. Zinoviev, and A. Ya. Pasmurov, Radar Target Characteristics: Measurements and Applications (CRC, Boca Raton, Fla., 1994).
20. J. D. Taylor, ed., Introduction to Ultra-Wideband Radar Systems (CRC, Boca Raton, Fla., 1995).
21. L. Carin and L. B. Felsen, eds., Ultra-Wideband, Short-Pulse Electromagnetics 2 (Plenum, New York, 1995).
22. H.-Y. Pao, S. L. Dvorak, and D. G. Dudley, "An accurate and efficient analysis for transient plane waves obliquely incident on a conductive half space (TM case)," IEEE Trans. Antennas Propag. 44, 925-932 (1996).
23. S. L. Dvorak, R. W. Ziolkowski, and D. G. Dudley, "Ultrawideband electromagnetic pulse propagation in a homogeneous, cold plasma," Radio Sci. 32, 239-250 (1997).
24. R. A. Albanese, J. W. Penn, and R. L. Medina, "An electromagnetic inverse problem in medical science," in Invariant Imbedding and Inverse Problems, J. P. Corones, G. Kristensson, P. Nelson, and D. L. Seth, eds. (Society for Industrial and Applied Mathematics, Philadelphia, Pa. 1992), Chap. 2, pp. 30-41.
25. R. A. Albanese, J. G. Blaschak, R. L. Medina, and J. W. Penn, "Ultrashort electromagnetic signals: biophysical questions, safety issues, and medical opportunities," Aviat., Space Environ. Med. 65 Suppl. 5, A116-A120 (1994).
26. R. A. Albanese, R. L. Medina, and J. W. Penn, "Mathematics, medicine and microwaves," Inverse Probl. 10, 995-1007 (1994).
27. Ref. 1, p. 190.
28. E. L. Mokole and S. N. Samaddar, "Pulsed reflection and transmission for a dispersive half space," Publ. NRL/FR/ 5340-98-9874 (Naval Research Laboratory, Washington, D.C., 1998).
29. See Ref. 3, pp. 56-57, and Ref. 8, p. 234.
30. F (Approaches the limit sign) 104%, which is ultrawideband according to Ref. 16.
31. L. L. Pennisi, Elements of Complex Variables (Holt, Rinehart & Winston, New York, 1963), Chap. 5, p. 185.
32. Ref. 14, p. 264.
33. See Ref. 4, Chap. 2, and Ref. 8, p. 141.
34. R. A. Handelsman and N. Bleistein, "Uniform asymptotic expansions of integrals that arise in the analysis of precursors," Arch. Ration. Mech. Anal. 35, 267-283 (1969).
35. N. Bleistein and R. Handelsman, Asymptotic Expansions of Integrals (Holt, Rinehart & Winston, New York, 1975), p. 390.
36. N. Bleistein and R. Handelsman, Asymptotic Expansions of Integrals (Dover, New York, 1986), Chap. 9.
37. Ref. 8, p. 214.
38. The support of a real-valued function on the real line is the closure of the set of all points at which the function is non-zero.