Broadband Dispersion Compensation Using Inner Cladding Modes In Photonic Crystal Fibers

A photonic crystal fiber is optimized for chromatic dispersion compensation by using inner cladding modes. To this end, a photonicoriented version of the downhill-simplex algorithm is employed. The numerical results show a dispersion profile that accurately compensates the targeted dispersion curve, as well as its dispersion slope. The presented fiber has a simple structure, while radiation losses can be reduced simply by adding a few more air-hole rings. Fabrication tolerances are also considered showing how fabrication inaccuracies effects can be overridden by just adjusting the compensation length. © 2012 Optical Society of America.20434673472Knight, J.C., Birks, T.A., Russell, P.S.J., Atkin, D.M., All-silica single-mode optical fiber with photonic crystal cladding (1996) Opt. Lett., 21 (19), pp. 1547-1549Ferrando, A., Silvestre, E., Miret, J.J., Andrés, P., Andrés, M.V., Donor and acceptor guided modes in photonic crystal fibers (2000) Opt. Lett., 25 (18), pp. 1328-1330Ortigosa-Blanch, A., Knight, J.C., Wadsworth, W.J., Arriaga, J., Mangan, B.J., Birks, T.A., Russell, P.S.J., Highly birefringent photonic crystal fibers (2000) Opt. Lett., 25 (18), pp. 1325-1327Dudley, J.M., Genty, G., Coen, S., Supercontinuum generation in photonic crystal fiber (2006) Rev. Mod. Phys., 78 (4), pp. 1135-1184Silvestre, E., Pinheiro-Ortega, T., Andrés, P., Miret, J.J., Coves, A., Differential toolbox to shape dispersion behavior in photonic crystal fibers (2006) Opt. Lett., 31 (9), pp. 1190-1192Ferrando, A., Silvestre, E., Miret, J.J., Andrés, P., Nearly zero ultraflattened dispersion in photonic crystal fibers (2000) Opt. Lett., 25 (11), pp. 790-792Ferrando, A., Silvestre, E., Andrés, P., Miret, J., Andrés, M., Designing the properties of dispersion-flattened photonic crystal fibers (2001) Opt. Express, 9 (13), pp. 687-697Reeves, W., Knight, J., Russell, P., Roberts, P., Demonstration of ultra-flattened dispersion in photonic crystal fibers (2002) Opt. Express, 10 (14), pp. 609-613Eggleton, B., Westbrook, P., White, C., Kerbage, C., Windeler, R., Burdge, G., Cladding-mode-resonances in air-silica microstructure optical fibers (2000) J. Lightwave Technol., 18 (8), pp. 1084-1100Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., (1992) Numerical Recipes in C: The Art of Scientific Computing, pp. 408-412. , 2nd ed. (Cambridge University Press), chap. 10Poletti, F., Finazzi, V., Monro, T.M., Broderick, N.G.R., Tse, V., Richardson, D.J., Inverse design and fabrication tolerances of ultra-flattened dispersion holey fibers (2005) Opt. Express, 13 (10), pp. 3728-3736Lagarias, J.C., Reeds, J.A., Wright, M.H., Wright, P.E., Convergence properties of the nelder-mead simplex method in low dimensions (1998) SIAM J. Optimiz., 9 (1), pp. 112-147Cui, S., Liu, D., Yu, S., Huang, B., Ke, C., Zhang, M., Liu, C., Downhill simplex algorithm based approach to holey fiber design for tunable fiber parametric wavelength converters (2010) Opt. Express, 18 (10), pp. 9831-9839(2009) Product Information, , Corning© LEAF© optical fiber. (Corning Inc., N.Y.)Thyagarajan, K., Varshney, R., Palai, P., Ghatak, A., Goyal, I., A novel design of a dispersion compensating fiber (1996) IEEE Photon. Technol. Lett., 8 (11), pp. 1510-1512Fujisawa, T., Saitoh, K., Wada, K., Koshiba, M., Chromatic dispersion profile optimization of dual-concentriccore photonic crystal fibers for broadband dispersion compensation (2006) Opt. Express, 14 (2), pp. 893-900Gedney, S.D., An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices (1996) IEEE Trans. Antenn. Propag., 44 (12), pp. 1630-1639Oskooi, A., Johnson, S.G., Distinguishing correct from incorrect PML proposals and a corrected unsplit PML for anisotropic, dispersive media (2011) J. Comput. Phys., 230 (7), pp. 2369-237