Publication: Three-dimensional analysis of bending losses in dielectric optical waveguides with arbitrary refractive-index profile
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1987-04
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Optical Society of America
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Abstract
A three-dimensional analysis of bending losses in dielectric optical waveguides is presented. It constitutes a nontrivial generalization of previous two- and three-dimensional studies by other authors. Our analysis is based on homogeneous integral equations for the total radiation field and suitable asymptotic approximations for Green’s functions. A key role is played by a new three-dimensional approximation for a relevant Bessel function with large order and argument (the former being larger than the latter). A nontrivial check of the consistency of all those approximations is given. General formulas are presented for the radiated field and the energy flow and for a bending-loss coefficient in three dimensions. Numerical results are also given, in order to assess the difference between the results of other authors and ours. Such a difference is rather small for monomode behavior near cutoff, increases as the behavior of the waveguide changes from monomode to multimode, and decreases as the parameter V increases for a given core radius and propagation mode.
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© 1987 Optical Society of America.
M. L. Calvo acknowledges the partial financial support received from the Spain-USA Joint Committee for Scientific and Technical Cooperation and is grateful to Jay M. Enoch for his kind hospitality at the School of Optometry, University of California at Berkeley. R. F. Alvarez-Estrada acknowledges the partial financial support received from the Council for International Exchange of Scholars through a Fulbright-MEC Fellowship and is grateful to B. Zumino for his kind hospitality at the Theoretical Physics Group, Lawrence Berkeley Laboratory.
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1. E. A. J. Marcatili, “Bends in optical dielectric guides”, Bell Syst. Tech. J. 48, 2103–2132 (1969); E. A. J. Marcatili, S. E. Miller, “Improved relations describing directional control in electromagnetic wave guidance”, Bell Syst. Tech. J. 48, 2161–2187 (1969).
2. S. J. Maurer, L. B. Felsen, “Ray methods for trapped and slightly leaky modes in multilayered or multiwave regions”, IEEE Trans. Microwave Theory Tech. MTT-18, 584–595 (1970).
3. L. Lewin, “Radiation from curved dielectric slabs and fibers”, IEEE Trans. Microwave Theory Tech. MTT-22, 718–727 (1974).
4. J. A. Arnaud, “Transverse coupling in fiber optics III: bending losses”, Bell Syst. Tech. J. 53, 1379–1394 (1974).
5. E. F. Kuester, D. C. Chang, “Surface wave radiation loss from curved dielectric slabs and fibers”, IEEE J. Quantum Electron. QE-11, 903–907 (1975).
6. D. Marcuse, “Bent optical waveguides with lossy jacket”, Bell Syst. Tech. J. 53, 1079–1101 (1974).
7. J. Sakai, T. Kimura, “Analytical bending loss formula of optical fibers with field deformation”, Radio Sci. 17, 21–29 (1982).
8. D. Marcuse, “Curvature loss formula for optical fibers”,J. Opt. Soc. Am. 66, 216–220 (1976).
9. D. Marcuse, “Field deformation and loss caused by curvature of optical fibers”,J. Opt. Soc. Am. 66, 311–320 (1976).
10. D. Marcuse, “Influence of curvature on the losses of doubly clad fibers”, Appl. Opt. 21, 4208–4213 (1982).
11. D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, New York, 1974), Secs. 2.5 and 4.6.
12. D. Gloge, “Propagation effects in optical fibers”, IEEE Trans. Microwave Theory Tech. MTT-23, 106–120 (1975); “Bending losses in multimode fibers with graded and ungraded core index”, Appl. Opt. 11, 2506–2513 (1972).
13. Y. Takuma, M. Miyagi, S. Kawakami, “Bent asymmetric dielectric slab waveguides”, Appl. Opt. 20, 2291–2298 (1981); M. Miyagi, “Bending losses in hollow and dielectric tube leaky waveguides”, Appl. Opt. 20, 1221–1229 (1981).
14. A. W. Snyder, J. A. White, D. J. Mitchell, “Radiation from bent optical waveguides”, Electron. Lett. 11, 332–333 (1975); J. A. White, “Radiation from bends in optical waveguides: the volume current method”, Microwave Opt. Acoust. 3, 186–188 (1979).
15. J. I. Sakai, “Microbending loss evaluation in arbitrary-index single-mode optical fibers”, IEEE J. Quantum Electron. QE-16, 36–49 (1980).
16. M. A. Miller, V. I. Talanov, “Electromagnetic surface waves guided by a boundary with small curvature”,Z. Tekh. Fiz. 26, 2755 (1956).
17. V. V. Shevchenko, “Radiation losses in bent waveguides for surface waves”, Radiophys. Quantum Electron. 14, 607–614 (1973) (Russian original 1971).
18. W. A. Gambling, D. N. Payne, H. Matsumura, “Radiation from curved single-mode fibers”, Electron. Lett. 12, 567–569 (1976); W. A. Gambling, H. Matsumura, C. M. Ragdale, “Field deformation in a curved single-mode fiber”, Electron. Lett. 14, 130–132 (1978); W. A. Gambling, H. Matsumura, C. M. Ragdale, “Curvature and microbending losses in single-mode optical fibers”, Opt. Quantum Electron. 11, 43–59 (1979).
19. D. Marcuse, Light Transmission Optics (Van Nostrand, New York, 1972), Sec. 9.6.
20. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman and Hall, London, 1983), Chap. 23.
21. M. L. Calvo, R. F. Alvarez-Estrada, “Neutron fibres II: some improving alternatives and analysis of bending losses”,J. Phys. D 19, 957–973 (1986).
22. P. M. Morse, H. Feschbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. 1, Chap. 7, Sec. 2.
23. M. Abramowitz, I. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1965).
24. A. Erdelyi, Asymptotic Expansions (Dover, New York, 1956), p. 36.