A semianalytical method is described for calculating the diffraction integral for paraxial propagation through an optical system. The field at the input plane is represented by a linear superposition of nearly Gaussian basis functions that keep a simple analytical form under ABCD propagation. The coefficients of the superposition are obtained by a numerical fit. The flexibility of the basis functions makes the method well suited to dealing with sharp local variations of the input field.
© 2000 Optical Society of America
Original Manuscript: September 14, 1999
Revised Manuscript: March 7, 2000
Manuscript Accepted: March 7, 2000
Published: June 1, 2000
Robert M. Potvliege, "Waveletlike basis function approach to the propagation of paraxial beams," J. Opt. Soc. Am. A 17, 1043-1047 (2000)