Abstract

We establish rigorous necessary analytical conditions for the existence of single-polarization single-mode (SPSM) bandwidths in index-guided microstructured waveguides (such as photonic-crystal fibers). These conditions allow us to categorize designs for SPSM waveguides into four strategies, at least one of which seems previously unexplored. Conversely, we obtain rigorous sufficient conditions for the existence of two cutoff-free index-guided modes in a wide variety of microstructured dielectric waveguides with arbitrary periodic claddings, based on the existence of a degenerate fundamental mode of the cladding (a degenerate light line). We show how such a degenerate light line, in turn, follows from the symmetry of the cladding.

© 2008 Optical Society of America

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    [CrossRef]
  57. D. Mogilevtsev, J. Broeng, S. Barkou, and A. Bjarklev, "Design of polarization-preserving photonic crystal fibres with elliptical pores," J. Opt. A: Pure Appl. Opt. 3, 141-143 (2001).
    [CrossRef]
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    [CrossRef]
  59. S. G. Johnson, M. L. Povinelli, M. Solja??i??, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl. Phys. B 81, 283-293 (2005).
    [CrossRef]

2007 (5)

F. Zhang, M. Zhang, X. Liu, and P. Ye, "Design of wideband single-polarization single-mode photonic crystal fiber," J. Lightwave Technol. 25, 1184-1189 (2007).
[CrossRef]

M. Szpulak, T. Martynkien, J. Olszewski, W. Urbanóczyk, T. Nasilowski, F. Berghmans, and H. Thienpont, "Single-polarization single-mode photonic band gap fiber," Acta Phys. Pol. A 111, 239-245 (2007).

D. Chen and L. Shen, "Highly birefringent elliptical-hole photonic crystal fibers with double defect," J. Lightwave Technol. 25, 2700-2705 (2007).
[CrossRef]

L. Wang and D. Yang, "Highly birefringent elliptical-hole rectangular lattice photonic crystal fibers with modified air holes near the core," Opt. Express 15, 8892-8897 (2007).
[CrossRef]

M. Eguchi and Y. Tsuji, "Single-mode single-polarization holey fiber using anisotropic fundamental space-filling mode," Opt. Lett. 32, 2112-2114 (2007).
[CrossRef]

2006 (3)

D. C. Zografopoulos, E. E. Kriezis, and T. D. Tsiboukis, "Photonic crystal-liquid crystal fibers for singlepolarization or high-birefringent guidance," Opt. Express 14, 914-925 (2006).
[CrossRef]

X. Liu, F. Zhang, M. Zhang, and P. Ye, "A novel single-mode single-polarization photonic crystal fiber using resonant absorption effect," Proc. SPIE 6351, 63,511K (2006).

J. Ju, W. Jin, and M. S. Demokan, "Design of single-polarization single-mode photonic crystal fiber at 1.30 and 1.55 ?m," J. Lightwave Technol. 24, 825-830 (2006).
[CrossRef]

2005 (8)

M.-J. Li, X. Chen, D. A. Nolan, G. E. Berkey, J. Wang,W. A. Wood, and L. A. Zenteno, "High bandwidth single polarization fiber with elliptical central air hole," J. Lightwave Technol. 23, 3454-3460 (2005).
[CrossRef]

M.-J. Li, D. A. Nolan, G. E. Berkey, X. Chen, J. Koh, D. T. Walton, J. Wang, W. A. Wood, and L. A. Zenteno, "High-performance single-polarization optical fibers," Proc. SPIE 5623, 612-621 (2005).

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous materials," Phys. Rev. E 71, 036,617 (2005).

S. Wilcox, L. Botten, C. M. de Sterke, B. Kuhlmey, R. McPhedran, D. Fussell, and S. Tomljenovic-Hanic, "Long wavelength behavior of the fundamental mode in microstructured optical fibers," Opt. Express 13 (2005).
[CrossRef]

S. G. Johnson, M. L. Povinelli, M. Solja??i??, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl. Phys. B 81, 283-293 (2005).
[CrossRef]

Y. C. Liu and Y. Lai, "Optical birefringence and polarization dependent loss of square- and rectangular-lattice holey fibers with elliptical air holes:numerical analysis," Opt. Express 13, 225-235 (2005).
[CrossRef]

J. R. Folkenberg, M. D. Nielsen, and C. Jakobsen, "Broadband single-polarization photonic crystal fiber," Opt. Lett. 30, 1446-1448 (2005).
[CrossRef]

S. Kim, U. C. Paek, and K. Oh, "New defect design in index guiding holey fiber for uniform birefringence and negative flat dispersion over a wide spectral range," Opt. Express 13, 6039-6050 (2005).
[CrossRef]

2004 (1)

