1. Kurtz, C. N. and W. Streifer, "Guided waves in inhomogeneous focusing media, Part 1: Formulation, solution for quadratic inhomogeneity," IEEE Trans., Microwave Theory Tech., Vol. MTT-17, 11-15, 1969.
doi:10.1109/TMTT.1969.1126872
2. Kirchhoff, H., "Wave propagation along radially inhomogeneous glass fibres," A.E.U., Vol. 27, 13-18, 1973.
3. Yamada, R. and Y. lnabe, "Guided waves in an optical squarelaw medium," J. Opt. Soc. Am., Vol. 64, 964-968, 1974.
doi:10.1364/JOSA.64.000964
4. Unger, H.-G., Planar Optical Waveguides and Fibres, Clarendon Press, Oxford, 1977.
5. Okoshi, T., Optical Fibers, Academic Press, New York, 1982.
6. Dil, J. G. and H. Blok, "Propagation characteristics of radially inhomogeneous optical waveguides," Opto-Electron., Vol. 5, 415-428, 1973.
doi:10.1007/BF01418077
7. Bianciardi, E. and V. Rozzoli, "Propagation in graded-core fibers," Opt. Quantum Electron., Vol. 9, 121-133, 1977.
doi:10.1007/BF00619892
8. Okamoto, K. and T. Okoshi, "Vectorial wave analysis of inhomogeneous optical fibers using finite element method," IEEE Trans. Microwave Theory Tech., Vol. MTT-26, 109-114, 1978.
doi:10.1109/TMTT.1978.1129322
9. Danielsen, P., "lnvestigation of the differences between cut-offfrequencies of scalar and vectorial modes in a single- mode fiber," J. Opt. Commun., Vol. 2, 101-104, 1981.
10. Su, C. C. and C. H. Chen, "Calculation of propagation constants and cutoff frequencies of radially inhomogeneous optical fibers," IEEE Trans. Microwave Theory Tech. , Vol. MTT-34, 328-332, 1986.
11. Hashimoto, M., "Vector wave characteristics of radially inhomogeneous waveguide modes," ibid., Vol. 16, 494-495, 1980.
12. Hashimoto, M., "Cutoff frequencies of vector wave modes in cladded inhomogeneous optical fibre," ibid., Vol. 16, 806-808, 1980.
13. Hashimoto, M., "Asymptotic eigenvalues of vector waves in an inhomogeneous circular waveguide," Opt. Commun., Vol. 34, 43-45, 1980.
doi:10.1016/0030-4018(80)90156-X
14. Hashimoto, M., "Asymptotic vector modes of inhomogeneous circular waveguides," Radio Sci., Vol. 17, 3-9, 1982.
doi:10.1029/RS017i001p00003
15. Hashimoto, M., "Asymptotic theory of vector modes in inhomogeneous optical fibres: uncladded fibres," IEE Proc., Vol. 130, 261-275, 1983.
doi:10.1049/ip-d.1983.0045
16. Tjaden, D. L. A., "Tjaden, D. L. A., “First-order correction to “weak- guidance” approximation in the fibre optics theory," Philips J. Res., Vol. 33, 103-112, 1978.
17. Summut, R. A., C. D. Hussey, J. D. Love, and A. W. Snyder, "Modal analysis of polarization effects in weakly-guiding fibres," IEE Proc., Vol. 128, 173-187, 1981.
doi:10.1049/ip-d.1981.0038
18. Ikuno, H., "Asymptotic eigenvalues of vector wave equation for guided modes in graded-index fibre," Electron. Lett., Vol. 17, 8-9, 1981.
doi:10.1049/el:19810007
19. Ikuno, H., "Vectorial wave analysis of graded-index fibers," ibid., 1981.
19. Ikuno, H., "Vectorial wave analysis of graded-index fibers," ibid., Vol. 17, 37-42, 1982.
20. Ikuno, H., "Vectorial wave analysis of a dual shape core optical fibre with a parabolic centre core," ibid., Vol. 137, 163-170, 1990.
21. Ikuno, H., S. Mori, and A. Yata, "Uniform asymptotic solutions of the vector wave equation for guided modes in inhomogeneous optical fibers with even polynomial profile cores," Trans. IEICE, 406-414, 1992.
22. Schiff, L. I., Quantum Mechanics, 244-245, McGraw-Hill, New York, 1968.
23. Ikuno, H., S. Mori, and A. Yata, "Uniform asymptotic solutions of the scalar wave equation for guided modes in inhomogeneous optical fibers with even polynomial profile cores and its error estimation ," Trans. IEICE, 397-403, 1992.
24. Choudhary, S. and L. B. Felsen, "Guided modes in graded-index optical fibers," J. Opt. Soc. Am., Vol. 67, 1192-1196, 1977.
doi:10.1364/JOSA.67.001192
25. Jacobsen, G. and J. J. Ramskov Hansen, "Propagation constants and group delays of guided modes in graded-index fibers: a comparison of three theories," Appl. Opt., Vol. 18, 2837-2842, 1979.
doi:10.1364/AO.18.002837
26. Ikuno, H., "Propagation constants of guided modes in gradedindex fibre with polynomial-profile core," Electron. Lett., Vol. 15, 762-763, 1979.
doi:10.1049/el:19790544
27. Hashimoto, M., "On the asymptotic eigenvalues of an inhomogeneous circular waveguide," Opt. Commun., Vol. 32, 383-384, 1980.
doi:10.1016/0030-4018(80)90265-5
28. Yata, A. and H. lkuno, "Uniform asymptotic solution to a second order ordinary differential equation in circular-symmetric evenpolynomial potential," Mem. Fac. Eng. Kumamoto Univ., Vol. 35, 1-15, 1990.
