Abstract

We made an all-silica optical fiber by embedding a central core in a two-dimensional photonic crystal with a micrometer-spaced hexagonal array of air holes. An effective-index model confirms that such a fiber can be single mode for any wavelength. Its useful single-mode range within the transparency window of silica, although wide, is ultimately bounded by a bend-loss edge at short wavelengths as well as at long wavelengths.

© 1997 Optical Society of America

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References

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  1. J. C. Knight, T. A. Birks, P. St. J. Russell, and D. M. Atkin, Opt. Lett. 21, 1547 (1996); Opt. Lett. 22, 484 (1997).
    [CrossRef] [PubMed]
  2. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, New York, 1983).
  3. T. A. Birks, P. J. Roberts, P. St. J. Russell, D. M. Atkin, and T. J. Shepherd, Electron. Lett. 31, 1941 (1995).
    [CrossRef]
  4. C. Vassallo, Opt. Quantum Electron. 15, 349 (1983).
    [CrossRef]
  5. J. D. Love, Proc. Inst. Electr. Eng. Part J 13, 225 (1989).

1996 (1)

1995 (1)

T. A. Birks, P. J. Roberts, P. St. J. Russell, D. M. Atkin, and T. J. Shepherd, Electron. Lett. 31, 1941 (1995).
[CrossRef]

1989 (1)

J. D. Love, Proc. Inst. Electr. Eng. Part J 13, 225 (1989).

1983 (1)

C. Vassallo, Opt. Quantum Electron. 15, 349 (1983).
[CrossRef]

Atkin, D. M.

J. C. Knight, T. A. Birks, P. St. J. Russell, and D. M. Atkin, Opt. Lett. 21, 1547 (1996); Opt. Lett. 22, 484 (1997).
[CrossRef] [PubMed]

T. A. Birks, P. J. Roberts, P. St. J. Russell, D. M. Atkin, and T. J. Shepherd, Electron. Lett. 31, 1941 (1995).
[CrossRef]

Birks, T. A.

J. C. Knight, T. A. Birks, P. St. J. Russell, and D. M. Atkin, Opt. Lett. 21, 1547 (1996); Opt. Lett. 22, 484 (1997).
[CrossRef] [PubMed]

T. A. Birks, P. J. Roberts, P. St. J. Russell, D. M. Atkin, and T. J. Shepherd, Electron. Lett. 31, 1941 (1995).
[CrossRef]

Knight, J. C.

Love, J. D.

J. D. Love, Proc. Inst. Electr. Eng. Part J 13, 225 (1989).

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, New York, 1983).

Roberts, P. J.

T. A. Birks, P. J. Roberts, P. St. J. Russell, D. M. Atkin, and T. J. Shepherd, Electron. Lett. 31, 1941 (1995).
[CrossRef]

Russell, P. St. J.

J. C. Knight, T. A. Birks, P. St. J. Russell, and D. M. Atkin, Opt. Lett. 21, 1547 (1996); Opt. Lett. 22, 484 (1997).
[CrossRef] [PubMed]

T. A. Birks, P. J. Roberts, P. St. J. Russell, D. M. Atkin, and T. J. Shepherd, Electron. Lett. 31, 1941 (1995).
[CrossRef]

Shepherd, T. J.

T. A. Birks, P. J. Roberts, P. St. J. Russell, D. M. Atkin, and T. J. Shepherd, Electron. Lett. 31, 1941 (1995).
[CrossRef]

Snyder, A. W.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, New York, 1983).

Vassallo, C.

C. Vassallo, Opt. Quantum Electron. 15, 349 (1983).
[CrossRef]

Electron. Lett. (1)

T. A. Birks, P. J. Roberts, P. St. J. Russell, D. M. Atkin, and T. J. Shepherd, Electron. Lett. 31, 1941 (1995).
[CrossRef]

Opt. Lett. (1)

Opt. Quantum Electron. (1)

C. Vassallo, Opt. Quantum Electron. 15, 349 (1983).
[CrossRef]

Proc. Inst. Electr. Eng. Part J (1)

J. D. Love, Proc. Inst. Electr. Eng. Part J 13, 225 (1989).

Other (1)

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, New York, 1983).

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Figures (4)

Fig. 1
Fig. 1

Scanning electron microscope image of the end of a photonic crystal fiber, showing the central core where a hole has been omitted. The pitch Λ is 2.3 µm, and the fiber is 40 µm across.

Fig. 2
Fig. 2

(a) Actual unit cell in the photonic crystal with (b) its circular approximation.

Fig. 3
Fig. 3

Variation of Veff with Λ/λ for various relative hole diameters d/Λ. The dashed line marks Veff=2.405, the cutoff V value for a step-index fiber.

Fig. 4
Fig. 4

Measured short-wavelength loss edge (for 3-dB loss) versus bend radius for a photonic crystal fiber with a single-turn bend (points), together with a fit to λ=constant/R. Inset: Typical transmission spectrum of the bent fiber, relative to the transmission of the straight fiber. The short-wavelength loss edge lies near 600  nm. The long-wavelength loss edge is beyond the range of the measurement for this sample.

Equations (8)

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V=2πρ/λnco2-ncl21/2,
kn0>β>βFSM,
neff=βFSM/k.
Veff=2πΛ/λn02-neff21/2,
Λ2t2ψ+Veff2ψ=0
Veff=kΛF1/2n02-na21/2,
RRc=8π2nco2ρ3λ2W3,
RcΛ3/λ2.

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