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, "Absolutely single polarization photonic crystal fiber," IEEE Photon. Tech. Lett. 16, 182-184 (2004).
[CrossRef]

2003 (2)

P. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003).
[CrossRef]

K. Saitoh and M. Koshiba, "Single-polarization single-mode photonic crystal fibers," IEEE Photon. Tech. Lett. 15, 1384-1386 (2003).
[CrossRef]

2001 (5)

A. Ferrando and J. J. Miret, "Single-polarization single-mode intraband guidance in supersquare photonic crystal fibers," Appl. Phys. Lett. 78, 3184-3186 (2001).
[CrossRef]

D. Mogilevtsev, J. Broeng, S. Barkou, and A. Bjarklev, "Design of polarization-preserving photonic crystal fibres with elliptical pores," J. Opt. A: Pure Appl. Opt. 3, 141-143 (2001).
[CrossRef]

M. J. Steel and R. M. Osgood, "Polarization and dispersive properties of elliptical-hole photonic crystal fibers," J. Lightwave Technol. 19, 495-503 (2001).
[CrossRef]

M. J. Steel, T. P. White, C. M. de Sterke, R. C. McPhedran, and L. C. Botten, "Symmetry and degeneracy in microstructured optical fibers," Opt. Lett. 26, 488-490 (2001).
[CrossRef]

S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Solja??ci???c, 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).

2000 (1)

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, "An All-Dielectric Coaxial Waveguide," Science 289, 415-419 (2000).
[CrossRef]

1997 (1)

1996 (1)

H. P. Urbach, "Analysis of the domain integral operator for anisotropic dielectric waveguides," J. Math. Anal. 27,204-220 (1996).
[CrossRef]

1995 (1)

1994 (1)

A.-S. Bonnet-Bendhia and R. Djellouli, "High-frequency asymptotics of guided modes in optical fibres," IMA J. Appl. Math. 52, 271-287 (1994).
[CrossRef]

1991 (1)

M. J. Messerly, J. R. Onstott, and R. C. Mikkelson, "A broad-band single polarization optical fiber," J. Lightwave Technol. 9, 817-820 (1991).
[CrossRef]

1990 (1)

A. Bamberger and A. S. Bonnet, "Mathematical analysis of the guided modes of an optical fiber," SIAM J. Math. Anal. 21, 1487-1510 (1990).
[CrossRef]

1989 (4)

K. Tajima, M. Ohashi, and Y. Sasaki, "A new single-polarization optical fiber," J. Lightwave Technol. 7, 1499-1503 (1989).
[CrossRef]

K. Yang and M. de Llano, "Simple variational proof that any two-dimensional potential well supports at least one bound state," Am. J. Phys. 57, 85-86 (1989).
[CrossRef]

K. S. Chiang, "Stress-induced birefringence fibers designed for single-polarization single-mode operation," J. Lightwave Technol. 7, 436-441 (1989).
[CrossRef]

F. F. Ruöhl and D. Wong, "True single-polarization design for bow-tie optical fibers," Opt. Lett. 14, 648-650 (1989).

1988 (1)

Y. Chen, "Tapered polarizing anisotropic fibers," Opt. Lett. 13, 598-600 (1988).

1983 (2)

J. R. Simpson, R. H. Stolen, F. M. Sears, W. Pleibel, J. B. Macchesney, and R. E. Howard, "A single-polarization fiber," J. Lightwave Technol. 1, 370-374 (1983).
[CrossRef]

A. W. Snyder and F. Ruöhl, "Single-mode, single-polarization fibers made of birefringent material," J. Opt. Soc. Am. 73, 1165-1174 (1983).

1982 (2)

W. Eickhoff, "Stress-induced single-polarization single-mode fiber," Opt. Lett. 7, 629-631 (1982).

T. Okoshi, K. Oyamada, M. Nishimura, and H. Yakato, "Side tunnel fibre: An approach to polarizationmaintaining optical waveguiding schemes," Electron. Lett. 18, 824-826 (1982).
[CrossRef]

1976 (1)

C. Elachi, "Waves in active and passive periodic structures: A review," Proc. IEEE 64, 1666-1698 (1976).
[CrossRef]

1974 (1)

S. Kawakami and S. Nishida, "Characteristics of a doubly clad optical fiber with a low-index inner cladding," IEEE J. Quantum Electron. 10, 879-887 (1974).
[CrossRef]

1964 (1)

E. A. Marcatili and R. A. Schmeltzer, "Hollow metallic and dielectric waveguides for long distance optical transmission and lasers," Bell Syst. Tech. J. 43, 1783-1809 (1964).

Bamberger, A.

A. Bamberger and A. S. Bonnet, "Mathematical analysis of the guided modes of an optical fiber," SIAM J. Math. Anal. 21, 1487-1510 (1990).
[CrossRef]

Barkou, S.

