Abstract

The dispersive properties of silicon-on-insulator (SOI) waveguides are studied by using the effective-index method. Extensive calculations indicate that an SOI waveguide can be designed to have its zero-dispersion wavelength near 1.5μm with reasonable device dimensions. Numerical simulations show that soliton-like pulse propagation is achievable in such a waveguide in the spectral region at approximately 1.55μm. The concept of path-averaged solitons is used to minimize the impact of linear loss and two-photon absorption.

© 2006 Optical Society of America

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  1. R. Claps, D. Dimitropoulos, V. Raghumathan, Y. Han, and B. Jalali, Opt. Express 11, 1731 (2003).
    [CrossRef] [PubMed]
  2. H. Rong, A. Liu, R. Nicolaescu, M. Paniccia, O. Cohen, and D. Hak, Appl. Phys. Lett. 85, 2196 (2004).
    [CrossRef]
  3. R. Jones, H. Rong, A. Liu, A. W. Fang, M. J. Paniccia, D. Hak, and O. Cohen, Opt. Express 13, 519 (2005).
    [CrossRef] [PubMed]
  4. R. Jones, A. Liu, H. Rong, M. Paniccia, O. Cohen, and D. Hak, Opt. Express 13, 1716 (2005).
    [CrossRef] [PubMed]
  5. H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 292 (2005).
    [CrossRef] [PubMed]
  6. H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
    [CrossRef] [PubMed]
  7. H. Tsang, C. Wong, T. Liang, I. Day, S. Roberts, A. Harpin, J. Drake, and M. Asghari, Appl. Phys. Lett. 80, 416 (2002).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]

2005 (4)

R. Jones, H. Rong, A. Liu, A. W. Fang, M. J. Paniccia, D. Hak, and O. Cohen, Opt. Express 13, 519 (2005).
[CrossRef] [PubMed]

R. Jones, A. Liu, H. Rong, M. Paniccia, O. Cohen, and D. Hak, Opt. Express 13, 1716 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 292 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef] [PubMed]

2004 (3)

H. Rong, A. Liu, R. Nicolaescu, M. Paniccia, O. Cohen, and D. Hak, Appl. Phys. Lett. 85, 2196 (2004).
[CrossRef]

D. Dimitropoulos, V. Raghunathan, R. Claps, and B. Jalali, Opt. Express 12, 149 (2004).
[CrossRef] [PubMed]

G. P. Agrawal, Lightwave Technology: Components and Devices (Wiley, 2004).

2003 (2)

2002 (1)

H. Tsang, C. Wong, T. Liang, I. Day, S. Roberts, A. Harpin, J. Drake, and M. Asghari, Appl. Phys. Lett. 80, 416 (2002).
[CrossRef]

2001 (1)

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

Agrawal, G. P.

G. P. Agrawal, Lightwave Technology: Components and Devices (Wiley, 2004).

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

Asghari, M.

H. Tsang, C. Wong, T. Liang, I. Day, S. Roberts, A. Harpin, J. Drake, and M. Asghari, Appl. Phys. Lett. 80, 416 (2002).
[CrossRef]

Claps, R.

Cohen, O.

R. Jones, H. Rong, A. Liu, A. W. Fang, M. J. Paniccia, D. Hak, and O. Cohen, Opt. Express 13, 519 (2005).
[CrossRef] [PubMed]

R. Jones, A. Liu, H. Rong, M. Paniccia, O. Cohen, and D. Hak, Opt. Express 13, 1716 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 292 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Nicolaescu, M. Paniccia, O. Cohen, and D. Hak, Appl. Phys. Lett. 85, 2196 (2004).
[CrossRef]

Day, I.

H. Tsang, C. Wong, T. Liang, I. Day, S. Roberts, A. Harpin, J. Drake, and M. Asghari, Appl. Phys. Lett. 80, 416 (2002).
[CrossRef]

Dimitropoulos, D.

Dinu, M.

M. Dinu, F. Quochi, and H. Garcia, Appl. Phys. Lett. 82, 2594 (2003).
[CrossRef]

Drake, J.

H. Tsang, C. Wong, T. Liang, I. Day, S. Roberts, A. Harpin, J. Drake, and M. Asghari, Appl. Phys. Lett. 80, 416 (2002).
[CrossRef]

Fang, A.

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 292 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef] [PubMed]

Fang, A. W.

Garcia, H.

M. Dinu, F. Quochi, and H. Garcia, Appl. Phys. Lett. 82, 2594 (2003).
[CrossRef]

Hak, D.

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 292 (2005).
[CrossRef] [PubMed]

R. Jones, A. Liu, H. Rong, M. Paniccia, O. Cohen, and D. Hak, Opt. Express 13, 1716 (2005).
[CrossRef] [PubMed]

R. Jones, H. Rong, A. Liu, A. W. Fang, M. J. Paniccia, D. Hak, and O. Cohen, Opt. Express 13, 519 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Nicolaescu, M. Paniccia, O. Cohen, and D. Hak, Appl. Phys. Lett. 85, 2196 (2004).
[CrossRef]

Han, Y.

Harpin, A.

H. Tsang, C. Wong, T. Liang, I. Day, S. Roberts, A. Harpin, J. Drake, and M. Asghari, Appl. Phys. Lett. 80, 416 (2002).
[CrossRef]

Jalali, B.

Jones, R.

