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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 56, Iss. 9 — Sep. 1, 1966
  • pp: 1207–1210

Comparison of Three Theories of Electromagnetic Diffraction at an Aperture. Part I: Coherence Matrices

B. KARCZEWSKI and E. WOLF  »View Author Affiliations

JOSA, Vol. 56, Issue 9, pp. 1207-1210 (1966)

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Three theories of electromagnetic diffraction at an aperture in a screen, associated with the names of Kottler, Luneburg, Severin, and Vasseur, are reviewed and on the basis of these theories the coherence matrices relating to the far field are derived. These matrices will be used in Part II of this investigation to analyze systematically the structure of the far field as predicted by these theories.

B. KARCZEWSKI and E. WOLF, "Comparison of Three Theories of Electromagnetic Diffraction at an Aperture. Part I: Coherence Matrices," J. Opt. Soc. Am. 56, 1207-1210 (1966)

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  1. F. Kottler, Ann. Physik 71, 457 (1923).
  2. R. K. Luneburg, Mathematical Theory of Optics (University of California Press, Berkeley and Los Angeles, 1964), p. 319.
  3. H. Severin, Z. Physik 129, 426 (1951).
  4. J. P. Vasseur, Ann. Phys. (Paris) 7, 506 (1952).
  5. B. Karczewski, Acta Phys. Polonica 5-6, 403 (1961).
  6. B. Karczewski, J. Opt. Soc. Am. 51, 1055 (1961).
  7. B. Karczewski and E. Wolf, J. Opt. Soc. Am. 56, 1214 (1966).
  8. For a reference to the original literature and for a discussion of the historical background see A. Rubinowicz, Acta Phys. Polonica 27, 435 (1965).
  9. M. Born and E. Wolf, Principles of Oplics (Pergamon Press, New York, 1965), 3rd ed., Chap. 8.
  10. A. Sommerfeld, Optics (Academic Press Inc., New York, 1954), p. 197.
  11. G. Toraldo di Francia, Electromagnetic Waves (lnterscience Publishers, Inc., New York, 1955), p. 221.
  12. J. A. Stratton and L. J. Chu, Phys. Rev. 56, 99, 316 (1939).
  13. F. Kottler, in Progress in Optics, Vol. VI, E. Wolf, Ed. (North-Holland Publ. Co., Amsterdam; John Wiley & Sons, Inc., New York, in preparation).
  14. The coherence matrix is normally defined by taking the time average of each element in the matrix (5.1) (cf. Ref. 15 or 9). However, since we are now dealing with the idealized case of strictly monochromatic wave, the time average may be omitted.
  15. E. Wolf, Nuovo Cimenito 13, 1165 (1959).

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