D. Mogilevtsev, J. Broeng, S. Barkou, and A. Bjarklev, "Design of polarization-preserving photonic crystal fibres with elliptical pores," J. Opt. A: Pure Appl. Opt. 3, 141-143 (2001).
[CrossRef]

Berghmans, F.

M. Szpulak, T. Martynkien, J. Olszewski, W. Urbanóczyk, T. Nasilowski, F. Berghmans, and H. Thienpont, "Single-polarization single-mode photonic band gap fiber," Acta Phys. Pol. A 111, 239-245 (2007).

Berkey, G. E.

M.-J. Li, D. A. Nolan, G. E. Berkey, X. Chen, J. Koh, D. T. Walton, J. Wang, W. A. Wood, and L. A. Zenteno, "High-performance single-polarization optical fibers," Proc. SPIE 5623, 612-621 (2005).

M.-J. Li, X. Chen, D. A. Nolan, G. E. Berkey, J. Wang,W. A. Wood, and L. A. Zenteno, "High bandwidth single polarization fiber with elliptical central air hole," J. Lightwave Technol. 23, 3454-3460 (2005).
[CrossRef]

Birks, T. A.

Bjarklev, A.

D. Mogilevtsev, J. Broeng, S. Barkou, and A. Bjarklev, "Design of polarization-preserving photonic crystal fibres with elliptical pores," J. Opt. A: Pure Appl. Opt. 3, 141-143 (2001).
[CrossRef]

Bonnet, A. S.

A. Bamberger and A. S. Bonnet, "Mathematical analysis of the guided modes of an optical fiber," SIAM J. Math. Anal. 21, 1487-1510 (1990).
[CrossRef]

Bonnet-Bendhia, A.-S.

A.-S. Bonnet-Bendhia and R. Djellouli, "High-frequency asymptotics of guided modes in optical fibres," IMA J. Appl. Math. 52, 271-287 (1994).
[CrossRef]

Botten, L.

S. Wilcox, L. Botten, C. M. de Sterke, B. Kuhlmey, R. McPhedran, D. Fussell, and S. Tomljenovic-Hanic, "Long wavelength behavior of the fundamental mode in microstructured optical fibers," Opt. Express 13 (2005).
[CrossRef]

Botten, L. C.

Broeng, J.

D. Mogilevtsev, J. Broeng, S. Barkou, and A. Bjarklev, "Design of polarization-preserving photonic crystal fibres with elliptical pores," J. Opt. A: Pure Appl. Opt. 3, 141-143 (2001).
[CrossRef]

Chen, D.

D. Chen and L. Shen, "Highly birefringent elliptical-hole photonic crystal fibers with double defect," J. Lightwave Technol. 25, 2700-2705 (2007).
[CrossRef]

Chen, J. C.

Chen, X.

M.-J. Li, D. A. Nolan, G. E. Berkey, X. Chen, J. Koh, D. T. Walton, J. Wang, W. A. Wood, and L. A. Zenteno, "High-performance single-polarization optical fibers," Proc. SPIE 5623, 612-621 (2005).

M.-J. Li, X. Chen, D. A. Nolan, G. E. Berkey, J. Wang,W. A. Wood, and L. A. Zenteno, "High bandwidth single polarization fiber with elliptical central air hole," J. Lightwave Technol. 23, 3454-3460 (2005).
[CrossRef]

Chen, Y.

Y. Chen, "Tapered polarizing anisotropic fibers," Opt. Lett. 13, 598-600 (1988).

Chiang, K. S.

K. S. Chiang, "Stress-induced birefringence fibers designed for single-polarization single-mode operation," J. Lightwave Technol. 7, 436-441 (1989).
[CrossRef]

de Llano, M.

K. Yang and M. de Llano, "Simple variational proof that any two-dimensional potential well supports at least one bound state," Am. J. Phys. 57, 85-86 (1989).
[CrossRef]

de Sterke, C. M.

S. Wilcox, L. Botten, C. M. de Sterke, B. Kuhlmey, R. McPhedran, D. Fussell, and S. Tomljenovic-Hanic, "Long wavelength behavior of the fundamental mode in microstructured optical fibers," Opt. Express 13 (2005).
[CrossRef]

M. J. Steel, T. P. White, C. M. de Sterke, R. C. McPhedran, and L. C. Botten, "Symmetry and degeneracy in microstructured optical fibers," Opt. Lett. 26, 488-490 (2001).
[CrossRef]

Demokan, M. S.

J. Ju, W. Jin, and M. S. Demokan, "Design of single-polarization single-mode photonic crystal fiber at 1.30 and 1.55 ?m," J. Lightwave Technol. 24, 825-830 (2006).
[CrossRef]

Devenyi, A.

