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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 59, Iss. 9 — Sep. 1, 1969
  • pp: 1158–1161

Exact Calculation of the Field Due to a Single Fresnel Zone by the Use of the Maggi-Rubinowicz Contour Integral

RASHAD MOUNIR SHOUCRI  »View Author Affiliations


JOSA, Vol. 59, Issue 9, pp. 1158-1161 (1969)
http://dx.doi.org/10.1364/JOSA.59.001158


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Abstract

The exact calculation of the field at a point due to a single Fresnel zone is carried out by using the Maggi—Rubinowicz contour integral. The result agrees with the Fresnel theorem in the limit for k very large, k being the propagation constant of the incident wave. The results obtained suggest a new interpretation of the physical meaning of the Maggi—Rubinowicz contour integral in diffraction theory as representing a contribution of elementary or Fresnel zones, in exactly the same manner that the Kirchhoff integral does when considered as an expression of Huygens’ principle.

© 1969 Optical Society of America

Citation
RASHAD MOUNIR SHOUCRI, "Exact Calculation of the Field Due to a Single Fresnel Zone by the Use of the Maggi-Rubinowicz Contour Integral," J. Opt. Soc. Am. 59, 1158-1161 (1969)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-59-9-1158

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