Abstract

We describe the differential multipole method, an extended multipole method used to calculate the modes of microstructured optical fibers with noncircular inclusions. We use a multipole expansion centered on each inclusion and a differential method to calculate the scattering properties of the individual inclusions. Representative results for a fiber with one ring of elliptical inclusions are presented, and a direct comparison is made with an existing method. The new method is also applied to a microstructured optical fiber with seven rings of elliptical inclusions, which is found, in effect, to support a single polarization of the fundamental mode.

© 2004 Optical Society of America

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2004 (2)

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, “Absolutely single polarization photonic crystal fiber,” IEEE Photonics Technol. Lett. 16, 182–184 (2004).

N. A. Issa, M. A. van Eijkelenborg, M. Fellew, F. Cox, G. Henry, and M. C. J. Large, “Fabrication and study of microstructured optical fibers with elliptical holes,” Opt. Lett. 29, 1336–1338 (2004).

2003 (1)

2002 (3)

2001 (3)

E. Popov and M. Nevière, “Maxwell equations in Fourier space: a fast-converging formulation for diffraction by arbitrary shaped, periodic, anisotropic media,” J. Opt. Soc. Am. B 18, 2886–2894 (2001).

M. J. Steel and R. M. Osgood, Jr., “Elliptical-hole photonic crystal fibers,” Opt. Lett. 26, 229–231 (2001).

M. J. Steel and R. M. Osgood, Jr., “Polarization and dispersive properties of elliptical-hole photonic crystal fibers,” J. Lightwave Technol. 19, 495–503 (2001).

2000 (2)

1998 (1)

1997 (1)

1996 (1)

1994 (2)

K. M. Lo, R. C. McPhedran, I. M. Bassett, and G. W. Milton, “An electromagnetic theory of dielectric waveguides with multiple embedded cylinders,” J. Lightwave Technol. 12, 396–410 (1994).

C. Chang and H. Chang, “Theory of the circular harmonics expansion method for multiple-optical-fiber system,” J. Lightwave Technol. 12, 415–417 (1994).

1980 (1)

1973 (1)

Bassett, I. M.

K. M. Lo, R. C. McPhedran, I. M. Bassett, and G. W. Milton, “An electromagnetic theory of dielectric waveguides with multiple embedded cylinders,” J. Lightwave Technol. 12, 396–410 (1994).

Birks, T. A.

Botten, L. C.

Burdge, G. L.

Chang, C.

C. Chang and H. Chang, “Theory of the circular harmonics expansion method for multiple-optical-fiber system,” J. Lightwave Technol. 12, 415–417 (1994).

Chang, H.

C. Chang and H. Chang, “Theory of the circular harmonics expansion method for multiple-optical-fiber system,” J. Lightwave Technol. 12, 415–417 (1994).

Cox, F.

Eggleton, B. J.

Feit, M. D.

Fellew, M.

Fleck, J. J. A.

Henry, G.

Issa, N. A.

Kawanishi, S.

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, “Absolutely single polarization photonic crystal fiber,” IEEE Photonics Technol. Lett. 16, 182–184 (2004).

Kerbage, C.

Knight, J. C.

Koyanagi, S.

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, “Absolutely single polarization photonic crystal fiber,” IEEE Photonics Technol. Lett. 16, 182–184 (2004).

Kubota, H.

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, “Absolutely single polarization photonic crystal fiber,” IEEE Photonics Technol. Lett. 16, 182–184 (2004).

Kuhlmey, B. T.

Large, M. C. J.

Li, L.

Lo, K. M.

K. M. Lo, R. C. McPhedran, I. M. Bassett, and G. W. Milton, “An electromagnetic theory of dielectric waveguides with multiple embedded cylinders,” J. Lightwave Technol. 12, 396–410 (1994).

Martijn de Sterke, C.

Maystre, D.

McPhedran, R. C.

Milton, G. W.

K. M. Lo, R. C. McPhedran, I. M. Bassett, and G. W. Milton, “An electromagnetic theory of dielectric waveguides with multiple embedded cylinders,” J. Lightwave Technol. 12, 396–410 (1994).

Nevière, M.

E. Popov and M. Nevière, “Maxwell equations in Fourier space: a fast-converging formulation for diffraction by arbitrary shaped, periodic, anisotropic media,” J. Opt. Soc. Am. B 18, 2886–2894 (2001).

Osgood Jr., R. M.

Poladian, L.

Popov, E.

E. Popov and M. Nevière, “Maxwell equations in Fourier space: a fast-converging formulation for diffraction by arbitrary shaped, periodic, anisotropic media,” J. Opt. Soc. Am. B 18, 2886–2894 (2001).

Ranka, J. K.

Renversez, G.

Robinson, O. A.

Russell, P. St. J.

Steel, M. J.

Stentz, A. J.

Tanaka, M.

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, “Absolutely single polarization photonic crystal fiber,” IEEE Photonics Technol. Lett. 16, 182–184 (2004).

van Eijkelenborg, M. A.

Westbrook, P. S.

White, C. A.

White, T. P.

Wijngaard, W.

Windeler, R. S.

Yamaguchi, S.

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, “Absolutely single polarization photonic crystal fiber,” IEEE Photonics Technol. Lett. 16, 182–184 (2004).

Appl. Opt. (1)

IEEE Photonics Technol. Lett. (1)

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, “Absolutely single polarization photonic crystal fiber,” IEEE Photonics Technol. Lett. 16, 182–184 (2004).

J. Lightwave Technol. (5)

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (2)

J. Opt. Soc. Am. B (3)

Opt. Express (1)

Opt. Lett. (4)

Other (4)

M. Nevière and E. Popov, Light Propagation in Periodic Media (Marcel Dekker, New York, 2003).

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).

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

N. Issa, Optical Fibre Technology Centre, 206 National Innovation Centre, Australian Technology Park, Eveleigh New South Wales 1430, Australia, n.issa@oftc.usyd.edu.au (personal communication, 2003).

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