Skip to main content
SpringerLink
Log in

The geometrical theory of diffraction and its application

  • Chapter
  • First Online:
Numerical and Asymptotic Techniques in Electromagnetics

Part of the book series: Topics in Applied Physics ((TAP,volume 3))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. K. Luneberg: Mathematical Theory of Optics (Brown University Notes Providence, 1944). Also published by (University of California Press, Berkeley, 1964).

    Google Scholar 

  2. M. Kline: In The Theory of Electromagnetic Waves (Interscience Publishers Inc., NewYork, 1951), pp. 225–262. See also his chapter in Electromagnetic Waves, ed. by R. E. Langer (University of Wisconsin Press, Madison, 1962), pp. 3–32.

    Google Scholar 

  3. M. Kline, I. Kay: Electromagnetic Theory and Geometrical Optics (Interscience Publishers, New York, 1965).

    Google Scholar 

  4. J. B. Keller, R. M. Lewis, B. D. Seckler: Comm. Pure Appl. Math. 9, 208 (1973).

    Google Scholar 

  5. R. G. Kouyoumjian: Proc. IEEE 53, 864 (1965).

    Google Scholar 

  6. I. Kay, J. B. Keller: J. Appl. Phys. 25, 876 (1954).

    Google Scholar 

  7. D. Ludwig: Comm. Pure Appl. Math. 19, 215 (1966).

    Google Scholar 

  8. R. G. Kouyoumjian, P. H. Pathak: Proc. IEEE 62, 1448 (1974).

    Google Scholar 

  9. J. J. Bowman, T. B. A. Senior, P. L. E. Uslenghi: Electromagnetic and Acoustic Scattering by Simple Shapes (North-Holland Publishing Co., Amsterdam, 1969).

    Google Scholar 

  10. J. B. Keller: In “Proc. Symposium on Microwave Optics”, p. II, McGill University (1953) Astia Document AD 211500 (1959), pp. 207–210.

    Google Scholar 

  11. J. B. Keller: In Calculus of Variations and its Applications, ed. by L. M. Graves (McGraw-Hill Book Co., New York, 1958), pp. 27–52.

    Google Scholar 

  12. J. B. Keller: J. Opt. Soc. Am 52, 116 (1962).

    Google Scholar 

  13. M. Born, E. Wolf: Principles of Optics, 4th ed. (Pergamon Press, Oxford, 1970), pp. 753, 754.

    Google Scholar 

  14. S. Silver: Microwave Antenna Theory and Design (McGraw Hill Book Co., New York, 1949), pp. 119–122.

    Google Scholar 

  15. P. H. Pathak, R. G. Kouyoumjian: “The Dyadic Diffraction Coefficient for a Perfectly-Conducting Wedge”, Report 2183-4, Electro-Science Laboratory, The Ohio State University, Columbus, Ohio 1973).

    Google Scholar 

  16. S. N. Karp, J. B. Keller: Optica Acta 8, 61 (1961).

    Google Scholar 

  17. L. Kaminetzky, J. B. Keller: SIAM J. Appl. Math. 22, 109 (1972).

    Google Scholar 

  18. T. B. A. Senior: IEEE Trans. Antennas Propagation AP-20, 326 (1972).

    Google Scholar 

  19. K. M. Siegel, J. W. Cripsin, E. Schensted: J. Appl. Phys. 26, 309 (1955).

    Google Scholar 

  20. L. B. Felsen: IRE Trans. Antennas Propagation AP-5, 121 (1957).

    Google Scholar 

  21. B. R. Levy, J. B. Keller: Comm. Pure Appl. Math. 12, 159 (1959).

    Google Scholar 

  22. J. B. Keller, B. R. Levy: IRE Trans. Antennas Propagation AP-7, S 52.

    Google Scholar 

  23. W. Franz, K. Klante: IRE Trans. Antennas Propagation AP-7, S68 (1959).

    Google Scholar 

  24. S. Hong: J. Math. Phys. 8, 1223 (1967).

    Google Scholar 

  25. D. R. Voltmer: “Diffraction by Doubly Curved Convex Surfaces”, Ph.D. Dissertation, The Ohio State Univ., Columbus, Ohio (1970).

    Google Scholar 

  26. W. D. Burnside: “Analysis of On-Aircraft Antenna Patterns”, Report 3390-1, Electro-Science Laboratory, The Ohio State Univ., Columbus, Ohio (1972).

