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 <i>k</i> very large, <i>k</i> 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

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