The concept of the Fresnel number is generalized to make it possible to describe 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.
© 2000 Optical Society of America
Original Manuscript: October 18, 1999
Revised Manuscript: March 27, 2000
Published: July 10, 2000
Shaomin Wang, Qiang Lin, Liping Yu, and Xiaoling Xu, "Fresnel number of a regular polygon and slit," Appl. Opt. 39, 3453-3455 (2000)