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The complex Jacobi iterative method for non-paraxial beam propagation in nonlinear optical waveguides

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Abstract

The recently introduced beam propagation method using complex Jacobi iteration adapted for modeling of non-paraxial beam propagation in nonlinear optical waveguides is presented in this paper. The beam propagation equation is based on our recently proposed modified Padé(1,1) approximant operator. The resulting approach is very efficient and well-suited for large structures with long propagation paths.

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References

  • De-Oliva-Rubio J., Molina-Fernandez I.: Fast semivectorial nonlinear finite-difference beam propagation method. Microwave Opt. Technol. Lett. 40, 73–77 (2004)

    Article  Google Scholar 

  • Hadley G.R.: Wide-angle beam propagation using Padé approximant operators. Opt. Lett. 17, 1426–1428 (1992)

    Article  MathSciNet  ADS  Google Scholar 

  • Le K.Q.: Complex Padé approximant operators for wide-angle beam propagation. Opt. Commun. 282, 1252–1254 (2009)

    Article  ADS  Google Scholar 

  • Le K.Q., Godoy-Rubio R., Bienstman P., Hadley G.R.: The complex Jacobi iterative method for three-dimensional wide-anglebeam propagation. Opt. Express 16, 17021–17030 (2008)

    Article  ADS  Google Scholar 

  • Vandersteegen P., Maes B., Bienstman P., Baets R.: Using the complex Jacobi method to simulate Kerr non-linear photonic components. Opt. Quantum. Electron. 38, 35–44 (2006)

    Article  Google Scholar 

  • Wright E.M., Stegeman G.I., Seaton C.T., Moloney J.V., Boardman A.D.: Multisoliton emission from a nonlinear waveguide. Phys. Rev. A 34, 4442–4444 (1986)

    Article  ADS  Google Scholar 

  • Yasui T., Koshiba M., Tsuji Y.: A wide-angle finite element beam propagation method with perfectly matched layers for nonlinear optical waveguides. J. Lightwave Technol. 17, 1909–1915 (1999)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Photonics Research Group, Department of Information Technology, Ghent University, Sint-Pietersnieuwstraat 41, Ghent, 9000, Belgium

    Khai Q. Le & Peter Bienstman

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  1. Khai Q. Le
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  2. Peter Bienstman
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Correspondence to Khai Q. Le.

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Le, K.Q., Bienstman, P. The complex Jacobi iterative method for non-paraxial beam propagation in nonlinear optical waveguides. Opt Quant Electron 41, 705–709 (2009). https://doi.org/10.1007/s11082-010-9382-2

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  • DOI: https://doi.org/10.1007/s11082-010-9382-2

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