1. Feit, M. D., J. A. Fleck, and Jr., "Light propagation in gradedindex optical fibers," Appl. Opt., Vol. 17, No. 24, 3990-3998, 1978.
doi:10.1364/AO.17.003990 Google Scholar
2. Feit, M. D., J. A. Fleck, and Jr., "Computation of mode properties in optical fiber waveguides by a propagating beam method," Appl. Opt., Vol. 19, No. 7, 1154-1164, 1980.
doi:10.1364/AO.19.001154 Google Scholar
3. Feit, M. D., J. A. Fleck, and Jr., "Computation of mode eigenfunctions in graded-index optical fibers by the propagation beam method," Appl. Optics, Vol. 19, No. 13, 2240-2246, 1980.
doi:10.1364/AO.19.002240 Google Scholar
4. Baets, R. and P. E. Lagasse, "Calculation of radiation loss in integrated-optic tapers and Y-junction," Appl. Opt., Vol. 21, No. 11, 1972-1978, 1981.
doi:10.1364/AO.21.001972 Google Scholar
5. Hermansson, B., D. Yevick, and P. Danielsen, "Propagating beam analysis of multimode waveguide tapers," IEEE J. Quantum Electron., Vol. 19, No. 8, 1246-1251, 1983.
doi:10.1109/JQE.1983.1072034 Google Scholar
6. Baets, R. and P. E. Lagasse, "Loss calculation and design of arbitrarily cured integrated-optic waveguide," J. Opt. Soc. Am., Vol. 73, No. 2, 177-182, 1983.
doi:10.1364/JOSA.73.000177 Google Scholar
7. Yevick, D. and L. Thylen, "Analysis of gratings by the beampropagation method," J. Opt. Soc. Am., Vol. 72, No. 8, 1084-1089, 1982.
doi:10.1364/JOSA.72.001084 Google Scholar
8. Neyer, A., W. Mevenkamp, L. Thylen, and B. Lagerstrom, "A beam propagation method analysis of active and passive waveguide crossings," IEEE/OSA J. Lightwave Tech., Vol. 3, No. 3, 635-642, 1985.
doi:10.1109/JLT.1985.1074239 Google Scholar
9. Danielsen, P., "Two-dimensional propagating beam analysis of an electrooptic waveguide modulator," IEEE J. Quantum Electron., Vol. 20, No. 9, 1093-1097, 1984.
doi:10.1109/JQE.1984.1072507 Google Scholar
10. Kaczmarski, P., P. Lagasse, and J. Vandewege, "Propagatingbeam model for a single-mode fiber fused coupler," IEE Proc., Vol. 134 , Pt. J, No. 2, 111-116, 1987. Google Scholar
11. Lamouroux, B. and B. Prade, "Three-dimensional beam-propagation method treatment of a monomode optical-fiber half-coupler," J. Opt. Soc. Am. A, Vol. 4, No. 12, 2228-2232, 1987.
doi:10.1364/JOSAA.4.002228 Google Scholar
12. Thylen, L., E. M. Wrightm, G. I. Stegeman, C. T. Seaton, and J. V. Moloney, "Beam-propagation method analysis of a nonlinear directional coupler," Opt. Lett., Vol. 11, No. 11, 739-741, 1986.
doi:10.1364/OL.11.000739 Google Scholar
13. Lagasse, P. E. and R. Baets, "Application of propagating beam methods to electromagnetic and acoustic wave propagation problems: A review," Radio Sci., Vol. 22, No. 7, 1225-1233, 1987. Google Scholar
14. Rolland, C., G. Mak, K. Fox, D. Adams, A. Thorpe, D. Yevick, and B. Hermansson, "Analysis of strongly-guiding rib waveguide S-bends: Theory and experiment," Electron. Lett., Vol. 25, 1256-1257, 1989. Google Scholar
15. Yevick, D. and M. Glasner, "Forward wide-angle light propagation in semiconductor rib waveguide and integrated optic structures," Electron. Lett., Vol. 25, 1611-1613, 1989. Google Scholar
16. Splett, A., M. Majd, and K. Petermann, "A novel beam propagation method for large refractive index steps and large propagation distances," IEEE Photo. Tech Lett., Vol. 3, No. 5, 466-468, 1991. Google Scholar
17. Yevick, D. and B. Hermansson, "Split-step finite-difference analysis of rib waveguides," Electron. Lett., Vol. 25, 461-463, 1989. Google Scholar
18. Yevick, D. and B. Hermansson, "Efficient beam propagation techniques," IEEE J. Quantum Electron., Vol. 26, No. 1, 109-112, 1990. Google Scholar
19. Hendow, S. T. and S. A. Shakir, "Recursive numerical solution for nonlinear wave propagation in fibers and cylindrically symmetric systems," Appl. Opt., Vol. 25, No. 11, 1759-1764, 1986. Google Scholar
