Asymptotics and energy estimates for electromagnetic pulses in dispersive media

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 13, Issue 6, 1996, Pages 1204-1217

  Roberts, Thomas M ^a   Petropoulos, Peter G ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b SOUTHERN METHODIST UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005847734     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.13.001204     Document Type: Article

References (32)

1. J. C. Lin, and C. K. Lam, “Coupling of Gaussian electromagnetic pulse into a muscle-bone model of biological structure,” J. Microwave Power 11,67-75 (1976).
2. P. Debye, Polar Molecules (Dover, New York, 1929). See p. 90.
3. J. D. Jackson, Classical Electrodynamics 2nd ed. (Wiley, New York, 1975).
4. 2.
5. W. D. Hurt, “Multiterm Debye dispersion relations for permittivity of muscle,” IEEE Trans. Biomed. Eng. BME-32, 60–64 (1985).
6. R. J. Krueger and R. L. Ochs Jr., “A Green’s function approach to the determination of internal fields,” Wave Motion 11, 525–543 (1989).
7. R. Krueger and R. Winther, “Internal field, inhomogeneous dispersive medium” and other unpublished notes and computer programs, Ames Laboratory, Ames, Iowa 50011 (personal communication, 1989).
8. G. Kristensson, “Direct and inverse scattering problems in dispersive media—Green’s functions and invariant imbedding techniques,” in Direct and Inverse Boundary Value Problems, Vol. 37 of Methoden und Verfahren der mathematischen Physik, R. Kleinman, R. Kress, and E. Martensen, eds. (Peter Lang, Frankfurt, Germany, 1991).
9. T. M. Roberts and M. Hobart, “Energy velocity, damping, and elementary inversion,” J. Opt. Soc. Am. A 9, 1091–1101 (1992).
10. A. Karlsson, H. Otterheim, and R. Stewart, “Transient wave propagation in composite media: Green’s function approach,” J. Opt. Soc. Am. A 10, 886–895 (1993).
11. S. He, Y. Hu, and S. Strom, “Time domain Green functions technique for a point source over a dissipative stratified halfspace with a phase velocity mismatch at the surface,” Wave Motion 17, 241–254 (1993).
12. G. Kristensson and S. Rikte, “Scattering of transient electromagnetic waves in reciprocal biisotropic media,” J. Electromagn. Waves Appl. 6, 1517–1535 (1992).
13. A. Karlsson, H. Otterheim, and R. Stewart, “Electromagnetic fields in an inhomogeneous plasma from obliquely incident transient plane waves,” Radio Sci. 28, 365–378 (1993).
14. J.-Y. Chen, C. M. Furse, and O. P. Gandhi, “A simple convolution procedure for calculating currents induced in the human body for exposure to electromagnetic pulses,” IEEE Trans. Microwave Theor. Tech. 42, 1172–1175 (1994).
15. G. A. Kriegsmann and J. H. C. Luke, “Rapid pulse responses for scattering problems,” J. Comp. Phys. 111, 390–398 (1994).
16. F. John, Partial Differential Equations, 4th ed. (SpringerVerlag, New York, 1991). See pp. 152 and 160.
17. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
18. E. Zauderer, Partial Differential Equations of Applied Mathematics (Wiley, New York, 1983), pp. 218–223 and 615–618.
19. L. Brillouin, Wave Propagation and Group Velocity (Academic, San Diego, Calif., 1960). See Chaps. II and III, which are English translations of papers by A. Sommerfeld and L. Brillouin in Ann. Phys. (1914).
20. K. E. Oughstun, “Propagation of optical pulses in dispersive media,” Ph.D. disseration (University of Rochester, Rochester, N.Y., 1978).
21. S. D. Conte and Carl de Boor, Elementary Numerical Analysis, 3rd ed. (McGraw-Hill, New York, 1980), p. 26.
22. M. Reed and B. Simon, Methods of Modern Mathematical Physics II: Fourier Analysis, Self-Adjointness (Academic, New York, 1975), pp. 28, 29, and 32.
23. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), Sec. 2.19.
24. P. Linz, Analytical and Numerical Methods for Volterra Equations (Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1985).
25. R. M. Joseph, S. C. Hagness, and A. Taflove, “Direct time integration of Maxwell’s equations in linear dispersive media with absorption for scattering and propagation of femtosecond electromagnetic pulses,” Opt. Lett. 16, 1412–1414 (1991).
26. F. J. German, “The analysis of pulse propagation in linear dispersive media with absorption by the finite-difference time-domain method,” unpublished report and computer program, Department of Electrical Engineering, Auburn University, Auburn, Alabama 36849 (personal communication, 1993).
27. C. E. Baum, “EMP simulators for various types of nuclear EMP environments: an interim categorization,” IEEE Trans. Antennas Propag. AP-26, 35–53 (1978).
28. J.-Y. Chen and O. P. Gandhi, “Currents induced in an anatomically based model of a human for exposure to vertically polarized electromagnetic pulses,” IEEE Trans. Microwave Theor. Tech. 39, 31–39 (1991).
29. F. M. Tesche, “Prediction of the E and H fields produced by the Swiss mobile EMP simulator (MEMPS),” IEEE Trans. Electromagn. Compat. 4, 381–390 (1992).
30. B. Gestblom and E. Noreland, “Transmission methods in dielectric time domain spectroscopy,” J. Phys. Chem. 81, 782–788 (1977).
31. R. S. Beezley and R. J. Krueger, “An electromagnetic inverse problem for dispersive media,” J. Math. Phys. 26, 317–325 (1985), Sec. IV. Equate their function R(t) with our G(0, t). See also our Eq. (A3).
32. 2O),” in Handbook of Optical Constants of Solids II, E. D. Palik, ed. (Academic, Boston, 1991), pp. 1059–1065.