G. Leone, R. Persico, R. Pierri, “Inverse scattering under the distorted Born approximation for cylindrical geometries,” J. Opt. Soc. Am. A 16, 1779–1787 (1999).

[CrossRef]

L. Zeni, R. Bernini, R. Pierri, “Reconstruction of doping profiles in semiconductor materials using optical tomography,” Solid-State Electron. 43, 761–769 (1999).

[CrossRef]

B. Chen, J. J Stamnes, “Validity of diffraction tomography based on the first Born and first Rytov approximations,” Appl. Opt. 37, 2996–3006 (1998).

[CrossRef]

A. Brancaccio, G. Leone, R. Pierri, “Information content of Born scattered fields: results in the circular cylindrical case,” J. Opt. Soc. Am. A 15, 1909–1917 (1998).

[CrossRef]

R. Pierri, F. Soldovieri, “On the information content of the radiated fields in near zone over bounded domains,” Inverse Probl. 14, 321–337 (1998).

[CrossRef]

T. A. Dickens, G. A. Winbow, “Spatial resolution of diffraction tomography,” J. Acoust. Soc. Am. 101, 77–86 (1997).

[CrossRef]

R. Pierri, A. Tamburrino, “On the local minima problem in conductivity imaging via a quadratic approach,” Inverse Probl. 13, 1547–1568 (1997).

[CrossRef]

I. Akduman, M. Idemen, “On the use of Gaussian beams in one-dimensional profile inversion connected with lossy dielectric slabs,” Inverse Probl. 11, 315–328 (1995).

[CrossRef]

A. V. Tikhonravov, M. V. Klibanov, I. V. Zuev, “Numerical study of the phaseless inverse scattering problem in thin-film optics,” Inverse Probl. 11, 251–270 (1995).

[CrossRef]

T. C. Wedberg, J. J. Stamnes, “Experimental examination of the quantitative imaging properties of optical diffraction tomography,” J. Opt. Soc. Am. A 12, 493–500 (1995).

[CrossRef]

A. G. Tijhuis, “Born-type reconstruction of material parameters of an inhomogeneous lossy dielectric slab from reflected-field data,” Wave Motion 11, 151–173 (1989).

[CrossRef]

M. Idemen, “On different possibilities offered by the Born approximation in inverse scattering problems,” Inverse Probl. 5, 1057–1074 (1989).

[CrossRef]

M. Slaney, A. C. Kak, L. E. Larsen, “Limitations of imaging with first order diffraction tomography,” IEEE Trans. Microwave Theory Tech. MTT-32, 860–874 (1984).

[CrossRef]

M. Bertero, G. A. Viano, F. Pasqualetti, L. Ronchi, G. Toraldo di Francia, “The inverse scattering problem in the Born approximation and the number of degrees of freedom,” Opt. Acta 27, 1011–1024 (1980).

[CrossRef]

G. Toraldo di Francia, “Degrees of freedom of an image,” J. Opt. Soc. Am. A 59, 799–804 (1969).

[CrossRef]

H. J. Landau, “Sampling, data transmission, and the Nyquist rate,” Proc. IEEE 55, 1701–1706 (1967).

[CrossRef]

H. J. Landau, H. O. Pollack, “Prolate spheroidal wavefunctions, Fourier analysis and uncertainty. III. The dimension of the space of time- and band-limited signals,” Bell Syst. Tech. J. 41, 1295–1336 (1962).

[CrossRef]

D. Slepian, H. O. Pollack, “Prolate spheroidal wavefunctions, Fourier analysis and uncertainty. I,” Bell Syst. Tech. J. 40, 43–64 (1961).

[CrossRef]

I. Akduman, M. Idemen, “On the use of Gaussian beams in one-dimensional profile inversion connected with lossy dielectric slabs,” Inverse Probl. 11, 315–328 (1995).

[CrossRef]

L. Zeni, R. Bernini, R. Pierri, “Reconstruction of doping profiles in semiconductor materials using optical tomography,” Solid-State Electron. 43, 761–769 (1999).

[CrossRef]

R. Pierri, G. Leone, R. Bernini, R. Persico, “Tomografic inversion algorithms for permittivity reconstruction in subsurface prospection,” (presented at the 7th International Conference on Ground-Penetrating Radar, Lawrence, Kans., May 27–30, 1998.

