Development of physical optics inverse scattering techniques using radon projection theory

  • Wolfgang -M. Boerner
Inverse Scattering Theory and Related Topics
Part of the Lecture Notes in Physics book series (LNP, volume 130)


Inverse Scattering Physical Optic Background Clutter Electromagnetic Scattering Radar Target 
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Footnotes and References

  1. [1]
    C.L. Bennett: “Inverse Scattering,” and “Time domain solutions via integral equations — surfaces and composite bodies,” Invited Papers, NATO Institute, Norwich University, England, July, 1979Google Scholar
  2. [2]
    W-M. Boerner: “Polarization utilization in electromagnetic inverse scattering,” UICC, Communications Laboratory Report 78-3 October 1978, UICC, SEO-1104Google Scholar
  3. [3]
    E.M. Kennaugh, R.L. Cosgriff: “The use of impulse response in electromagnetic scattering problems,” IRE National Convention Record, Part I, 72–77 (1958)Google Scholar
  4. [4]
    Yu.N. Barabanenkov, AA. Tolkachev, N.A. Aytkhozhin, O.K. Lesota: “Scattering of electromagnetic delta pulses by ideally conducting bodies of finite dimensions,” Radioteknika i Elektronika (USSR) 8, 1061–1063 (1963)Google Scholar
  5. [5]
    A. Freedman: “The portrayal of body shape by a sonar or radar system,” Radio Electr. Eng. 25, 51–64 (1963)Google Scholar
  6. [6]
    E.M. Kennaugh, D.L. Moffatt: “Transient and impulse response approximations,” IEEE Proc. 53 (8), 893–901 (1965)Google Scholar
  7. [7]
    J.B. Keller: “On the use of a short-pulse broad-band radar for target identification,” report, RCA, Moorestown, New Jersey, (February 17, 1965)Google Scholar
  8. [8]
    J.D. Young: “Target imagining from multiple-frequency radar returns,” ESL-OSU, Columbus, Ohio, Technical Report 2768-6, (June, 1971) (AD-728235). See also “Radar imaging from ramp response signatures,” IEEE Trans. AP-24, 276–282 (1976)Google Scholar
  9. [9]
    D.L. Moffatt, R.K. Mains: “Detection and discrimination of radar targets,rd IEEE Trans. AP-23, 358–367 (1975)Google Scholar
  10. [10]
    N.N. Bojarski: “Three-dimensional electromagnetic short pulse inverse scattering,” Syracuse University Research Corporation, Syracuse, New York, (February 1967)Google Scholar
  11. [11]
    R.M. Lewis: “Physical optics inverse diffraction,” IEEE Trans. AP-17, 308–314 (1969)Google Scholar
  12. [12]
    S. Rosenbaum-Raz: “On scatter reconstruction from far-field data (a bistatic generalization of BojarskiLewis' physical optics inverse scattering theory),” IEEE Trans. AP-24, 66–70 (1976)Google Scholar
  13. [13]
    R.E. Kell: “On the derivation of bistatic RCS from monostatic measurements,” Proc. IEEE 53, 983–988 (1965)Google Scholar
  14. [14]
    Y. Das and W.-M. Boerner: “On radar target shape estimation using algorithms for reconstruction from projections,” IEEE Trans. AP-26, 274–279 (1978). See also Y. Das: “Application of concepts of image reconstruction from projections and Radon transform theory to radar target identification,” Ph.D. thesis, University of Manitoba 1977; Y. Das, W.-M. Boerner: “Applications of algorithms for 3-D image reconstruction from 2-D projections to electromagnetic inverse scattering,” USNC/URSI Annual Meeting, Boulder, Colorado, October 20–23, 1975, Session III-7-7, p. 184Google Scholar
  15. [15]
    J. Radon: “Uber die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten (On the determination of functions from their integrals along certain manifolds),” Ber. sachs. Akad. Wiss. (Leipzig) Math. Phys. Klasse 69, 262–271 (1917)Google Scholar
  16. [16]
