Abstract

We propose a new strip/slot hybrid waveguide with double slots, which exhibits a flat and low dispersion over a 1098-nm bandwidth with four zero-dispersion wavelengths. Dispersion of dual-slot silicon waveguide is mainly determined by mode transition from a strip mode to a slot mode rather than by material dispersion. Dispersion tailoring is investigated by tuning different structural parameters of waveguides. Moreover, nonlinear coefficient of dual-slot silicon waveguide and phase-matching condition in FWM are both explored in detail. The dual-slot waveguide can be used to generate supercontinuum with bandwidth extending up to 1630 nm pumped by femtosecond pulses. This waveguide will have a great potential for ultrabroadband signal processing applications from near-infrared region to mid-infrared region.

© 2012 OSA

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2012 (3)

2011 (8)

B. Kuyken, X. Liu, R. M. Osgood, R. Baets, G. Roelkens, and W. M. J. Green, “Mid-infrared to telecom-band supercontinuum generation in highly nonlinear silicon-on-insulator wire waveguides,” Opt. Express19(21), 20172–20181 (2011).
[CrossRef] [PubMed]

Q. Liu, S. Gao, Z. Li, Y. Xie, and S. He, “Dispersion engineering of a silicon-nanocrystal-based slot waveguide for broadband wavelength conversion,” Appl. Opt.50(9), 1260–1265 (2011).
[CrossRef] [PubMed]

R. Ding, T. Baehr-Jones, W.-J. Kim, B. Boyko, R. Bojko, A. Spott, A. Pomerene, C. Hill, W. Reinhardt, and M. Hochberg, “Low-loss asymmetric strip-loaded slot waveguides in silicon-on-insulator,” Appl. Phys. Lett.98(23), 233303 (2011).
[CrossRef]

N. K. Hon, R. Soref, and B. Jalali, “The third-order nonlinear optical coefficients of Si, Ge, and Si1-xGex in the midwave and longwave infrared,” J. Appl. Phys.110(1), 011301 (2011).
[CrossRef]

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Influence of the initial chirp on the supercontinuum generation in silicon-on-insulator waveguide,” Appl. Phys. B104(4), 867–871 (2011).
[CrossRef]

Z. Wang, H. Liu, N. Huang, Q. Sun, and J. Wen, “Influence of spectral broadening on femtosecond wavelength conversion based on four-wave mixing in silicon waveguides,” Appl. Opt.50(28), 5430–5436 (2011).
[CrossRef] [PubMed]

Z. Wang, H. Liu, N. Huang, Q. Sun, and J. Wen, “Impact of dispersion profiles of silicon waveguides on optical parametric amplification in the femtosecond regime,” Opt. Express19(24), 24730–24737 (2011).
[CrossRef] [PubMed]

X. Liu, J. B. Driscoll, J. I. Dadap, R. M. Osgood, S. Assefa, Y. A. Vlasov, and W. M. J. Green, “Self-phase modulation and nonlinear loss in silicon nanophotonic wires near the mid-infrared two-photon absorption edge,” Opt. Express19(8), 7778–7789 (2011).
[CrossRef] [PubMed]

2010 (4)

2009 (5)

X. Zhang, S. Gao, and S. He, “Optimal design of a silicon-on-insulator nanowire waveguide for broadband wavelength conversion,” Prog. Electromagn. Res.89, 183–198 (2009).
[CrossRef]

R. Spano, N. Daldosso, M. Cazzanelli, L. Ferraioli, L. Tartara, J. Yu, V. Degiorgio, E. Giordana, J. M. Fedeli, and L. Pavesi, “Bound electronic and free carrier nonlinearities in Silicon nanocrystals at 1550nm,” Opt. Express17(5), 3941–3950 (2009).
[CrossRef] [PubMed]

L. Yin, J. Zhang, P. M. Fauchet, and G. P. Agrawal, “Optical switching using nonlinear polarization rotation inside silicon waveguides,” Opt. Lett.34(4), 476–478 (2009).
[CrossRef] [PubMed]

M. Khorasaninejad and S. S. Saini, “All-optical logic gates using nonlinear effects in silicon-on-insulator waveguides,” Appl. Opt.48(25), F31–F37 (2009).
[CrossRef] [PubMed]

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, A. Sato, H. Yokoyama, K. Yamada, T. Watanabe, T. Tsuchizawa, H. Fukuda, S. Itabashi, and K. Edamatsu, “All-optical phase modulations in a silicon wire waveguide at ultralow light levels,” Appl. Phys. Lett.95(17), 171110 (2009).
[CrossRef]

2008 (4)

2007 (4)

L. Yin, Q. Lin, and G. P. Agrawal, “Soliton fission and supercontinuum generation in silicon waveguides,” Opt. Lett.32(4), 391–393 (2007).
[CrossRef] [PubMed]

