Free-space beam propagation between arbitrarily oriented planes based on full diffraction theory: a fast Fourier transform approach

Nuri Delen, Brian Hooker

Journal of the Optical Society of America A · 1998 · 168 citations · 14 references

Concepts

TL;DR

Free‑space beam propagation is typically modeled by diffraction theory, but existing methods often approximate by neglecting the vector nature of light. The study develops a fast, accurate numerical method for free‑space beam propagation between arbitrarily oriented planes and presents the core features of a corresponding software package. The method evaluates the Rayleigh–Sommerfeld diffraction integral via a fast Fourier transform, employing a special transformation to accommodate plane tilts and offsets. A numerical example using the software package demonstrates the method’s validity.

Abstract

A fast and accurate numerical method for free-space beam propagation between arbitrarily oriented planes is developed. The only approximation made in the development of the method was that the vector nature of light was ignored. The method is based on evaluating the Rayleigh–Sommerfeld diffraction integral by use of the fast Fourier transform with a special transformation to handle tilts and offsets of planes. The fundamental aspects of a software package based on the developed method are presented. A numerical example realized with the software package is presented to establish the validity of the method.

References

14