Relations connecting the parameters of a super-Gaussian with those of a flattened Gaussian beam are determined by minimizing the mean squared difference of the two profiles. Simplified analytical expressions are suggested and tested for values of the power parameter of the super-Gaussian function up to 20.
© 1999 Optical Society of America
Original Manuscript: July 7, 1998
Revised Manuscript: September 28, 1998
Manuscript Accepted: September 16, 1998
Published: January 1, 1999
Massimo Santarsiero and Riccardo Borghi, "Correspondence between super-Gaussian and flattened Gaussian beams," J. Opt. Soc. Am. A 16, 188-190 (1999)