A. D. Bristow, N. Rotenberg, and H. M. van Driel, “Two-photon absorption and Kerr coefficients of silicon for 850–2200 nm,” Appl. Phys. Lett.90(19), 191104 (2007).
[CrossRef]

J. Zhang, Q. Lin, G. Piredda, R. W. Boyd, G. P. Agrawal, and P. M. Fauchet, “Anisotropic nonlinear response of silicon in the near-infrared region,” Appl. Phys. Lett.91(7), 071113 (2007).
[CrossRef]

L. Yin and G. P. Agrawal, “Impact of two-photon absorption on self-phase modulation in silicon waveguides,” Opt. Lett.32(14), 2031–2033 (2007).
[CrossRef] [PubMed]

2006 (4)

2004 (2)

2003 (1)

1985 (1)

R. A. Soref and J. P. Lorenzo, “Single-crystal silicon: a new material for 1.3 and 1.6 um integrated-optical components,” Electron. Lett.21(21), 953–954 (1985).
[CrossRef]

Agrawal, G. P.

Alic, N.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics4(8), 561–564 (2010).
[CrossRef]

Almeida, V. R.

Assefa, S.

Baehr-Jones, T.

R. Ding, T. Baehr-Jones, W.-J. Kim, B. Boyko, R. Bojko, A. Spott, A. Pomerene, C. Hill, W. Reinhardt, and M. Hochberg, “Low-loss asymmetric strip-loaded slot waveguides in silicon-on-insulator,” Appl. Phys. Lett.98(23), 233303 (2011).
[CrossRef]

Baets, R.

Bandaru, P. R.

Barrios, C. A.

Beausoleil, R. G.

Boggio, J. M. C.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics4(8), 561–564 (2010).
[CrossRef]

Bojko, R.

R. Ding, T. Baehr-Jones, W.-J. Kim, B. Boyko, R. Bojko, A. Spott, A. Pomerene, C. Hill, W. Reinhardt, and M. Hochberg, “Low-loss asymmetric strip-loaded slot waveguides in silicon-on-insulator,” Appl. Phys. Lett.98(23), 233303 (2011).
[CrossRef]

Boyd, R. W.

J. Zhang, Q. Lin, G. Piredda, R. W. Boyd, G. P. Agrawal, and P. M. Fauchet, “Anisotropic nonlinear response of silicon in the near-infrared region,” Appl. Phys. Lett.91(7), 071113 (2007).
[CrossRef]

Boyko, B.

R. Ding, T. Baehr-Jones, W.-J. Kim, B. Boyko, R. Bojko, A. Spott, A. Pomerene, C. Hill, W. Reinhardt, and M. Hochberg, “Low-loss asymmetric strip-loaded slot waveguides in silicon-on-insulator,” Appl. Phys. Lett.98(23), 233303 (2011).
[CrossRef]

Boyraz, O.

Bristow, A. D.

A. D. Bristow, N. Rotenberg, and H. M. van Driel, “Two-photon absorption and Kerr coefficients of silicon for 850–2200 nm,” Appl. Phys. Lett.90(19), 191104 (2007).
[CrossRef]

Cazzanelli, M.

Chen, X.

Chou, C. Y.

Claps, R.

Cohen, O.

Cooper, M. L.

Dadap, J. I.

Daldosso, N.

Degiorgio, V.

Dimitropoulos, D.

Ding, R.

R. Ding, T. Baehr-Jones, W.-J. Kim, B. Boyko, R. Bojko, A. Spott, A. Pomerene, C. Hill, W. Reinhardt, and M. Hochberg, “Low-loss asymmetric strip-loaded slot waveguides in silicon-on-insulator,” Appl. Phys. Lett.98(23), 233303 (2011).
[CrossRef]

Divliansky, I. B.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics4(8), 561–564 (2010).
[CrossRef]

Driscoll, J. B.

Dulkeith, E.

Edamatsu, K.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, A. Sato, H. Yokoyama, K. Yamada, T. Watanabe, T. Tsuchizawa, H. Fukuda, S. Itabashi, and K. Edamatsu, “All-optical phase modulations in a silicon wire waveguide at ultralow light levels,” Appl. Phys. Lett.95(17), 171110 (2009).
[CrossRef]

Espinola, R. L.

Fauchet, P. M.

Fedeli, J. M.

Ferraioli, L.

Foster, M. A.

Fu, Y.

Fukuda, H.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, A. Sato, H. Yokoyama, K. Yamada, T. Watanabe, T. Tsuchizawa, H. Fukuda, S. Itabashi, and K. Edamatsu, “All-optical phase modulations in a silicon wire waveguide at ultralow light levels,” Appl. Phys. Lett.95(17), 171110 (2009).
[CrossRef]

Gaeta, A. L.

Gao, S.

Giordana, E.

Green, W. M. J.

