Non-paraxial Split-step Finite-difference Method for Beam Propagation
- 208 Downloads
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.
Keywordsbeam propagation finite difference method split-step method wide-angle method
Unable to display preview. Download preview PDF.
- Adams, M.J. 1981An Introduction to Optical WaveguidesJohn WileyNew YorkGoogle Scholar
- Conte, S.D., deBoor, C. 1972Elementary Numerical AnalysisMcGraw-HillNew YorkGoogle Scholar
- Ghatak, A.K., Thyagarajan, K. 1998Introduction to Fiber OpticsUniversity PressCambridgeGoogle Scholar
- Ho, P.L., Lu, Y.Y. 2001IEEE Photon. Technol. Lett.131316Google Scholar
- Khabaza, M. 1965Numerical AnalysisPergamon PressLondon, U.K5558Google Scholar
- Lu, Y.Y., Wei, S.H. 2002IEEE Photon. Technol. Lett.141533Google Scholar
- Luo, Q., Law, C.T. 2002IEEE Photon. Technol. Lett.1450Google Scholar
- Sharma, A. and A. Agrawal. European Conference on Integrated Optics, Grenoble, France, April 5–8, 2005.Google Scholar
- Sharma, A. and S. Banerjee. J. Opt. Soc. Am. A 6 1884, 1989; Errata 7 2156, 1990.Google Scholar
- Sharma, A. In: Methods for Modeling and Simulation of Guided-Wave Optoelectronic Devices, ed. W.P. Huang. EMW Publishers, Cambridge, Massachussettes, pp. 143–198, 1995.Google Scholar