Electromagnetic imaging of two-dimensional perfectly conducting cylinders with transverse electric scattered field

IEEE Transactions on Antennas and Propagation

Volumn 50, Issue 12, 2002, Pages 1786-1794

  Qing, Anyong ^a,b  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

^b UNIVERSITY OF KASSEL   (Germany)

Author keywords

Cubic B splines; Electromagnetic imaging; Real coded genetic algorithm; Transverse electric (TE) field; Two dimensional (2 D) perfectly conducting cylinders

Indexed keywords

APPROXIMATION THEORY; ELECTRIC FIELDS; GENETIC ALGORITHMS; INTEGRAL EQUATIONS; INVERSE PROBLEMS; OPTIMIZATION; TWO DIMENSIONAL;

CUBIC B-SPLINES; ELECTROMAGNETIC IMAGING; REAL-CODED GENETIC ALGORITHM; TRANSVERSE ELECTRIC SCATTERED FIELD; TWO-DIMENSIONAL PERFECTLY CONDUCTING CYLINDERS;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0037005538     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2002.803961     Document Type: Article

References (59)

1. W. M. Boerner et al., Inverse Methods in Electromagnetic Imaging. Amsterdam, The Netherlands: Reidel, 1985.
2. A. Tarantala, Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation. New York: Elsevier 1987.
3. A. G. Tijhuis, Electromagnetic Inverse Profiling: Theory and Numerical Implementation. Utrecht, The Netherlands: VNU, 1987.
4. M. A. Viergever and A. Todd-Pokropek, Mathematics and Computer Science in Medical Imaging. New York: Springer-Verlag, 1988.
5. W. C. Chew, Waves and Fields in Inhomogeneous Media. New York: Van Nostrand, 1990.
6. B. D. Steinberg, Microwave Imaging Techniques. New York: Wiley, 1991.
7. V. G. Romanov and S. I. Kabanikhin, Inverse Problem for Maxwell's Equations. Utrecht, The Netherlands: VSP, 1994.
8. A. Kirsch, An Introduction to the Mathematical Theory of Inv. Prob. New York: Springer-Verlag, 1996.
9. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 2nd ed. New York: Springer-Verlag, 1998.
10. A. M. Denisov, Elements of the Theory of Inv. Prob. Utrecht, The Netherlands: VSP, 1999.
11. A. L. Bukhgeim, Introduction to the Theory of Inv. Prob. Utrecht, The Netherlands: VSP, 2000.
12. "Inverse methods in electromagnetics," IEEE Trans. Antennas Propagat., vol. AP-29, pp. 185-417, 1981.
13. "Inv. Prob.," Wave Motion, vol. 11, no. 2, pp. 99-200, 1989.
14. N. H. Farhat, "Microwave diversity imaging and automated target identification based on models of neural networks," Proc. IEEE, vol. 77, no. 5, pp. 670-681, 1989.
15. T. M. Habashy, E. Y. Chow, and D. G. Dudley, "Profile inversion using the renormalized source-type integral equation approach," IEEE Trans. Antennas Propagat., vol. 38, pp. 668-682, 1990.
16. L. Garnero et al., "Microwave imaging-complex permittivity reconstruction-by simulated annealing," IEEE Trans. Microwave. Theory Tech., vol. 39, pp. 1801-1807, 1991.
17. W. C. Chew and G. P. Otto, "Microwave imaging of multiple conducting cylinders using local shape functions," IEEE Micro. Guided Wave Lett., vol. 2, pp. 284-286, 1992.
18. C. C. Chiu and Y. W. Kiang, "Microwave imaging of multiple conducting cylinders," IEEE Trans. Antennas Propagat., vol. 40, pp. 933-941, 1992.
19. M. Moghaddam and W. C. Chew, "Study of some practical issues in inversion with the born iterative method using time-domain data," IEEE Trans. Antennas Propagat., vol. 41, pp. 177-184, 1993.
20. Q. H. Liu, "Reconstruction of two-dimensional axisymmetric inhomogeneous media," IEEE Trans. Geosci. Remote Sensing, vol. 31, pp. 587-594, 1993.
21. W. C. Chew and Q. H. Liu, "Inversion of induction tool measurements using the distorted born iterative method and CG-FFHT," IEEE Trans. Geosci. Remote Sensing, vol. 32, pp. 878-884, 1994.
