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[CrossRef]

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M. Benedetti, D. Lesselier, M. Lambert, and A. Massa, “Multiple shapes reconstruction by means of multi-region level sets,” IEEE Trans. Geosci. Remote Sens. 48, 2330–2342 (2010).

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[CrossRef]

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[CrossRef]

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[CrossRef]

G. Bozza and M. Brignone, “Application of the no-sampling linear sampling method to breast cancer detection,” IEEE Trans. Biomed. Eng. 57, 2525–2534 (2010).

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G. Bozza, C. Estatico, A. Massa, M. Pastorino, and A. Randazzo, “Short-range image-based method for the inspection of strong scatterers using microwaves,” IEEE Trans. Instrum. Meas. 56, 1181–1188 (2007).

[CrossRef]

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[CrossRef]

C. Estatico, G. Bozza, A. Massa, M. Pastorino, and A. Randazzo, “A two-step iterative inexact-Newton method for electromagnetic imaging of dielectric structures from real data,” Inverse Probl. 21, S81–S94 (2005).

[CrossRef]

A. Bréard, G. Perrusson, and D. Lesselier, “Hybrid differential evolution and retrieval of buried spheres in subsoil,” IEEE Geosci. Remote Sens. Lett. 5, 788–792 (2008).

[CrossRef]

G. Bozza and M. Brignone, “Application of the no-sampling linear sampling method to breast cancer detection,” IEEE Trans. Biomed. Eng. 57, 2525–2534 (2010).

[CrossRef]

G. Bellizzi, O. Bucci, and I. Catapano, “Microwave cancer imaging exploiting magnetic nanoparticles as contrast agent,” IEEE Trans. Biomed. Eng. 58, 2528–2536 (2011).

[CrossRef]

O. Bucci, N. Cardace, L. Crocco, and T. Isernia, “Degree of nonlinearity and a new solution procedure in scalar two-dimensional inverse scattering problems,” J. Opt. Soc. Am. A 18, 1832–1843 (2001).

[CrossRef]

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[CrossRef]

S. Caorsi, M. Donelli, and A. Massa, “Detection, location, and imaging of multiple scatterers by means of the iterative multiscaling method,” IEEE Trans. Microw. Theory Technol. 52, 1217–1228 (2004).

[CrossRef]

S. Caorsi, M. Donelli, D. Franceschini, and A. Massa, “A new methodology based on an iterative multiscaling for microwave imaging,” IEEE Trans. Microw. Theory Technol. 51, 1162–1173 (2003).

[CrossRef]

E. Bermani, A. Boni, S. Caorsi, and A. Massa, “An innovative real-time technique for buried object detection,” IEEE Trans. Geosci. Remote Sens. 41, 927–931 (2003).

[CrossRef]

S. Caorsi, A. Massa, and M. Pastorino, “Numerical assessment concerning a focused microwave diagnostic method for medical applications,” IEEE Trans. Microw. Theory Technol. 48, 1815–1830 (2000).

[CrossRef]

G. Bellizzi, O. Bucci, and I. Catapano, “Microwave cancer imaging exploiting magnetic nanoparticles as contrast agent,” IEEE Trans. Biomed. Eng. 58, 2528–2536 (2011).

[CrossRef]

I. Catapano, L. Crocco, and T. Isernia, “On simple methods for shape reconstruction of unknown scatterers,” IEEE Trans. Antennas Propag. 55, 1431–1436 (2007).

[CrossRef]

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[CrossRef]

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[CrossRef]

G. Oliveri, Y. Zhong, X. Chen, and A. Massa, “Multiresolution subspace-based optimization method for inverse scattering problems,” J. Opt. Soc. Am. A 28, 2057–2069 (2011).

[CrossRef]

L. Pan, X. Chen, Y. Zhong, and S. Yeo, “Comparison among the variants of subspace-based optimization method for addressing inverse scattering problems: transverse electric case,” J. Opt. Soc. Am. A 27, 2208–2215 (2010).

