A quadratic model for inverse profiling: the one-dimensional case

References

• Colton , D. and Kress , R. 1992 . Inverse Acoustic and Electromagnetic Scattering Theory , Berlin : Springer-Verlag .
   Google Scholar
• Tikhonov , A. N. and Goncharsky , A. V. , eds. 1987 . Ill-Posed Problems in the Natural Sciences , Moscow : MIR Publishers .
   Google Scholar
• Colton , D. and Päivärinta , L. 1992 . The Uniqueness of a Solution to an Inverse Scat- tering Problem for Electromagnetic Waves . Arch. Rational Mech. Anal. , 119 : 59 – 70 .
   Web of Science ®Google Scholar
• Glasko , V. B. 1988 . Inverse Problems of Mathematical Physics , New York : American Institute of Physics Translation Series .
   Google Scholar
• Muller , R. K. , Kaveh , M. and Wade , G. 1979 . Reconstruction tomography and applica- tion to ultrasonics . Proc. IEEE , 67 ( No. 4 ) : 567 – 587 .
   Google Scholar
• Devaney , A. J. 1983 . A computer simulation study of diffraction tomography . IEEE Trans. Biomed. Eng , BME-30 ( No. 7 ) : 377 – 386 .
   Google Scholar
• Xia , J. , Jordan , A. K. and Kong , J. A. 1994 . Electromagnetic inverse-scattering theory for inhomogeneous dielectrics: the local reflection model . J. Opt. Soc. Am. A , 11 ( No. 3 ) : 1081 – 1086 .
   Google Scholar
• Kim , Y. , Cho , N. and Yaggard , D. L. 1990 . Time-domain inverse scattering using a nonlinear renormalization technique . J. Electromagnetic Waves and Applic. , 4 ( No. 2 ) : 99 – 111 .
   Google Scholar
• Kleinman , R. E. and van den Berg , P. M. 1993 . An extended modified gradient technique for profile inversion . Radio Science , 28 ( No. 5 ) : 877 – 884 .
   Google Scholar
• Joachimowitz , N. , Pichot , Ch. and Hugonin , J. P. 1991 . Inverse scattering: an iterative numerical method for electromagnetic imaging . IEEE Trans. Ant. Propagat. , AP-39 ( No. 12 ) : 1742 – 1752 .
   Google Scholar
• Chew , W. C. and Wang , Y. M. 1990 . Reconstruction of two dimensional permittivity using the distorted Born iterative method . IEEE Trans. Med. Imaging , MI-9 ( No. 2 ) : 218 – 225 .
   Google Scholar
• Brancaccio , A. , Pascazio , V. and Pierri , R. Oct. 1993 . “ Reconstruction of dielectric profiles: a new approach as a quadratic inverse problem ” . In Proc. of IEEE URSI Microwaves in Medicine Oct. , 271 – 274 . Rome (Italy)
   Google Scholar
• Devaney , A. J. and Wolf , E. 1982 . A new perturbation expansion for inverse scattering from three-dimensional finite range potentials . Phys. Letts. , 89A ( No. 6 ) : 269 – 272 .
   Google Scholar
• Isernia , T. , Leone , G. and Pierri , R. 1992 . A new approach to antenna testing from near field phaseless data: the cylindrical scanning . IEE Proc. Pt. H , 139 ( No. 4 ) : 363 – 368 .
   Google Scholar
• Isernia , T. , Leone , G. and Pierri , R. 1994 . Phaseless near-field techniques: formulation of the problem and field properties . J. Electromagnetic Waves and Applic. , 8 ( No. 7 ) : 871 – 888 .
   Google Scholar
• Isernia , T. , Leone , G. and Pierri , R. 1994 . Phaseless near-field techniques: uniqueness conditions and attainment of the solution . J. Electromagnetic Waves and Applic. , 8 ( No. 7 ) : 889 – 908 .
   Google Scholar
• Brancaccio , A. , Isernia , T. , Pascazio , V. and Pierri , R. Sept 1994 . “ A new approach to the non- linear inverse scattering ” . In Proc. of X RiNEm (X Italian Symposyum on Electromagnetics) Sept , 127 – 130 . Cesena , , Italy in Italian
   Google Scholar
• Pichot , Ch. , Jofre , L. , Peronnet , G. and Ch. Bolomey , J. 1985 . Active microwave imaging of inhomogeneous bodies . IEEE Trans. Antennas Propagat. , AP-33 ( No. 4 ) : 416 – 425 .
   Google Scholar
• Kleinman , R. E. , Roach , G. F. and van den Berg , P. M. 1990 . Convergent Born series for large refractive indices . J. Opt. Soc. Am. A , 7 ( No. 5 ) : 890 – 897 .
   Google Scholar
• Press , W. H. , Flannery , B. P. , Teukolsky , S. A. and Vetterling , W. T. 1987 . Numerical Recipes , Cambridge : Cambridge University Press .
   Google Scholar
• Golub , G. H. and Van Loan , C. F. 1989 . Matrix Computation , Baltimore : The John Hopkins University Press .
   Google Scholar
• Bertero , M. 1989 . “ Linear inverse and Ill-posed problems ” . In Advances in Electronics and Electronic Physic , 1 – 120 . London : Academic Press .
   Google Scholar