R. Jones, H. Rong, A. Liu, A. W. Fang, M. J. Paniccia, D. Hak, and O. Cohen, Opt. Express 13, 519 (2005).
[CrossRef] [PubMed]

R. Jones, A. Liu, H. Rong, M. Paniccia, O. Cohen, and D. Hak, Opt. Express 13, 1716 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 292 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef] [PubMed]

Liang, T.

H. Tsang, C. Wong, T. Liang, I. Day, S. Roberts, A. Harpin, J. Drake, and M. Asghari, Appl. Phys. Lett. 80, 416 (2002).
[CrossRef]

Liu, A.

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef] [PubMed]

R. Jones, H. Rong, A. Liu, A. W. Fang, M. J. Paniccia, D. Hak, and O. Cohen, Opt. Express 13, 519 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 292 (2005).
[CrossRef] [PubMed]

R. Jones, A. Liu, H. Rong, M. Paniccia, O. Cohen, and D. Hak, Opt. Express 13, 1716 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Nicolaescu, M. Paniccia, O. Cohen, and D. Hak, Appl. Phys. Lett. 85, 2196 (2004).
[CrossRef]

Nicolaescu, R.

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 292 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Nicolaescu, M. Paniccia, O. Cohen, and D. Hak, Appl. Phys. Lett. 85, 2196 (2004).
[CrossRef]

Paniccia, M.

R. Jones, A. Liu, H. Rong, M. Paniccia, O. Cohen, and D. Hak, Opt. Express 13, 1716 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 292 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Nicolaescu, M. Paniccia, O. Cohen, and D. Hak, Appl. Phys. Lett. 85, 2196 (2004).
[CrossRef]

Paniccia, M. J.

Quochi, F.

M. Dinu, F. Quochi, and H. Garcia, Appl. Phys. Lett. 82, 2594 (2003).
[CrossRef]

Raghumathan, V.

Raghunathan, V.

Roberts, S.

H. Tsang, C. Wong, T. Liang, I. Day, S. Roberts, A. Harpin, J. Drake, and M. Asghari, Appl. Phys. Lett. 80, 416 (2002).
[CrossRef]

Rong, H.

R. Jones, H. Rong, A. Liu, A. W. Fang, M. J. Paniccia, D. Hak, and O. Cohen, Opt. Express 13, 519 (2005).
[CrossRef] [PubMed]

R. Jones, A. Liu, H. Rong, M. Paniccia, O. Cohen, and D. Hak, Opt. Express 13, 1716 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 292 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Nicolaescu, M. Paniccia, O. Cohen, and D. Hak, Appl. Phys. Lett. 85, 2196 (2004).
[CrossRef]

Tsang, H.

H. Tsang, C. Wong, T. Liang, I. Day, S. Roberts, A. Harpin, J. Drake, and M. Asghari, Appl. Phys. Lett. 80, 416 (2002).
[CrossRef]

Wong, C.

H. Tsang, C. Wong, T. Liang, I. Day, S. Roberts, A. Harpin, J. Drake, and M. Asghari, Appl. Phys. Lett. 80, 416 (2002).
[CrossRef]

Appl. Phys. Lett. (3)

H. Rong, A. Liu, R. Nicolaescu, M. Paniccia, O. Cohen, and D. Hak, Appl. Phys. Lett. 85, 2196 (2004).
[CrossRef]

H. Tsang, C. Wong, T. Liang, I. Day, S. Roberts, A. Harpin, J. Drake, and M. Asghari, Appl. Phys. Lett. 80, 416 (2002).
[CrossRef]

M. Dinu, F. Quochi, and H. Garcia, Appl. Phys. Lett. 82, 2594 (2003).
[CrossRef]

Nature (2)

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 292 (2005).
[CrossRef] [PubMed]

H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef] [PubMed]

Opt. Express (4)

Other (2)

G. P. Agrawal, Lightwave Technology: Components and Devices (Wiley, 2004).

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

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Figures (5)

Fig. 1
Fig. 1

Modal refractive indices of the TE 0 (dotted curve) and TM 0 (solid curve) modes for W = 1.5 μ m , H = 1.55 μ m , and h = 0.7 μ m . The material dispersion of silicon is shown by a dashed curve. The inset shows the waveguide geometry.

Fig. 2
Fig. 2

Wavelength dependence of β 2 and β 3 for the TE 0 (dotted curves) and TM 0 (solid curves) modes.

Fig. 3
Fig. 3

Dependence of ZDW on (a) W, (b) H, and (c) h for the TE 0 (dotted curves) and TM 0 (solid curves) modes; (d) contours of optimum h in the range 0.3 1.1 μ m in W H plane for the TM 0 mode.

Fig. 4
Fig. 4

Contours of constant ZDW for the TM 0 mode as a function of W and H in the range of λ 0 = 1.4 2 μ m ; etch thickness h is optimized for each set of W and H and is in the range h H = 0.4 0.8 .

Fig. 5
Fig. 5

Output (a) pulse shape and (b) spectrum with (solid curves) and without (dashed curves), TPA effects with third-order dispersion and linear loss included in both cases; dotted curves show input profiles. The curve marked path-averaged shows that loss-induced pulse broadening can be reduced by increasing the input peak power suitably.

Equations (2)

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A z + α 2 A + i β 2 2 2 A t 2 β 3 6 3 A t 3 = i κ A 2 A α f 2 A ,
N t = β TPA 2 h ν 0 P 2 ( z ) A eff 2 N τ ,

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