Open AccessA new beam propagation method based on least-squares expansion approximating
Author(s) -
Xia Jin-Song,
Jinzhong Yu
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.515
Subject(s) - taylor series , series expansion , beam (structure) , mathematics , least squares function approximation , selection (genetic algorithm) , point (geometry) , propagator , mathematical analysis , computer science , geometry , physics , statistics , optics , estimator , artificial intelligence , mathematical physics
A new finite difference wide-angle beam propagation method is developed by introducing the least-squares expansion approximant in the propagator expansion- In this new method it is not necessary to select the reference index point because of the whole region approaching the lease-square expansion- This method avoids the problems induced by error selection of the reference index in the old methods based on Taylor or Padè expansion- Several typical structures are simulated by the new method and the results prove the validity of it-