Frequency and Time Domain Green Function Technique for Nonuniform LCRG Transmission Lines with Frequency-Dependent Parameters

References

• He , S. and Ström , S. 1992 . Time domain wave splitting approach to transmission along a nonuniform LCRG line . J. Electro. Waves and Applic. , 6 ( No. 8 ) : 995 – 1014 .
   Google Scholar
• Gradwell , G. , Dods , S. and Chaudhuri , S. 1988 . Nonuniform transmission-line synthesis using inverse eigenvalue analysis . IEEE Trans. Circuits Syst. , 35 : 659 – 666 .
   Google Scholar
• Budner , A. 1970 . Introduction of frequency-dependent line parameters into an electromagnetic transients program . IEEE Trans. Power Apparatus and Systems , PAS-89 : 88 – 97 .
   Google Scholar
• Meyer , W. S. and Dommel , H. W. 1975 . Numerical modeling of frequency-dependent transmission-line parameters in an electromagnetic transients program . IEEE Trans. Power Apparatus and Systems , PAS-93 : 1401 – 1409 .
   Google Scholar
• Diordjevic , A. R. , Sarkar , T. K. and Harrington , R. F. 1987 . Time-domain response of Multiconductor transmission line . Proc. IEEE , 75 ( No. 6 ) : 743 – 764 .
   Google Scholar
• Corones , J. P. and Krueger , R. J. 1983 . Obtaining scattering kernels using invariant imbedding . J. Math. Anal. Appl. , 95 : 393 – 415 .
   Web of Science ®Google Scholar
• Corones , J. P. , Davison , M. E. and Krueger , R. J. 1985 . “ Dissipative inverse problem in the time domain ” . In Inverse Methods in Electromagnetic Imaging, Part 1 Edited by: Boerner , W. M. 121 – 130 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 , Vol. 32 : 3529 – 3539 .
   Google Scholar
• 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. ,
   Web of Science ®Google Scholar
• 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 , Technical Report TRITA-TET 92–3 Jan. , Stockholm , Sweden : Royal Institute of Technology .
   Google Scholar
• 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
   Google Scholar
• He , S. and Ström , S. Mar. 1992 . A simplified inverse approach to nonplanar stratified media , Technical Report TRITA-TET 92–5 Mar. , Stockholm , , Sweden : Royal Institute of Technology .
   Google Scholar
• Kreider , K. L. 1989 . Wave splitting approach to time-dependent inverse scattering for a stratified cylinder . SIAM J. Appl. Math. , 49 : 932 – 934 .
   Google Scholar
• Weston , V. H. 1987 . Factorization of the wave equation in higher dimensions . J. Math. Phys. , 28 : 1061 – 1068 .
   Web of Science ®Google Scholar
• Weston , V. H. 1988 . Factorization of the dissipative wave equation and inverse scattering . J. Math. Phys. , 29 : 2205 – 2218 .
   Web of Science ®Google Scholar
• Weston , V. H. 1989 . Wave splitting and the reflection operator for the wave equation in R3 . J. Math. Phys. , 30 : 2545 – 2562 .
   Web of Science ®Google Scholar
• Krueger , R. J. and Ochs , R. L. 1989 . A Green's function approach to the determination of internal fields . Wave Motion , 11 : 525 – 543 .
   Web of Science ®Google Scholar
• He , S. and Karlsson , A. Jan. 1991 . Time domain Green functions technique for a point source over a dissipative stratified half-space , Technical Report TRITA-TET 91–1 Jan. , Stockholm , , Sweden : Royal Institute of Technology .
   Google Scholar
• He , S. 1992 . Factorization of a dissipative wave equation and the Green functions technique for axially symmetric fields in a stratified slab . J. Math. Phys. , 33 : 953 – 966 .
   Google Scholar
• 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 , Technical Report TRITA-TET 91–8 Oct. , Stockholm , , Sweden : Royal Institute of Technology .
   Google Scholar
• He , S. Jan. 1992 . Time-harmonic Green functions technique and wave propagation in a stratified nonreciprocal chiral slab with multiple discontinuities , Technical Report TRITA-TET 92–1 Jan. , Stockholm , , Sweden : Royal Institute of Technology .
   Google Scholar
• Beezley , R. S. and Krueger , R. J. 1985 . An electromagnetic inverse problem for dispersive media . J. Math. Phys. , 26 : 317 – 325 .
   Web of Science ®Google Scholar
• Kristensson , G. 1989 . Direct and inverse scattering problems in dispersive media - Green's functions and invariant imbedding techniques , Methoden und Verfahren der Mathematischen Physik, Mathematisches Forschungsinstitut Oberwolfach, FRG .
   Google Scholar
• Bellman , R. and Wing , G. N. 1975 . An Introduction to Invariant Imbedding , New York : Wiley .
   Google Scholar
• Kong , J. A. 1986 . Electromagnetic Wave Theory , John Wiley & Sons .
   Google Scholar
• Courant , R. and Hilbert , D. 1962 . Methods of Mathematical Physics , Vol. 2 , New York : Interscience .
   Google Scholar
• Karlsson , A. , Otterheim , H. and Stewart , R. Nov. 1991 . Transient wave propagation in composite media: A Green functions approach , Technical Report TRITA-TET 91–7 Nov. , Stockholm , , Sweden : Royal Institute of Technology .
   Google Scholar
• Karlsson , A. and Kristensson , G. in press . Constitutive relations, dissipations and reciprocity for the Maxwell equations in the time domain . J. Electro. Waves and Applic ,
   Google Scholar
• Arabi , T. R. , Sarkar , T. K. and Djordjevic , A. R. 1989 . Time and frequency domain characterization of multiconductor transmission lines . Electro magnetics , 9 : 85 – 112 .
   Web of Science ®Google Scholar