He, S.

Q. Liu, S. Gao, Z. Li, Y. Xie, and S. He, “Dispersion engineering of a silicon-nanocrystal-based slot waveguide for broadband wavelength conversion,” Appl. Opt.50(9), 1260–1265 (2011).
[CrossRef] [PubMed]

X. Zhang, S. Gao, and S. He, “Optimal design of a silicon-on-insulator nanowire waveguide for broadband wavelength conversion,” Prog. Electromagn. Res.89, 183–198 (2009).
[CrossRef]

Hill, C.

R. Ding, T. Baehr-Jones, W.-J. Kim, B. Boyko, R. Bojko, A. Spott, A. Pomerene, C. Hill, W. Reinhardt, and M. Hochberg, “Low-loss asymmetric strip-loaded slot waveguides in silicon-on-insulator,” Appl. Phys. Lett.98(23), 233303 (2011).
[CrossRef]

Hochberg, M.

R. Ding, T. Baehr-Jones, W.-J. Kim, B. Boyko, R. Bojko, A. Spott, A. Pomerene, C. Hill, W. Reinhardt, and M. Hochberg, “Low-loss asymmetric strip-loaded slot waveguides in silicon-on-insulator,” Appl. Phys. Lett.98(23), 233303 (2011).
[CrossRef]

Hon, N. K.

N. K. Hon, R. Soref, and B. Jalali, “The third-order nonlinear optical coefficients of Si, Ge, and Si1-xGex in the midwave and longwave infrared,” J. Appl. Phys.110(1), 011301 (2011).
[CrossRef]

Hsieh, I.-W.

Huang, N.

Huang, Y.

Itabashi, S.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, A. Sato, H. Yokoyama, K. Yamada, T. Watanabe, T. Tsuchizawa, H. Fukuda, S. Itabashi, and K. Edamatsu, “All-optical phase modulations in a silicon wire waveguide at ultralow light levels,” Appl. Phys. Lett.95(17), 171110 (2009).
[CrossRef]

Jalali, B.

N. K. Hon, R. Soref, and B. Jalali, “The third-order nonlinear optical coefficients of Si, Ge, and Si1-xGex in the midwave and longwave infrared,” J. Appl. Phys.110(1), 011301 (2011).
[CrossRef]

R. Claps, V. Raghunathan, D. Dimitropoulos, and B. Jalali, “Anti-Stokes Raman conversion in silicon waveguides,” Opt. Express11(22), 2862–2872 (2003).
[CrossRef] [PubMed]

Jones, R.

Kalyoncu, S. K.

Khorasaninejad, M.

Kim, W.-J.

R. Ding, T. Baehr-Jones, W.-J. Kim, B. Boyko, R. Bojko, A. Spott, A. Pomerene, C. Hill, W. Reinhardt, and M. Hochberg, “Low-loss asymmetric strip-loaded slot waveguides in silicon-on-insulator,” Appl. Phys. Lett.98(23), 233303 (2011).
[CrossRef]

Kosaka, H.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, A. Sato, H. Yokoyama, K. Yamada, T. Watanabe, T. Tsuchizawa, H. Fukuda, S. Itabashi, and K. Edamatsu, “All-optical phase modulations in a silicon wire waveguide at ultralow light levels,” Appl. Phys. Lett.95(17), 171110 (2009).
[CrossRef]

Kuo, Y. H.

Kuyken, B.

Li, Z.

Lin, Q.

Lipson, M.

Liu, A.

Liu, H.

Liu, Q.

Liu, X.

Lorenzo, J. P.

R. A. Soref and J. P. Lorenzo, “Single-crystal silicon: a new material for 1.3 and 1.6 um integrated-optical components,” Electron. Lett.21(21), 953–954 (1985).
[CrossRef]

Manolatou, C.

Matsuda, N.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, A. Sato, H. Yokoyama, K. Yamada, T. Watanabe, T. Tsuchizawa, H. Fukuda, S. Itabashi, and K. Edamatsu, “All-optical phase modulations in a silicon wire waveguide at ultralow light levels,” Appl. Phys. Lett.95(17), 171110 (2009).
[CrossRef]

McNab, S. J.

Mitsumori, Y.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, A. Sato, H. Yokoyama, K. Yamada, T. Watanabe, T. Tsuchizawa, H. Fukuda, S. Itabashi, and K. Edamatsu, “All-optical phase modulations in a silicon wire waveguide at ultralow light levels,” Appl. Phys. Lett.95(17), 171110 (2009).
[CrossRef]

Mookherjea, S.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics4(8), 561–564 (2010).
[CrossRef]

S. H. Yang, M. L. Cooper, P. R. Bandaru, and S. Mookherjea, “Giant birefringence in multi-slotted silicon nanophotonic waveguides,” Opt. Express16(11), 8306–8316 (2008).
[CrossRef] [PubMed]

Moro, S.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics4(8), 561–564 (2010).
[CrossRef]

Osgood, R. M.

