Optical and Quantum Electronics

, Volume 38, Issue 1–3, pp 19–34 | Cite as

Non-paraxial Split-step Finite-difference Method for Beam Propagation

  • Anurag SharmaEmail author
  • Arti Agrawal


A method based on symmetrized splitting of the propagation operator in the finite difference scheme for non-paraxial beam propagation is presented. The formulation allows the solution of the second order scalar wave equation without having to make the slowly varying envelope and one-way propagation approximations. The method is highly accurate and numerically efficient. Unlike most Padé approximant based methods, it is non-iterative in nature and requires less computation. The method can be used for bi-directional propagation as well.


beam propagation finite difference method split-step method wide-angle method 


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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Physics DepartmentIndian Institute of Technology DelhiNew DelhiIndia

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