Abstract

It is demonstrated that Bragg reflection waveguides, either planar or cylindrical, can be designed to support a symmetric mode with a specified core field distribution, by adjusting the first layer width. Analytic expressions are given for this matching layer, which matches between the electromagnetic field in the core, and a Bragg mirror optimally designed for the mode. This adjustment may change significantly the characteristics of the waveguide. At the particular wavelength for which the waveguide is designed, the electromagnetic field is identical to that of a partially dielectric loaded metallic or perfect magnetic waveguide, rather than a pure metallic waveguide. Either a planar or coaxial Bragg waveguide is shown to support a mode that has a TEM field distribution in the hollow region.

© 2004 Optical Society of America

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History
Original Manuscript: May 27, 2004
Revised Manuscript: July 1, 2004
Published: July 12, 2004

References

1. P. Yeh and A. Yariv, �??Bragg reflection waveguides,�?? Opt Commun. 19, 427�??430 (1976). [CrossRef]
2. P. Yeh, A. Yariv, and E. Marom, �??Theory of Bragg fiber,�?? J. Opt. Soc. Am. 68, 1196�??1201 (1978).
3. Y. Fink, D. J. Ripin, S. Fan, C. Chen, J. D. Joannopoulos, and E. L. Thomas, �??Guiding optical light in air using an all-dielectric structure,�?? J. Lightwave Technol. 17, 2039�??2041 (1999). [CrossRef]
4. B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, �??Wavelength-scalable hollow optical fibres with large Photonic bandgaps for CO2 laser transmission,�?? Nature 420, 650�??653 (2002). [CrossRef]
5. S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Solja�?i�?, S. A. Jacobs, J. D. Joannopoulos, and Y. Fink, �??Low-loss asymptotically single-mode propagation in large-core Omniguide fibers,�?? Opt. Express 9, 748�??779 (2001). <a href="http://www.opticsexpressorg/abstract.cfm?URI=OPEX-9-13-748.">http://www.opticsexpressorg/abstract.cfm?URI=OPEX-9-13-748</a>
6. M. Ibanescu, S. G. Johnson, M. Solja�?i�?, J. D. Joannopoulos, Y. Fink, O.Weisberg, T. D. Engeness, S. A. Jacobs, and M. Skorobogatiy, �??Analysis of mode structure in hollow dielectric waveguide fibers,�?? Phys. Rev. E 67, 046,608 (2003).
7. Y. Xu, R. K. Lee, and A. Yariv, �??Asymptotic analysis of Bragg fibers,�?? Opt. Lett. 25, 1756�??1758 (2000).
8. Y. Xu, G. X. Ouyang, R. K. Lee, and A. Yariv, �??Asymptotic matrix theory of Bragg fibers,�?? J. Lightwave Tech. 20, 428�??440 (2002). [CrossRef]
9. Y. Xu and A. Yariv, �??Asymptotic analysis of Silicon based Bragg fibers,�?? Opt. Express 11, 1039�??1049 (2003). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-9-1039.">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-9-1039</a>
10. G. Ouyang, Y. Xu, and A. Yariv, �??Theoretical study on dispersion compensation in air-core Bragg fibers,�?? Opt. Express 10, 899�??908 (2002). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-17-899">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-17-899</a>
11. M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, �??An all-dielectric coaxial waveguide,�?? Science 289, 415�??419 (2000). [CrossRef]
12. Y. Xu, R. K. Lee, and A. Yariv, �??Asymptotic analysis of dielectric coaxial fibers,�?? Opt. Lett. 27, 1019�??1021 (2002).
13. G. Ouyang, Y. Xu, and A. Yariv, �??Comparative study of air-core and coaxial Bragg fibers: single-mode transmission and dispersion characteristics,�?? Opt. Express 9, 733�??747 (2001). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-9-13-733">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-9-13-733</a>
14. T. D. Engeness, M. Ibanescu, S. G. Johnson, O. Weisberg, M. Skorobogatiy, S. Jacobs, and Y. Fink, �??Dispersion tailoring and compensation by modal interactions in Omniguide fibers,�?? Opt. Express 11, 1175�??1196 (2003). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-10-1175">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-10-1175</a>
15. A. Mizrahi and L. Schächter, �??Optical Bragg accelerators,�?? Phys. Rev. E (to be published) (2004).
16. F. Benabid, J. C. Knight, and P. S. J. Russell, �??Particle levitation and guidance in hollow-core photonic crystal fiber,�?? Opt. Express 10, 1195�??1203 (2002). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-21-1195">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-21-1195</a>
17. G. Lenz, E. Baruch, and J. Salzman, �??Polarization discrimination properties of Bragg-reflection waveguides,�?? Opt. Lett. 15, 1288�??1290 (1990).
18. C. M. de Sterke, I. M. Bassett, and A. G. Street, �??Differential losses in Bragg fibers,�?? J. Appl. Phys. 76, 680�??688 (1994). [CrossRef]
19. P. Yeh, �??Electromagnetic propagation in birefringent layered media,�?? J. Opt. Soc. Am. 65, 742�??756 (1979).

Author Affiliations

Amit Mizrahi, Levi Schächter

Technion - Israel Institute of Technology

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