22. H. T. Lin and Y. W. Kiang, "Microwave imaging for a dielectric cylinder," IEEE Trans. Microwave Theory Tech., vol. 42, pp. 1572-1579, 1994.
23. L. Wen, R. E. Kleinman, and P. M. van den Berg, "Modified gradient profile inversion using H-polarized waves," in Proc. 1995 IEEE AP-S Int. Symp., Newport Beach, CA, June 1995, pp. 1598-1601.
24. P.M. Van Den Berg, B. J. Kooij, and R. E. Kleinman, "Image reconstruction using real data, special session," IEEE Antennas Propagat. Mag., vol. 38, pp. 39-59, Jan. 1996.
25. C. C. Chiu and P. T. Liu, "Image reconstruction of a complex cylinder illuminated by TE waves," IEEE Trans. Microw Theory Tech., vol. 44, no. 10, pp. 1921-1927, Oct. 1996.
26. A. Qing and L. Jen, "Microwave imaging of dielectric cylinder in layered media," J. Electromagn. Waves Applicat., vol. 11, no. 2, pp. 259-269, 1997.
27. C. Yu, D. Gao, W. Wang, and Y. Jiang, "On newton-kantorovitch method for profile reconstruction of conductor cylinder," J. Electromag. Waves Appli., vol. 11, no. 10, pp. 1321-1335, 1997.
28. S. Bonnard, P. Vincent, and M. Saillard, "Cross-borehole inverse scattering using a boundary finite-element method," Inv. Prob., vol. 14, no. 3, pp. 521-534, 1998.
29. D. Colton and M. Piana, "The simple method for solving the electromagnetic inverse scattering problem: The case of TE polarized waves," Inv. Prob., vol. 14, no. 3, pp. 597-614, 1998.
30. M. Lambert, D. Lesselier, and B. J. Kooij, "The retrieval of a buried cylindrical obstacle by a constrained modified gradient method in the H-polarization case and for Maxwellian materials," Inv. Prob., vol. 14, no. 5, pp. 1565-1283, 1998.
31. B. J. Kooij and P. M. van den Berg, "Nonlinear inversion in TE scattering," IEEE Trans. Microw Theory Tech., no. 11, Nov. 1998.
32. M. Kaas et al., "Improvement of inverse scattering results by combining TM- and TE-polarized probing waves using an iterative adaptation technique," IEEE Trans. Mag., vol. 35, no. 3, pp. 1574-1577, 1999.
33. S. Bonnard, P. Vincent, and M. Saillard, "Inverse obstacle scattering for homogeneous dielectric cylinders using a boundary finite-element method," IEEE Trans. Antennas Propagat., vol. 48, pp. 393-400, Mar. 2000.
34. W. Rieger et al., "A new approach to the 2D inverse electromagnetic medium scattering problem: Reconstruction of anisotropic objects," IEEE Trans. Mag., vol. 36, pp. 1106-1109, July 2000.
35. E. L. Miller, M. Kilmer, and C. Rappaport, "A new shape-based method for object localization and characterization from scattered field data," IEEE Trans. Geosci. Remote Sensing, vol. 38, pp. 1682-1696, July 2000.
36. J. L. Ma, W. C. Chew, C. C. Lu, and J. M. Song, "Image reconstruction from TE scattering data using equation of strong permittivity fluctuation," IEEE Trans. Antennas Propagat., vol. 48, pp. 860-867, June 2000.
37. M. J. Akhtar and A. S. Omar, "Reconstruction of permittivity profiles in cylindrical objects illuminated by higher order TE/sub mn/ and TM/sub mn/ modes," IEEE Trans. Microw Theory Tech., vol. 48, pp. 2721-2729, Dec. 2000.
38. A. Qing, C, K. Lee, and L. Jen, "Electromagnetic inverse scattering of two-dimensional perfectly conducting objects by real-coded genetic algorithm," IEEE Trans. Geosci. Remote Sens., vol. 39, pp. 665-676, Mar. 2001.
39. A.A. Arkadan, T. Sareen, and S. Subramaniam, "Genetic algorithms for nondestructive testing in crack identification," IEEE Trans. Mag., vol. 30, pp. 4320-4322, June 1994.