29. Moriguchi, H., "An improvement of the WKB method in the presence of of turning points and the asymptotic solutions of a class of Hill equations ," J. Phys. Soc. Japan, Vol. 14, 1771-1796, 1959.
doi:10.1143/JPSJ.14.1771
30. Jacobsen, G., "Evanescent-wave and nonlinear transformation analysis of graded-index fibers," J. Opt. Soc. Am., Vol. 70, 1338-1344, 1980.
doi:10.1364/JOSA.70.001338
31. Adams, M. J., An Introduction to Optical Waveguides, Chichester, John Wiley and Sons, 1981.
32. Cancellieri, G., Single-Mode Optical Fibres, Oxford, Pergamon Press, 1991.
33. Ohkubo, K., M. Kohno, and , Asymptotic Expansions, Kyouiku Shuppan, Tokyo, 1974.
34. Buchberger, E., G. E. Collins, R. Loos, and R. Albrecht, Computer Algebra — Symbolic and Algebraic Computation, Springer, Wien, 1982.
35. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, 504-510, Dover, New York, 1964.
36. Olver, F. W. J., Asymptotics and Special Functions, Academic Press, New York, 1974.
37. Croft, T. D., J. E. Ritter, and V. A. Bhagavatula, "Low-loss dispersion-shifted single-mode fiber manufactured by the OVD process," IEEE J. Lightwave Technol., 931-934, 1985.
doi:10.1109/JLT.1985.1074303
38. Bachmann, P. K., Bachmann, P. K., D. Leers, H. Wehr, D. U. Wiechert, J. A. Van Steenwijk, D. L. A. Tjaden, and E. R. Wehrhahn, "Dispersion flattened single-mode fibers prepared with PCVD: performance, limitations, design optimization," ibid, 858-863, 1986.
39. Ainslie, D. J. and C. R. Day, "A review of single-mode fibers with modified dispersion characteristics," ibid, 967-979, 1986.
40. Yamauchi, R., M. Miyamoto, T. Abiru, K. Nishide, T. Ohashi, O. Fukuda, and K. lnada, "Design and performance of Gaussianprofile dispersion-shifted fibers manufactured by VAD process," ibid., Vol. LT-4, 997-1003, 1986.
41. Kuwaki, K., M. Ohashi, C. Tanaka, N. Uesugi, S. Seikai, and N. Negishi, "Characteristics of dispersion-shifted dual shape core single-mode fibers ," ibid., Vol. LT-5, 792-797, 1987.
42. Ogai, O., A. Iino, K. Matsubara, J. Tamura, M. Koguchi, S.~Nakamura, and E. Kinoshita , "Development and performance of fullyflourine-doped single-mode fibers," ibid., Vol. Lt-6, 1445-1461, 1988.
43. Ikuno, H. and A. Yata, "Uniform asymptotic technique for analyzing wave propagation in inhomogeneous slab waveguides," IEEE Trans. Microwave Theory Tech., Vol. MTT-30, 1958-1963, 1982.
doi:10.1109/TMTT.1982.1131351
44. Maslov, V. P., Theory of Perturbations and Asymptotic Methods, Iwanami, Tokyo, 1976.
45. Tewari, R., P. Pal Bishnu, and U. K. Das, "Dispersion-shifted dual-shape core fibers: Optimization based on spot size definition," J. Lightwave Technol., Vol. LT-l0, 1-5, 1992.
doi:10.1109/50.108727
46. Nakazawa, M., Y. Kimura, and K. Suzuki, "Ultralong dispersionshifted Erbium-doped fiber amplifier and its application to soliton transmission ," IEEE J. Quantum Electron., Vol. 26, 2103-2108, 1990.
doi:10.1109/3.64345
47. Sader, J. E., "lntegral equation analysis for first order vector correction of arbitrary profiles," IEEE J. Quantum Electron., Vol. 27, 2159-2169, 1991.
doi:10.1109/3.135175
48. Kobayashi, S., et al. "Characteristics of optical fibers in infrared wavelength region," Review of ECL, Vol. 26, 453-467, 1978.
49. Fleming, J. W., "Material dispersion in lightguide glasses," Electron. Lett., Vol. 14, 326-328, 1978.
doi:10.1049/el:19780222
50. Sakai, J., "Bending loss of propagation modes in arbitrary index profile optical fibers," Appl. Opt., Vol. 17, 1499-1506, 1978.
doi:10.1364/AO.17.001499
51. Petermann, K., "Constraints for fundamental-mode spot size for broad-band compensated single-mode fibres," Electron. Lett., Vol. 19, 712-714, 1983.
doi:10.1049/el:19830485
52. Yata, A., S. Mori, and H. lkuno, "A note on the design theory of a zero-dispersion optical fiber," Tech. Digest of 4th Opto-Electronics Conference, Vol. 15C1-3, 40-41, July 1992.