M. Bertero, G. A. Viano, F. Pasqualetti, L. Ronchi, G. Toraldo di Francia, “The inverse scattering problem in the Born approximation and the number of degrees of freedom,” Opt. Acta 27, 1011–1024 (1980).

[CrossRef]

M. Bertero, “Linear inverse and ill-posed problems,” in Advances in Electronics and Electronic Physics, P. H. Hawkes, ed. (Academic, New York, 1989), Vol. 75, pp. 1–121.

A. Brancaccio, G. Leone, R. Pierri, “Information content of Born scattered fields: results in the circular cylindrical case,” J. Opt. Soc. Am. A 15, 1909–1917 (1998).

[CrossRef]

R. Pierri, F. De Blasio, A. Brancaccio, “Multifrequency approach to inverse scattering: the linear and the quadratic models,” presented at the International Geoscience and Remote Sensing Symposium, Hamburg, Germany, June 28–July 2, 1999.

W. C. Chew, Waves and Fields in Inhomogeneous Media (IEEE Press, New York, 1995).

D. Colton, R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory (Springer-Verlag, Berlin, 1992).

R. Pierri, F. De Blasio, A. Brancaccio, “Multifrequency approach to inverse scattering: the linear and the quadratic models,” presented at the International Geoscience and Remote Sensing Symposium, Hamburg, Germany, June 28–July 2, 1999.

A. J. Devaney, “Current research topics in diffraction tomography,” in Inverse Problems in Scattering and Imaging, M. Bertero, E. R. Pike, eds. (Hilger, Bristol, UK, 1992), pp. 47–58.

T. A. Dickens, G. A. Winbow, “Spatial resolution of diffraction tomography,” J. Acoust. Soc. Am. 101, 77–86 (1997).

[CrossRef]

D. Lesselier, B. Duchene, “Wavefield inversion of objects in stratified environments: from back-propagation schemes to full solutions,” in Review of Radio Science 1993–1996, R. Stone, ed. (Oxford U. Press, New York, 1996), pp. 235–268.

M. A. Fiddy, “Linearized and approximate methods for inversion of scattered field data,” in Inverse Problems in Scattering and Imaging, M. Bertero, E. R. Pike, eds. (Hilger, Bristol, UK, 1992), pp. 23–46.

I. Akduman, M. Idemen, “On the use of Gaussian beams in one-dimensional profile inversion connected with lossy dielectric slabs,” Inverse Probl. 11, 315–328 (1995).

[CrossRef]

M. Idemen, “On different possibilities offered by the Born approximation in inverse scattering problems,” Inverse Probl. 5, 1057–1074 (1989).

[CrossRef]

M. Slaney, A. C. Kak, L. E. Larsen, “Limitations of imaging with first order diffraction tomography,” IEEE Trans. Microwave Theory Tech. MTT-32, 860–874 (1984).

[CrossRef]

P. M. Van Den Berg, R. E. Kleinman, “Gradient methods in inverse acoustic and electromagnetic scattering,” in Large-Scale Optimization with Applications, L. T. Bigler, T. F. Coleman, A. R. Conn, F. N. Santosa, eds. (Springer-Verlag, New York, 1997), Part I, pp. 173–194.

A. V. Tikhonravov, M. V. Klibanov, I. V. Zuev, “Numerical study of the phaseless inverse scattering problem in thin-film optics,” Inverse Probl. 11, 251–270 (1995).

[CrossRef]

D. Colton, R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory (Springer-Verlag, Berlin, 1992).

H. J. Landau, “Sampling, data transmission, and the Nyquist rate,” Proc. IEEE 55, 1701–1706 (1967).

[CrossRef]

H. J. Landau, H. O. Pollack, “Prolate spheroidal wavefunctions, Fourier analysis and uncertainty. III. The dimension of the space of time- and band-limited signals,” Bell Syst. Tech. J. 41, 1295–1336 (1962).

[CrossRef]

L. Landau, E. Lifchitz, Electrodynamique des Milieux Continus (Mir, Moscow, 1969).

M. Slaney, A. C. Kak, L. E. Larsen, “Limitations of imaging with first order diffraction tomography,” IEEE Trans. Microwave Theory Tech. MTT-32, 860–874 (1984).