20. Chung, Y. and N. Dagli, "An Assessment of finite difference beam propagation method," IEEE J. Quantum Electron., Vol. 26, No. 8, 1135-1139, 1990. Google Scholar
21. Scarmozzino, R., R. M. Osgood, and Jr., "Comparison of finitedifference and Fourier-transform solutions of the parabolic wave equation with emphasis on integrated-optics applications," J. Opt. Soc. Am. A, Vol. 8, No. 5, 724-731, 1991. Google Scholar
22. Yevick, D., J. Yu, M. Munowitz, and D. Vezzetti, "Modal analyses of semiconductor rib waveguides employing nonequidistant grids," J. Opt. Soc. Am. A, Vol. 8, No. 9, 1385-1388, 1991. Google Scholar
23. Artiglia, M., P. D. Vita, M. Potenza, G. Coppa, G. Lapenta, and P. Ravetto, "Variable grid finite difference methods for study of longitudinally varying planar waveguides," Electron. Lett., Vol. 27, 474-475, 1991. Google Scholar
24. Kim, C. M. and R. V. Rarnaswamy, "Modeling of graded-index channel waveguides using nonuniform finite difference method," IEEE/OSA J. Lightwave Tech., Vol. 7, No. 14, 1581-1589, 1989. Google Scholar
25. Seki, S., T. Yamanaka, and K. Yokoyama, "Two-dimensional analysis of optical waveguides with a nonmform finite-difference method," IEE Proc., Vol. 138, Pt. J, No. 2, 123-127, 1991. Google Scholar
26. Schmidt, F. and H.-P. Nolting, "Adaptive multilevel beam propagation method," IEEE Photon. Tech. Lett., Vol. 4, No. 12, 1381-1383, 1992. Google Scholar
27. Huang, W. P., C. L. Xu, S. T. Chu, and S. K. Chaudhuri, "A vector beam propagation method for guided-wave optics," IEEE Photon. Tech. Lett., Vol. 3, No. 10, 910-913, 1991. Google Scholar
28. Huang, W. P., C. L. Xu, S. T. Chu, S, and K. Chaudhuri, "A finite difference vector beam propagation method: analysis and assessment," IEEE/OSA J. Lightwave Technol., Vol. 10, No. 3, 295-305, 1992. Google Scholar
29. Liu, P.-L. and B.-J. Li, "Study of form birefringence in waveguide devices using the semivectorial beam propagation method," IEEE Photon. Tech. Lett., Vol. 3, No. 10, 913-915, 1991. Google Scholar
30. Liu, P.-L. and B.-J. Li, "Semivectorial beam-propagation method for analyzing polarized modes of rib waveguides," IEEE J. Quantum Electrron., Vol. 28, No. 4, 778-782, 1992. Google Scholar
31. Huang, W. P., C. L. Xu, and S. K. Chaudhuri, "A vector beam propagation method based on H-fields," IEEE Photon. Tech. Lett., Vol. 3, No. 12, 1117-1120, 1991. Google Scholar
32. Huang, W. P., C. L. Xu, and S. K. Chaudhuri, "A finite-difference vector beam propagation method for three-dimensional waveguide structures," IEEE Photon. Tech. Lett., Vol. 4, No. 2, 148-151, 1992. Google Scholar
33. Chung, Y., N. Dagli, and L. Thylen, "Explicit finite difference vectorial beam propagation method," Electron. Lett., Vol. 27, 2119-2121, 1991. Google Scholar
34. Bothe, M., A. Splett, D. Unlenderf, and K. Pertermann, "Series-expansion-beam-propagation-method for the vector wave equation," IPR '93, paper WE5-l, Palm Spring, California, 1993. Google Scholar
35. Chung, Y., N. Dagli, and L. Thylen, "An explicit finite difference wide angle beam propagation method," IPR'93, paper ITuI4, Palm Spring, California, 1993. Google Scholar
36. Huang, W. P., C. L. Xu, and S. K. Chaudhuri, "A wide angle vector beam propagation method," IEEE Photon. Tech. Lett., Vol. 4, No. 10, 1118-1120, 1992. Google Scholar
37. Xu, C. L., W. P. Huang, S. K. Chaudhuri, and J. Chrostowski, "A unconditionally stable vectorial beam propagation method," IEEE Photon. Tech. Lett., to be published in April, 1994. Google Scholar
38. Hadley, G. R., "Wide-angle beam propagation with a transparent boundary condition," IPR'92, New Orleans, paper WE3-1, 1992. Google Scholar
39. Hadley, G. R., "Wide-angle beam propagation using Pade approximation operators," Opt. Lett., Vol. 17, No. 20, 1426-1428, 1992. Google Scholar