Paniccia, M.

Panoiu, N. C.

Park, J. S.

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics4(8), 561–564 (2010).
[CrossRef]

Pavesi, L.

Piredda, G.

J. Zhang, Q. Lin, G. Piredda, R. W. Boyd, G. P. Agrawal, and P. M. Fauchet, “Anisotropic nonlinear response of silicon in the near-infrared region,” Appl. Phys. Lett.91(7), 071113 (2007).
[CrossRef]

Pomerene, A.

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Appl. Opt. (3)

Appl. Phys. B (1)

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Influence of the initial chirp on the supercontinuum generation in silicon-on-insulator waveguide,” Appl. Phys. B104(4), 867–871 (2011).
[CrossRef]

Appl. Phys. Lett. (4)

R. Ding, T. Baehr-Jones, W.-J. Kim, B. Boyko, R. Bojko, A. Spott, A. Pomerene, C. Hill, W. Reinhardt, and M. Hochberg, “Low-loss asymmetric strip-loaded slot waveguides in silicon-on-insulator,” Appl. Phys. Lett.98(23), 233303 (2011).
[CrossRef]

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[CrossRef]

J. Zhang, Q. Lin, G. Piredda, R. W. Boyd, G. P. Agrawal, and P. M. Fauchet, “Anisotropic nonlinear response of silicon in the near-infrared region,” Appl. Phys. Lett.91(7), 071113 (2007).
[CrossRef]

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, A. Sato, H. Yokoyama, K. Yamada, T. Watanabe, T. Tsuchizawa, H. Fukuda, S. Itabashi, and K. Edamatsu, “All-optical phase modulations in a silicon wire waveguide at ultralow light levels,” Appl. Phys. Lett.95(17), 171110 (2009).
[CrossRef]

Electron. Lett. (1)

R. A. Soref and J. P. Lorenzo, “Single-crystal silicon: a new material for 1.3 and 1.6 um integrated-optical components,” Electron. Lett.21(21), 953–954 (1985).
[CrossRef]

J. Appl. Phys. (1)

N. K. Hon, R. Soref, and B. Jalali, “The third-order nonlinear optical coefficients of Si, Ge, and Si1-xGex in the midwave and longwave infrared,” J. Appl. Phys.110(1), 011301 (2011).
[CrossRef]

Nat. Photonics (1)

S. Zlatanovic, J. S. Park, S. Moro, J. M. C. Boggio, I. B. Divliansky, N. Alic, S. Mookherjea, and S. Radic, “Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source,” Nat. Photonics4(8), 561–564 (2010).
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X. Liu, J. B. Driscoll, J. I. Dadap, R. M. Osgood, S. Assefa, Y. A. Vlasov, and W. M. J. Green, “Self-phase modulation and nonlinear loss in silicon nanophotonic wires near the mid-infrared two-photon absorption edge,” Opt. Express19(8), 7778–7789 (2011).
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Figures (8)

Fig. 1
Fig. 1

Structures of (a) single-slot waveguide and (b) dual-slot silicon waveguide.

Fig. 2
Fig. 2

(a) TE modes evolution of single-slot waveguide for various slot offset: 0 nm (symmetric slot waveguide), 139.5 nm, 189.5 nm, from top to bottom; (b) TE modes evolution of dual-slot waveguide for various wavelengths; (c) dispersion profiles of three different waveguides; Inset: zoom-in profile of TE mode of the dual-slot waveguide.

Fig. 3
Fig. 3

Dispersion of the nonlinearity coefficient and effective area.

Fig. 4
Fig. 4

Dispersion profiles of dual-slot waveguides with different (a) widths of left and right silicon parts and (b) widths of central silicon part.

Fig. 5
Fig. 5

Dispersion profiles of dual-slot waveguides with different (a) heights and (b) widths of left and right slots.

Fig. 6
Fig. 6

Dispersion curves are nearly coincident with different methods by changing (a) widths of left and right slots and (b) widths of left and right silicon parts.

Fig. 7
Fig. 7

Phase mismatch with different pump wavelengths and pump power.

Fig. 8
Fig. 8

Output spectral profiles for the pump power of 120W in (a) and 60W in (b); Inset: temporal shape of output and input pulses.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

γ e = 2π λ n 2 (x,y) | F(x,y) | 4 dxdy ( | F(x,y) | 2 dxdy ) 2
A eff = ( | F(x,y) | 2 dxdy ) 2 | F(x,y) | 4 dxdy
Δβ=2 γ e P pump +Δ β linear
A z = m=2 i m+1 β m m! m A t m 1 2 α l A+iγ(1+ i ω 0 t )A(z,t)× t R(tτ) | A(z,τ) | 2 dτ

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