[CrossRef]

G. Leone, R. Persico, R. Pierri, “Inverse scattering under the distorted Born approximation for cylindrical geometries,” J. Opt. Soc. Am. A 16, 1779–1787 (1999).

[CrossRef]

A. Brancaccio, G. Leone, R. Pierri, “Information content of Born scattered fields: results in the circular cylindrical case,” J. Opt. Soc. Am. A 15, 1909–1917 (1998).

[CrossRef]

R. Pierri, G. Leone, R. Bernini, R. Persico, “Tomografic inversion algorithms for permittivity reconstruction in subsurface prospection,” (presented at the 7th International Conference on Ground-Penetrating Radar, Lawrence, Kans., May 27–30, 1998.

D. Lesselier, B. Duchene, “Wavefield inversion of objects in stratified environments: from back-propagation schemes to full solutions,” in Review of Radio Science 1993–1996, R. Stone, ed. (Oxford U. Press, New York, 1996), pp. 235–268.

L. Landau, E. Lifchitz, Electrodynamique des Milieux Continus (Mir, Moscow, 1969).

M. Bertero, G. A. Viano, F. Pasqualetti, L. Ronchi, G. Toraldo di Francia, “The inverse scattering problem in the Born approximation and the number of degrees of freedom,” Opt. Acta 27, 1011–1024 (1980).

[CrossRef]

G. Leone, R. Persico, R. Pierri, “Inverse scattering under the distorted Born approximation for cylindrical geometries,” J. Opt. Soc. Am. A 16, 1779–1787 (1999).

[CrossRef]

R. Pierri, G. Leone, R. Bernini, R. Persico, “Tomografic inversion algorithms for permittivity reconstruction in subsurface prospection,” (presented at the 7th International Conference on Ground-Penetrating Radar, Lawrence, Kans., May 27–30, 1998.

G. Leone, R. Persico, R. Pierri, “Inverse scattering under the distorted Born approximation for cylindrical geometries,” J. Opt. Soc. Am. A 16, 1779–1787 (1999).

[CrossRef]

L. Zeni, R. Bernini, R. Pierri, “Reconstruction of doping profiles in semiconductor materials using optical tomography,” Solid-State Electron. 43, 761–769 (1999).

[CrossRef]

A. Brancaccio, G. Leone, R. Pierri, “Information content of Born scattered fields: results in the circular cylindrical case,” J. Opt. Soc. Am. A 15, 1909–1917 (1998).

[CrossRef]

R. Pierri, F. Soldovieri, “On the information content of the radiated fields in near zone over bounded domains,” Inverse Probl. 14, 321–337 (1998).

[CrossRef]

R. Pierri, A. Tamburrino, “On the local minima problem in conductivity imaging via a quadratic approach,” Inverse Probl. 13, 1547–1568 (1997).

[CrossRef]

R. Pierri, G. Leone, R. Bernini, R. Persico, “Tomografic inversion algorithms for permittivity reconstruction in subsurface prospection,” (presented at the 7th International Conference on Ground-Penetrating Radar, Lawrence, Kans., May 27–30, 1998.

R. Pierri, F. De Blasio, A. Brancaccio, “Multifrequency approach to inverse scattering: the linear and the quadratic models,” presented at the International Geoscience and Remote Sensing Symposium, Hamburg, Germany, June 28–July 2, 1999.

H. J. Landau, H. O. Pollack, “Prolate spheroidal wavefunctions, Fourier analysis and uncertainty. III. The dimension of the space of time- and band-limited signals,” Bell Syst. Tech. J. 41, 1295–1336 (1962).

[CrossRef]

D. Slepian, H. O. Pollack, “Prolate spheroidal wavefunctions, Fourier analysis and uncertainty. I,” Bell Syst. Tech. J. 40, 43–64 (1961).

[CrossRef]

M. Bertero, G. A. Viano, F. Pasqualetti, L. Ronchi, G. Toraldo di Francia, “The inverse scattering problem in the Born approximation and the number of degrees of freedom,” Opt. Acta 27, 1011–1024 (1980).

[CrossRef]

M. Slaney, A. C. Kak, L. E. Larsen, “Limitations of imaging with first order diffraction tomography,” IEEE Trans. Microwave Theory Tech. MTT-32, 860–874 (1984).

