40
Views
3
CrossRef citations to date
0
Altmetric
Articles

Phaseless near field techniques: formulation of the problem and field properties

, &
Pages 871-888 | Published online: 03 Apr 2012

References

  • Isernia , T. , Leone , G. and Pierri , R. 1994 . Phaseless near field techniques: uniqueness conditions and attainment of the solution . Journal of Electromagnetic Waves and Applications , 8 ( No. 7 ) : 889 – 908 .
  • Taylor , L. S. 1981 . The phase retrieval problem . IEEE Transactions on Antennas and Propagat. , AP-29 : 386 – 391 .
  • Tichonov , A. and Arsenine , V. 1977 . Solution of Ill Posed Problems , New York : Wiley .
  • Poulton , G. 1992 . “ Antenna applications of phase retrieval: a review ” . In Proc. of 1992 URSI International Symposium on Electromagnetic Theory Sydney , Australia
  • Ascione , G. , D'Elia , G. , Leone , G. and Pierri , R. 1985 . “ Preliminary results in antenna pattern determination from Fresnel field amplitude measurements ” . In Proc. of 14th European Microwave Conference Paris , France ; also in Advanced Antenna Technology, Vol. 2, ed. by P. Clarricoats, Microwave Exhibitions and Publishers, London, 1987
  • Anderson , A. P. and Sali , S. 1985 . New possibilities for phaseless microwave diagnostics. Part I:Error reduction techniques . IEE Proceedings Part H , 132 ( No. 5 ) : 291 – 298 .
  • Morris , D. 1985 . Phase retrieval in the radio holography of reflector antennas and radio telescopes . IEEE Transactions on Antennas and Propagat. , AP-33 : 749 – 755 .
  • McCormack , J. E. , Junkin , G. and Anderson , A. P. 1990 . Microwave metrology of reflector antennas from a single amplitude . IEE Proceedings Part H , 137 : 276 – 284 .
  • Bucci , O. M. , D'Elia , G. , Leone , G. and Pierri , R. 1990 . Far field pattern determination from the near field amplitude on two surfaces . IEEE Transactions on Antennas and Propagat. , AP-38 : 1772 – 1779 .
  • Misell , D. L. 1973 . A method for the solution of the phase problem in electron microscopy . Journal of Applied Physics, Part D , 6 : L6 – L9 .
  • Barakat , R. and Newsam , G. 1985 . Algorithms for reconstruction of partially known, bandlimited Fourier pairs from noisy data . Journal of the Optical Society of America, Part A , 2 : 2027 – 2039 .
  • Isernia , T. , Leone , G. and Pierri , R. 1990 . “ A quadratic inverse problem : the phase retrieval ” . In Inverse Methods in Action , Edited by: Sabatier , P. C. Berlin : Springer Verlag .
  • Bucci , O. M. and Franceschetti , G. 1989 . On the degrees of freedom of scattered fields . IEEE Transactions on Antennas and Propagat. , AP-37 : 918 – 926 .
  • Jerri , A. J. 1977 . The Shannon sampling theorem. A review . Proceedings IEEE , 65 ( No. 11 ) : 1565 – 1596 .
  • Ciulli , M. , Ciulli , S. and Spearman , T. D. 1990 . “ Weak-star compactness and its relevance to analyticity problems ” . In Rigorous Methods in Particle Physics , Edited by: Ciulli , S. , Scheck , F. and Thirring , W. Berlin : Springer Verlag .
  • Hille , V and Tamarkin , J. D. 1931 . On the characteristic values of linear integral equations . Acta Mathematica , 57 : 1 – 76 .
  • Taylor , A. E. and Lay , D. L. 1980 . Introduction to Functional Analysis , Malobar : Krieger .
  • Panofsky , W. and Philips , M. Classical electricity and magnetism , Addison Wesley . Reading, 1962
  • Abramovitz , M. and Stegun , I. 1970 . Handbook of Mathematical Functions , Boulder : NBS . AMS-55
  • Luenberger , D. G. 1969 . Optimization by Vector Space Methods , New York : Wiley .
  • Rudge , A. W. , Milne , K. , Olver , A. D. and Knight , P. , eds. The hanbook of antenna design , London : Peter Peregrinus .
  • Colton , D. and Kress , R. 1992 . Inverse Acoustic and Electromagnetic Scattering Theory , Berlin : Springer Verlag .
  • Isernia , T. , Leone , G. and Pierri , R. 1992 . “ On the essential dimensions of fields: a singular values approach ” . In Proc. of IX , Assisi , , Italy : National Meeting on Applied Electromagnetics . in Italian
  • Linz , P. 1979 . Theoretical Numerical Analysis , New York : John Wiley .
  • Bruck , Y. and Sodin , L. 1979 . On the ambiguity of the image reconstruction problem . Optics Communications , 30 : 305 – 310 .
  • Sabba Stefanescu , I. 1985 . On the phase retrieval problem in two dimensions . Journal of Mathematical Physics , 26 : 2141 – 2160 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.