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Time domain simulation in photonics: A comparison of nonlinear dispersive polarisation models

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The paper investigates and compares a range of different models currently used for modelling nonlinear optical phenomena. The models are implemented in the numerical time domain Transmission Line Modelling (TLM) method and include a Kerr model and different formulations of the Duffing model. The models are used to simulate an all-optical limiter for a CW input and results compared with ones available in the literature. This enables a comparison to be made between the different models, from which it is concluded that the Duffing model has some advantages, when modelling materials and phenomena involving more than one frequency, arising from its ability to describe dispersive effects. These conclusions are further supported by the simulation results obtained for a pulse input.

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  • L. Brzozowski E.H. Sargent (2000) IEEE J. Quantum Elect 36 550 Occurrence Handle10.1109/3.842096 Occurrence Handle1:CAS:528:DC%2BD3cXjtlKntrs%3D

    Article  CAS  Google Scholar 

  • C. Conti A.D. Falco G. Assanto (2004) Opt. Express 12 823 Occurrence Handle10.1364/OPEX.12.000823

    Article  Google Scholar 

  • V. Janyani J.D. Paul A. Vukovic T.M. Benson P. Sewell (2004) IEE Proc. Optoelectr 151 185 Occurrence Handle10.1049/ip-opt:20040770

    Article  Google Scholar 

  • Janyani, V., A. Vukovic, J.D. Paul, T.M. Benson and P. Sewell. In: The 5th International Workshop on Computational Electromagnetics in Time Domain – TLM, FDTD and Other Techniques, Halifax, Nova Scotia, Canada, 17–19 June, p. 98, 2003.

  • R.M. Joseph A. Taflove (1997) IEEE Trans. Antennas Propag 45 364 Occurrence Handle10.1109/8.558652

    Article  Google Scholar 

  • Kazantseva, E.V., A.I. Maimistov and J.-G. Caputo. The Reduced Maxwell-Duffing Description of Extremely Short Pulses In Non-Resonant Media [online]. Available at:<> [June 2004], 2004.

  • J. Koga (1999) Opt. Lett 24 408

    Google Scholar 

  • Maimistov, A.I. and J.-G. Caputo. Propagation Of Extremely Short Pulses In Non-Resonant Media : The Total Maxwell-Duffing Model [online]. Available at:<> [June 2004], 2003.

  • J. Paul C. Christopoulos D.W.P. Thomas (1999) IEEE Trans. Antennas Propag 47 1528 Occurrence Handle10.1109/8.805895

    Article  Google Scholar 

  • J. Paul C. Christopoulos D.W.P. Thomas (2002) IEEE Trans. Antennas Propag 50 997 Occurrence Handle10.1109/TAP.2002.800733

    Article  Google Scholar 

  • Paul, J., C. Christopoulos and D.W.P. Thomas. In: The 20th Annual Review of Progress in Applied Computational Electromagnetics (ACES 2004), Syracuse University, NY, 19–23 April, 2004.

  • D. Pelinovsky J. Sears L. Brzozowski E.H. Sargent (2002) J. Opt. Soc. Am. B 19 43 Occurrence Handle1:CAS:528:DC%2BD38XntlM%3D

    CAS  Google Scholar 

  • Schmidt, H.-J. Nonlinear Wave Equations [online]. Available at:<> [June 2004], 2003.

  • Taflove, A. and S. Hagness. Computational Electrodynamics: The Finite-Difference Time-Domain Method,Artech House, 2000.

  • H. Xiao K.E. Oughstun (1998) J. Opt. Soc. Am. A 15 1256

    Google Scholar 

  • Ye, W.N., L. Brzozowski, E.H. Sargent and D. Pelinovsky. In: Lasers and Electro-optics Society (LEOS) 2001, The 14th Annual Meeting of IEEE, Vol. 2, San Diego, CA, USA, p. 441, 2001.

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Correspondence to Trevor M. Benson.

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Janyani, V., Vukovic, A., Paul, J.D. et al. Time domain simulation in photonics: A comparison of nonlinear dispersive polarisation models. Opt Quant Electron 37, 3–24 (2005).

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