109
Views
36
CrossRef citations to date
0
Altmetric
Articles

TIME-DOMAIN INVERSE SCATTERING USING LAGRANGE MULTIPLIERS: AN ITERATIVE FDTD-BASED OPTIMIZATION TECHNIQUE

Pages 271-289 | Published online: 03 Apr 2012

References

  • Chew , W. C. and Wang , Y. M. 1990 . Reconstruction of two-dimensional permittivity distributions using the distorted Born iterative method . IEEE Trans. Med. Imaging , 9 ( No. 2 ) June : 218 – 225 .
  • Caorsi , S. , Gragnani , G. L. and Pastorino , M. 1990 . Two-dimensional microwave imaging by a numerical inverse scattering solution . IEEE Trans. Microwave Theory Tech. , 38 ( No. 8 ) Aug. : 981 – 989 .
  • Kleinman , R. E. and van den Berg , P. M. 1992 . A modified gradient method for two-dimensional problems in tomography . J. Comput. Appl. Math. , 42 ( No. 1 ) : 15 – 35 .
  • Franchois , A. and Pichot , C. 1997 . Microwave imaging—Complex permittivity reconstruction with a Levenberg-Marquardt method . IEEE Trans. Antennas Propagat. , 45 ( No. 2 ) Feb. : 203 – 215 .
  • Meaney , P. M. , Paulsen , K. D. and Ryan , T. P. 1995 . Two-dimensional hybrid element image reconstruction for TM illumination . IEEE Trans. Antennas Propagat. , 43 ( No. 3 ) Mar. : 239 – 247 .
  • Rekanos , I. T. and Tsiboukis , T. D. 1999 . An iterative numerical method for inverse scattering problems . Radio Sci. , 34 ( No. 6 ) Nov.-Dec. : 1401 – 1412 .
  • Colton , D. and Kress , R. 1992 . Inverse Acoustic and Electromagnetic Scattering Theory , New York : Springer-Verlag .
  • Chew , W. C. and Lin , J.-H. 1995 . A frequency-hopping approach for microwave imaging of large inhomogeneous bodies . IEEE Microwave Guided Wave Lett. , 5 ( No. 12 ) Dec. : 439 – 441 .
  • Rekanos , I. T. and Tsiboukis , T. D. 2000 . A finite element-based technique for microwave imaging of two-dimensional objects . IEEE Trans. Instrum. Meas. , 49 ( No. 2 ) Apr. : 234 – 239 .
  • Abubakar , A. and van den Berg , P. M. 2000 . Iterative reconstructions of electrical conductivity from multiexperiment low-frequency electromagnetic data . Radio Sci. , 35 ( No. 6 ) Nov.-Dec. : 1293 – 1306 .
  • Tijhuis , A. G. 1981 . Iterative determination of permittivity and conductivity profiles of a dielectric slab in the time domain . IEEE Trans. Antennas Propagat. , 29 ( No. 2 ) Mar. : 239 – 245 .
  • Weedon , W. H. and Chew , W. C. 1993 . Time-domain inverse scattering using the local shape function (LSF) method . Inv. Problems , 9 ( No. 5 ) Oct. : 551 – 564 .
  • Moghaddam , M. and Chew , W. C. 1993 . Study of some practical issues in inversion with the Born iterative method using time-domain data . IEEE Trans. Antennas Propagat. , 41 ( No. 2 ) Feb. : 177 – 184 .
  • Takenaka , T. , Tanaka , T. , Harada , H. and He , S. 1997 . FDTD approach to time domain inverse problem for stratified lossy media . Microw. Opt. Tech. Lett. , 16 ( No. 5 ) Dec. : 292 – 296 .
  • Gustafsson , M. and He , S. 2000 . An optimization approach to twodimensional time domain electromagnetic inverse problems . Radio Sci. , 35 ( No. 2 ) Mar.-Apr. : 525 – 536 .
  • Taflove , A. 1998 . Advances in Computational Electrodynamics: The Finite-Difference Time-Domain Method , Norwood , MA : Artech House .
  • Luenberger , D. G. 1984 . Linear and Nonlinear Programming , Reading , MA : Addison-Wesley .
  • Berenger , J. P. 1994 . A perfectly matched layer for the absorption of electromagnetic waves . J. Comput. Phys. , 114 ( No. 2 ) Oct. : 185 – 200 .
  • Tikhonov , A. N. and Arsenin , V. T. 1977 . Solutions of Ill-Posed Problems , Washington, DC : Winston .
  • Sagan , H. 1969 . Introduction to the Calculus of Variations , New York , NY : 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.