An all-dielectric coaxial waveguide

Science

Volumn 289, Issue 5478, 2000, Pages 415-419

  Ibanescu, M ^a   Fink, Y ^a   Fan, S ^a   Thomas, E L ^a   Joannopoulos, J D ^a  

^a Massachusetts Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DIELECTRIC CONSTANT; ELECTROMAGNETIC FIELD; LIGHT REFRACTION; OPTICS; PHYSICS; PRIORITY JOURNAL; SPECTRAL SENSITIVITY;

EID: 0034698217     PISSN: 00368075     EISSN: None     Source Type: Journal    
DOI: 10.1126/science.289.5478.415     Document Type: Article

References (21)

1. R. A. Waldron, Theory of Guided Electromagnetic Waves (Van Nostrand Reinhold, London, 1969).
2. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991).
3. See, for example, S. E. Miller and A. G. Chynoweth, Eds., Optical Fiber Telecommunications (Academic Press, New York, 1979).
4. Y. Fink et al., J. Lightwave Technol. 17, 2039 (1999).
5. J. C. Knight et al., Science 282, 1476 (1998).
6. R. F. Cregan et al., Science 285, 1537 (1999).
7. The first attempts at hollow waveguides in the optical regime actually involved metallodielectric materials. See, for example, M. Miyagi et al., Appl. Phys. Lett. 43, 430 (1983), and Y. Matsuura and J. Harrington, J. Opt. Soc. Am. 14, 6 (1997), and references therein.
8. The first attempts at hollow waveguides in the optical regime actually involved metallodielectric materials. See, for example, M. Miyagi et al., Appl. Phys. Lett. 43, 430 (1983), and Y. Matsuura and J. Harrington, J. Opt. Soc. Am. 14, 6 (1997), and references therein.
9. The waveguide also supports transverse magnetic (TM) modes, but they do not appear in the plot because the cutoff frequency for the lowest lying TM mode is larger than 0.30 (2πc/a).
10. Y. Fink et al., Science 282, 1679 (1998).
11. The idea of radially confining light by means of a dielectric multilayer structure was first investigated by P. Yeh et al. (14). Our work differs in that our waveguide is coaxial, and the multilayer film is chosen so that there exists a frequency range of omnidirectional reflectivity. Both of these properties are important in order to create a TEM-like mode.
12. 2 = 1.8, the original omnidirectional reflectivity frequency range of 0.17 to 0.25 (2πcla) in Fig. 2B reduces to a range of 0.18 to 0.23 (2πc/a), whereas the modal structure shown in Fig. 2C remains essentially unaltered.
13. A. Yariv, Optical Electronics in Modern Communications (Oxford Univ. Press, New York, 1997).
14. C. J. Tranter, Bessel Functions with Some Physical Applications (Hart, New York, 1969).
15. P. Yeh, A. Yariv, E. Marom, J. Opt. Soc. Am. 68, 1196 (1978).
16. R. D. Meade et al., Phys. Rev. B 77, 8434 (1993); erratum: Phys. Rev. B 55, 15942 (1997).
17. The small discontinuity in m = 2 arises from a weak coupling to a resonant mode of the same symmetry localized deep within the core region.
18. N. J. Cronin, Microwave and Optical Waveguides (Institute of Physics, Bristol, UK, 1995).
19. For simplicity, we only consider the intrinsic waveguide dispersion in all our calculations. In a real waveguide, we would also have material dispersion, which can be compensated for in the standard manner by judicious tuning of the waveguide parameters. Indeed, the multitude of available parameters for the coaxial omniguide provides a much greater flexibility to accomplish this than in the case of an optical fiber.
20. We find that the very small group velocity exhibited by the m = 1 mode can be driven even to negative values with a proper choice of waveguide parameters.
21. We thank S. Johnson for many helpful discussions. Supported in part by the U.S. Army Research Office under grant DAAG55-97-1-0366, by the Materials Research Science and Engineering Center of NSF under award DMR-9808941, and by the U.S. Department of Energy under grant DE-FG02-99ER45778.