The concept of the Fresnel number is generalized to make it possible to des
cribe the regular polygon and slit illuminated by a homogeneous plane wave.
The generalization is based on nonlinear regression of the axial intensity
distribution curve. A useful analytical expression for the Fresnel number
is presented. A simple experiment to show the different Fresnel numbers in
one observation plane is illustrated. (C) 2000 Optical Society of America.
OCIS codes: 050.1220, 050.1940.