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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: 1214–1218

Comparison of Three Theories of Electromagnetic Diffraction at an Aperture. Part II: The Far Field

B. KARCZEWSKI and E. WOLF  »View Author Affiliations

JOSA, Vol. 56, Issue 9, pp. 1214-1218 (1966)

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Using the coherence matrices derived in Part I of this investigation, a systematic study is made of structure of the far field, on the basis of several different theories. First the case of a completely polarized incident field is considered and the distribution of the energy density and the state of polarization are examined. Then the case of diffraction of an unpolarized field is studied, particular attention being paid to degree of polarization of the diffracted field. Analytical as wvell as some numerical results are presented. The predictions of the three theories are compared with each other and with those of the classical scalar theory of Huygens, Fresnel, and Kirchhoff.

B. KARCZEWSKI and E. WOLF, "Comparison of Three Theories of Electromagnetic Diffraction at an Aperture. Part II: The Far Field," J. Opt. Soc. Am. 56, 1214-1218 (1966)

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  1. B. Karczewski and E. Wolf, J. Opt. Soc. Am. 56, 1207 (1966).
  2. E. Wolf, Nuovo Cimento 13, 1180 (1959).
  3. M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1965), 3rd ed., Chap. 8.
  4. In Refs. I and 2 the elements of the coherence matrix have been defined in terms of a time average rather than in terms of an ensemble average as done in the present paper. However, since we are dealing with a stationary field, which we also assumed to be ergodic, the two averages are the same.

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