P. M. Meaney, K. D. Paulsen, J. T. Chang, “Near-field microwave imaging of biologically-based materials using a monopole transceiver system,” IEEE Trans. Microwave Theory Tech. 46, 31–45 (1998).

[CrossRef]

T. Isernia, V. Pascazio, R. Pierri, “A nonlinear estimation method in tomographic imaging,” IEEE Trans. Geosci. Remote Sens. 35, 910–923 (1997).

[CrossRef]

R. Pierri, A. Brancaccio, “Imaging of a rotationally symmetric dielectric cylinder by a quadratic approach,” J. Opt. Soc. Am. A 14, 2777–2785 (1997).

[CrossRef]

O. M. Bucci, T. Isernia, “Electromagnetic inverse scattering: retrievable information and measurement strategies,” Radio Sci. 32, 2123–2138 (1997).

[CrossRef]

W. Liang, “A probe for making near-field measurement with minimal disturbance: the optically modulated scatterer,” IEEE Trans. Antennas Propag. 45, 772–779 (1997).

[CrossRef]

D. J. Daniels, “Surface penetrating radar,” Electron. Commun. Eng. J. 8, 165–182 (1996).

[CrossRef]

T. Isernia, G. Leone, R. Pierri, F. Soldovieri, “On the local minima problem in phase reconstruction algorithms,” Radio Sci. 31, 1887–1899 (1996).

[CrossRef]

W. C. Chew, J. H. Lin, “A frequency-hopping approach for microwave imaging of large inhomogeneous bodies,” IEEE Microwave Guid. Wave Lett. 5, 439–441 (1995).

[CrossRef]

F. N. Kong, T. L. By, “Performance of a GPR system which uses step frequency signals,” J. Appl. Geophys. 33, 15–26 (1995).

[CrossRef]

W. C. Chew, Y. M. Wang, G. Otto, D. Lesselier, J. Ch. Bolomey, “On the inverse source method of solving inverse scattering problems,” Inverse Probl. 10, 547–553 (1994).

[CrossRef]

T. M. Habashy, R. W. Groom, B. P. Spies, “Beyond the Born and Rytov approximations: a nonlinear approach to electromagnetic scattering,” J. Geophys. Res. 98, 1759–1775 (1993).

[CrossRef]

J. C. Bolomey, “Recent European developments in active microwave imaging for industrial, scientific, and medical applications,” IEEE Trans. Microwave Theory Tech. 37, 2109–2117 (1991).

[CrossRef]

W. C. Chew, Y. M. Wang, “Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method,” IEEE Trans. Med. Imaging 9, 218–225 (1990).

[CrossRef]
[PubMed]

M. Bertero, “Linear inverse and ill-posed problems,” Adv. Electron. Electron Phys. 75, 1–120 (1989).

[CrossRef]

O. M. Bucci, G. Franceschetti, “On the degrees of freedom of scattered fields,” IEEE Trans. Antennas Propag. 37, 918–926 (1989).

[CrossRef]

M. Abramowitz, I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).

M. Bertero, “Linear inverse and ill-posed problems,” Adv. Electron. Electron Phys. 75, 1–120 (1989).

[CrossRef]

J. C. Bolomey, “Recent European developments in active microwave imaging for industrial, scientific, and medical applications,” IEEE Trans. Microwave Theory Tech. 37, 2109–2117 (1991).

[CrossRef]

W. C. Chew, Y. M. Wang, G. Otto, D. Lesselier, J. Ch. Bolomey, “On the inverse source method of solving inverse scattering problems,” Inverse Probl. 10, 547–553 (1994).

[CrossRef]

G. Breglio, O. M. Bucci, A. Cutolo, R. Massa, G. Panariello, “Electro-optical sensing of GHz electromagnetic fields,” in Proceedings of International Conference on Electromagnetics in Advanced Applications 1997 (Politecnico di Torino, Torino, Italy, 1997), pp. 499–502.

O. M. Bucci, T. Isernia, “Electromagnetic inverse scattering: retrievable information and measurement strategies,” Radio Sci. 32, 2123–2138 (1997).

[CrossRef]

O. M. Bucci, G. Franceschetti, “On the degrees of freedom of scattered fields,” IEEE Trans. Antennas Propag. 37, 918–926 (1989).

[CrossRef]

G. Breglio, O. M. Bucci, A. Cutolo, R. Massa, G. Panariello, “Electro-optical sensing of GHz electromagnetic fields,” in Proceedings of International Conference on Electromagnetics in Advanced Applications 1997 (Politecnico di Torino, Torino, Italy, 1997), pp. 499–502.

F. N. Kong, T. L. By, “Performance of a GPR system which uses step frequency signals,” J. Appl. Geophys. 33, 15–26 (1995).

[CrossRef]

P. M. Meaney, K. D. Paulsen, J. T. Chang, “Near-field microwave imaging of biologically-based materials using a monopole transceiver system,” IEEE Trans. Microwave Theory Tech. 46, 31–45 (1998).