Djellouli, R.

A.-S. Bonnet-Bendhia and R. Djellouli, "High-frequency asymptotics of guided modes in optical fibres," IMA J. Appl. Math. 52, 271-287 (1994).
[CrossRef]

Eguchi, M.

Eickhoff, W.

Elachi, C.

C. Elachi, "Waves in active and passive periodic structures: A review," Proc. IEEE 64, 1666-1698 (1976).
[CrossRef]

Engeness, T. D.

Fan, S.

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, "An All-Dielectric Coaxial Waveguide," Science 289, 415-419 (2000).
[CrossRef]

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, "Guided and defect modes in periodic dielectric waveguides," J. Opt. Soc. Am. B 12, 1267-1272 (1995).

Ferrando, A.

A. Ferrando and J. J. Miret, "Single-polarization single-mode intraband guidance in supersquare photonic crystal fibers," Appl. Phys. Lett. 78, 3184-3186 (2001).
[CrossRef]

Fink, Y.

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, "An All-Dielectric Coaxial Waveguide," Science 289, 415-419 (2000).
[CrossRef]

Folkenberg, J. R.

Fussell, D.

S. Wilcox, L. Botten, C. M. de Sterke, B. Kuhlmey, R. McPhedran, D. Fussell, and S. Tomljenovic-Hanic, "Long wavelength behavior of the fundamental mode in microstructured optical fibers," Opt. Express 13 (2005).
[CrossRef]

Howard, R. E.

J. R. Simpson, R. H. Stolen, F. M. Sears, W. Pleibel, J. B. Macchesney, and R. E. Howard, "A single-polarization fiber," J. Lightwave Technol. 1, 370-374 (1983).
[CrossRef]

Ibanescu, M.

Jacobs, S.

S. G. Johnson, M. L. Povinelli, M. Solja??i??, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl. Phys. B 81, 283-293 (2005).
[CrossRef]

Jakobsen, C.

Jin, W.

J. Ju, W. Jin, and M. S. Demokan, "Design of single-polarization single-mode photonic crystal fiber at 1.30 and 1.55 ?m," J. Lightwave Technol. 24, 825-830 (2006).
[CrossRef]

Joannopoulos, J. D.

S. G. Johnson, M. L. Povinelli, M. Solja??i??, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl. Phys. B 81, 283-293 (2005).
[CrossRef]

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, "An All-Dielectric Coaxial Waveguide," Science 289, 415-419 (2000).
[CrossRef]

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, "Guided and defect modes in periodic dielectric waveguides," J. Opt. Soc. Am. B 12, 1267-1272 (1995).

Johnson, S. G.

S. G. Johnson, M. L. Povinelli, M. Solja??i??, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl. Phys. B 81, 283-293 (2005).
[CrossRef]

S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Solja??ci???c, 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).

Ju, J.

J. Ju, W. Jin, and M. S. Demokan, "Design of single-polarization single-mode photonic crystal fiber at 1.30 and 1.55 ?m," J. Lightwave Technol. 24, 825-830 (2006).
[CrossRef]

Karalis, A.

S. G. Johnson, M. L. Povinelli, M. Solja??i??, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl. Phys. B 81, 283-293 (2005).
[CrossRef]

Kawakami, S.

S. Kawakami and S. Nishida, "Characteristics of a doubly clad optical fiber with a low-index inner cladding," IEEE J. Quantum Electron. 10, 879-887 (1974).
[CrossRef]

Kawanishi, S.

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, "Absolutely single polarization photonic crystal fiber," IEEE Photon. Tech. Lett. 16, 182-184 (2004).
[CrossRef]

Kim, S.

Knight, J. C.

Koh, J.

M.-J. Li, D. A. Nolan, G. E. Berkey, X. Chen, J. Koh, D. T. Walton, J. Wang, W. A. Wood, and L. A. Zenteno, "High-performance single-polarization optical fibers," Proc. SPIE 5623, 612-621 (2005).

Koschny, T.

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous materials," Phys. Rev. E 71, 036,617 (2005).

Koshiba, M.

K. Saitoh and M. Koshiba, "Single-polarization single-mode photonic crystal fibers," IEEE Photon. Tech. Lett. 15, 1384-1386 (2003).
[CrossRef]

Koyanagi, S.

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, "Absolutely single polarization photonic crystal fiber," IEEE Photon. Tech. Lett. 16, 182-184 (2004).
[CrossRef]

Kriezis, E. E.

Kubota, H.

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, "Absolutely single polarization photonic crystal fiber," IEEE Photon. Tech. Lett. 16, 182-184 (2004).
[CrossRef]

Kuhlmey, B.

