PMID- 23842367
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20140226
LR  - 20181023
IS  - 1094-4087 (Electronic)
IS  - 1094-4087 (Linking)
VI  - 21
IP  - 13
DP  - 2013 Jul 1
TI  - Higher-order wide-angle split-step spectral method for non-paraxial beam 
      propagation.
PG  - 15815-25
LID - 10.1364/OE.21.015815 [doi]
AB  - We develop a higher-order method for non-paraxial beam propagation based on the 
      wide-angle split-step spectral (WASSS) method previously reported [Clark and 
      Thomas, Opt. Quantum. Electron., 41, 849 (2010)]. The higher-order WASSS 
      (HOWASSS) method approximates the Helmholtz equation by keeping terms up to 
      third-order in the propagation step size, in the Magnus expansion. A symmetric 
      exponential operator splitting technique is used to simplify the resulting 
      exponential operators. The HOWASSS method is applied to the problem of waveguide 
      propagation, where an analytical solution is known, to demonstrate the 
      performance and accuracy of the method. The performance enhancement gained by 
      implementing the HOWASSS method on a graphics processing unit (GPU) is 
      demonstrated. When highly accurate results are required the HOWASSS method is 
      shown to be substantially faster than the WASSS method.
FAU - Hokr, Brett H
AU  - Hokr BH
AD  - Department of Physics & Astronomy, Texas A&M University, College Station, TX 
      77843, USA. brett.hokr@tamu.edu
FAU - Clark, C D 3rd
AU  - Clark CD 3rd
FAU - Grotheer, Rachel E
AU  - Grotheer RE
FAU - Thomas, Robert J
AU  - Thomas RJ
LA  - eng
PT  - Journal Article
PT  - Research Support, U.S. Gov't, Non-P.H.S.
PL  - United States
TA  - Opt Express
JT  - Optics express
JID - 101137103
EDAT- 2013/07/12 06:00
MHDA- 2013/07/12 06:01
CRDT- 2013/07/12 06:00
PHST- 2013/07/12 06:00 [entrez]
PHST- 2013/07/12 06:00 [pubmed]
PHST- 2013/07/12 06:01 [medline]
AID - 258306 [pii]
AID - 10.1364/OE.21.015815 [doi]
PST - ppublish
SO  - Opt Express. 2013 Jul 1;21(13):15815-25. doi: 10.1364/OE.21.015815.