[CrossRef]

W. C. Chew, J. H. Lin, “A frequency-hopping approach for microwave imaging of large inhomogeneous bodies,” IEEE Microwave Guid. Wave Lett. 5, 439–441 (1995).

[CrossRef]

W. C. Chew, Y. M. Wang, G. Otto, D. Lesselier, J. Ch. Bolomey, “On the inverse source method of solving inverse scattering problems,” Inverse Probl. 10, 547–553 (1994).

[CrossRef]

W. C. Chew, Y. M. Wang, “Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method,” IEEE Trans. Med. Imaging 9, 218–225 (1990).

[CrossRef]
[PubMed]

G. Breglio, O. M. Bucci, A. Cutolo, R. Massa, G. Panariello, “Electro-optical sensing of GHz electromagnetic fields,” in Proceedings of International Conference on Electromagnetics in Advanced Applications 1997 (Politecnico di Torino, Torino, Italy, 1997), pp. 499–502.

D. J. Daniels, “Surface penetrating radar,” Electron. Commun. Eng. J. 8, 165–182 (1996).

[CrossRef]

O. M. Bucci, G. Franceschetti, “On the degrees of freedom of scattered fields,” IEEE Trans. Antennas Propag. 37, 918–926 (1989).

[CrossRef]

I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series and Products, A. Jeffrey, ed. (Academic, London, 1997).

T. M. Habashy, R. W. Groom, B. P. Spies, “Beyond the Born and Rytov approximations: a nonlinear approach to electromagnetic scattering,” J. Geophys. Res. 98, 1759–1775 (1993).

[CrossRef]

T. M. Habashy, R. W. Groom, B. P. Spies, “Beyond the Born and Rytov approximations: a nonlinear approach to electromagnetic scattering,” J. Geophys. Res. 98, 1759–1775 (1993).

[CrossRef]

O. M. Bucci, T. Isernia, “Electromagnetic inverse scattering: retrievable information and measurement strategies,” Radio Sci. 32, 2123–2138 (1997).

[CrossRef]

T. Isernia, V. Pascazio, R. Pierri, “A nonlinear estimation method in tomographic imaging,” IEEE Trans. Geosci. Remote Sens. 35, 910–923 (1997).

[CrossRef]

T. Isernia, G. Leone, R. Pierri, F. Soldovieri, “On the local minima problem in phase reconstruction algorithms,” Radio Sci. 31, 1887–1899 (1996).

[CrossRef]

F. N. Kong, T. L. By, “Performance of a GPR system which uses step frequency signals,” J. Appl. Geophys. 33, 15–26 (1995).

[CrossRef]

T. Isernia, G. Leone, R. Pierri, F. Soldovieri, “On the local minima problem in phase reconstruction algorithms,” Radio Sci. 31, 1887–1899 (1996).

[CrossRef]

W. C. Chew, Y. M. Wang, G. Otto, D. Lesselier, J. Ch. Bolomey, “On the inverse source method of solving inverse scattering problems,” Inverse Probl. 10, 547–553 (1994).

[CrossRef]

W. Liang, “A probe for making near-field measurement with minimal disturbance: the optically modulated scatterer,” IEEE Trans. Antennas Propag. 45, 772–779 (1997).

[CrossRef]

W. C. Chew, J. H. Lin, “A frequency-hopping approach for microwave imaging of large inhomogeneous bodies,” IEEE Microwave Guid. Wave Lett. 5, 439–441 (1995).

[CrossRef]

G. Breglio, O. M. Bucci, A. Cutolo, R. Massa, G. Panariello, “Electro-optical sensing of GHz electromagnetic fields,” in Proceedings of International Conference on Electromagnetics in Advanced Applications 1997 (Politecnico di Torino, Torino, Italy, 1997), pp. 499–502.

P. M. Meaney, K. D. Paulsen, J. T. Chang, “Near-field microwave imaging of biologically-based materials using a monopole transceiver system,” IEEE Trans. Microwave Theory Tech. 46, 31–45 (1998).

[CrossRef]

W. C. Chew, Y. M. Wang, G. Otto, D. Lesselier, J. Ch. Bolomey, “On the inverse source method of solving inverse scattering problems,” Inverse Probl. 10, 547–553 (1994).

[CrossRef]

G. Breglio, O. M. Bucci, A. Cutolo, R. Massa, G. Panariello, “Electro-optical sensing of GHz electromagnetic fields,” in Proceedings of International Conference on Electromagnetics in Advanced Applications 1997 (Politecnico di Torino, Torino, Italy, 1997), pp. 499–502.

T. Isernia, V. Pascazio, R. Pierri, “A nonlinear estimation method in tomographic imaging,” IEEE Trans. Geosci. Remote Sens. 35, 910–923 (1997).

[CrossRef]

P. M. Meaney, K. D. Paulsen, J. T. Chang, “Near-field microwave imaging of biologically-based materials using a monopole transceiver system,” IEEE Trans. Microwave Theory Tech. 46, 31–45 (1998).

