1. Huang, W. ed., Methods for Modeling and Simulation of Guided-wave Optoelectronic Devices: Part I. Modes and Couplings, EMW Publishing, 1995.
2. Rahman, B. M. A. and J. B. Davies, "Finite-element analysis of optical and microwave waveguide problems," IEEE Trans. Microwave Theory Tech., Vol. 32, No. 1, 20-28, 1984.
doi:10.1109/TMTT.1984.1132606
3. Koshiba, M. and K. Inoue, "Simple and efficient finite-element analysis of microwave and optical waveguides," IEEE Trans. Microwave Theory Tech., Vol. 40, No. 2, 371-377, 1992.
doi:10.1109/22.120111
4. Stern, M. S., "Semivectorial polarized finite difference method for optical waveguides with arbitrary index profiles," IEE Proc. J., Vol. 135, No. 2, 56-63, 1988.
doi:10.1049/ip-j.1988.0013
5. Xu, C. L., W. P. Huang, M. S. Stern, and S. K. Chaudhuri, "Full-vectorial mode calculations by finite difference method," IEE Proc. Optoelectron, Vol. 142, No. 5, 281-286, 1994.
doi:10.1049/ip-opt:19941419
6. Vassallo, C., "Improvement of finite difference method for step-index optical waveguides," Inst. Elect. Eng. Proc.--- J., Vol. 139, No. 2, 137-142, 1992.
7. Yamauchi, J., M. Sekiguchi, O. Uchiyama, J. Shibayama, and H. Nakano, "Modified finite-difference formula for the analysis of semivectorial modes in step-index optical waveguides," IEEE Photon. Technol. Lett., Vol. 9, 961-963, 1997.
doi:10.1109/68.593366
8. Vassallo, C., "Interest of improved three-point formulas for finite-difference modeling of optical devices," J. Opt. Soc. Amer., Vol. 14, 3273-3284, 1997.
doi:10.1364/JOSAA.14.003273
9. Chiou, Y.-P., Y. C. Chiang, and H. C. Chang, "Improved three point formulas considering the interface conditions in the finite-di®erence analysis of step-index optical devices," J. Lightwave Technology, Vol. 18, No. 2, 243-251, 2000.
doi:10.1109/50.822799
10. Chiou, Y.-P. and C.-H. Du, "Arbitrary-order full-vectorial interface conditions and higher-order finite-difference analysis of optical waveguides," J. Lightwave Technology, Vol. 29, No. 22, 3445-3452, Nov. 2011.
doi:10.1109/JLT.2011.2168600
11. Chiou, Y.-P. and C.-H. Du, "Arbitrary-order interface conditions for slab structures and their applications in waveguide analysis," OSA Optics Express, Vol. 18, No. 5, 4088-4102, Mar. 2010.
doi:10.1364/OE.18.004088
12. Rogge, U. and R. Pregla, "Method of lines for the analysis of dielectric waveguides," J. Lightwave Technology, Vol. 11, 2015-2020, Dec. 1993.
doi:10.1109/50.257964
13. Vassallo, C., "1993-1995 optical mode solvers," Opt. Quantum Electron., Vol. 29, 95-114, 1997.
doi:10.1023/A:1018537602159
14. Celler, G. K. and S. Cristoloveanu, "Frontiers of silicon-on-insulator," Applied Phys. Reviews, Vol. 93, No. 9, 4955-4978, 2003.
doi:10.1063/1.1558223
15. Bogaerts, W., R. Baets, P. Dumon, et al. "Nanophotonic waveguides in silicon-on-insulator fabricated with CMOS technology," J. Lightwave Technology, Vol. 23, No. 1, 2005.
doi:10.1109/JLT.2004.834471
16. Chiang, P. J., C. L. Wu, et al. "Full-vectorial optical waveguide mode solvers using multidomain pseudospectral frequency-domain (PSFD) formulations," IEEE J. Quantum Electronics, Vol. 44, No. 1, 56-66, 2008.
doi:10.1109/JQE.2007.910454
17. Christara, C. C., "Quadratic spline collocation methods for elliptic partial differential equations," BIT, Vol. 34, No. 1, 33-61, 1994.
doi:10.1007/BF01935015
18. Sharma, A. and S. Banerjee, "Method for propagation of total fields or beams through optical waveguides," Opt. Lett., Vol. 14, No. 1, 96-98, 1989.
doi:10.1364/OL.14.000096
19. Xiao, J. B. and X. H. Sun, "Full-vectorial mode solver for anisotropic optical waveguides using multidomain spectral collocation method," Opt. Comm., Vol. 28, No. 14, 2835-2840, 2010.
doi:10.1016/j.optcom.2010.03.057
20. Huang, C. X., C. C. Huang, and J. Y. Yang, "A full-vectorialpseudospectral modal analysis of dielectric optical waveguides with stepped refractive index profiles," IEEE J. Sel. Top. Quantum Electron., Vol. 11, No. 2, 457-465, 2005.
doi:10.1109/JSTQE.2005.846540
21. Huang, C. C. and C. C. Huang, "An efficient and accurate semivectorial spectral collocation method for analyzing polarized modes of rib waveguides," J. Lightwave Technology, Vol. 23, No. 7, 2309-2317, 2005.
doi:10.1109/JLT.2005.850041
22. Chen, J. and Q. H. Liu, "A non-spurious vector spectral element method for Maxwell's equations," Progress In Electromagnetics Research, Vol. 96, 205-215, 2009.
doi:10.2528/PIER09082705