Abstract
We present a three-dimensional (3D) technique for computing light scattering and propagation in complex structures formed by scatterers embedded in a stratified background. This approach relies on the Green's tensor associated with the background and requires only the discretization of the scatterers, the entire stratified background being accounted for in the Green's tensor. Further, the boundary conditions at the edges of the computation window and at the different material interfaces in the stratified background are automatically fulfilled. Different examples illustrate the application of the technique to the modeling of photonic integrated circuits: waveguides with protrusions (single element ‘grating’) and notches. Subtle effects, like polarization crosstalks in an integrated optics device are also investigated.
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References
Davies, J.B. IEEE Trans. Magn. 29 1578, 1993.
Derudder, H., D. De Zutter and F. Olyslager. Electron. Lett. 34 2138, 1998.
El-Refaei, H., D. Yevick and I. Betty. IEEE Photon. Tech. L. 12 389, 2000.
Hayes, P.R., M.T. O'Keefe, P.R. Woodward and A. Gopinath. Opt. Quant. Electron. 31 813, 1999.
Helfert, S.F. and R. Pregla. Opt. Quant. Electron. 31 721, 1999.
Herzinger, C.M., C.C. Lu, T.A. DeTemple and W.C. Chew. IEEE J. Quant. Electron. 29 2273, 1993.
Hsueh, Y., M. Yang and H. Chang. J. Lightwave Technol. 17 2389, 1999.
Huang, W. and R.R.A. Syms. J. Lightwave Technol. 17 2658, 1999.
Huang, W.P. and C.L. Xu. IEEE J. Quant. Electron. 29 2639, 1993.
Hunsperger, R.G. Integrated Optics: Theory and Technology 3rd edn, Springer, Berlin, 1991.
Lee, J.-F., R. Palandech and R. Mittra. IEEE Trans. Microwave Theory Technol. 40 346, 1992.
Martin, O.J.F., A. Dereux and C. Girard. J. Opt. Soc. Am. A 11 1073, 1994.
Martin, O.J.F. and N.B. Piller. Phys. Rev. E 58 3909, 1998.
März, R. Integrated Optics Design and Modeling. Artech House, Boston, 1994.
Noble, M.J., J.A. Lott and J.P. Loehr. IEEE J. Quant. Electron. 34 2327, 1998.
Paulus, M., P. Gay-Balmaz and O.J.F. Martin. Phys. Rev. E 62 5797, 2000.
Paulus, M. and O.J.F. Martin. J. Opt. Soc. Am. A. 18 854, 2001.
Piller, N.B. and O.J.F. Martin. IEEE Trans. Antennas Propag. 46 1126, 1998.
Scarmozzino, R., A. Gopinath, R. Pregla and S. Helfert. IEEE J. Sel. Top. Quant. 6 150, 2000.
Tai, C.-T. Dyadic Green Function in Electromagnetic Theory. IEEE Press, New York, 1994.
Willems, J., J. Haes and R. Baets. Opt. Quant. Electron. 27 995, 1995.
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Paulus, M., Martin, O.J. A fully vectorial technique for scattering and propagation in three-dimensional stratified photonic structures. Optical and Quantum Electronics 33, 315–325 (2001). https://doi.org/10.1023/A:1010804414399
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DOI: https://doi.org/10.1023/A:1010804414399