A wave-splitting based optimization approach to multi-dimensional time-domain electromagnetic inverse problems

Mathematics and Computers in Simulation

Volumn 50, Issue 5-6, 1999, Pages 541-551

  Gustafsson, Mats ^a   He, Sailing ^b  

^a LUND INSTITUTE OF TECHNOLOGY   (Sweden)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Explicit gradient; Inverse problem; Multi dimensional; Optimization; Wave splitting

Indexed keywords

EID: 0007558673     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(99)00103-2     Document Type: Article

References (18)

1. A.C. Kak, M. Slaney, Principles of Computerized Tomagraphic Imaging, IEEE Press, New York, 1988.
2. Y.M. Wang, W.C. Chew, Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method, IEEE Trans. Med. Imaging, vol. MI-9, 1990, pp. 218-225.
3. R.E. Kleinman, P.M. van den Berg, An extended range modified gradient technique for profile inversion, Radio Sci. 28 (1993) 877-884.
4. T. Takenaka, H. Harada, M. Tanaka, Reconstruction algorithm of the reflective index of a cylindrical object from the intensity measurements of the total field, Microwave Opt. Technol. Lett. 14(3) (1997) 182-188.
5. A. Franchooois, C. Pichot, Microwave imaging - complex permittivity reconstruction with a Levenberg-Marquardt method, IEEE Trans. Antennas Propagat. 45(2) (1997) 203-215.
6. Z.Q. Meng, T. Takenaka, T. Tanaka, Image reconstruction of two-dimensional impenetrable objects using genetic algorithm, J. Electromagn. Waves Appl. Vol. 12, 1998, in press.
7. A. Qing, L. Jen, A novel method for microwave imaging of dielectric cylinder in layered media, J. Electromag. Waves Appl. 11 (1997) 1337-1348.
8. S. He, S. Ström, V.H. Weston, Time Domian Wave-splittings and Inverse Problems, Oxford University Press, Oxford, 1998.
9. H.-O. Kreiss, J. Lorentz, Initial-Boundary Value Problems and the Navier-Stokes Equations, Academic Press, San Diego, 1989.
10. M. Gustafsson, Time domain theory of the macroscopic Maxwell equations, Technical report LUTEDX/(TEAT-7062)/1-24, Department of Electromagnetic Theory, Lund Institute of Technology, S-211 00 Lund, Sweden, 1997.
11. E. Polack, Computational Methods in Optimization, a Unified Approach, Academic Press, New York, 1971.
12. K.S. Yee, Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. Antennas Propagat. 14(3) (1966) 302-307.
13. K.S. Kunz, R.J. Luebbers, The Finite Difference Time Domain Method for Electrodynamics, CRC Press, Boca Raton, Florida, 1993.
14. J.C. Strikwerda, Finite Difference Schemes and Partial Differential Equations, Chapman & Hall, 1989.
15. B. Gustafsson, H.-O. Kreiss, J. Oliger, Time Dependent Problems and Difference Methods, Wiley, New York, 1995.
16. G. Mur, Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations, IEEE Trans. Electromagn. Compat. 23 (1981) 377-382.
17. D. Givoli, Numerical Methods for Problems in Infinite Domains, Elsevier, Amsterdam, 1992.
18. D. Colton, R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, Springer, Berlin, 1992.