S. Wilcox, L. Botten, C. M. de Sterke, B. Kuhlmey, R. McPhedran, D. Fussell, and S. Tomljenovic-Hanic, "Long wavelength behavior of the fundamental mode in microstructured optical fibers," Opt. Express 13 (2005).
[CrossRef]

Lai, Y.

Li, M.-J.

M.-J. Li, D. A. Nolan, G. E. Berkey, X. Chen, J. Koh, D. T. Walton, J. Wang, W. A. Wood, and L. A. Zenteno, "High-performance single-polarization optical fibers," Proc. SPIE 5623, 612-621 (2005).

M.-J. Li, X. Chen, D. A. Nolan, G. E. Berkey, J. Wang,W. A. Wood, and L. A. Zenteno, "High bandwidth single polarization fiber with elliptical central air hole," J. Lightwave Technol. 23, 3454-3460 (2005).
[CrossRef]

Liu, X.

F. Zhang, M. Zhang, X. Liu, and P. Ye, "Design of wideband single-polarization single-mode photonic crystal fiber," J. Lightwave Technol. 25, 1184-1189 (2007).
[CrossRef]

X. Liu, F. Zhang, M. Zhang, and P. Ye, "A novel single-mode single-polarization photonic crystal fiber using resonant absorption effect," Proc. SPIE 6351, 63,511K (2006).

Liu, Y. C.

Macchesney, J. B.

J. R. Simpson, R. H. Stolen, F. M. Sears, W. Pleibel, J. B. Macchesney, and R. E. Howard, "A single-polarization fiber," J. Lightwave Technol. 1, 370-374 (1983).
[CrossRef]

Marcatili, E. A.

E. A. Marcatili and R. A. Schmeltzer, "Hollow metallic and dielectric waveguides for long distance optical transmission and lasers," Bell Syst. Tech. J. 43, 1783-1809 (1964).

Martynkien, T.

M. Szpulak, T. Martynkien, J. Olszewski, W. Urbanóczyk, T. Nasilowski, F. Berghmans, and H. Thienpont, "Single-polarization single-mode photonic band gap fiber," Acta Phys. Pol. A 111, 239-245 (2007).

McPhedran, R.

S. Wilcox, L. Botten, C. M. de Sterke, B. Kuhlmey, R. McPhedran, D. Fussell, and S. Tomljenovic-Hanic, "Long wavelength behavior of the fundamental mode in microstructured optical fibers," Opt. Express 13 (2005).
[CrossRef]

McPhedran, R. C.

Meade, R. D.

Messerly, M. J.

M. J. Messerly, J. R. Onstott, and R. C. Mikkelson, "A broad-band single polarization optical fiber," J. Lightwave Technol. 9, 817-820 (1991).
[CrossRef]

Mikkelson, R. C.

M. J. Messerly, J. R. Onstott, and R. C. Mikkelson, "A broad-band single polarization optical fiber," J. Lightwave Technol. 9, 817-820 (1991).
[CrossRef]

Miret, J. J.

A. Ferrando and J. J. Miret, "Single-polarization single-mode intraband guidance in supersquare photonic crystal fibers," Appl. Phys. Lett. 78, 3184-3186 (2001).
[CrossRef]

Mogilevtsev, D.

D. Mogilevtsev, J. Broeng, S. Barkou, and A. Bjarklev, "Design of polarization-preserving photonic crystal fibres with elliptical pores," J. Opt. A: Pure Appl. Opt. 3, 141-143 (2001).
[CrossRef]

Nasilowski, T.

M. Szpulak, T. Martynkien, J. Olszewski, W. Urbanóczyk, T. Nasilowski, F. Berghmans, and H. Thienpont, "Single-polarization single-mode photonic band gap fiber," Acta Phys. Pol. A 111, 239-245 (2007).

Nielsen, M. D.

Nishida, S.

S. Kawakami and S. Nishida, "Characteristics of a doubly clad optical fiber with a low-index inner cladding," IEEE J. Quantum Electron. 10, 879-887 (1974).
[CrossRef]

Nishimura, M.

T. Okoshi, K. Oyamada, M. Nishimura, and H. Yakato, "Side tunnel fibre: An approach to polarizationmaintaining optical waveguiding schemes," Electron. Lett. 18, 824-826 (1982).
[CrossRef]

Nolan, D. A.

M.-J. Li, X. Chen, D. A. Nolan, G. E. Berkey, J. Wang,W. A. Wood, and L. A. Zenteno, "High bandwidth single polarization fiber with elliptical central air hole," J. Lightwave Technol. 23, 3454-3460 (2005).
[CrossRef]

M.-J. Li, D. A. Nolan, G. E. Berkey, X. Chen, J. Koh, D. T. Walton, J. Wang, W. A. Wood, and L. A. Zenteno, "High-performance single-polarization optical fibers," Proc. SPIE 5623, 612-621 (2005).

