volume | PIER Journals

Abstract

Most of the current imaging methods in microwave induced thermoacoustic tomography (MITAT) system assume that the heterogeneous sound velocity (SV) and density distribution are given or subject to Gaussian distribution. These situations generally are not satisfied. To improve multi-targets thermoacoustic sources imaging quality in a heterogeneous tissue, an iterative TR adjoint imaging method is proposed. The proposed iterative TR adjoint method can reconstruct thermoacoustic sources from the measured data even if the prior heterogeneous information of the tissue is unknown. This method estimates misfit between synthesized and observed measured signals, and iteratively updates supposed model parameters which give the heterogeneous tissue structure. In this iterative procedure, error kernels of SV, density and the approximate point source position information can be obtained independently. After the time of flight (TOF) convergence criterion is reached, a regular time reversal (TR) method with updated model will give out the final imaging result. The proposed TR adjoint imaging method is based on strictly theoretical derivation, and some simulations are presented to validate the method.

1. Chen, G. P., Z. Q. Zhao, Z. P. Nie, and Q. H. Liu, "A computational study of time reversal mirror technique for microwave-induced thermo-acoustic tomography," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 12, 2191-2204, 2008.
doi:10.1163/156939308787522555 Google Scholar

2. Guo, B., Y. Wang, J. Li, P. Stoica, and R. Wu, "Microwave imaging via adaptive beamforming methods for breast cancer detection," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 1, 53-63, 2006.
doi:10.1163/156939306775777350 Google Scholar

3. Catapano, I., L. Di Donato, L. Crocco, O. M. Bucci, A. F. Morabito, T. Isernia, and R. Massa, "On quantitative microwave tomography of female breast," Progress In Electromagnetics Research, Vol. 97, 75-93, 2009.
doi:10.2528/PIER09080604 Google Scholar

4. Chen, G., Z. Zhao, W. Gong, Z. Nie, and Q. Liu, "The development of the microwave-induced thermo-acoustic tomography prototype system," Chinese Science Bulletin, Vol. 52, No. 12, 1786-1789, 2009. Google Scholar

5. Kruger, R. A., W. L. Kiser, D. R. Reinecke, G. A. Kruger, and R. L. Eisenhart, "Thermoacoustic computed tomography of the breast at 434 MHz," IEEE MIT-S Digest, Vol. 2, 591-595, 1999. Google Scholar

6. Hristova, Y., P. Kuchment, and L. Nguyen, "Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media," Inverse Problems, Vol. 24, No. 5, 055006-055032, 2008.
doi:10.1088/0266-5611/24/5/055006 Google Scholar

7. Treeby, B. E., J. G. Laufer, E. Z. Zhang, F. C. Norrisy, M. F. Lythgoey, P. C. Beard, and B. T. Cox, "Acoustic attenuation compensation in photoacoustic tomography: Application to high-resolution 3D imaging of vascular networks in mice," Photons Plus Ultrasound: Imaging and Sensing, edited by Alexander A. Oraevsky, Lihong V. Wang, Proc. of SPIE, Vol. 7899, 78992Y-1-9, 2011. Google Scholar

8. Tape, C., Q. Liu, and J. Tromp, "Finite-frequency tomography using adjoint methods --- Methodology and examples using membrane surface waves," Geophysical Journal International, Vol. 168, 1105-1129, 2007.
doi:10.1111/j.1365-246X.2006.03191.x Google Scholar

9. Norton, S. J., "Iterative inverse scattering algorithms: methods of computing Frechet derivatives," The Journal of the Acoustical Society of America, Vol. 106, No. 5, 2653-2660, 1999.
doi:10.1121/1.428095 Google Scholar

10. Kunyansky, L., "Fast reconstruction algorithms for the thermoacoustic tomography in certain domains with cylindrical or spherical symmetries," Inverse Problems and Imaging, Vol. 6, No. 1, 111-131, 2011.
doi:10.3934/ipi.2012.6.111 Google Scholar

11. Qian, J., P. Stefanov, G. Uhlmann, and H. Zhao, "An efficient Neumann-series based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed," SIAM Journal on Imaging Sciences, Vol. 4, No. 3, 850-883, 2011.
doi:10.1137/100817280 Google Scholar

12. Zhang, Z. and W. Dou, "A compact THz scanning imaging system based on improved reverse-microscope system," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 8, 1045-1057, 2010.
doi:10.1163/156939310791585954 Google Scholar

13. Wang, J., Z. Zhao, J. Song, X. Zhu, Z.-P. Nie, and Q. H. Liu, "Reconstruction of microwave absorption properties in heterogeneous tissue for microwave-induced thermo-acoustic tomography," Progress In Electromagnetics Research, Vol. 130, 225-240, 2012. Google Scholar

14. Fink, M., "Time-reversed acoustics," Physics Today, Vol. 50, No. 3, 34-40, 1997.
doi:10.1063/1.881692 Google Scholar

15. Bal, G. and L. Ryzhik, "Time reversal and refocusing in random environment," SIAM Appl. Math., Vol. 63, 1375-1498, 2003. Google Scholar

16. Everett, H. I. I. I., "Generalized lagrange multiplier method for solving problems of optimum allocation of resources," Operations Research, Vol. 11, No. 3, 399-417, 1963.
doi:10.1287/opre.11.3.399 Google Scholar

17. Chen, G.-P., W.-B. Yu, Z.-Q. Zhao, Z.-P. Nie, and Q.-H. Liu, "The characteristics and affects of the microwave-induced thermoacoustic signals in time and frequency domain," Chinese of Journal Electronics, Vol. 38, No. 3, 689-694, 2010. Google Scholar

18. Liu, Q. H., "The PSTD Algorithm: A time-domain method requiring only two cells per wavelength," Microwave and Optical Technology Letters, Vol. 15, No. 3, 158-165, 1997.
doi:10.1002/(SICI)1098-2760(19970620)15:3<158::AID-MOP11>3.0.CO;2-3 Google Scholar

Dr. Guoping Chen

Dr. Xin Wang

Dr. Jinguo Wang

Professor Zhiqin Zhao

Professor Zai-Ping Nie

Prof. Qing Huo Liu