Abstract

Ag nanocone enhanced light trapping in the silicon substrate is numerically investigated. For a wide range of the dielectric spacer thickness, the normalized scattering cross section of the rear located particles is higher than that of the front located particles, which is contrary to previous reports. This design not only avoids the conflict with the detrimental Fano effect but is also beneficial to the rear located particles. The fraction of the incident light scattered into silicon is calculated. The path length enhancement is assessed. The Ag nanocone shows highly competitive light-trapping potential.

© 2013 Optical Society of America

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2012 (3)

Y. Yang, S. Pillai, H. Mehrvarz, H. Kampwerth, A. Ho-Baillie, and M. A. Green, Sol. Energy Mater. Sol. Cells 101, 217 (2012).
[CrossRef]

M. A. Green and S. Pillai, Nat. Photonics 6, 130 (2012).
[CrossRef]

Y. Zhang, Z. Ouyang, N. Stokes, B. Jia, Z. Shi, and M. Gu, Appl. Phys. Lett. 100, 151101 (2012).
[CrossRef]

2011 (1)

2010 (3)

F. J. Beck, S. Mokkapati, A. Polman, and K. R. Catchpole, Appl. Phys. Lett. 96, 033113 (2010).
[CrossRef]

J. B. Lassiter, H. Sobhani, J. A. Fan, J. Kundu, F. Capasso, P. Nordlander, and N. J. Halas, Nano Lett. 10, 3184(2010).
[CrossRef]

H. A. Atwater and A. Polman, Nat. Mater. 9, 205 (2010).
[CrossRef]

2008 (2)

K. R. Catchpole and A. Polman, Appl. Phys. Lett. 93, 191113 (2008).
[CrossRef]

J. Benick, B. Hoex, M. C. van de Sanden, W. M. Kessels, O. Schultz, and S. W. Glunz, Appl. Phys. Lett. 92, 253504 (2008).
[CrossRef]

2007 (3)

L. J. Guo, Adv. Mater. 19, 495 (2007).
[CrossRef]

B. Hoex, J. Schmidt, R. Bock, P. P. Altermatt, M. C. van de Sanden, and W. M. M. Kessels, Appl. Phys. Lett. 91, 112107 (2007).
[CrossRef]

S. H. Lim, W. Mar, P. Matheu, D. Derkacs, and E. T. Yu, J. Appl. Phys. 101, 104309 (2007).
[CrossRef]

1998 (1)

H. R. Stuart and D. G. Hall, Appl. Phys. Lett. 73, 3815 (1998).
[CrossRef]

Altermatt, P. P.

B. Hoex, J. Schmidt, R. Bock, P. P. Altermatt, M. C. van de Sanden, and W. M. M. Kessels, Appl. Phys. Lett. 91, 112107 (2007).
[CrossRef]

Atwater, H. A.

H. A. Atwater and A. Polman, Nat. Mater. 9, 205 (2010).
[CrossRef]

Beck, F. J.

F. J. Beck, E. Verhagen, S. Mokkapati, A. Polman, and K. R. Catchpole, Opt. Express 19, A146 (2011).
[CrossRef]

F. J. Beck, S. Mokkapati, A. Polman, and K. R. Catchpole, Appl. Phys. Lett. 96, 033113 (2010).
[CrossRef]

Benick, J.

J. Benick, B. Hoex, M. C. van de Sanden, W. M. Kessels, O. Schultz, and S. W. Glunz, Appl. Phys. Lett. 92, 253504 (2008).
[CrossRef]

Bock, R.

B. Hoex, J. Schmidt, R. Bock, P. P. Altermatt, M. C. van de Sanden, and W. M. M. Kessels, Appl. Phys. Lett. 91, 112107 (2007).
[CrossRef]

Capasso, F.

J. B. Lassiter, H. Sobhani, J. A. Fan, J. Kundu, F. Capasso, P. Nordlander, and N. J. Halas, Nano Lett. 10, 3184(2010).
[CrossRef]

Catchpole, K. R.

F. J. Beck, E. Verhagen, S. Mokkapati, A. Polman, and K. R. Catchpole, Opt. Express 19, A146 (2011).
[CrossRef]

F. J. Beck, S. Mokkapati, A. Polman, and K. R. Catchpole, Appl. Phys. Lett. 96, 033113 (2010).
[CrossRef]

K. R. Catchpole and A. Polman, Appl. Phys. Lett. 93, 191113 (2008).
[CrossRef]

Derkacs, D.

