Wave propagators for transient waves in one-dimensional media

Wave Motion

Volumn 24, Issue 1, 1996, Pages 85-99

  Karlsson, Anders ^a  

^a LUND INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001967511     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-2125(96)00008-X     Document Type: Article

References (50)

1. I. Åberg, G. Kristensson and D.J.N. Wall, "Propagation of transient electromagnetic waves in time-varying media-direct and inverse scattering problems". Inverse Problems 11 (1), 29-49 (1995).
2. E. Ammicht, J.P. Corones and R.J. Krueger, "Direct and inverse scattering for viscoelastic media", J. Acoust. Soc. Amer. 81, 827-834 (1987).
3. R.S. Beezley and R.J. Krueger, "An electromagnetic inverse problem for dispersive media", J. Math. Phys. 26 (2), 317-325 (1985).
4. J.P. Corones, M.E. Davison and R.J. Krueger, "Direct and inverse scattering in the time domain via invariant imbedding equations", J. Acoust. Soc. Amer. 74, 1535-1541 (1983).
5. J.P. Corones, M.E. Davison and R.J. Krueger, "Wave splittings, invariant imbedding and inverse scattering", in: A.J. Devaney, ed., Inverse Optics, 102-106 Proc. SPIE 413, SPIE Bellingham, WA (1983).
6. J.P. Corones, M.E. Davison and R.J. Krueger, "Dissipative inverse problems in the time domain" in: W-M. Boerner, ed., Inverse Methods in Electromagnetic Imaging, NATO ASI series, Series C. Vol. 143, 121-130, Reidel, Dordrecht (1985).
7. J.P. Corones and R.J. Krueger, "Obtaining scattering kernels using invariant imbedding", J. Math. Anal. Appl. 95, 393-415 (1983).
8. J.P. Corones and Z. Sun, "Simultaneous reconstruction of material and transient source parameters using the invariant imbedding method", J. Math. Phys. 34 (5), 1824-1845 (1993).
9. N. Dunford and J.T. Schwartz, Linear Operators Part I, Wiley, New York (1988).
10. J. Fridén, "Inverse scattering for anisotropic mirror image symmetric media," Inverse Problems 10 (5), 1133-1144 (1994).
11. J. Fridén, G. Kristensson and R.D. Stewart, "Transient electromagnetic wave propagation in anisotropic dispersive media",. J. Opt. Soc. Amer. A 10 (12), 2618-2627 (1993).
12. P. Fuks, A. Karlsson and G. Larson, "Direct and inverse scattering for dispersive media", Inverse Problems 10 (3), 555-571 (1994).
13. S. He, "A 'compact Green function' approach to the time domain direct and inverse problems for a stratified dissipative slab", J. Math. Phys. 34 (10), 4628-4645 (1993).
14. S. He, "Frequency and time domain Green functions technique for nonuniform LCRG transmission lines with frequency-dependent parameters", J. Electro. Waves Appl, 7(1), 31-48 (1993).
15. S. He, "Wave propagation through a dielectric-uniaxial bianisotropic interface and the computation of Brewster angles," J. Opt. Soc. Amer. A 10 (11), 2402-2409 (1993).
16. S. He, Y. Hu and S. Ström, "Time domain Green functions technique for a point source over a dissipative stratified half-space with a phase velocity mismatch at the surface", Wave Motion 17 (3), 241-254 (1993).
17. S. He and A. Karlsson, "Time domain Green function technique for a point source over a dissipative stratified half-space", Radio Science 28 (4), 513-526 (1993).
18. 3 using wave-splitting of Maxwell's equations", J. Math. Phys. (1995), in press.
19. R. Hellberg and A. Karlsson, "Design of reflectionless media for transient electromagnetic waves", Inverse Problems 11, 147-164 (1995).
20. A. Karlsson, "Inverse scattering for viscoelastic media using transmission data", Inverse Problems 3, 691-709 (1987).
21. A. Karlsson and K. Kreider, "Transient electromagnetic wave propagation in transverse periodic media", Wave Motion (1995), in press.
22. A. Karlsson, K. Kreider and G. Kristensson, "Wave splitting and imbedding equations for a spherically symmetric dispersive medium", in: J.P. Corones, G. Kristensson, P. Nelson and D.L. Seth, eds., Invariant Imbedding and Inverse Problems, SIAM, Philadelphia, PA (1992).
23. A. Karlsson and G. Kristensson, "Wave splitting in the time domain for a radially symmetric geometry", Wave Motion 12 (3), 197-211 (1990).
24. A. Karlsson, G. Kristensson and H. Otterheim, "Transient wave propagation in gyrotropic media", in: J.P. Corones, G. Kristensson, P. Nelson and D.L. Seth, eds., Invariant Imbedding and Inverse Problems, SIAM, Philadelphia, PA (1992).
