Abstract

While an omnidirectional bandgap is necessary to reflect arbitrary polarized light with a planar periodic reflector at any angle of radiation incidence, we demonstrate that omnidirectionality is not at all necessary for efficient antiguiding of modes of any polarization in low-index core photonic bandgap (PBG) fibers and waveguides. For a given radiation decay rate into the reflector and multilayer bandgap size we characterize the phase space of fiber materials leading to the same effective guiding conditions. We demonstrate that low- and high-index-contrast PBG waveguides can antiguide problematic TM-like modes equally effectively. Finally, the possibility of TE-like guidance of a TM-polarized mode is described.

© 2005 Optical Society of America

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References

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2004 (5)

2003 (2)

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Muller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, Nature 424, 657 (2003).
[CrossRef] [PubMed]

P. Russell, Science 299, 358 (2003).
[CrossRef] [PubMed]

2002 (1)

B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, Nature 420, 650 (2002).
[CrossRef] [PubMed]

2001 (1)

1998 (1)

Akiyama, S.

Allan, D. C.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Muller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, Nature 424, 657 (2003).
[CrossRef] [PubMed]

Benoit, G.

B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, Nature 420, 650 (2002).
[CrossRef] [PubMed]

Bermel, P.

Borrelli, N. F.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Muller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, Nature 424, 657 (2003).
[CrossRef] [PubMed]

Chen, C. C.

Dallas, T.

T. Dallas and P. K. Dasgupta, TrAC, Trends Anal. Chem. 23, 385 (2004).
[CrossRef]

Dasgupta, P. K.

T. Dallas and P. K. Dasgupta, TrAC, Trends Anal. Chem. 23, 385 (2004).
[CrossRef]

Duan, X.

Engeness, T. D.

Fan, S.

Fini, J. M.

J. M. Fini, Meas. Sci. Technol. 15, 1120 (2004).
[CrossRef]

Fink, Y.

Gallagher, M. T.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Muller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, Nature 424, 657 (2003).
[CrossRef] [PubMed]

Hart, S. D.

B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, Nature 420, 650 (2002).
[CrossRef] [PubMed]

Ibanescu, M.

Jacobs, S. A.

Joannopoulos, J. D.

Johnson, S. G.

Katagiri, T.

Kimerling, L. C.

Koch, K. W.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Muller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, Nature 424, 657 (2003).
[CrossRef] [PubMed]

Lo, S. S.

Matsuura, Y.

Miyagi, M.

Muller, D.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Muller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, Nature 424, 657 (2003).
[CrossRef] [PubMed]

Russell, P.

P. Russell, Science 299, 358 (2003).
[CrossRef] [PubMed]

Skorobogatiy, M.

Smith, C. M.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Muller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, Nature 424, 657 (2003).
[CrossRef] [PubMed]

Soljacic, M.

Temelkuran, B.

B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, Nature 420, 650 (2002).
[CrossRef] [PubMed]

Venkataraman, N.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Muller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, Nature 424, 657 (2003).
[CrossRef] [PubMed]

Wang, M. S.

Weisberg, O.

West, J. A.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Muller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, Nature 424, 657 (2003).
[CrossRef] [PubMed]

Winn, J. N.

Yeh, P.

P. Yeh, Optical Waves in Layered Media (Wiley, 1988).

Yi, Y.

Meas. Sci. Technol. (1)

J. M. Fini, Meas. Sci. Technol. 15, 1120 (2004).
[CrossRef]

Nature (2)

B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, Nature 420, 650 (2002).
[CrossRef] [PubMed]

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Muller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, Nature 424, 657 (2003).
[CrossRef] [PubMed]

Opt. Express (3)

Opt. Lett. (2)

Science (1)

P. Russell, Science 299, 358 (2003).
[CrossRef] [PubMed]

TrAC, Trends Anal. Chem. (1)

T. Dallas and P. K. Dasgupta, TrAC, Trends Anal. Chem. 23, 385 (2004).
[CrossRef]

Other (1)

P. Yeh, Optical Waves in Layered Media (Wiley, 1988).

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Figures (4)

Fig. 1
Fig. 1

Schematics of (a) a planar PBG reflector, (b) a planar hollow PBG waveguide and a fundamental TE mode.

Fig. 2
Fig. 2

Schematics of TE and TM radiation decay rates into the quarter-wave stack reflector optimized for an incidence angle θ when (a) ϵ c < ϵ crit , (b) ϵ c > ϵ crit .

Fig. 3
Fig. 3

TE, TM polarizations, θ 90 ° . Circles, examples of high and low index contrast. (a) Field decay rates into the reflector. (b) Relative bandgap sizes.

Fig. 4
Fig. 4

TM and TM ̃ regimes. (a) High index contrast. (b) Low index contrast, Bragg fibers. (c) Field distributions in antiguiding planar waveguides.

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