Abstract

We study the dispersive properties of photonic crystal fibers (PCF’s) with elliptical air holes. The unusual guidance of PCF leads to novel behavior of the birefringence, group-velocity walk-off, and dispersion parameters, including the possibility of zero walk-off with high birefringence in the single-mode regime. A number of these effects are closely tied to the underlying radiation states of the air-hole lattice.

© 2001 Optical Society of America

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    [CrossRef] [PubMed]
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2000

1999

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

B. J. Eggleton, P. S. Westbrook, R. S. Windeler, S. Spälter, and T. A. Strasser, Opt. Lett. 24, 1460 (1999).
[CrossRef]

T. M. Monro, D. J. Richardson, N. G. R. Broderick, and P. J. Bennett, J. Lightwave Technol. 17, 1093 (1999).
[CrossRef]

T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajard, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series, (Optical Society of America, Washington, D.C., 1999), paper FG4-1.

1998

D. Mogilevtsev, T. A. Birks, and P. St. J. Russell, Opt. Lett. 23, 1662 (1998).
[CrossRef]

J. C. Knight, J. Boreng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[CrossRef] [PubMed]

1997

T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 22, 961 (1997).
[CrossRef] [PubMed]

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

1993

R. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Alerhand, O. L.

R. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Allan, D. C.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajard, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series, (Optical Society of America, Washington, D.C., 1999), paper FG4-1.

Andrés, P.

Barkou, S. E.

J. Broeng, S. E. Barkou, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), 2000 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 2000), paper ThG2-1.

Bennett, P. J.

Birks, T. A.

T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajard, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series, (Optical Society of America, Washington, D.C., 1999), paper FG4-1.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

J. C. Knight, J. Boreng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[CrossRef] [PubMed]

D. Mogilevtsev, T. A. Birks, and P. St. J. Russell, Opt. Lett. 23, 1662 (1998).
[CrossRef]

T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 22, 961 (1997).
[CrossRef] [PubMed]

Bjarklev, A.

J. Broeng, S. E. Barkou, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), 2000 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 2000), paper ThG2-1.

Boreng, J.

J. C. Knight, J. Boreng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[CrossRef] [PubMed]

Broderick, N. G. R.

Broeng, J.

J. Broeng, S. E. Barkou, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), 2000 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 2000), paper ThG2-1.

T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajard, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series, (Optical Society of America, Washington, D.C., 1999), paper FG4-1.

Brommer, K. D.

R. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Burdge, G. L.

Cregan, R. F.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

Dyott, R. B.

R. B. Dyott, Elliptical Fiber Waveguides (Artech, Boston, Mass., 1995).

Eggleton, B. J.

Fajard, J. C.

T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajard, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series, (Optical Society of America, Washington, D.C., 1999), paper FG4-1.

Ferrando, A.

Joannopoulos, J. D.

R. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Kerbage, C.

Knight, J. C.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajard, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series, (Optical Society of America, Washington, D.C., 1999), paper FG4-1.

J. C. Knight, J. Boreng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[CrossRef] [PubMed]

T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 22, 961 (1997).
[CrossRef] [PubMed]

Mangan, B. J.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

Marcuse, D.

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

Meade, R.

R. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Menyuk, C. R.

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

Miret, J. J.

Mogilevtsev, D.

T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajard, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series, (Optical Society of America, Washington, D.C., 1999), paper FG4-1.

D. Mogilevtsev, T. A. Birks, and P. St. J. Russell, Opt. Lett. 23, 1662 (1998).
[CrossRef]

Monro, T. M.

Ranka, J. K.

Rappe, A. M.

R. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Richardson, D. J.

Roberts, P. J.

T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajard, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series, (Optical Society of America, Washington, D.C., 1999), paper FG4-1.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

Russell, P. St. J.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajard, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series, (Optical Society of America, Washington, D.C., 1999), paper FG4-1.

J. C. Knight, J. Boreng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[CrossRef] [PubMed]

D. Mogilevtsev, T. A. Birks, and P. St. J. Russell, Opt. Lett. 23, 1662 (1998).
[CrossRef]

T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 22, 961 (1997).
[CrossRef] [PubMed]

Silvestre, E.

Spälter, S.

Stentz, A. J.

Strasser, T. A.

Vassallo, C.

C. Vassallo, Optical Waveguide Concepts (Elsevier, Amsterdam, 1991).

Wai, P. K. A.

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

West, J. A.

T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajard, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series, (Optical Society of America, Washington, D.C., 1999), paper FG4-1.

Westbrook, P. S.

White, C. A.

Windeler, R. S.

1999 OSA Technical Digest Series

T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajard, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series, (Optical Society of America, Washington, D.C., 1999), paper FG4-1.

2000 OSA Technical Digest Series

J. Broeng, S. E. Barkou, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), 2000 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 2000), paper ThG2-1.

J. Lightwave Technol.

Opt. Lett.

Phys. Rev. B

R. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Science

J. C. Knight, J. Boreng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[CrossRef] [PubMed]

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

Other

C. Vassallo, Optical Waveguide Concepts (Elsevier, Amsterdam, 1991).

R. B. Dyott, Elliptical Fiber Waveguides (Artech, Boston, Mass., 1995).

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Figures (3)

Fig. 1
Fig. 1

Effective index of the fundamental bound modes for A=0.3 and η=1,2,4. Solid and dashed curves, bound modes; dotted curves, corresponding FSM states; open circles, circular-hole fiber η=1. Inset, y-mode profile for parameters A=0.2, η=3, and ν=1.25 with 3-dB contours.

Fig. 2
Fig. 2

Walk-off parameter Δng with frequency for areas A=0.075 and A=0.3 and ellipticities η=1.25,1.5,2,3,4; the largest ellipticities have the lowest minima. Plus signs and dotted curves, frequency range for which the A=0.3 fibers are multimode. The long-dashed curves show 10  times the walk-off parameter of standard elliptical fibers, with A=3.142,Δn=0.05, and η=2,4.

Fig. 3
Fig. 3

Material, (dashed curves) waveguide, and (solid curves) total dispersion in an elliptical-hole PCF with A=0.28 μm2, η=3, and pitch Λ=2.58 μm.

Equations (1)

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Δngngy-ngx=Δneff+νdΔneffdν,

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