Transient external 3D excitation of a dispersive and anisotropic slab

Inverse Problems

Volumn 13, Issue 3, 1997, Pages 691-709

  Fridén, Jonas ^a   Kristensson, Gerhard ^b  

^a Department of Engineering Sciences ^*  (Sweden)

^b LUND INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001335924     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/3/010     Document Type: Article

References (51)

1. Åberg I, Kristensson G and Wall D J N 1995 Propagation of transient electromagnetic waves in time-varying media - direct and inverse scattering problems Inverse Problems 11 29-49
2. Ammicht E, Corones J P and Krueger R J 1987 Direct and inverse scattering for viscoelastic media J. Acoust. Soc. Am. 81 827-34
3. Barkovskii L M, Borzdov G N and Lavrinenko A V 1987 Fresnel's reflection and transmission operators for stratified gyroanisotropic media J. Phys. A: Math. Gen. 20 1095-106
4. Beezley R S and Krueger R J 1985 An electromagnetic inverse problem for dispersive media J. Math. Phys. 26 317-25
5. Bjorken J D and Drell S D 1965 Relativistic Quantum Fields (New York: McGraw-Hill)
6. Bohren C F and Huffman D R 1983 Absorption and Scattering of Light by Small Particles (New York: Wiley)
7. Brillouin L 1960 Wave Propagation and Group Velocity (New York: Academic)
8. Corones J P, Davison M E and Krueger R J 1983 Direct and inverse scattering in the time domain via invariant imbedding equations J. Acoust. Soc. Am. 74 1535-41
9. Corones J P, Davison M E and Krueger R J 1983 The effects of dissipation in one-dimensional inverse problems Inverse Optics (Proc. SPIE 413) ed A J Devaney (Bellingham, WA: SPIE) pp 107-14
10. Corones J P, Kristensson G, Nelson P and Seth D L (ed) 1992 Invariant Imbedding and Inverse Problems (Philadelphia, PA: SIAM)
11. Corones J P and Sun Z 1992 Transient reflection and transmission problems for fluid-saturated porous media Invariant Imbedding and Inverse Problems ed J P Corones, G Kristensson, P Nelson and D L Seth (Philadelphia, PA: SIAM)
12. Corones J P and Sun Z 1993 Simultaneous reconstruction of material and transient source parameters using the invariant imbedding method J. Math. Phys. 34 1824-45
13. Fridén J 1994 Inverse scattering for anisotropic mirror image symmetric media Inverse Problems 10 1133-44
14. Fridén J 1995 Relations between scattering data and material parameters in complex media Technical Report LUTEDX/(TEAT-7038)/1-12/(1995), Lund Institute of Technology, Department of Electromagnetic Theory
15. Fridén J 1996 Inverse scattering for the homogeneous dispersive anisotropic slab using transient electromagnetic fields Wave Motion 23 289-306
16. Fridén J, Kristensson G and Stewart R D 1993 Transient electromagnetic wave propagation in anisotropic dispersive media J. Opt. Soc. Am. A 10 2618-27
17. Gradshteyn I S and Ryzhik I M 1965 Table of Integrals, Series, and Products 4th edn (New York: Academic)
18. He S 1993 A 'compact Green function' approach to the time domain direct and inverse problems for a stratified dissipative slab J. Math. Phys. 34 4628-45
19. He S 1993 Frequency and time domain Green functions technique for nonuniform LCRG transmission lines with frequency-dependent parameters J. Electromagn. Waves Applic. 7 31-48
20. He S and Karlsson A 1993 Time domain Green function technique for a point source over a dissipative stratified half-space Radio Sci. 28 513-26
21. He S and Ström S 1992 The electromagnetic scattering problem in the time domain for a dissipative slab and a point source using invariant imbedding: Reconstrucion of the permittivity and conductivity J. Comput. Appl. Math. 42 137-55
22. Hille E 1972 Methods in Classical and Functonal Analysis (Reading, MA: Addison-Wesley)
23. Jackson J D 1975 Classical Electrodynamics 2nd edn (New York: Wiley)
24. Karlsson A 1987 Inverse scattering for viscoelastic media using transmission data Inverse Problems 3 691-709
