1. For example, see Gloge, D., ed. Optical Fiber Technology, IEEE Press, 1976.
2. Kogelnik, H., "Theory of dielectric waveguides," Integrated Optics, 1975. Google Scholar
3. Arnaud, J. A., "Beam and Fiber Optics," Academic Press, 1976. Google Scholar
4. Hashimoto, M., "A new aspect of guided wave optics—the basic law of action for modal-ray optics," Proc. Sino-Japanese Joint Meeting on Optical Fiber Science and Electromagnetic Theory, 87-92, May 1987. Google Scholar
5. Hashimoto, M., "Principles for modal waves in guided wave optics," Trans. IEICE, Vol. J70-C, No. 11, 1455-1465, 1987. Google Scholar
6. Hashimoto, M. and A. Komiyama, "Ray tracing of wave-normal rays," Trans. IEICE, Vol. J70-C, Vol. 10, 1444-1446, 1987. Google Scholar
7. Hashimoto, M., "On a direct derivation of ray equations from Maupertuis’ variational principle," Trans. IEICE, Vol. J71-C, No. 2, 324-326, 1988. Google Scholar
8. Komiyama, A. and M. Hashimoto, "Ray tracing of wave-normal rays in an inhomogeneous anisotropic medium," Trans. IEICE, Vol. J71-C, No. 2, 327-329, 1988. Google Scholar
9. Hashimoto, M., "The geometrical optics field of guided waves –A geometrical interpretation for the field amplitude–," Trans. IEICE, Vol. J71-C, No. 6, 953-956, 1988. Google Scholar
10. Hashimoto, M. A. and Komiyama, "Two-dimensional ray tracing for wavefronts, wave-normal rays and geometrical optics fields," Trans. IEICE , Vol. J71-C, No. 7, 980-985, 1988. Google Scholar
11. Hashimoto, M. and A. Komiyama, "New ray tracing for waves in inhomogeneous anisotropic media," Proc. Int. Symp. Radio Propagat., 93-96, April 1988. Google Scholar
12. Hashimoto, M., "The law of total reflection in geometrical optics based on wave-normal rays," Trans. IEICE., Vol. J72-C-I, No. 3, 132-138, 1989. Google Scholar
13. Hashimoto, M., "Geometrical description for wave-normal rays in an optical waveguide–Geometrical optics for stationary waves," Proc. Int. URSI Symp., Stockholm, Sweden, 303-305, August 1989. Google Scholar
14. Hashimoto, M., "The geometrical law of total reflection for wavenormal rays on curved boundaries," Trans. IEICE, Vol. J72-C-I, No. 9, 562-564, 1989. Google Scholar
15. Hashimoto, M. and X. J. Zhou, "Geometrical optics analysis for the beam wave propagation in dielectric waveguides," Proc. Japan-China Joint Meeting on Optical Fiber Science and Electromagnetic Theory, 1-10, October 1990. Google Scholar
16. Hashimoto, M., "The geometrical optics of wave-normal rays for totally reflected electromagnetic waves," Trans. IEICE , Vol. J73-C-I, No. 11, 738-740, 1990. Google Scholar
17. Hashimoto, M., "On the wave-normal rays and the reflection coefficients," Trans. IEICE, Vol. J74-C-I, No. 3, 97-99, 1991. Google Scholar
18. Hashimoto, M. and X. J. Zhou, "Geometrical optics analysis for the beam wave propagation in dielectric tapered waveguides," Trans. IEICE, Vol. E74, No. 9, 2938-2940, 1991. Google Scholar
19. Hashimoto, M., "Spotsizes of the beam waves propagating along a two-dimensional inhomogeneous medium," Trans. IEICE, Vol. J75-C-I, No. 1, 1-7, 1992. Google Scholar
20. Hashimoto, M., "The geometrical law of total reflection for wavenormal rays on the discontinuous interfaces in inhomogeneous media," Trans. IEICE, Vol. J75-C-I, No. 4, 173-178, 1992. Google Scholar
21. Hashimoto, M., "Geometrical optics of guided waves: Stationary optics for modal waves," Chapter One of the book Analytical and Numerical Methods in Electromagnetic Wave Theory, 1993. Google Scholar
