7
Views
9
CrossRef citations to date
0
Altmetric
Articles

Time Domain Wave Splitting Approach to Transmission Along a Nonuruform LCRG Line

&
Pages 995-1014 | Published online: 03 Apr 2012

References

  • Heim , D. S. and Sharpe , C. B. 1967 . The synthesis of nonuniform lines of finite length—Part I . IEEE Trans. Circuit Theory , 14 ( No. 4 ) : 394 – 403 .
  • Kay , I. 1972 . “The inverse scattering problem for transmission lines,” , NASA TM X-62 Edited by: Colin , L. 150 Mathematics of Profile Inversion .
  • Gopinath , B. and Sondhi , M. M. 1971 . Inversion of the telegraph equation and the synthesis of nonuniform lines . Proc. IEEE , 59 : 383 – 392 .
  • Jaulent , M. 1982 . The inverse scattering problem for LCRG transmission lines . J. Math. Phys. , 23 : 2286 – 2290 .
  • Gradwell , G. , Dods , S. and Chaudhuri , S. 1988 . Nonuniform transmission-line synthesis using inverse eigenvalue analysis . IEEE Trans. Circuits Syst. , 35 : 659 – 666 .
  • Bellman , R and Wing , G. N. 1975 . An Introduction to Invariant Imbedding , New York : Wiley .
  • Corones , J. P. and Krueger , R. J. 1983 . Obtaining scattering kernels using invariant imbedding . J. Math. Anal. Appl. , 95 : 393 – 415 .
  • Corones , J. P. , Davison , M. E. and Krueger , R. J. “Dissipative inverse problem in the time domain,” . Inverse Methods in Electromagnetic Imaging, Part 1 . Edited by: Boerner , W. M. pp. 121 – 130 .
  • Kristensson , G. and Krueger , R. J. 1986 . Direct and inverse scattering in the time domain 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 domain for a dissipative wave equation. Part II. Simultaneous reconstruction of dissippation and phase velocity profiles . J. Math. Phys. , 27 : 1683 – 1693 .
  • Kristensson , G. and Krueger , R. J. 1987 . Direct and inverse scattering in the time domain 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 domain for a dissipative wave equation. Part 4. Use of phase velocity mismatches to simplify inversions . Inverse Problems , 5 : 375 – 388 .
  • Weston , V. H. 1987 . Factorization of the wave equation in higher dimensions . J. Math. Phys. , 28 ( 5 ) : 1061 – 1068 .
  • Weston , V. H. 1988 . Factorization of the wave equation in a nonplanar stratified medium . J. Math. Phys. , 29 : 36 – 45 .
  • Weston , V. H. 1988 . Factorization of the dissipative wave equation and inverse scattering . J. Math. Phys. , 29 : 2205 – 2218 .
  • Weston , V. H. 1989 . Wave splitting and the reflection operator for the wave equation in R3 . J. Math. Phys. , 30 : 2545 – 2562 .
  • Weston , V. H. 1990 . Invariant imbedding for the wave equation in three dimentions and the applications to the direct and inverse problems . Inverse Problems , 6 : 1075 – 1105 .
  • He , S. and Weston , V. H. “ Inverse problem for the dissipative wave equation in stratified half-space and linearization of the imbedding equation ” . Inverse Problems (in press)
  • 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 ( 12 ) : 3529 – 3539 .
  • He , S. and Ström , S. in press . 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. ,
  • 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 Karlsson , A. Jan. 1991 . “ Time domain Green's functions technique for a point source over a dissipative stratified half-space ” . In Tech. Rep. TRITA-TET 91–1 , Jan. , Stockholm , , Sweden : Royal Institute of Technology .
  • He S. , “ Factorization of a dissipative wave equation and the Green functions technique for axially symmetric fields in a stratified slab ,” J. Math. Phys. , 33 ( 3 ), 1992 ( in press )
  • He , S. , Hu , Y. and Ström , S. Oct. 1991 . “ Time domain Green's function technique for a point source over a dissipative stratified half-space with a phase velocity mismatch at the surface ” . In Tech. Rep. TRITA-TET 91–8 , Oct. , Stockholm , , Sweden : Royal Institute of Technology .
  • Gardiol , F. E. 1987 . Lossy Transmission Lines , 57 Artech House, Inc .
  • Courant , R. and Hilbert , D. 1962 . Methods of Mathematical Physics , Vol. 2 , New York : Interscience .
  • Kong , J. A. 1986 . Electromagnetic Wave Theory , John Wiley & Sons .
  • He , S. Feb. 1992 . “ Frequency and time domain Green functions technique for nonuniform LCRG transmission lines with frequency-dependent parameters ” . In Tech. Rep. TRITA - TET, 92–4 , Feb. , Stockholm , , Sweden : Royal Institute of Technology .

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.