40. Press, W. H., B. P. Flannery, S. A. Teckolsky, and W. T. Vetterling, Numerical Recipes, 1986.
41. Behie, A. and P. K. W. Vinsome, "Block iterative methods for fully implicit reservoir simulation," Soc. Pet. Eng. J., No. 10, 658-668, 1982. Google Scholar
42. Van Der Vorst, H. A., "Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear system," SIAM J. Sci. Statist. Comput., Vol. 13, 631-644, 1992. Google Scholar
43. Van Der Vorst, H. A., "Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear system," SIAM J. Sci. Statist. Comput., Vol. 13, 631-644, 1992. Google Scholar
44. Hadley, R. G., "Transparent boundary condition for beam propagation methods," Opt. Lett., Vol. 16, No. 9, 624-626, 1991. Google Scholar
45. Tarnir, T., Ed., Guide- Wave Optoelectronics, New York, Springer Ser., 1988.
46. Mikami, O., "LiNbO3 coupled-waveguided TE/TM mode splitter," Appl. Phys. Lett., Vol. 36, 491-493, 1980. Google Scholar
47. Alferness, R. C. and R. V. Schmidt, "Tunable optical waveguide directional coupler filter," Appl. Phys. Lett., Vol. 33, 161-163, 1978. Google Scholar
48. Schmidt, R. V. and R. C. Alferness, "Directional coupler switches, modulators, and filters using alternating Δβ techniques," IEEE Trans. Circuits Syst., Vol. 26, 1099-1108, 1979. Google Scholar
49. Hong, J., Modeling of passive and active grating-coupled guidedwave devices, Ph.D. thesis, University of Waterloo, 1994.
50. Huang, W. P., B. Little, and C. L. Xu, "On phase matching and power coupling in grating-assisted couplers," IEEE Photon. Tech. Lett., Vol. 4, No. 2, 151-153, 1992. Google Scholar
51. Shani, Y., R. Alferness, T. Kock, U. Koren, M. Oron, B. I. Miller, and M. G. Young, "Polarization rotation in asymmetric periodic loaded rib waveguides," Appl. Phys. Lett., Vol. 59, No. 11, 1278-1280, 1991. Google Scholar
52. Huang, W. P. and Z. M. Mao, "Polarization rotation in periodic loaded rib waveguides," IEEE J. Lightwave Technol., Vol. 10, No. 12, 1825-1831, 1992. Google Scholar
53. Chung, Y. and N. Dagli, "Analysis of z-invariant and z-variant semiconductor rib waveguides by explicit finite difference beam propagation method with nonuniform mesh configuration," IEEE J. Quantum Electron., Vol. 27, No. 10, 2296-2305, 1991. Google Scholar
54. Alferness, R. C., "Efficient waveguide electro-optic TE ⇔ TM mode converter/waveguide filter," Appl. Phys. Lett., Vol. 36, 513-515, 1980. Google Scholar
55. Stolen, R. H., V. Ramaswamy, P. Kaiser, and W. Pleibel, "Linear polarization in birefringent single-mode fibers," Appl. Phys. Lett., Vol. 33, 699-701, 1978. Google Scholar
56. Payne, D. N., A. J. Barlow, and J. J. Hansen, "Development of low- and high-birefringence fibers," IEEE J. Quantum Electron., Vol. 18, No. 4, 477-487, 1982. Google Scholar
57. Thylen, T. and D. Yevick, "Beam propagation method in anise tropic media," Appl. Opt., Vol. 21, No. 15, 2751-2754, 1982. Google Scholar
58. Fleck, Jr., J. A. and M. D. Feit, "Beam propagation in uniaxial anisotropic media," J. Opt. Soc. Am., Vol. 73, No. 7, 920--926, 1983. Google Scholar
59. Liu, J. M. and L. Gomelsky, "Vectorial beam propagation method," J. Opt. Soc. Am. A, Vol. 9, No. 9, 1574-1585, 1992. Google Scholar
60. Martin, O. J. F., R. Clauberg, and F.-K. Reinhart, "Three-dimensional vectorial beam propagation method for anisotropic medium," IPR'93, paper ITuI7, Palm Springs, California, 1993. Google Scholar
61. Xu, C. L., W. P. Huang, J. Chrostowski, and S. K. Chaudhuri, "A full-vectorial beam propagation methods for anisotropic waveguides," IEEE J. Lightwave Tech., submitted in January, 1994. Google Scholar
62. Snyder, A. W. and F. Ruhl, "Single-mode, single-polarization fibers made of birefringent material," J. Opt. Soc. Am., Vol. 73, No. 9, 1165-1174, 1983. Google Scholar
63. Cancellieri, G., P. Fantini, and M. Tilio, "Single-mode, single-polarization fibers: Effects of a residual polarization coupling," J. Opt. Soc. Am. A, Vol. 2, No. 11, 1885-1890, 1985. Google Scholar