    D.L. Moffatt, J.D. Young: “A chronological history of radar target imagery at the Ohio State University,” Proceedings of the International IEEE-APS Symposium, Seattle, 1979, Vol. 1. pp. 244–247. See also ESLESU, Class Notes, Radar Target Identification, Vols. I and II, Department of Electrical Engineering, ElectroScience Laboratory, Ohio State University, (September, 1976)Google Scholar
  17. [17]
    W.-M. Boerner, C.-M. Ho: “Development of physical optics far field inverse scattering (POFFIS) and its limitations,” Proceedings of the International IEEE-APS Symposium, Seattle, 1979, Vol. 1, pp. 240–243Google Scholar
  18. [18]
    Contrary to some misleading information, after extensive historical surveys we are now certain that Prof. R. Lewis did not establish the above relationship as expressed in (7)–(11). See [2, p. 56, Chap. 5.3].Google Scholar
  19. [19]
    W.L. Perry: “On the Bojarski-Lewis inverse scattering theory,” IEEE Trans. AP-22, 826–829 (1974)Google Scholar
  20. [20]
    W.L. Perry: “Approximate solution of inverse problems with piecewise continuous solutions,” Radio Science 12(5), 637–642 (1977)Google Scholar
  21. [21]
    W. Tabbara: “On an inverse scattering method,” IEEE Trans. AP-21, 245–247 (1973)Google Scholar
  22. [22]
    W. Tabbara: “On the feasibility of an inverse scattering method,” IEEE Trans. AP-23, 446–448 (1975)Google Scholar
  23. [23]
    W.-M. Boerner, F.H. Vandenberghe: “Determination of the electrical radius ka of a spherical scatterer from the scattered field,” Can. J. Phys. 49, 1507–1535 (1971); “Determination of the electrical radius ka of a circular cylindrical scatterer from the scattered field;” ibid. 49, 804–819 (1971); “On the inverse problem of electromagnetic scattering by a perfectly conducting prolate spheroid,” 50, 754–759 (1972); “On the inverse problem of electromagnetic scattering by a perfectly conducting elliptic cylinder,” 50, 1987–1992 (1972)Google Scholar
  24. [24]
    W-M. Boerner, O.A. Aboul-Atta: “Properties of a determinant associated with inverse scattering in spherical coordinates,” Utilitas Mathematica 3, 163–273 (1973)Google Scholar
  25. [25]
    R.D. Mager, N. Bleistein: “An approach to the limited aperture problem of physical optics far field inverse scattering,” University of Denver Research Institute Report MS-R-7704 (1976) and IEEE Trans. AP-26, 695–699 (1978)Google Scholar
  26. [26]
    A. Majda: “A representation for the scattering operator and the inverse problem for arbitrary bodies,” Comm. Pure. Appl. Math 30. 165–194 (1977)Google Scholar
  27. [27]
    K.T. Smith, D.C. Solomon, S.L. Wagner: “Practical and mathematical aspects of the problem of reconstructing objects from radiographs,” Bull. Am. Math. Soc. 83(6), 1227–1270 (1977)Google Scholar
  28. [28]
    J.R. Huynen: “Radar target sorting based upon polarization signature analysis,” Lockheed Missiles and Space Division, Report 28-82-16, (May 1960) (AD318597), and Phenomenological Theory ofRadar Targets (Drukkerij Bronder-offset N.V., Rotterdam, 1970), dissertation (obtainable from author); see also Proceedings of the National Conference on Electromagnetic Scattering, UICC, June, 1976, pp. 91–94; J. R. Huynen: “Radar target phenomenology,” in Electromagnetic Scattering, ed. by P.L.E. Uslenghi (Academic, New York, 1968), pp. 653–712Google Scholar
  29. [29]
    C.L. Bennett, A.M. Auckenthaler, R.S. Smith, J.D. DeLorenzo: “Space time integral equation approach to the large body scattering problem,” Sperry Research Center, Sudbury, Massachusetts, SCRCR-Cr-73-1 (1973)Google Scholar
  30. [30]
    S.K. Chaudhuri, W-M. Boerner: “A monostatic inverse scattering model based on polarization utilization,” Applied Physics (Springer) 11, 337–350 (1976); “Polarization utilization in profile inversion of a perfectly conducting prolate spheriod,” IEEE Trans. AP-25, 505–511 (1977)Google Scholar
