Using rays better. III. error estimates and illustrative applications in smooth media

M. A. Alonso, G. W. Forbes

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

A new method for computing ray-based approximations to optical wave fields is demonstrated through simple examples involving wave propagation in free space and in a gradient-index waveguide. The analytic solutions that exist for these cases make it easy to compare the new estimates with exact results. A particularly simple RMS error estimate is developed here, and corrections to the basic field estimate are also discussed and tested. A key step for any ray-based method is the choice of a family of rays to be associated with the initial wave field. We show that, for maximal accuracy, not only must the initial field be considered in choosing the rays, but so too must the medium that is to carry the wave.

Original languageEnglish
Pages (from-to)1357-1370
Number of pages14
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume18
Issue number6
DOIs
Publication statusPublished - 2001

Fingerprint Dive into the research topics of 'Using rays better. III. error estimates and illustrative applications in smooth media'. Together they form a unique fingerprint.

Cite this