22. Hamilton, W. R., The Mathematical Papers of Sir William Rowan Hamilton, Vol. 1, Cambridge Univ. Press, 1931.
23. Hamilton, W. R. "The Mathematical Papers of Sir William Rowan Hamilton," Cambridge Univ. Press, Vol. 2, 1940. Google Scholar
24. Synge, J. L., Geometrical Mechanics and deBroglie Waves, Cambridge Univ. Press, 1954.
25. Gullstrand, A., "Die reelle optische Abbildung," Kungl. Svenska Vetenska. Handl., Vol. 41, No. 3, 1-119, 1906. Google Scholar
26. Gullstrand, A., "Das allgemeine optische Abbildungssystem," Kungl. Svenska Vetenska. Handl., Vol. 55, 1-139, 1915. Google Scholar
27. Hastings, C. S., "New Methods in Geometrical Optics," Macmillan Company, 1927. Google Scholar
28. Kneisly II, J. A., "Local curvatures of wavefronts in an optical system," J. Opt. Soc. Am., Vol. 54, No. 2, 229-235, 1964. Google Scholar
29. Stavroudis, O. N., The Optics of Rays, Wavefronts, and Caustics, Academic Press, 1972.
30. Booker, H. G., "Propagation of wave-packets incident obliquely upon a stratified doubly refracting ionosphere," Phil. Trans. Roy. Soc. London, Vol. A237, 411-451, 1938.
doi:10.1098/rsta.1938.0012 Google Scholar
31. Maslov, V. P. and M. V. Fedoriuk, Semi-Classical Approximation in Quantum Mechanics, D. Reidel Pub. Co., 1981.
doi:10.1007/978-94-009-8410-3
32. Hongo, K., Y. Ji, and E. Nakajima, "High-frequency expression for the field in the caustic region of a reflector using Maslov’s method ," Radio Sci., Vol. 21, No. 6, 911-919, 1986.
doi:10.1029/RS021i006p00911 Google Scholar
33. Maupertuis, P. L. M., "Accord de differentes,", 31-42, 1746. Google Scholar
34. Cerven´y, V. and F. Horn, "The ray series method and dynamic ray tracing system for three-dimensional inhomogeneous media," Bull. Seism. Soc. Am., Vol. 70, No. 1, 47-77, 1980. Google Scholar
35. Cerven´y, V., M. M. Popov, and I. P˘sen˘clk, "Computation of wave fields in inhomogeneous media—Gaussian beam approach," Geophys. J. R. Astr. Soc., Vol. 70, 109-128, 1982.
doi:10.1111/j.1365-246X.1982.tb06394.x Google Scholar
36. Hashimoto, M., "On the magnitude of the image source of a spherical and nonspherical wave reflected upon an interface," Trans. IEICE, Vol. J75-C-I, No. 8, 561-563, 1992. Google Scholar
37. Brekhovskikh, L. M., Waves in Layered Media, Academic Press, 1960.
38. Keller, J. B. and W. Streifer, "Complex rays with an application to Gaussian beams," J. Opt. Soc. Am., Vol. 61, No. 1, 40-43, 1971. Google Scholar
39. Deschamps, G. A., "Gaussian beam as a bundle of complex rays," Electron. Lett., Vol. 7, No. 23, 684-685, 1971.
doi:10.1049/el:19710467 Google Scholar
40. Felsen, L. B. and S. Y. Shin, "Rays, beams and modes pertaining to the excitation of dielectric waveguides," IEEE Trans. Microwave Theory Tech., Vol. MTT-23, No. 1, 150-161, 1975.
doi:10.1109/TMTT.1975.1128516 Google Scholar
41. Suedan, G. A. and E. V. Jull, "Two-dimensional beam diffraction by a half-plane and wide slit," IEEE Trans. Antennas Propagat., Vol. AP-35, No. 9, 1077-1083, 1987.
doi:10.1109/TAP.1987.1144223 Google Scholar
42. Hashimoto, M., "Beam waves with sources at complex location," Electron. Lett., Vol. 21, No. 23, 1096-1097, 1985.
doi:10.1049/el:19850778 Google Scholar
43. Hashimoto, H. and M. Hashimoto, "Geometrical optics based on wavenormal rays—Contributions of leaky ray sources to guided waves in dielectric waveguides–," Proc. Sino-Japanese Joint Meeting on Optical Fiber Science and Electromagnetic Theory, 345-350, October 1993. Google Scholar
44. 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, 1982.
doi:10.1364/AO.21.001972 Google Scholar
45. Cada, M., F. Xiang, and L. B. Felsen, "Intrinsic modes in tapered optical waveguides," IEEE J. Quantum. Electron., Vol. 24, No. 5, 758-765, 1988.
doi:10.1109/3.191 Google Scholar