Oh, K.

Ohashi, M.

K. Tajima, M. Ohashi, and Y. Sasaki, "A new single-polarization optical fiber," J. Lightwave Technol. 7, 1499-1503 (1989).
[CrossRef]

Okoshi, T.

T. Okoshi, K. Oyamada, M. Nishimura, and H. Yakato, "Side tunnel fibre: An approach to polarizationmaintaining optical waveguiding schemes," Electron. Lett. 18, 824-826 (1982).
[CrossRef]

Olszewski, J.

M. Szpulak, T. Martynkien, J. Olszewski, W. Urbanóczyk, T. Nasilowski, F. Berghmans, and H. Thienpont, "Single-polarization single-mode photonic band gap fiber," Acta Phys. Pol. A 111, 239-245 (2007).

Onstott, J. R.

M. J. Messerly, J. R. Onstott, and R. C. Mikkelson, "A broad-band single polarization optical fiber," J. Lightwave Technol. 9, 817-820 (1991).
[CrossRef]

Osgood, R. M.

M. J. Steel and R. M. Osgood, "Polarization and dispersive properties of elliptical-hole photonic crystal fibers," J. Lightwave Technol. 19, 495-503 (2001).
[CrossRef]

Oyamada, K.

T. Okoshi, K. Oyamada, M. Nishimura, and H. Yakato, "Side tunnel fibre: An approach to polarizationmaintaining optical waveguiding schemes," Electron. Lett. 18, 824-826 (1982).
[CrossRef]

Paek, U. C.

Pleibel, W.

J. R. Simpson, R. H. Stolen, F. M. Sears, W. Pleibel, J. B. Macchesney, and R. E. Howard, "A single-polarization fiber," J. Lightwave Technol. 1, 370-374 (1983).
[CrossRef]

Povinelli, M. L.

S. G. Johnson, M. L. Povinelli, M. Solja??i??, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl. Phys. B 81, 283-293 (2005).
[CrossRef]

Ruöhl, F.

Ruöhl, F. F.

Russell, P.

P. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003).
[CrossRef]

Russell, P. S. J.

Saitoh, K.

K. Saitoh and M. Koshiba, "Single-polarization single-mode photonic crystal fibers," IEEE Photon. Tech. Lett. 15, 1384-1386 (2003).
[CrossRef]

Sasaki, Y.

K. Tajima, M. Ohashi, and Y. Sasaki, "A new single-polarization optical fiber," J. Lightwave Technol. 7, 1499-1503 (1989).
[CrossRef]

Schmeltzer, R. A.

E. A. Marcatili and R. A. Schmeltzer, "Hollow metallic and dielectric waveguides for long distance optical transmission and lasers," Bell Syst. Tech. J. 43, 1783-1809 (1964).

Sears, F. M.

J. R. Simpson, R. H. Stolen, F. M. Sears, W. Pleibel, J. B. Macchesney, and R. E. Howard, "A single-polarization fiber," J. Lightwave Technol. 1, 370-374 (1983).
[CrossRef]

Shen, L.

D. Chen and L. Shen, "Highly birefringent elliptical-hole photonic crystal fibers with double defect," J. Lightwave Technol. 25, 2700-2705 (2007).
[CrossRef]

Simpson, J. R.

J. R. Simpson, R. H. Stolen, F. M. Sears, W. Pleibel, J. B. Macchesney, and R. E. Howard, "A single-polarization fiber," J. Lightwave Technol. 1, 370-374 (1983).
[CrossRef]

Skorobogatiy, M.

Smith, D. R.

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous materials," Phys. Rev. E 71, 036,617 (2005).

Snyder, A. W.

Solja??i??, M.

S. G. Johnson, M. L. Povinelli, M. Solja??i??, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl. Phys. B 81, 283-293 (2005).
[CrossRef]

Soukoulis, C. M.

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous materials," Phys. Rev. E 71, 036,617 (2005).

Steel, M. J.

M. J. Steel and R. M. Osgood, "Polarization and dispersive properties of elliptical-hole photonic crystal fibers," J. Lightwave Technol. 19, 495-503 (2001).
[CrossRef]

M. J. Steel, T. P. White, C. M. de Sterke, R. C. McPhedran, and L. C. Botten, "Symmetry and degeneracy in microstructured optical fibers," Opt. Lett. 26, 488-490 (2001).
[CrossRef]

Stolen, R. H.

J. R. Simpson, R. H. Stolen, F. M. Sears, W. Pleibel, J. B. Macchesney, and R. E. Howard, "A single-polarization fiber," J. Lightwave Technol. 1, 370-374 (1983).
[CrossRef]

Szpulak, M.

