Fast method for physical optics propagation of high-numerical-aperture beams

Yaakov M. Engelberg*, Shlomo Ruschin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A method is presented that expands the scheme of physical optics propagation beyond the Fresnel approximation to include beams that are nonparaxial. The formalism retains most of the calculation advantages of the Fresnel approach; i.e., it is based on a single Fourier transform step. The kernel of the new transformation is no longer separable in Cartesian coordinates; thus the formalism can account for astigmatic coupling effects originating purely from diffraction. The validity limits of the proposed algorithm are explored. Analytical expressions, numerical simulation results, and experimental data are compared.

Original languageEnglish
Pages (from-to)2135-2145
Number of pages11
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number11
StatePublished - Nov 2004


Dive into the research topics of 'Fast method for physical optics propagation of high-numerical-aperture beams'. Together they form a unique fingerprint.

Cite this