Progress In Electromagnetics Research M
ISSN: 1937-8726
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 49 > pp. 61-68


By S. W. Ng, K. A. H. Ping, S. Sahrani, M. H. Marhaban, M. I. Sariphn, T. Moriyama, and T. Takenaka

Full Article PDF (275 KB)

In this paper, a Frequency-Dependent Forward-Backward Time-Stepping (FD-FBTS) inverse scattering technique is used for reconstruction of homogeneous dispersive object. The aim of the technique is to reconstruct the relative permittivity at infinite frequency, static relative permittivity and static conductivity of the homogeneous dispersive object simultaneously. The technique utilizes iterative finite-difference time-domain (FDTD) method for solving inverse scattering problem in time domain. The minimization of the cost functional is carried out utilizing Dai-Yuan nonlinear conjugate-gradient algorithm. The Fr├ęchet derivatives of the augmented cost functional are derived analytically with respect to scatterer properties. Numerical results for reconstruction of two-dimensional homogeneous dispersive illustrate the performance of the proposed technique.

S. W. Ng, K. A. H. Ping, S. Sahrani, M. H. Marhaban, M. I. Sariphn, T. Moriyama, and T. Takenaka, "Preliminary Results on Estimation of the Dispersive Dielectric Properties of an Object Utilizing Frequency-Dependent Forward-Backward Time-Stepping Technique," Progress In Electromagnetics Research M, Vol. 49, 61-68, 2016.

1. Shea, J. D., P. Kosmas, S. C. Hagness, and B. D. van Veen, "Three-dimensional microwave imaging of realistic numerical breast phantoms via a multiple-frequency inverse scattering technique," Med. Phys., Vol. 37, 4210-4226, 2010.

2. Hassan, M. and A. M. El-Shenawee, "Review of electromagnetic techniques for breast cancer detection," IEEE Rev. Biomed. Eng., Vol. 4, 103-118, 2011.

3. Winters, D. W., J. D. Shea, P. Kosmas, B. D. van Veen, and S. C. Hagness, "Three-dimensional microwave breast imaging: Dispersive dielectric properties estimation using patient-specific basis functions," IEEE Trans. Med. Imaging, Vol. 28, No. 7, 969-981, 2009.

4. Winters, D. W., E. J. Bond, B. D. van Veen, and S. C. Hagness, "Estimation of the frequency-dependent average dielectric properties of breast tissue using a time-domain inverse scattering technique," IEEE Trans. Antennas Propag., Vol. 54, No. 11, 3517-3528, 2006.

5. Deng, Y. and X. Liu, "Electromagnetic imaging methods for nondestructive evaluation applications," Sensors, Vol. 11, No. 12, Basel, Switzerland, 2011.

6. Pastorino, M., S. Caorsi, and A. Massa, "A global optimization technique for microwave nondestructive evaluation," IEEE Transactions on Instrumentation and Measurement, Vol. 51, No. 4, 666-673, 2002.

7. Rufus, E. and Z. C. Alex, "Microwave imaging system for the detection of buried objects using UWB antenna - An experimental study," PIERS Proceedings, 786-788, Kuala Lumpur, Malaysia, Mar. 27-30, 2012.

8. Crocco, L., F. Soldovieri, N. J. Cassidy, and G. Prisco, "Early-stage leaking pipes GPR monitoring via microwave tomographic inversion," J. Appl. Geophys., Vol. 67, No. 4, 270-277, 2009.

9. Xu, H., T. Li, and Y. Sun, "The application research of microwave imaging in nondestructive testing of concrete wall," 2006 6th World Congress on Intelligent Control and Automation, Vol. 1, 5157-5161, 2006.

10. Davis, S. K., E. J. Bond, X. Li, S. C. Hagness, and B. D. van Veen, "Microwave imaging via space-time beamforming for early detection of breast cancer: Beamformer design in the frequency domain," Journal of Electromagnetic Waves and Applications, Vol. 17, No. 2, 357-381, 2003.