25. Karlsson A 1995 Wave propagators for transient waves in one-dimensional media Technical Report LUTEDX/(TEAT-7041)/1-26/(1995), Lund Institute of Technology, Department of Electromagnetic Theory
26. Karlsson A and Kristensson G 1992 Constitutive relations, dissipation and reciprocity for the Maxwell equations in the time domain J. Electromagn. Waves Appl. 6 537-51
27. Karlsson A and Stewart R 1995 Wave propagators for transient waves in periodic media J. Opt. Soc. Am. A 12 1513-21
28. Kreider K L 1989 A wave splitting approach to time dependent inverse scattering for the stratified cylinder SIAM J. Appl. Math. 49 932-43
29. Kristensson G 1991 Direct and inverse scattering problems in dispersive media - Green's functions and invariant imbedding techniques Direct and Inverse Boundary Value Problems (Methoden und Verfahren der Mathematischen Physik 37) ed R Kleinman, R Kress and E Martensen (Frankfurt am Main: Peter Lang) pp 105-19
30. Kristensson G 1995 Transient electromagnetic wave propagation in waveguides J. Electromagn. Waves Applic. 9 645-71
31. Kristensson G and Krueger R J 1986 Direct and inverse scattering in the time domain for a dissipative wave equation. Part 1: Scattering operators J. Math. Phys. 27 1667-82
32. Kristensson G and Krueger R J 1986 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 1683-93
33. Kristensson G and Krueger R J 1987 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. 28 360-70
34. Kristensson G and Krueger R J 1989 Direct and inverse scattering in the time domain for a dissipative wave equation. Part 4: Use of phase velocity mismatches to simplify inversions Inverse Problems 5 375-88
35. Kristensson G and Rikte S 1992 Scattering of transient electromagnetic waves in reciprocal bi-isotropic media J. Electromagn. Waves Applic. 6 1517-35
36. Kristensson G and Rikte S 1993 The inverse scattering problem for a homogeneous bi-isotropic slab using transient data Inverse Problems in Mathematical Physics ed L Päivärinta and E Somersalo (Berlin: Springer) pp 112-25
37. Kristensson G and Rikte S 1993 Transient wave propagation in reciprocal bi-isotropic media at oblique incidence J. Math. Phys. 34 1339-59
38. Lindell I V, Sihvola A H, Tretyakov S A and Viitanen A J 1994 Electromagnetic Waves in Chiral and Bi-isotropic Media (Boston, London: Artech House)
39. Lundstedt J and Ström S 1996 Simultaneous reconstruction of two parameters from the transient response of a nonuniform LCRG transmission line J. Electromagn. Waves Applic. 10 19-50
40. O'Dell T H 1970 The Electrodynamics of Magneto-electric Media (Amsterdam: North-Holland)
41. Otterheim H 1993 Time domain direct and inverse scattering for gyrotropic media PhD Thesis Royal Institute of Technology, Stockholm
42. Redheffer R 1962 On the relation of transmission-line theory on scattering and transfer J. Math. Phys. 41 1-41
43. Reed M and Simon B 1975 Methods of Modern Mathematical Physics, volume II: Fourier Analysis, Selfadjointness (New York: Academic)
44. Rikte S 1994 Sommerfeld's forerunner in stratified isotropic and bi-isotropic media Technical Report LUTEDX/(TEAT-7036)/1-26/(1994), Lund Institute of Technology, Department of Electromagnetic Theory
45. Rikte S 1995 Propagation of transient electromagnetic waves in stratified bi-isotropic media and related inverse scattering problems PhD Thesis Lund Institute of Technology, Department of Electromagnetic Theory
46. Stewart R D 1989 Transient electromagnetic scattering on anisotropic media PhD Thesis Iowa State University, Ames
47. Weston V H 1987 Factorization of the wave equation in higher dimensions J. Math. Phys. 28 1061-8
48. 3 J. Math. Phys. 30 2545-62
49. Weston V H 1990 Invariant imbedding for the wave equation in three dimensions and the applications to the direct and inverse problems Inverse Problems 6 1075-105
50. 3: II. The Green function approach to inverse scattering Inverse Problems 8 919-47
51. Weston V H 1993 Time-domain wave-splitting of Maxwell's equations J. Math. Phys. 34 1370-92