  31. [31]
    N.N. Bojarski: “Inverse scattering,” Company Report N00019-73-C-312/F, prepared for NASD (AD-775235/5) (1974)Google Scholar
  32. [32]
    V.A. Fock: Electromagnetic Diffraction and Propagation Problems (Pergamon, New York, 1965). See also J. Phys. USSR 9, 255–266 (1945); ibid. 10, 130–136, 339–409 (1946)Google Scholar
  33. [33]
    R.F. Goodrich: “Fock theory-an appraisal and exposition,” IRE Trans. AP-7, 528–536 (1959)Google Scholar
  34. [34]
    P.H. Pathak, R.G. Kouyoumjian: “An analysis of the radiation from apertures in curved surfaces by GTD,” Proc. IEEE 62, 1438–1447 (1974)Google Scholar
  35. [35]
    V.A. Borovikov, B.Ye. Kinber: “Some problems in the asymptotic theory of diffraction,” Proc. IEEE 62, 1416–1437 (1974)Google Scholar
  36. [36]
    G. Ioannidis, D.E. Hammers: “Adaptive antenna polarization schemes for clutter suppression and target identification,” RADC-TR-79-4, (February 1979) and IEEE Trans. AP-27, 357–363 (1979)Google Scholar
  37. [37]
    M. W. Long: Reflectivity of Land and Sea (Lexington Books, Heath, Lexington, Massachusetts, 1975)Google Scholar
  38. [38]
    D.E. Hammers, A.J. MacKinnon: “Radar target recognition, an operator-theoretical systems approach,” International Symposium on Operator Theory and Networks, Montreal, 1975Google Scholar
  39. [39]
    K.H. Steinbach: “Nonconventional aspects of radar target classification by polarization properties,” USAMERDC, Fort Belvoir, VA, Report 2065, (June, 1973) (AD-763155). See also “On the polarization transform power of radar target” in Atmospheric Effects on Radar Target Identification and Imaging, ed. by E. Jeske (Reidel, Dordrecht-Holland, 1976), pp. 65–82Google Scholar
  40. [40]
    P.T. Gough, W-M. Boerner: “Depolarization of specular scatter as an aid to identifying a rough dielectric surface from an identical rough metallicsurface,” J. Opt. Soc. Am. 69, (July 1979) in pressGoogle Scholar
  41. [41]
    E. Kennaugh: “Polarization properties of target reflections,” Griffis AFB Report No. 389-8 (April 1951); final report (March 1952) (AD-002-494). See also Proceedings of the Workshop on Radar Backscatter from Terrain, January 1979, U.S. Army ETL, Fort Belvoir, Virginia, ed. by J.A. Styles, J.C. Holtzman; RSL Technical Report 374-2 (DAAG 29-78-C-0019)Google Scholar
  42. [42]
    A. Ishimaru: Wave Propagation and Scattering in Random Media; I: Single Scattering and Transport Theory; II: Multiple Scattering, Turbulence, Rough Surfaces, and Remote Sensing (Academic, New York, 1978)Google Scholar
  43. [43]
    G.A. Deschamps: “Geometrical representation of the polarization of a plane electromagnetic wave,” Proc. IRE 39(5), 543–548 (1951)Google Scholar
  44. [44]
    W-M. Boerner, Y. Das: “Application of the Radon transform theory to electromagnetic inverse scattering,” ISAP 1978, Sendai, Augus 29–31, 1978Google Scholar
  45. [45]
    B. E. Oppenheim: “More accurate algorithms for iterative 3-dimensional reconstructi,” J. Opt. Soc. Am. 65, 21, 72–83 (1974)Google Scholar
  46. [46]
    R. N. Bracewell, S. J. Wernecke: “Image reconstruction over a finite of view,” J. Opt. Soc. Am. 65, 1342–1346 (1975)Google Scholar
  47. [47]
    D. Ludwig:“The Radon transform on Euclidean space,” Comm. Pure Appl. Math. 19, 49–81 (1966) *** DIRECT SUPPORT *** A3418088 00011Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Wolfgang -M. Boerner
    • 1
  1. 1.Communications Laboratory, Department of Information EngineeringUniversity of Illinois at Chicago CircleChicago60680

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