M. Szpulak, T. Martynkien, J. Olszewski, W. Urbanóczyk, T. Nasilowski, F. Berghmans, and H. Thienpont, "Single-polarization single-mode photonic band gap fiber," Acta Phys. Pol. A 111, 239-245 (2007).

Tajima, K.

K. Tajima, M. Ohashi, and Y. Sasaki, "A new single-polarization optical fiber," J. Lightwave Technol. 7, 1499-1503 (1989).
[CrossRef]

Tanaka, M.

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, "Absolutely single polarization photonic crystal fiber," IEEE Photon. Tech. Lett. 16, 182-184 (2004).
[CrossRef]

Thienpont, H.

M. Szpulak, T. Martynkien, J. Olszewski, W. Urbanóczyk, T. Nasilowski, F. Berghmans, and H. Thienpont, "Single-polarization single-mode photonic band gap fiber," Acta Phys. Pol. A 111, 239-245 (2007).

Thomas, E. L.

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, "An All-Dielectric Coaxial Waveguide," Science 289, 415-419 (2000).
[CrossRef]

Tomljenovic-Hanic, S.

S. Wilcox, L. Botten, C. M. de Sterke, B. Kuhlmey, R. McPhedran, D. Fussell, and S. Tomljenovic-Hanic, "Long wavelength behavior of the fundamental mode in microstructured optical fibers," Opt. Express 13 (2005).
[CrossRef]

Tsiboukis, T. D.

Tsuji, Y.

Urbach, H. P.

H. P. Urbach, "Analysis of the domain integral operator for anisotropic dielectric waveguides," J. Math. Anal. 27,204-220 (1996).
[CrossRef]

Urbanóczyk, W.

M. Szpulak, T. Martynkien, J. Olszewski, W. Urbanóczyk, T. Nasilowski, F. Berghmans, and H. Thienpont, "Single-polarization single-mode photonic band gap fiber," Acta Phys. Pol. A 111, 239-245 (2007).

Vier, D. C.

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous materials," Phys. Rev. E 71, 036,617 (2005).

Walton, D. T.

M.-J. Li, D. A. Nolan, G. E. Berkey, X. Chen, J. Koh, D. T. Walton, J. Wang, W. A. Wood, and L. A. Zenteno, "High-performance single-polarization optical fibers," Proc. SPIE 5623, 612-621 (2005).

Wang, J.

M.-J. Li, D. A. Nolan, G. E. Berkey, X. Chen, J. Koh, D. T. Walton, J. Wang, W. A. Wood, and L. A. Zenteno, "High-performance single-polarization optical fibers," Proc. SPIE 5623, 612-621 (2005).

M.-J. Li, X. Chen, D. A. Nolan, G. E. Berkey, J. Wang,W. A. Wood, and L. A. Zenteno, "High bandwidth single polarization fiber with elliptical central air hole," J. Lightwave Technol. 23, 3454-3460 (2005).
[CrossRef]

Wang, L.

Weisberg, O.

White, T. P.

Wilcox, S.

S. Wilcox, L. Botten, C. M. de Sterke, B. Kuhlmey, R. McPhedran, D. Fussell, and S. Tomljenovic-Hanic, "Long wavelength behavior of the fundamental mode in microstructured optical fibers," Opt. Express 13 (2005).
[CrossRef]

Winn, J. N.

Wong, D.

Wood, W. A.

M.-J. Li, X. Chen, D. A. Nolan, G. E. Berkey, J. Wang,W. A. Wood, and L. A. Zenteno, "High bandwidth single polarization fiber with elliptical central air hole," J. Lightwave Technol. 23, 3454-3460 (2005).
[CrossRef]

M.-J. Li, D. A. Nolan, G. E. Berkey, X. Chen, J. Koh, D. T. Walton, J. Wang, W. A. Wood, and L. A. Zenteno, "High-performance single-polarization optical fibers," Proc. SPIE 5623, 612-621 (2005).

Yakato, H.

T. Okoshi, K. Oyamada, M. Nishimura, and H. Yakato, "Side tunnel fibre: An approach to polarizationmaintaining optical waveguiding schemes," Electron. Lett. 18, 824-826 (1982).
[CrossRef]

Yamaguchi, S.

H. Kubota, S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, "Absolutely single polarization photonic crystal fiber," IEEE Photon. Tech. Lett. 16, 182-184 (2004).
[CrossRef]

Yang, D.

Yang, K.

K. Yang and M. de Llano, "Simple variational proof that any two-dimensional potential well supports at least one bound state," Am. J. Phys. 57, 85-86 (1989).
[CrossRef]

Ye, P.

