Imaging perfectly conducting objects as support of induced currents: Kirchhoff approximation and frequency diversity

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 19, Issue 7, 2002, Pages 1308-1318

  Liseno, Angelo ^a   Pierri, Rocco ^a  

^a SECOND UNIVERSITY OF NAPLES   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONDUCTIVE MATERIALS; CURRENT DENSITY; ELECTRIC FIELDS; INDUCED CURRENTS; PROBLEM SOLVING;

KIRCHHOFF APPROXIMATION;

IMAGING TECHNIQUES;

EID: 0041853637     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.001308     Document Type: Article

References (28)

1. B. Borden, "Some issues in inverse synthetic aperture radar image reconstruction," Inverse Probl. 13, 571-584 (1997).
2. A. Sullivan, R. Damarla, N. Geng, Y. Dong, and L. Carin, "Ultrawide-band synthetic aperture radar for detection of unexploded ordnance: modeling and measurements," IEEE Trans. Antennas Propag. 48, 1306-1315 (2000).
3. K. J. Langenberg, "Elastic wave inverse scattering as applied to nondestructive evaluation," in Inverse Problems in Scattering and Imaging, M. Bertero and E. R. Pike eds. (Adam Hilger, Bristol, UK, 1992).
4. R. Kress, "Numerical methods in inverse obstacle scattering," Aust. New Zeal. Ind. Appl. Math. J. 42, C44-C67 (2000).
5. A. Kirsch, "The domain derivative and two applications in inverse scattering theory," Inverse Probl. 9, 81-96 (1993).
6. A. Qing and C. K. Lee, "Electromagnetic inverse scattering of two-dimensional perfectly conducting objects by real-coded genetic algorithm," IEEE Trans. Geosci. Remote Sens. 39, 665-676 (2001).
7. R. D. Marger and N. Bleistein, "An examination of the limited aperture problem of physical optics inverse scattering," IEEE Trans. Antennas Propag. AP-26, 695-699 (1979).
8. K. J. Langenberg, M. Brandfass, P. Fellinger, T. Gurke, and T. Kreutter, "A unified theory of multidimensional electromagnetic vector inverse scattering within the Kirchoff or Born approximation," in Radar Target Imaging, W.-M. Boerner and H. Uberall eds. (Springer-Verlag, Berlin, 1994).
9. R. Pierri, A. Liseno, and P. Soldovieri, "Shape reconstruction from PO multifrequeney scattered fields via the singular value decomposition approach," IEEE Trans. Antennas Propag. 49, 1333-1343 (2001).
10. Y. Dai, E. J. Rothwell, K. M. Chen, and D. P. Nyquist, "Time-domain imaging of radar targets using sinogram restoration for limited-view reconstruction," IEEE Trans. Antennas Propag. 47, 1323-1329 (1999).
11. D. S. Jones, Methods in Electromagnetic Wave Propagation (Oxford U., Press, Oxford, UK, 1994).
12. V. S. Vladimirov, Generalized Functions in the Mathematical Physics (Mir, Moscow, 1997).
13. M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging (Institute of Physics, Bristol, UK 1998).
14. 4
15. N. Morita, "The boundary-element method," in Analysis Methods for Electromagnetic Wave Problems, E. Yamashita ed. (Artech House, Boston, Mass. 1990).
16. L. Schwartz, Mathematics for the Physical Sciences (Addison-Wesley, New York, 1996).
17. A. D. Yaghjian, T. B. Hansen, and A. J. Devaney, "Minimum source region for a given far-field pattern," IEEE Trans. Antennas Propag. 45, 911-912 (1997).
18. I. D. King and T. E. Hodgetts, "An approximate treatment of scattering based on the delta boundary operator technique," IMA J. Appl. Math. 64, 139-155 (2000).
19. L. Kantorovich and G. Akilov, Functional Analysis (Pergamon, New York, 1982).
20. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory (Springer-Verlag, Berlin, 1992).
21. R. P. Harrington, Time-Harmonic Electromagnetic Fields (McGraw-Hill, New York, 1961).
22. E. Scalas and G. A. Viano, "Resolving power and information theory in signal recovery," J. Opt. Soc. Am. A 10, 991-996 (1993).
23. R. Pierri and F. Soldovieri, "On the information content of the radiated fields in the near zone over bounded domains," Inverse Probl. 14, 321-337 (1998).
24. A. Brancaccio, G. Leone, and R. Pierri, "Information content of Born scattered fields: results in the circular cylindrical case," J. Opt. Soc. Am. A15, 1909-1917 (1998).
25. R. Pierri, A. Liseno, F. Soldovieri, and R. Solimene, "In-depth resolution for a strip source in the Fresnel zone," J. Opt. Soc. Am. A 18, 352-359 (2001).
26. A. Liseno, R. Pierri, and F. Soldovieri, "Depth resolving power in near zone: numerical results for a strip source," Int. J. Electron. Commun. (AEÜ) 55, 100-108 (2001).
27. A† denotes the adjoint of A.
28. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, (Nauka, Moscow, 1981).