8
Views
0
CrossRef citations to date
0
Altmetric
Articles

A Simplified Time-Domain Inverse Approach to Nonplanar Stratified Media

&
Pages 495-512 | Published online: 03 Apr 2012

References

  • Corones , J. P. and Krueger , R. J. 1983 . Obtaining scattering kernels using invariant imbedding . J. Math. Anal. Appl. , 95 : 393 – 415 .
  • Corones , J. P. , Krueger , R. J. and Weston , V. H. 1984 . “ Some recent results in inverse scattering theory ” . In Inverse Problems of Acoustic and Elastic Waves , Edited by: Santosa , F. , Pao , Y. , Symes , W. W. and Holland , C. 65 – 81 . Philadelphia : SIAM .
  • Kristensson , G. and Krueger , R. J. 1986 . Direct and inverse scattering in the time do- main for a dissipative wave equation. Part I: Scattering operators . J. Math. Phys. , 27 : 1667 – 1682 .
  • Kristensson , G. and Krueger , R. J. 1986 . Direct and inverse scattering in the time do- main for a dissipative wave equation. Part II: Simultaneous reconstruction of dissi- pation and phase velocity profiles . J. Math. Phys. , 27 : 1683 – 1693 .
  • Kristensson , G. and Krueger , R. J. 1987 . Direct and inverse scattering in the time do- main for a dissipative wave equation. Part III: Scattering operators in the presence of a phase velocity mismatch . J. Math. Phys. , 28 : 360 – 370 .
  • Kristensson , G. and Krueger , R. J. 1989 . Direct and inverse scattering in the time do- main for a dissipative wave equation. Part 4: Use of phase velocity mismatches to simplify inversions . Inverse Problems , 5 : 375 – 388 .
  • Krueger , R. J. and Ochs , R. L. 1989 . A Green's function approach to the determination of internal fields . Wave Motion , 11 : 525 – 543 .
  • He , S. and Ström , S. 1992 . Time domain wave splitting approach to transmission along a nonuniform LCRG line . J. Electro. Waves Applic. , 6 : 995 – 1014 . No. 8
  • He , S. 1993 . Frequency and time domain Green function technique for nonuniform LCRG transmission lines with frequency-dependent parameters . J. Electro. Waves Applic. , 7 : 31 – 48 . No. 1
  • Weston , V. H. 1987 . Factorization of the wave equation in higher dimensions . J. Math. Phys. , 28 : 1061 – 1068 . No. 5
  • Weston , V. H. 1988 . Factorization of the wave equation in a nonplanar stratified medium . J. Math. Phys. , 29 : 36 – 45 .
  • Weston , V. H. 1989 . Wave splitting and the reflection operator for the wave equation in R3 . J. Math. Phys. , 30 : 2545 – 2562 .
  • Kreider , K. L. 1989 . Wave splitting approach to time-dependent inverse scattering for a stratified cylinder . SIAM J. Appl. Math. , 49 : 932 – 934 .
  • 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 – 1105 .
  • Karlsson , A. and Kristensson , G. 1990 . Wave splitting in the time domain for a radially symmetric geometry . Wave Motion , 12 : 197 – 211 .
  • He , S. and Ström , S. 1991 . The electromagnetic scattering problem in the time domain for a dissipative slab and a point source using invariant imbedding . J. Math. Phys. , 32 : 3529 – 3539 . No. 12
  • He , S. and Ström , S. 1992 . The electromagnetic inverse problem in the time domain for a dissipative slab and a point source using invariant imbedding: Reconstruction of the permittivity and conductivity . J. Comput. Appl. Math. , 42 in press
  • He , S. and Karlsson , A. 1991 . “ Time domain Green functions technique for a point source over a dissipative stratified half-space ” . In Technical Report TRITA-TET 91-1 , Stockholm , Sweden : Royal Institute of Technology .
  • He , S. 1992 . Factorization of a dissipative wave equation and the Green functions tech- nique for axially symmetric fields in a stratified slab . J. Math. Phys. , 33 : 953 – 966 . No. 3
  • Weston , V. H. 1991 . “ Time-domain wave splitting of Maxwell's equations ” . In Report LUTEDX/(TEAT-7016)/1-25 , Lund , Sweden : Dept. of Electromagnetic Theory, Lund Institute of Technology .
  • He , S. and Weston , V. H. 1992 . Inverse problem for the dissipative wave equation in stratified half-space and linearization of the imbedding equations . Inverse Problems , 8 : 435 – 455 . No. 3
  • He , S. , Hu , Y. and Ström , S. Oct. 1991 . “ Time domain Green functions technique for a point source over a dissipative stratified half-space with a phase velocity mismatch at the surface ” . In Technical Report TRITA-TET 91-8 , Oct. , Stockholm , Sweden : Royal Institute of Technology .
  • He , S. Jan. 1992 . “ Time-domain eigenmodes of Maxwell's equations for a stratified anisotropic half-space and reconstruction of the permittivity tensor using 3-D reflectivity ” . In Technical Report TRITA-TET 92-3 , Jan. , Stockholm , , Sweden : Royal Institute of Technology .
  • He , S. Nov. 1991 . Time domain direct and inverse scattering for higher dimensional fields prop- agating in stratified dissipative media , Nov. , Stockholm , Sweden : Royal Institute of Technology . Ph.D. Thesis
  • Pogorzelski , W. 1966 . Integral Equations and Their Applications , Vol. I , Oxford : Pergamon .
  • Colton , D. and Monk , P. 1988 . The inverse scattering problem for time harmonic ac- coustic waves in an inhomogeneous medium . Quart. J. Mech. Appl. Math. , 41 : 97 – 125 .
  • Karlsson , A. , Kreider , K. and Kristensson , G. 1992 . “ Wave splitting and imbedding equa- tions for a spherically symmetric dispersive medium ” . In Inverse Problems and and Invariant Imbedding , Edited by: Corones , J. P. , Kristensson , G. , Nelson , P. and Seth , D. L. SIAM .
  • Stratton , J. A. 1941 . Electromagnetic Theory , McGraw-Hill .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.