[CrossRef]

D. Slepian, H. O. Pollack, “Prolate spheroidal wavefunctions, Fourier analysis and uncertainty. I,” Bell Syst. Tech. J. 40, 43–64 (1961).

[CrossRef]

R. Pierri, F. Soldovieri, “On the information content of the radiated fields in near zone over bounded domains,” Inverse Probl. 14, 321–337 (1998).

[CrossRef]

R. Pierri, A. Tamburrino, “On the local minima problem in conductivity imaging via a quadratic approach,” Inverse Probl. 13, 1547–1568 (1997).

[CrossRef]

A. G. Tijhuis, “Born-type reconstruction of material parameters of an inhomogeneous lossy dielectric slab from reflected-field data,” Wave Motion 11, 151–173 (1989).

[CrossRef]

A. G. Tijhuis, Electromagnetic Inverse Profiling: Theory and Numerical Implementation (VNU Science, Utrecht, The Netherlands, 1987).

A. V. Tikhonravov, M. V. Klibanov, I. V. Zuev, “Numerical study of the phaseless inverse scattering problem in thin-film optics,” Inverse Probl. 11, 251–270 (1995).

[CrossRef]

M. Bertero, G. A. Viano, F. Pasqualetti, L. Ronchi, G. Toraldo di Francia, “The inverse scattering problem in the Born approximation and the number of degrees of freedom,” Opt. Acta 27, 1011–1024 (1980).

[CrossRef]

G. Toraldo di Francia, “Degrees of freedom of an image,” J. Opt. Soc. Am. A 59, 799–804 (1969).

[CrossRef]

P. M. Van Den Berg, R. E. Kleinman, “Gradient methods in inverse acoustic and electromagnetic scattering,” in Large-Scale Optimization with Applications, L. T. Bigler, T. F. Coleman, A. R. Conn, F. N. Santosa, eds. (Springer-Verlag, New York, 1997), Part I, pp. 173–194.

M. Bertero, G. A. Viano, F. Pasqualetti, L. Ronchi, G. Toraldo di Francia, “The inverse scattering problem in the Born approximation and the number of degrees of freedom,” Opt. Acta 27, 1011–1024 (1980).

[CrossRef]

T. A. Dickens, G. A. Winbow, “Spatial resolution of diffraction tomography,” J. Acoust. Soc. Am. 101, 77–86 (1997).

[CrossRef]

L. Zeni, R. Bernini, R. Pierri, “Reconstruction of doping profiles in semiconductor materials using optical tomography,” Solid-State Electron. 43, 761–769 (1999).

[CrossRef]

A. V. Tikhonravov, M. V. Klibanov, I. V. Zuev, “Numerical study of the phaseless inverse scattering problem in thin-film optics,” Inverse Probl. 11, 251–270 (1995).

[CrossRef]

D. Slepian, H. O. Pollack, “Prolate spheroidal wavefunctions, Fourier analysis and uncertainty. I,” Bell Syst. Tech. J. 40, 43–64 (1961).

[CrossRef]

H. J. Landau, H. O. Pollack, “Prolate spheroidal wavefunctions, Fourier analysis and uncertainty. III. The dimension of the space of time- and band-limited signals,” Bell Syst. Tech. J. 41, 1295–1336 (1962).

[CrossRef]

M. Slaney, A. C. Kak, L. E. Larsen, “Limitations of imaging with first order diffraction tomography,” IEEE Trans. Microwave Theory Tech. MTT-32, 860–874 (1984).

[CrossRef]

M. Idemen, “On different possibilities offered by the Born approximation in inverse scattering problems,” Inverse Probl. 5, 1057–1074 (1989).

[CrossRef]

R. Pierri, F. Soldovieri, “On the information content of the radiated fields in near zone over bounded domains,” Inverse Probl. 14, 321–337 (1998).

[CrossRef]

A. V. Tikhonravov, M. V. Klibanov, I. V. Zuev, “Numerical study of the phaseless inverse scattering problem in thin-film optics,” Inverse Probl. 11, 251–270 (1995).

[CrossRef]

R. Pierri, A. Tamburrino, “On the local minima problem in conductivity imaging via a quadratic approach,” Inverse Probl. 13, 1547–1568 (1997).

[CrossRef]

I. Akduman, M. Idemen, “On the use of Gaussian beams in one-dimensional profile inversion connected with lossy dielectric slabs,” Inverse Probl. 11, 315–328 (1995).

