Abstract
An efficient method to model guided and leaky modes of anisotropic dielectric waveguides with arbitratry dielectric tensor ε¯¯ is presented. This method takes advantage of a particular β-formulation approach of the finite element method (FEM), leading to an optimized use of the computational resources.
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Berry, G.M., S.V. Burke, J.M. Heaton and D.R. Wright. Opt. Soc. Amer. 10 81, 1994.
Donaldson, A. and K.K. Wong. Electron. Lett. 23 1378, 1987.
Duguway, M.A., Y. Kokubun, T.L. Koch and L. Pfeiffer. Appl. Phys. Lett. 49 13, 1986.
Fernàndez, F.A. and Y. Lu. Microwave and Optical Waveguide Analysis by the Finite Element Method, John Wiley and Sons, 1996.
Fouchet, S., A. Carenco, C. Dauget, R. Guglielmi and L. Riviere. IEEE J Lightw. Technol. 5 700, 1987.
Ghatak, A. and K. Thyagarajan. Introduction to Fiber Optics, Cambridge University Press, 1998.
Hayata, K., K. Miura and M. Koshiba. IEEE Transactions on Microw. Theory and Tech. 37 875, 1989.
Hobden, M.V. and J. Warner. Phys. Lett. 22 243, 1966.
Hosoi, T., S. Mizuta and M. Kitamura. ECOC 97, Conference Publication no. 448, 1997.
Kiang, J. S. Ali and J. Au Kong. IEEE Transactions on Microw. Theory and Techn. 38 193, 1990.
Knoesen, A., T.K. Gaylord and M.G. Moharam. IEEE J Lightw. Technol. 6 1083, 1988.
Lu M. and M.M. Fejer. J. Optical Soc. Am. 10 246, 1993.
Mariller, C. and M. Papuchon. Integrated and Guided Wave Optics, Atlanta, Georgia, Proceedings (1986) paper FCC3.
Nuno, L., J. Balbastre and H. Castane. IEEE Transactions on Microw. Theory and Techn. 45 446, 1997.
Olyslager, F. and D. De Zutter. IEEE Transactions on Microw. Theory and Techn. 41 1385, 1993.
D'Orazio, A., M. De Sario, V. Petruzzelli and F. Prudenzano. IEEE J. Lightw. Technol. 12 453, 1988.
Peng, S.T. and A.A. Oliner. IEEE Transactions on Microw. Theory and Techn. 29 843, 1981.
Petrov, D.V. Proc IEEE Published 2 12, 1995.
Selleri, S. and M. Zoboli. J. Opt. Soc. Am. 14 1460, 1997.
Silvester, P.P. and R.L. Ferrari. Finite Elements for Electrical Engineers, Cambridge University Press, Cambridge, 1983.
Stolte, R. and R. Ulrich. Electron. Lett. 33 1217, 1997.
Strake, E., G.P. Bava and I. Montrosset. IEEE J. Lightw. Technol. 6 1126, 1988.
Svedin, J.A.M. IEEE Transactions on Microw. Theory and Techn. 39 258, 1991.
Tartarini, G., P. Bassi, S. Chen, M.P. De Micheli and D.B. Ostrowsky. Opt. Commun. 101 424, 1993.
Tartarini, G., P. Bassi, P. Baldi, M.P. De Micheli and D.B. Ostrowsky. IEEE J. Lightw. Technol. 15 821, 1997a.
Tartarini, G., P. Bassi, P. Baldi, M.P. De Micheli and D.B. Ostrowsky. J. Lightw. Technol. 15 821, 1997b.
Tartarini, G. and H. Renner. IEEE Microw. Guided Wave Lett. 9 389, 1999.
Torner, L., F. Canal and J. Hernandez-Marco. Appl. Optics 29 2805, 1988.
Tsuji, Y., M. Koshinba and N. Takimoto. IEEE J. Lightw. Techn. 17 723, 1999.
Van Haasteren, A.J.P., J.J.G.M. Van der Tol, M.O. Van Deventer and H.J. Frankena. IEEE J Lightw. Techn. 11 1151, 1993.
Von Helmolt, C.H. Electron. Lett. 22 155, 1986.
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Tartarini, G. Efficient β-formulation for the FEM analysis of leaky modes in general anisotropic channel waveguides. Optical and Quantum Electronics 32, 719–734 (2000). https://doi.org/10.1023/A:1007054109533
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DOI: https://doi.org/10.1023/A:1007054109533