Explicit finite-difference time domain for nonlinear analysis of waveguide modes

N. M. Barakat; M. M. Shabat; S. El-Azab; Dieter Jaeger

doi:10.1117/12.498363

8 July 2003 Explicit finite-difference time domain for nonlinear analysis of waveguide modes

N. M. Barakat, M. M. Shabat, S. El-Azab, Dieter Jaeger

Proceedings Volume 5036, Photonics, Devices, and Systems II; (2003) https://doi.org/10.1117/12.498363
Event: Photonics, Devices, and Systems II, 2002, Prague, Czech Republic

Abstract

The Finite Difference Time Domain Technique is at present the most widely used tool employed in the study of light propagation in various photonic waveguide structure. In this paper we derived an explicit finite-difference time-domain (FDTD) method for solving the wave equation in a four optical waveguiding rectangular structure. We derive the stability condition to achieve the stability in nonlinear media region, we also check that the wave equation used is consistence and convergent with the approximate finite difference equation. Our method is tested against some previous problems and we find a high degree of accuracy, moreover it is easy for programming. Numerical results are illustrated for a rectangular waveguide with four layers, where one of these layers is a nonlinear medium.

Citation Download Citation

N. M. Barakat, M. M. Shabat, S. El-Azab, and Dieter Jaeger "Explicit finite-difference time domain for nonlinear analysis of waveguide modes", Proc. SPIE 5036, Photonics, Devices, and Systems II, (8 July 2003); https://doi.org/10.1117/12.498363

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