[CrossRef]

T. A. Dickens, G. A. Winbow, “Spatial resolution of diffraction tomography,” J. Acoust. Soc. Am. 101, 77–86 (1997).

[CrossRef]

T. C. Wedberg, J. J. Stamnes, “Experimental examination of the quantitative imaging properties of optical diffraction tomography,” J. Opt. Soc. Am. A 12, 493–500 (1995).

[CrossRef]

G. Leone, R. Persico, R. Pierri, “Inverse scattering under the distorted Born approximation for cylindrical geometries,” J. Opt. Soc. Am. A 16, 1779–1787 (1999).

[CrossRef]

A. Brancaccio, G. Leone, R. Pierri, “Information content of Born scattered fields: results in the circular cylindrical case,” J. Opt. Soc. Am. A 15, 1909–1917 (1998).

[CrossRef]

T. J. Cui, C. H. Liang, “Direct profile inversion for a half-space weakly lossy medium,” J. Opt. Soc. Am. A 10, 1950–1952 (1993).

[CrossRef]

G. Toraldo di Francia, “Degrees of freedom of an image,” J. Opt. Soc. Am. A 59, 799–804 (1969).

[CrossRef]

M. Bertero, G. A. Viano, F. Pasqualetti, L. Ronchi, G. Toraldo di Francia, “The inverse scattering problem in the Born approximation and the number of degrees of freedom,” Opt. Acta 27, 1011–1024 (1980).

[CrossRef]

H. J. Landau, “Sampling, data transmission, and the Nyquist rate,” Proc. IEEE 55, 1701–1706 (1967).

[CrossRef]

L. Zeni, R. Bernini, R. Pierri, “Reconstruction of doping profiles in semiconductor materials using optical tomography,” Solid-State Electron. 43, 761–769 (1999).

[CrossRef]

A. G. Tijhuis, “Born-type reconstruction of material parameters of an inhomogeneous lossy dielectric slab from reflected-field data,” Wave Motion 11, 151–173 (1989).

[CrossRef]

M. Bertero, “Linear inverse and ill-posed problems,” in Advances in Electronics and Electronic Physics, P. H. Hawkes, ed. (Academic, New York, 1989), Vol. 75, pp. 1–121.

A. J. Devaney, “Current research topics in diffraction tomography,” in Inverse Problems in Scattering and Imaging, M. Bertero, E. R. Pike, eds. (Hilger, Bristol, UK, 1992), pp. 47–58.

P. M. Van Den Berg, R. E. Kleinman, “Gradient methods in inverse acoustic and electromagnetic scattering,” in Large-Scale Optimization with Applications, L. T. Bigler, T. F. Coleman, A. R. Conn, F. N. Santosa, eds. (Springer-Verlag, New York, 1997), Part I, pp. 173–194.

M. A. Fiddy, “Linearized and approximate methods for inversion of scattered field data,” in Inverse Problems in Scattering and Imaging, M. Bertero, E. R. Pike, eds. (Hilger, Bristol, UK, 1992), pp. 23–46.

D. Colton, R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory (Springer-Verlag, Berlin, 1992).

W. C. Chew, Waves and Fields in Inhomogeneous Media (IEEE Press, New York, 1995).

D. Lesselier, B. Duchene, “Wavefield inversion of objects in stratified environments: from back-propagation schemes to full solutions,” in Review of Radio Science 1993–1996, R. Stone, ed. (Oxford U. Press, New York, 1996), pp. 235–268.

R. Pierri, G. Leone, R. Bernini, R. Persico, “Tomografic inversion algorithms for permittivity reconstruction in subsurface prospection,” (presented at the 7th International Conference on Ground-Penetrating Radar, Lawrence, Kans., May 27–30, 1998.

A. G. Tijhuis, Electromagnetic Inverse Profiling: Theory and Numerical Implementation (VNU Science, Utrecht, The Netherlands, 1987).

L. Landau, E. Lifchitz, Electrodynamique des Milieux Continus (Mir, Moscow, 1969).

R. Pierri, F. De Blasio, A. Brancaccio, “Multifrequency approach to inverse scattering: the linear and the quadratic models,” presented at the International Geoscience and Remote Sensing Symposium, Hamburg, Germany, June 28–July 2, 1999.