25. A. Karlsson, H. Otterheim and R. Stewart, "Electromagnetic fields in an inhomogeneous plasma from obliquely incident transient plane waves", Radio Science 28 (3), 365-378 (1993).
26. A. Karlsson and R. Stewart, "Wave propagators for transient waves in periodic media", J. Opt. Soc. Amer. A 12 (9), 1513-1521 (1995).
27. G. Kristensson, "Direct and inverse scattering problems in dispersive media - Green's functions and invariant imbedding techniques", in: R. Kleinman, R. Kress and E. Martensen, eds., Direct and Inverse Boundary Value Problems, Methoden und Verfahren der Mathematischen Physik, Band 37, Mathematisches Forschungsinstitut Oberwolfach, FRG (1991) 105-119.
28. G. Kristensson, "Transient electromagnetic wave propagation in waveguides", J. Electro. Waves Appl. 9 (5/6), 645-671 (1995).
29. G. Kristensson and R.J. Krueger, "Direct and inverse scattering in the time domain for a dissipative wave equation. Part 1 : Scattering operators", J. Math. Phys. 27(6), 1667-1682 (1986).
30. G. Kristensson and R.J. Krueger, "Direct and inverse scattering in the time domain for a dissipative wave equation. Part 2: Simultaneous reconstruction of dissipation and phase velocity profiles", J. Math. Phys. 27 (6), 1683-1693 (1986).
31. G. Kristensson and R.J. Krueger, "Direct and inverse scattering in the time domain for a dissipative wave equation. Part 3: Scattering operators in the presence of a phase velocity mismatch", J. Math. Phys. 28 (2), 360-370 (1987).
32. G. Kristensson and S. Rikte, "Scattering of transient electromagnetic waves in reciprocal bi-isotropic media", J. Electro. Waves Appl. 6(11), 1517-1535 (1992).
33. 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).
34. J. Lundstedt, Condition for distortionfree transmission lines with a nonuniform characteristic impedance, IEEE Trans. Microwave Theory Tech. (1995), in press.
35. J. Lundstedt and S. He, "Signal restoration after transmission through a nonuniform LCRG line", IEEE Trans. Microwave Theory Tech. 42 (11), 2087-2092 (1994).
36. J. Lundstedt and S. He, "Time-domain direct and inverse problems for a nonuniform LCRG line with internal sources", IEEE Trans. Electromagn. Compatibility (1995), in press.
37. J. Lundstedt and S. Ström, "Simultaneous reconstruction of two parameters from the transient response of a nonuniform LCRG transmission line", J. Electro. Waves Appl. (1995), in press.
38. M. Norgren and S. He, "Electromagnetic reflection and transmission for a dielectric-Ω interface and a Ω slab", Int. J. Infrared and MM Waves, 15, 1537-1554 (1994).
39. M. Norgren and S. He, "Reconstruction of the constitutive parameters for an Ω material in a rectangular waveguide", IEEE Trans. Microwave Theory Tech. (1995), in press.
40. R. L. Ochs and C. R. Vogel, "The optimization of electromagnetic energy within a dissipative slab", Wave Motion 14, 69-84 (1991).
41. R.L. Ochs and C.R. Vogel, "The optimization of dissipation in dispersive dielectric slabs", Wave Motion 17, 349-363 (1993).
42. R. Redheffer, "On the relation of transmission-line theory on scattering and transfer", J. Math. Phys. 41, 1-41 (1962).
43. R.D. Richtmyer, Principles of Advanced Mathematical Physics, Vol. 1, Springer, New York (1978).
44. S. Rikte, "Transient inverse scattering in dispersive homogeneous bi-isotropic media", in: R. Kleinman, T. Angell, D. Colton, F, Santosa and I. Stakgold, eds., Mathematical and Numerical Aspects of Wave Propagation, SIAM, Philadelphia, PA (1993).
45. S. Rikte, "Causality theorems and Green functions for transient wave propagation problems in stratified complex media", SIAM J. Math. Anal. (1995), in press.
46. V.H. Weston, "Factorization of the dissipative wave equation and inverse scattering", J. Math. Phys. 29, 2205-2218 (1988).
47. 3 ", J. Math. Phys. 30, 2545-2562 (1989).
48. 3 : II. The Green function approach to inverse scattering", Inverse Problems, 8, 19-947 (1992).
49. V.H. Weston, "Time-domain wave-splitting of Maxwell's equations" J. Math. Phys. 34, 1370-1392 (1993).
50. 3 and its application to inverse scattering", Inverse Problems 9, 789-812 (1993).