S. H. Lim, W. Mar, P. Matheu, D. Derkacs, and E. T. Yu, J. Appl. Phys. 101, 104309 (2007).
[CrossRef]

Fan, J. A.

J. B. Lassiter, H. Sobhani, J. A. Fan, J. Kundu, F. Capasso, P. Nordlander, and N. J. Halas, Nano Lett. 10, 3184(2010).
[CrossRef]

Glunz, S. W.

J. Benick, B. Hoex, M. C. van de Sanden, W. M. Kessels, O. Schultz, and S. W. Glunz, Appl. Phys. Lett. 92, 253504 (2008).
[CrossRef]

Green, M. A.

Y. Yang, S. Pillai, H. Mehrvarz, H. Kampwerth, A. Ho-Baillie, and M. A. Green, Sol. Energy Mater. Sol. Cells 101, 217 (2012).
[CrossRef]

M. A. Green and S. Pillai, Nat. Photonics 6, 130 (2012).
[CrossRef]

Gu, M.

Y. Zhang, Z. Ouyang, N. Stokes, B. Jia, Z. Shi, and M. Gu, Appl. Phys. Lett. 100, 151101 (2012).
[CrossRef]

Guo, L. J.

L. J. Guo, Adv. Mater. 19, 495 (2007).
[CrossRef]

Halas, N. J.

J. B. Lassiter, H. Sobhani, J. A. Fan, J. Kundu, F. Capasso, P. Nordlander, and N. J. Halas, Nano Lett. 10, 3184(2010).
[CrossRef]

Hall, D. G.

H. R. Stuart and D. G. Hall, Appl. Phys. Lett. 73, 3815 (1998).
[CrossRef]

Ho-Baillie, A.

Y. Yang, S. Pillai, H. Mehrvarz, H. Kampwerth, A. Ho-Baillie, and M. A. Green, Sol. Energy Mater. Sol. Cells 101, 217 (2012).
[CrossRef]

Hoex, B.

J. Benick, B. Hoex, M. C. van de Sanden, W. M. Kessels, O. Schultz, and S. W. Glunz, Appl. Phys. Lett. 92, 253504 (2008).
[CrossRef]

B. Hoex, J. Schmidt, R. Bock, P. P. Altermatt, M. C. van de Sanden, and W. M. M. Kessels, Appl. Phys. Lett. 91, 112107 (2007).
[CrossRef]

Jia, B.

Y. Zhang, Z. Ouyang, N. Stokes, B. Jia, Z. Shi, and M. Gu, Appl. Phys. Lett. 100, 151101 (2012).
[CrossRef]

Kampwerth, H.

Y. Yang, S. Pillai, H. Mehrvarz, H. Kampwerth, A. Ho-Baillie, and M. A. Green, Sol. Energy Mater. Sol. Cells 101, 217 (2012).
[CrossRef]

Kessels, W. M.

J. Benick, B. Hoex, M. C. van de Sanden, W. M. Kessels, O. Schultz, and S. W. Glunz, Appl. Phys. Lett. 92, 253504 (2008).
[CrossRef]

Kessels, W. M. M.

B. Hoex, J. Schmidt, R. Bock, P. P. Altermatt, M. C. van de Sanden, and W. M. M. Kessels, Appl. Phys. Lett. 91, 112107 (2007).
[CrossRef]

Kundu, J.

J. B. Lassiter, H. Sobhani, J. A. Fan, J. Kundu, F. Capasso, P. Nordlander, and N. J. Halas, Nano Lett. 10, 3184(2010).
[CrossRef]

Lassiter, J. B.

J. B. Lassiter, H. Sobhani, J. A. Fan, J. Kundu, F. Capasso, P. Nordlander, and N. J. Halas, Nano Lett. 10, 3184(2010).
[CrossRef]

Lim, S. H.

S. H. Lim, W. Mar, P. Matheu, D. Derkacs, and E. T. Yu, J. Appl. Phys. 101, 104309 (2007).
[CrossRef]

Mar, W.

S. H. Lim, W. Mar, P. Matheu, D. Derkacs, and E. T. Yu, J. Appl. Phys. 101, 104309 (2007).
[CrossRef]

Matheu, P.

S. H. Lim, W. