© The Institution of Engineering and Technology
Permittivity of the dielectric objects is calculated using the scattered fields from objects and the incident fields in the investigation domain. In practical applications, calculation of incident fields over closely placed discrete points is a challenging task. In this study, a simple method to calculate incident fields using equivalent sources is proposed. These equivalent sources are modelled from the measured incident fields around the dielectric objects. From these sources, permittivity of the dielectric objects is calculated on experimental data set by employing contrast source inversion technique. Further, the accuracy of the proposed method is studied on synthetic data by approximating the pyramidal horn antenna fields with line and equivalent sources.
References
-
-
1)
-
6. Catapano, I., Crocco, L., Isernia, T.: ‘On simple methods for shape reconstruction of unknown scatterers’, IEEE Trans. Antennas Propag., 2007, 55, pp. 1431–1435 (doi: 10.1109/TAP.2007.895563).
-
2)
-
9. Kleinman, R.E., van den Berg, P.M.: ‘A modified gradient method for two-dimensional problems in tomography’, J. Comput. Appl. Math., 1992, 42, pp. 17–35 (doi: 10.1016/0377-0427(92)90160-Y).
-
3)
-
12. Bloemenkamp, R.F., Abubakar, A., van den Berg, P.M.: ‘Inversion of experimental multi-frequency data using the contrast source inversion method’, Inv. Prob., 2001, 17, pp. 1611–1622 (doi: 10.1088/0266-5611/17/6/305).
-
4)
-
I. Catapano ,
L. Di Donato ,
L. Crocco ,
O.M. Bucci ,
A.F. Morabito ,
T. Isernia ,
R. Massa
.
On quantitative microwave tomography of female breast.
Prog. Electromagn. Res.
,
75 -
93
-
5)
-
23. Richmond, J.H.: ‘Scattering by a dielectric cylinder of arbitrary cross section shape’, IEEE Trans. Antennas Propag., 1965, 13, pp. 334–341 (doi: 10.1109/TAP.1965.1138427).
-
6)
-
8. Colton, D., Kress, ,: ‘Inverse acoustic and electromagnetic scattering theory’ (Springer, Berlin, 1992).
-
7)
-
4. Chaturvedi, P., Plumb, R.G.: ‘Electromagnetic imaging of under-ground targets using constrained optimization’, IEEE Trans. Geosci. Remote Sens., 1995, 33, pp. 551–561 (doi: 10.1109/36.387572).
-
8)
-
13. van den Berg, P.M., Abubakar, A.: ‘Inverse scattering algorithms based on contrast source integral representations’, Inv. Prob., 2002, 10, pp. 559–76 (doi: 10.1080/1068276031000086787).
-
9)
-
19. Harrington, R.F.: ‘Time-harmonic electromagnetic fields’ (McGraw-Hill, New York, 1961), pp. 223–232.
-
10)
-
22. Balanis, C.A.: ‘Antenna theory analysis and design’ (Wiley, Delhi, 2001), pp. 682–95.
-
11)
-
16. Belkebir, K., Saillard, M.: ‘Guest editor's introduction’, Inv. Prob., 2001, 17, (6), pp. 1565–71 (doi: 10.1088/0266-5611/17/6/301).
-
12)
-
17. van den Berg, P.M., Kleinman, R.E.: ‘A contrast source inversion method’, Inv. Prob., 1997, 13, pp. 1607–1620 (doi: 10.1088/0266-5611/13/6/013).
-
13)
-
O.M. Bucci ,
T. Isernia
.
Electromagnetic inverse scattering: retrievable information and measurement strategies.
Radio Sci.
,
6 ,
2123 -
2137
-
14)
-
11. Attardo, E.A., Borsic, A., Vecchi, G., Meaney, P.M.: ‘Whole-system electromagnetic modeling for microwave tomography’, IEEE Antennas Wirel. Propag. Lett., 2012, 11, pp. 1618–1621 (doi: 10.1109/LAWP.2013.2237745).
-
15)
-
7. Agarwal, K., Chen, X., Zhong, Y.: ‘A multipole-expansion based linear sampling method for solving inverse scattering problem’, Opt. Express, 2010, 12, (6), pp. 6366–6381 (doi: 10.1364/OE.18.006366).
-
16)
-
14. Crocco, L., D'Urso, M., Isernia, T.: ‘Inverse scattering with real data: detection and imaging homogeneous dielectric objects’, Inv. Prob., 2001, 17, pp. 1573–1583 (doi: 10.1088/0266-5611/17/6/302).
-
17)
-
M. Brignone ,
G. Bozza ,
A. Randazzo ,
M. Piana ,
M. Pastorino
.
A hybrid approach to 3D microwave imaging by using linear sampling and ACO.
IEEE Trans. Antenna Propag.
,
10 ,
3224 -
3232
-
18)
-
20. ‘Curve fitting by method of least squares’ .
-
19)
-
21. Shewchuk, J.R.: ‘An Introduction to the Conjugate Gradient Method Without Agonizing Pain’, 1994. .
-
20)
-
10. Van Den Berg, M., Abubakar, A.: ‘Contrast source inversion method: state of art’, Prog. Electromagn. Res., 2001, 34, pp. 189–218 (doi: 10.2528/PIER01061103).
-
21)
-
1. Lu, T., Agarwal, K., Zhong, Y., Chen, X.: ‘Through-wall imaging: application of subspace based optimization method’, Prog. Electromagn. Res., 2010, 102, pp. 351–366 (doi: 10.2528/PIER10020903).
-
22)
-
3. Zhang, Y., Liu, C.: ‘A space marching inversion algorithm for pulsed borehole radar in time-domain’, IEEE Trans. Geosci. Remote Sens., 1995, 33, pp. 541–550 (doi: 10.1109/36.387571).
-
23)
-
15. Crocco, L., D'Urso, M., Isernia, T.: ‘Testing the contrast source extended born inversion method against real data: TM case’, Inv. Prob., 2005, 21, pp. S33–S50 (doi: 10.1088/0266-5611/21/6/S04).
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