[CrossRef]

Y. Zhong, X. Chen, and K. Agarwal, “An improved subspace-based optimization method and its implementation in solving three-dimensional inverse problems,” IEEE Trans. Geosci. Remote Sens. 48, 3763–3768 (2010).

[CrossRef]

L. Pan, K. Agarwal, Y. Zhong, S. Yeo, and X. Chen, “Subspace-based optimization method for reconstructing extended scatterers: transverse electric case,” J. Opt. Soc. Am. A 26, 1932–1937 (2009).

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X. Chen, “Signal-subspace method approach to the intensity-only electromagnetic inverse scattering problem,” J. Opt. Soc. Am. A 25, 2018–2024 (2008).

[CrossRef]

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[CrossRef]

O. Bucci, N. Cardace, L. Crocco, and T. Isernia, “Degree of nonlinearity and a new solution procedure in scalar two-dimensional inverse scattering problems,” J. Opt. Soc. Am. A 18, 1832–1843 (2001).

[CrossRef]

R. Ferraye, J. Y. Dauvignac, and Ch. Pichot, “Reconstruction of complex and multiple shape object contours using a level set method,” J. Electromagn. Waves Appl. 17, 153–181 (2003).

[CrossRef]

R. Ferraye, J. Y. Dauvignac, and Ch. Pichot, “An inverse scattering method based on contour deformations by means of a level set method using frequency hopping technique,” IEEE Trans. Antennas Propag. 51, 1100–1113 (2003).

[CrossRef]

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[CrossRef]

P. Rocca, M. Benedetti, M. Donelli, D. Franceschini, and A. Massa, “Evolutionary optimization as applied to inverse scattering problems,” Inverse Probl. 25, 123003 (2009).

[CrossRef]

S. Caorsi, M. Donelli, and A. Massa, “Detection, location, and imaging of multiple scatterers by means of the iterative multiscaling method,” IEEE Trans. Microw. Theory Technol. 52, 1217–1228 (2004).

[CrossRef]

S. Caorsi, M. Donelli, D. Franceschini, and A. Massa, “A new methodology based on an iterative multiscaling for microwave imaging,” IEEE Trans. Microw. Theory Technol. 51, 1162–1173 (2003).

[CrossRef]

O. Dorn and D. Lesselier, “Introduction to the special issue on electromagnetic inverse problems: emerging methods and novel applications,” Inverse Probl. 26, 070201 (2010).

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M. El-Shenawee, O. Dorn, and M. Moscoso, “An adjoint-field technique for shape reconstruction of 3-D penetrable object immersed in lossy medium,” IEEE Trans. Antennas Propag. 57, 520–534 (2009).

[CrossRef]

O. Dorn and D. Lesselier, “Level set methods for inverse scattering,” Inverse Probl. 22, R67–R131 (2006).

[CrossRef]

M. R. Hajihashemi and M. El-Shenawee, “Level set algorithm for shape reconstruction of nonoverlapping three-dimensional penetrable targets,” IEEE Trans. Geosci. Remote Sens. 50, 75–86 (2012).

[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

R. Ferraye, J. Y. Dauvignac, and Ch. Pichot, “Reconstruction of complex and multiple shape object contours using a level set method,” J. Electromagn. Waves Appl. 17, 153–181 (2003).

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T. Isernia, V. Pascazio, and R. Pierri, “On the local minima in a tomographic imaging technique,” IEEE Trans. Geosci. Remote Sens. 39, 1596–1607 (2001).

[CrossRef]

J. E. Johnson, 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. 56, 2232–2243 (2009).

[CrossRef]

P. M. Meaney, M. W. Fanning, D. Li, S. P. Poplack, and K. D. Paulsen, “A clinical prototype for active microwave imaging of the breast,” IEEE Trans. Microw. Theory Technol. 48, 1841–1853 (2000).

[CrossRef]

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A time-dependence ej2πft, f being the working frequency, is assumed and omitted hereinafter.