    Google Scholar 

  27. P. H. Pathak, R. G. Kouyoumjian: Proc. IEEE 62, 1438 (1974).

    Google Scholar 

  28. N. A. Logan: “General Research in Diffraction Theory”, Vols. I, II, Reports LMSD-288087, 288088, Lockheed Aircraft Corporation, Missiles and Space Division, Sunnyvale, Calif. (1959). See also N. A. Logan, K. S. Yee: In Electro-magnetic Waves, ed. by R. E. Langer (University of Wisconsin Press, Madison, 1962), pp. 139–180.

    Google Scholar 

  29. J. R. Wait, A. M. Conda: J. Res. of N.B.S. 63D, 181 (1959).

    Google Scholar 

  30. V. A. Fock: Electromagnetic Diffraction and Propagation Problems (Pergamon Press, Oxford, 1965), pp. 134–146.

    Google Scholar 

  31. A. S. Goriainov: Radio Eng. Electron. (USSR) 3, 23 (1958) English translation of Radiotechn. i Elektron. 3, 603 (1958).

    Google Scholar 

  32. P. A. J. Ratnasiri, R. G. Kouyoumjian, P. H. Pathak: “The Wide Angle Side Lobes of Reflector Antennas”, Report 2183-1, Electro-Science Laboratory, The Ohio State Univ., Columbus, Ohio (1970).

    Google Scholar 

  33. C. E. Ryan, Jr., L. Peters, Jr.: IEEE Trans. Antennas Propagation AP-17, 292 (1969).

    Google Scholar 

  34. C. E. Ryan, Jr., L. Peters, Jr.: IEEE Trans. Antennas Propagation AP-18, 275 (1970).

    Google Scholar 

  35. M. S. Afifi: In Electromagnetic Wave Theory, Part 2, ed by J. Brown (Pergamon Press, Oxford, 1967), pp. 669–687.

    Google Scholar 

  36. G. A. Thiele, T. H. Newhouse: IEEE Trans. Antennas Propagation AP-23, 62 (1975).

    Google Scholar 

  37. G. A. Thiele: In Computer Techniques in Electromagnetics, ed. by R. Mittra (Pergamon Press, Oxford, 1973), pp. 7–95.

    Google Scholar 

  38. R. G. Kouyoumjian, W. D. Burnside: IEEE Trans. Antennas Propagation AP-18, 424 (1970).

    Google Scholar 

  39. M. E. Bechtel: Proc. IEEE 53, 877 (1965).

    Google Scholar 

  40. R. A. Ross: IEEE Trans. Antennas Propagation AP-17, 241 (1969).

    Google Scholar 

  41. T. B. A. Senior, P. L. E. Uslenghi: Radio Science 6, 393 (1971).

    Google Scholar 

  42. W. D. Burnside, L. Peters, Jr.: Radio Science 7, 943 (1972).

    Google Scholar 

  43. T. B. A. Senior, P. L. E. Uslenghi: Radio Science 8, 247 (1973).

    Google Scholar 

  44. R. V. DeVore, R. G. Kouyoumjian: “The Back Scattering from a Circular Disk”, URSI-IRE Spring Meeting, Washington, D.C. (1961).

    Google Scholar 

  45. E. F. Knott, T. B. A. Senior, P. L. E. Uslenghi: Proc. IEE (London) 118, 1736 (1971).

    Google Scholar 

  46. R. A. Ross: IEEE Trans. Antennas Propagation AP-14, 329 (1966).

    Google Scholar 

  47. R. G. Kouyoumjian, N. Wang: “Diffraction by a Perfectly Conducting Rectangular Cylinder which is Illuminated by an Array of Line Sources”, Report 3001-7, Electro-Science Laboratory, The Ohio State Univ., Columbus, Ohio (1973).