F. Zhang, M. Zhang, X. Liu, and P. Ye, "Design of wideband single-polarization single-mode photonic crystal fiber," J. Lightwave Technol. 25, 1184-1189 (2007).
[CrossRef]

X. Liu, F. Zhang, M. Zhang, and P. Ye, "A novel single-mode single-polarization photonic crystal fiber using resonant absorption effect," Proc. SPIE 6351, 63,511K (2006).

Zenteno, L. A.

M.-J. Li, D. A. Nolan, G. E. Berkey, X. Chen, J. Koh, D. T. Walton, J. Wang, W. A. Wood, and L. A. Zenteno, "High-performance single-polarization optical fibers," Proc. SPIE 5623, 612-621 (2005).

M.-J. Li, X. Chen, D. A. Nolan, G. E. Berkey, J. Wang,W. A. Wood, and L. A. Zenteno, "High bandwidth single polarization fiber with elliptical central air hole," J. Lightwave Technol. 23, 3454-3460 (2005).
[CrossRef]

Zhang, F.

F. Zhang, M. Zhang, X. Liu, and P. Ye, "Design of wideband single-polarization single-mode photonic crystal fiber," J. Lightwave Technol. 25, 1184-1189 (2007).
[CrossRef]

X. Liu, F. Zhang, M. Zhang, and P. Ye, "A novel single-mode single-polarization photonic crystal fiber using resonant absorption effect," Proc. SPIE 6351, 63,511K (2006).

Zhang, M.

F. Zhang, M. Zhang, X. Liu, and P. Ye, "Design of wideband single-polarization single-mode photonic crystal fiber," J. Lightwave Technol. 25, 1184-1189 (2007).
[CrossRef]

X. Liu, F. Zhang, M. Zhang, and P. Ye, "A novel single-mode single-polarization photonic crystal fiber using resonant absorption effect," Proc. SPIE 6351, 63,511K (2006).

Zografopoulos, D. C.

J. Lightwave Technol. (9)

J. R. Simpson, R. H. Stolen, F. M. Sears, W. Pleibel, J. B. Macchesney, and R. E. Howard, "A single-polarization fiber," J. Lightwave Technol. 1, 370-374 (1983).
[CrossRef]

K. Tajima, M. Ohashi, and Y. Sasaki, "A new single-polarization optical fiber," J. Lightwave Technol. 7, 1499-1503 (1989).
[CrossRef]

M. J. Messerly, J. R. Onstott, and R. C. Mikkelson, "A broad-band single polarization optical fiber," J. Lightwave Technol. 9, 817-820 (1991).
[CrossRef]

M.-J. Li, X. Chen, D. A. Nolan, G. E. Berkey, J. Wang,W. A. Wood, and L. A. Zenteno, "High bandwidth single polarization fiber with elliptical central air hole," J. Lightwave Technol. 23, 3454-3460 (2005).
[CrossRef]

J. Ju, W. Jin, and M. S. Demokan, "Design of single-polarization single-mode photonic crystal fiber at 1.30 and 1.55 ?m," J. Lightwave Technol. 24, 825-830 (2006).
[CrossRef]

F. Zhang, M. Zhang, X. Liu, and P. Ye, "Design of wideband single-polarization single-mode photonic crystal fiber," J. Lightwave Technol. 25, 1184-1189 (2007).
[CrossRef]

D. Chen and L. Shen, "Highly birefringent elliptical-hole photonic crystal fibers with double defect," J. Lightwave Technol. 25, 2700-2705 (2007).
[CrossRef]

K. S. Chiang, "Stress-induced birefringence fibers designed for single-polarization single-mode operation," J. Lightwave Technol. 7, 436-441 (1989).
[CrossRef]

M. J. Steel and R. M. Osgood, "Polarization and dispersive properties of elliptical-hole photonic crystal fibers," J. Lightwave Technol. 19, 495-503 (2001).
[CrossRef]

Acta Phys. Pol. A (1)

M. Szpulak, T. Martynkien, J. Olszewski, W. Urbanóczyk, T. Nasilowski, F. Berghmans, and H. Thienpont, "Single-polarization single-mode photonic band gap fiber," Acta Phys. Pol. A 111, 239-245 (2007).

Am. J. Phys. (1)

K. Yang and M. de Llano, "Simple variational proof that any two-dimensional potential well supports at least one bound state," Am. J. Phys. 57, 85-86 (1989).
[CrossRef]

Appl. Phys. B (1)

S. G. Johnson, M. L. Povinelli, M. Solja??i??, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl. Phys. B 81, 283-293 (2005).
[CrossRef]

Appl. Phys. Lett. (1)

A. Ferrando and J. J. Miret, "Single-polarization single-mode intraband guidance in supersquare photonic crystal fibers," Appl. Phys. Lett. 78, 3184-3186 (2001).
[CrossRef]

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