11. Guo, B., J. Li, H. Zmuda, and M. Sheplak, "Multifrequency microwave-induced thermal acoustic imaging for breast cancer detection," IEEE Trans. Biomed. Eng., Vol. 54, No. 11, 2000-2010, 2007.

12. Curtis, C. and E. Fear, "Beamforming in the frequency domain with applications to microwave breast imaging," 2014 8th European Conference on Antennas and Propagation (EuCAP), 72-76, 2014.

13. Franchois, A. and C. Pichot, "Microwave imaging-complex permittivity reconstruction with a Levenberg-Marquardt method," IEEE Trans. Antennas Propag., Vol. 45, No. 2, 203-215, 1997.

14. Caorsi, S., G. L. Gragnani, and M. Pastorino, "Two-dimensional microwave imaging by a numerical inverse scattering solution," IEEE Trans. Microw. Theory Tech., Vol. 38, No. 8, 981-989, 1990.

15. Rekanos, T. T. and T. D. Tsiboukis, "A combined finite element - Nonlinear conjugate gradient spatial method for the reconstruction of unknown scatterer profiles," IEEE Trans. Magn., Vol. 34, No. 5, 2829-2832, 1998.

16. Papadopoulos, T. G. and I. T. Rekanos, "Time-domain microwave imaging of inhomogeneous Debye dispersive scatterers," IEEE Trans. Antennas Propag., Vol. 60, No. 2, 1197-1202, 2012.

17. Papadopoulos, T. G., T. I. Kosmanis, and I. T. Rekanos, "Microwave imaging of dispersive scatterers using vectorial lagrange multipliers," PIERS Proceedings, 1926-1931, Prague, Jul. 6-9, 2015.

18. Takenaka, T., H. J. H. Jia, and T. Tanaka, "An FDTD approach to the time-domain inverse scattering problem for na lossy cylindrical object," 2000 Asia-Pacific Microw. Conf. Proc. (Cat. No. 00TH8522), Vol. 8, No. 2, 3-6, 2000.

19. Takenaka, T., H. Jia, and T. Tanaka, "Microwave imaging of electrical property distributions by a forward-backward time-stepping method," Journal of Electromagnetic Waves and Applications, Vol. 14, No. 12, 1609-1626, 2000.

20. Ping, K. A. H., T. Moriyama, T. Takenaka, and T. Tanaka, "Two-dimensional Forward-Backward Time-Stepping approach for tumor detection in dispersive breast tissues," 2009 Mediterrannean Microwave Symposium (MMS), 1-4, 2009.

21. Johnson, J. E., T. Takenaka, K. Ping, S. Honda, and T. Tanaka, "Advances in the 3-D Forward-Backward Time-Stepping (FBTS) inverse scattering technique for breast cancer detection," IEEE Trans. Biomed. Eng., Vol. 56, No. 9, 2232-2243, 2009.

22. Ng, S. W., K. A. H. Ping, L. S. Yee, W. Z. A. Wan Azlan, T. Moriyama, and T. Takenaka, "Reconstruction of extremely dense breast composition utilizing inverse scattering technique integrated with frequency-hopping approach," ARPN J. Eng. Appl. Sci., Vol. 10, No. 18, 8479-8484, 2015.

23. Yong, G., K. A. H. Ping, A. S. C. Chie, S. W. Ng, and T. Masri, "Preliminary study of forward-backward time-stepping technique with edge-preserving regularization for object detection applications," 2015 International Conference on BioSignal Analysis, Processing and Systems (ICBAPS), 77-81, 2015.

24. Dai, Y. H. and Y. Yuan, "A nonlinear conjugate gradient method with a strong global convergence property," SIAM Journal on Optimization, Vol. 10, No. 1, 177-182, 1999.

© Copyright 2010 EMW Publishing. All Rights Reserved