[CrossRef]

T. Isernia, V. Pascazio, R. Pierri, “A nonlinear estimation method in tomographic imaging,” IEEE Trans. Geosci. Remote Sens. 35, 910–923 (1997).

[CrossRef]

R. Pierri, A. Brancaccio, “Imaging of a rotationally symmetric dielectric cylinder by a quadratic approach,” J. Opt. Soc. Am. A 14, 2777–2785 (1997).

[CrossRef]

T. Isernia, G. Leone, R. Pierri, F. Soldovieri, “On the local minima problem in phase reconstruction algorithms,” Radio Sci. 31, 1887–1899 (1996).

[CrossRef]

I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series and Products, A. Jeffrey, ed. (Academic, London, 1997).

T. Isernia, G. Leone, R. Pierri, F. Soldovieri, “On the local minima problem in phase reconstruction algorithms,” Radio Sci. 31, 1887–1899 (1996).

[CrossRef]

T. M. Habashy, R. W. Groom, B. P. Spies, “Beyond the Born and Rytov approximations: a nonlinear approach to electromagnetic scattering,” J. Geophys. Res. 98, 1759–1775 (1993).

[CrossRef]

M. Abramowitz, I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).

W. C. Chew, Y. M. Wang, G. Otto, D. Lesselier, J. Ch. Bolomey, “On the inverse source method of solving inverse scattering problems,” Inverse Probl. 10, 547–553 (1994).

[CrossRef]

W. C. Chew, Y. M. Wang, “Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method,” IEEE Trans. Med. Imaging 9, 218–225 (1990).

[CrossRef]
[PubMed]

M. Bertero, “Linear inverse and ill-posed problems,” Adv. Electron. Electron Phys. 75, 1–120 (1989).

[CrossRef]

D. J. Daniels, “Surface penetrating radar,” Electron. Commun. Eng. J. 8, 165–182 (1996).

[CrossRef]

W. C. Chew, J. H. Lin, “A frequency-hopping approach for microwave imaging of large inhomogeneous bodies,” IEEE Microwave Guid. Wave Lett. 5, 439–441 (1995).

[CrossRef]

W. Liang, “A probe for making near-field measurement with minimal disturbance: the optically modulated scatterer,” IEEE Trans. Antennas Propag. 45, 772–779 (1997).

[CrossRef]

O. M. Bucci, G. Franceschetti, “On the degrees of freedom of scattered fields,” IEEE Trans. Antennas Propag. 37, 918–926 (1989).

[CrossRef]

T. Isernia, V. Pascazio, R. Pierri, “A nonlinear estimation method in tomographic imaging,” IEEE Trans. Geosci. Remote Sens. 35, 910–923 (1997).

[CrossRef]

W. C. Chew, Y. M. Wang, “Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method,” IEEE Trans. Med. Imaging 9, 218–225 (1990).

[CrossRef]
[PubMed]

J. C. Bolomey, “Recent European developments in active microwave imaging for industrial, scientific, and medical applications,” IEEE Trans. Microwave Theory Tech. 37, 2109–2117 (1991).

[CrossRef]

P. M. Meaney, K. D. Paulsen, J. T. Chang, “Near-field microwave imaging of biologically-based materials using a monopole transceiver system,” IEEE Trans. Microwave Theory Tech. 46, 31–45 (1998).

[CrossRef]

W. C. Chew, Y. M. Wang, G. Otto, D. Lesselier, J. Ch. Bolomey, “On the inverse source method of solving inverse scattering problems,” Inverse Probl. 10, 547–553 (1994).

[CrossRef]

F. N. Kong, T. L. By, “Performance of a GPR system which uses step frequency signals,” J. Appl. Geophys. 33, 15–26 (1995).

[CrossRef]

T. M. Habashy, R. W. Groom, B. P. Spies, “Beyond the Born and Rytov approximations: a nonlinear approach to electromagnetic scattering,” J. Geophys. Res. 98, 1759–1775 (1993).

[CrossRef]

O. M. Bucci, T. Isernia, “Electromagnetic inverse scattering: retrievable information and measurement strategies,” Radio Sci. 32, 2123–2138 (1997).

[CrossRef]

T. Isernia, G. Leone, R. Pierri, F. Soldovieri, “On the local minima problem in phase reconstruction algorithms,” Radio Sci. 31, 1887–1899 (1996).

[CrossRef]

G. Breglio, O. M. Bucci, A. Cutolo, R. Massa, G. Panariello, “Electro-optical sensing of GHz electromagnetic fields,” in Proceedings of International Conference on Electromagnetics in Advanced Applications 1997 (Politecnico di Torino, Torino, Italy, 1997), pp. 499–502.

This is equivalent to assuming that the actual field in a given point depends mainly on the incident field in that point, or, alternatively, that the value of the incident field in a given point affects only values of E in the points nearby.

I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series and Products, A. Jeffrey, ed. (Academic, London, 1997).

M. Abramowitz, I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).