    Google Scholar 

  48. L. L. Tsai, D. R. Wilton, M. G. Harrison, E. H. Wright: IEEE Trans. Antennas Propagation AP-20, 705 (1972).

    Google Scholar 

  49. J. B. Keller, D. S. Ahluwalia: SIAM J. Appl. Math. 20, 390 (1971).

    Google Scholar 

  50. R. B. Dybdal, R. C. Rudduck, L. L. Tsai: IEEE Trans. Antennas Propagation AP-14, 574 (1966).

    Google Scholar 

  51. R. C. Rudduck, L. L. Tsai: IEEE Trans Antennas Propagation AP-16, 84 (1968).

    Google Scholar 

  52. C. E. Ryan, Jr., R. C. Rudduck: IEEE Trans. Antennas Propagation AP-16, 490 (1968).

    Google Scholar 

  53. R. C. Rudduck, D. C. F. Wu: IEEE Trans. Antennas Propagation AP-17, 797 (1969).

    Google Scholar 

  54. H. Y. Yee, L. B. Felsen, J. B. Keller: SIAM J. Appl. Math. 16, 268 (1968).

    Google Scholar 

  55. L. B. Felsen, H. Y. Yee: IEEE Trans. Antennas Propagation AP-16, 268 and 360 (1968).

    Google Scholar 

  56. J. S. Yu, R. C. Rudduck, L. Peters, Jr.: IEEE Trans. Antennas Propagation AP-14, 138 (1966).

    Google Scholar 

  57. J. S. Yu, R. C. Rudduck: IEEE Trans. Antennas Propagation AP-17, 651 (1969).

    Google Scholar 

  58. C. A. Mentzer, L. Peters, Jr., R. C. Rudduck: Submitted for publication.

    Google Scholar 

  59. T. Hua: “The Reflection Coefficient of a Horn-Waveguide Junction”, M.Sc. Thesis, The Ohio State Univ., Columbus, Ohio (1970).

    Google Scholar 

  60. M. A. K. Hamid: IEEE Trans. Antennas Propagation AP-16, 520 (1968).

    Google Scholar 

  61. D. L. Hutchins, R. G. Kouyoumjian: J. Acoust. Soc. Am. 45, 485 (1969).

    Google Scholar 

  62. W. D. Burnside, R. J. Marhefka, C. L. Yu: “Roll Plane Analysis of On-Aircraft Antennas” Pre-print 139 (AGARD Conference on Antennas for Avionics, Munich, Germany, 1973).

    Google Scholar 

  63. F. Molinet, L. Saltiel: “High Frequency Radiation Pattern Prediction for Satellite Antennas”, Final Report ESTEC Contract 1820/72 HP, Laboratoire Central de Telecommunications, Velizy-Villacoublay, France (1973).

    Google Scholar 

  64. J. Bach, K. Pontoppidan, L. Solymar: “High Frequency Radiation Pattern Prediction for Satellite Antennas”, Final Report ESTEC Contract 1821/72 HP, The Technical University of Denmark, Lyngby (1973).

    Google Scholar 

  65. B. D. Seckler, J. B. Keller: J. Acoust. Soc. Am. 31, 192 (1959).

    Google Scholar 

  66. R. M. Lewis, N. Bleistein, D. Ludwig: Comm. Pure Appl. Math. 20, 295 (1967).

    Google Scholar 

  67. B. Rulf, L. B. Felsen: In Quasi-Optics, ed. by J. Fox (Polytechnic Press, Brooklyn, 1964), pp. 107–149.

    Google Scholar 

  68. H. M. Nussenzveig: In Methods and Problems of Theoretical Physics, ed. by J. E. Bowcock (North Holland Publishing Co., Amsterdam, 1970).

    Google Scholar 

  69. L. B. Felsen, N. Marcuvitz: Radiation and Scattering of Waves (Prentice-Hall, Inc., Englewood Cliffs, N.J., 1973).

    Google Scholar 

  70. P. Ya. Ufimtsev: Metod Krayevykh Voiln v Fizicheskoy Teorii Difraktsii (Sovetskoye Radio, 1962). For an English translation see Foreign Technology Division, Document ID No. FTD-HC-23-259-71 (1971).

    Google Scholar 

  71. V.I. Ivanov: USSR Comput. Math. and Math. Phys. 2, 216 (1971).

    Google Scholar 

Download references

Authors
  1. R. G. Kouyoumjian
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Raj Mittra

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag

About this chapter

Cite this chapter

Kouyoumjian, R.G. (1975). The geometrical theory of diffraction and its application. In: Mittra, R. (eds) Numerical and Asymptotic Techniques in Electromagnetics. Topics in Applied Physics, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540070729_27

Download citation

  • DOI: https://doi.org/10.1007/3540070729_27

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07072-6

  • Online ISBN: 978-3-540-37391-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation