Higher-Order Wide-Angle Split-Step Spectral Method for Non-Paraxial Beam Propagation

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jun 25, 2013
Accession Number
ADA587647

Entities

People

  • Brett H. Hokr
  • C. D. Clark Iii
  • Rachel E. Grotheer
  • Robert J. Thomas

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Accuracy
  • Air Force Research Laboratories
  • Birds
  • Cartesian Coordinates
  • Differential Equations
  • Eigenvectors
  • Electrons
  • Equations
  • Graphics
  • Graphics Processing Unit
  • Helmholtz Equations
  • Refractive Index
  • Splitting
  • Three Dimensional
  • Two Dimensional
  • Waveguides
  • Wide Angles

Fields of Study

  • Physics

Readers

  • Electrochemical Surface Science
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Microelectronics
  • Quantum Computing