40. C. C. Chiu and P. T. Liu, "Image reconstruction of a perfectly conducting cylinder by the genetic algorithm," Inst. Elect. Eng. Proc. Microw., Antennas Propagat., vol. 143, no. 3, pp. 249-253, 1996.
41. ____, "TE-wave image reconstruction by genetic algorithm," in Proc. 1996 4th Millimeter Wave Far Infrared Sci. Technol., Beijing, China, 1996, pp. 92-94.
42. T. Takenaka et al., "Local shape function combined with genetic algorithm applied to inverse scattering for strips," Microwave Optical Tech. Lett., vol. 16, no. 6, pp. 337-341, 1997.
43. A. Qing and S. Zhong, "Microwave imaging of two-dimensional perfectly conducting objects using real-coded genetic algorithm," in Proc. 1998 IEEE AP-S Int. Symp., Atlanta, GA, 1998, pp. 726-729.
44. C. C. Chiu and P. T. Liu, "Electromagnetic TE-wave inverse scattering of a conductor by the genetic algorithm," Int. J. Imaging Syst. Technol., vol. 9, no. 65, pp. 388-394, 1998.
45. F. Xiao and H. Yabe, "Microwave imaging of perfectly conducting cylinders from real data by micro genetic algorithm couple with deterministic method," IEICE Trans. Electron., vol. E81-C, no. 12, pp. 1784-1792.
46. Z. Q. Meng, T. Takenaka, and T. Tanaka, "Image reconstruction of two-dimensional impenetrable objects using genetic algorithm," J. Electromag. Waves Appli., vol. 13, no. 1, pp. 95-118, 1999.
47. C.S. Park and B. S. Jeong, "Reconstruction of a high contrast and large object by using the hybrid algorithm combining a Levenberg-Marquardt algorithm and a genetic algorithm," IEEE Trans. Mag., vol. 35, pp. 1585-1585, May 1999.
48. A. Qing, C. C. Lee, and L. Jen, "Microwave imaging of parallel perfectly conducting cylinders using real-coded genetic algorithm," J. Electromag. Waves Appli., vol. 13, no. 8, pp. 1121-1143, 1999.
49. A. Qing and C. K. Lee, "Microwave imaging of a perfectly conducting cylinder using a real-coded genetic algorithm," Proc. Inst. Elect. Eng. Microwave, Antennas Propagat., vol. 146, no. 6, pp. 421-425, 1999.
50. S. Caorsi and M. Pastorino, "Two-dimensional microwave imaging approach based on a genetic algorithm," IEEE Trans. Antennas Propagat., vol. 48, pp. 370-373, Mar. 2000.
51. S. Caorsi, A. Massa, and M. Pastorino, "A computational technique based on a real-coded genetic algorithm for microwave imaging purposes," IEEE Trans. Geosci. Remote Sensing, vol. 38, pp. 1697-1708, 2000.
52. A. Qing and C. K. Lee, "Microwave imaging of parallel perfectly conducting cylinders using real-coded genetic algorithm coupled with Newton-Kantorovitch method," J. Electromagn. Waves Appl., vol. 14, no. 6, pp. 799-800, 2000.
53. ____, "Application of cubic B-spline function in microwave imaging of a perfectly conducting cylinder by genetic algorithm," in Proc. European Microwave Conf. 2000 (EuMW 2000)-Workshop Microwave Imaging Methods Technol., C. Pichot and J. Y. Dauvignac, Eds., Oct. 2000.
54. A. Qing. Image Reconstruction of a Perfectly Conducting Cylinder by the Genetic Algorithm. [Online]. Available: http://my-home.asia1.com/home/a/ayqing/download/
55. A. Gupta, "Cubic B-Spline Finite Element for Axisymmetric Shells," Ph.D. dissertation, Pennsylvania State Univ., University Park, PA, 1986.
56. Z. Huang, "Shape Representation by B-Spline Curve Modeling With Applications in Invariant Curve Matching, Motion Estimation and Object Tracking," Ph.D. dissertation, Drexel University, Philadelphia, PA, 1994.
57. R. F. Harrington, Field Computation by Moment Methods. Piscataway: IEEE Press, 1993.
58. A. F. Peterson, S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics. Piscataway: IEEE Press, 1997.
59. R. F. Harrington, Time-Harmonic Electromagnetic Fields. New York: McGraw-Hill, 1961.