Abstract

The modal characteristics of photonic crystal fibers (PCFs), with guiding cores consisting of one or seven missing airholes, are investigated with the finite element method and compared to those of step-index fibers (SIFs). To extend the applicability of the classical SIF theories to PCFs, the effective refractive index of photonic crystal cladding and the effective core radius of a PCF are studied systematically, based on simple physically consistent concepts. With the new effective cladding index and core radius of PCFs, the classical definition of the V parameter for SIFs is extended to PCFs, and a highly efficient approach based on the effective-index method is developed for the design of PCFs. The new design approach has been successfully employed to analyze the modal properties of PCF lasers with depressed-index cores and further tested by using it to effectively estimate the number of guided modes for PCFs with large cores.

© 2007 IEEE

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2005 (4)

2004 (1)

2003 (3)

N. A. Mortensen, J. R. Folkenberg, M. D. Nielsen, K. P. Hansen, "Modal cutoff and the V parameter in photonic crystal fibers," Opt. Lett. 28, 1879-1881 (2003).

M. D. Nielsen, N. A. Mortensen, "Photonic crystal fiber design based on the V parameter ," Opt. Express 11, 2762-2768 (2003).

S. Jiang, S. Mendes, Y. Hu, G. Nunzi-Conti, A. Chavez-Pirson, Y. Kaneda, T. Luo, S. Hocde, D. T. Nguyen, E. Wright, J. Wang, W. Tian, T. Nikolajsen, N. Peyghambarian, "Compact multimode pumped erbium-doped phosphate fiber amplifiers," Opt. Eng. 42, 2817-2820 (2003).

2002 (1)

2001 (1)

2000 (4)

M. Midrio, M. P. Singh, C. G. Someda, "The space filling mode of holey fibers: An analytical vectorial solution," J. Lightw. Technol. 18, 1031-1037 (2000).

A. Ferrando, E. Silvestre, J. J. Miret, P. Andrs, "Nearly zero ultraflattened dispersion in photonic crystal fibers," Opt. Lett. 25, 790-792 (2000).

J. C. Knight, J. Arriaga, T. A. Birks, A. Ortigosa-Blanch, W. J. Wadsworth, P. S. J. Russell, "Anomalous dispersion in photonic crystal fiber," IEEE Photon. Technol. Lett. 12, 807-809 (2000).

F. Brechet, J. Marcou, D. Pagnoux, P. Roy, "Complete analysis of the characteristics of propagation into photonic crystal fibers, by the finite element method," Opt. Fiber Technol. 6, 181-191 (2000).

1998 (2)

J. C. Knight, T. A. Birks, R. F. Cregan, P. S. J. Russell, J.-P. De Sandro, "Large mode area photonic crystal fibre," Electron. Lett. 34, 1347-1348 (1998).

D. Mogilevtsev, T. A. Birks, P. S. J. Russell, "Group-velocity dispersion in photonic crystal fibers," Opt. Lett. 23, 1662-1664 (1998).

1997 (2)

1996 (1)

Electron. Lett. (1)

J. C. Knight, T. A. Birks, R. F. Cregan, P. S. J. Russell, J.-P. De Sandro, "Large mode area photonic crystal fibre," Electron. Lett. 34, 1347-1348 (1998).

IEEE Photon. Technol. Lett. (1)

J. C. Knight, J. Arriaga, T. A. Birks, A. Ortigosa-Blanch, W. J. Wadsworth, P. S. J. Russell, "Anomalous dispersion in photonic crystal fiber," IEEE Photon. Technol. Lett. 12, 807-809 (2000).

J. Lightw. Technol. (1)

M. Midrio, M. P. Singh, C. G. Someda, "The space filling mode of holey fibers: An analytical vectorial solution," J. Lightw. Technol. 18, 1031-1037 (2000).

Opt. Eng. (1)

S. Jiang, S. Mendes, Y. Hu, G. Nunzi-Conti, A. Chavez-Pirson, Y. Kaneda, T. Luo, S. Hocde, D. T. Nguyen, E. Wright, J. Wang, W. Tian, T. Nikolajsen, N. Peyghambarian, "Compact multimode pumped erbium-doped phosphate fiber amplifiers," Opt. Eng. 42, 2817-2820 (2003).

Opt. Express (3)

Opt. Fiber Technol. (1)

F. Brechet, J. Marcou, D. Pagnoux, P. Roy, "Complete analysis of the characteristics of propagation into photonic crystal fibers, by the finite element method," Opt. Fiber Technol. 6, 181-191 (2000).

Opt. Lett. (11)

D. Mogilevtsev, T. A. Birks, P. S. J. Russell, "Group-velocity dispersion in photonic crystal fibers," Opt. Lett. 23, 1662-1664 (1998).

A. Ferrando, E. Silvestre, J. J. Miret, P. Andrs, "Nearly zero ultraflattened dispersion in photonic crystal fibers," Opt. Lett. 25, 790-792 (2000).

K. N. Park, K. S. Lee, "Improved effective-index method for analysis of photonic crystal fibers," Opt. Lett. 30, 958-960 (2005).

L. Li, A. Schülzgen, V. L. Temyanko, T. Qiu, M. M. Morrell, Q. Wang, A. Mafi, J. V. Moloney, N. Peyghambarian, "Short-length microstructured phosphate glass fiber lasers with large mode areas," Opt. Lett. 30, 1141-1143 (2005).

L. Li, A. Schülzgen, V. L. Temyanko, H. Li, S. Sabet, M. M. Morrell, A. Mafi, J. V. Moloney, N. Peyghambarian, "Investigation of modal properties of microstructured optical fibers with large depressed-index cores," Opt. Lett. 30, 3275-3277 (2005).

J. C. Knight, T. A. Birks, P. S. J. Russell, D. M. Atkin, "All-silica single-mode optical fiber with photonic crystal cladding," Opt. Lett. 21, 1547-1549 (1996).

J. C. Knight, T. A. Birks, P. S. J. Russell, D. M. Atkin, "All-silica single-mode optical fiber with photonic crystal cladding: Errata," Opt. Lett. 22, 484-485 (1997).

T. A. Birks, J. C. Knight, P. S. J. Russell, "Endlessly single-mode photonic crystal fiber," Opt. Lett. 22, 961-963 (1997).

B. T. Kuhlmey, R. C. McPhedran, C. M. de Sterke, "Modal cutoff in microstructured optical fibers," Opt. Lett. 27, 1684-1686 (2002).

N. A. Mortensen, J. R. Folkenberg, M. D. Nielsen, K. P. Hansen, "Modal cutoff and the V parameter in photonic crystal fibers," Opt. Lett. 28, 1879-1881 (2003).

M. Koshiba, K. Saitoh, "Applicability of classical optical fiber theories to holey fibers," Opt. Lett. 29, 1739-1741 (2004).

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