Accuracy of three-point finite difference approximations for optical waveguides with step-wise refractive index discontinuities

• Autorzy: Sujecki S.
• Konferencja: The International Conference on Semiconductor Mid-IR Materials and Optiics (SMMO 2010) ; (21-23.10.2010 ; Warsaw, Poland)
• Języki publikacji: EN

Abstrakty

EN

A rigorous truncation error analysis of three-point finite difference approximations for optical waveguides with step-wise refractive index discontinuities is given. As the basis for the analysis we use the exact coefficients of the series that expresses the field value at a given finite difference node in terms of the field value and its derivatives at a neighbouring node. This series is applied to develop a rigorous formalism for the truncation error analysis of the three-point finite difference approximations used in the numerical modelling of light propagation in optical waveguides with step-wise discontinuities of the refractive index profile. The results show that the approximations reach O(h²) truncation error only asymptotically for sufficiently small values of the mesh size.

Słowa kluczowe

EN

finite differences; optical waveguides; guided waves

• Wydawca: Stowarzyszenie Elektryków Polskich ; Polska Akademia Nauk ; Wojskowa Akademia Techniczna im. Jarosława Dąbrowskiego
• Czasopismo: Opto-Electronics Review
• Rocznik: 2011
• Tom: Vol. 19, No. 2
• Strony: 145--150
• Opis fizyczny: Bibliogr. 10 poz., il., wykr.

Twórcy

autor

Sujecki S.

• The School of Electrical and Electronic Engineering, The University of Nottingham, NG7 2RD Nottingham, UK,

Bibliografia

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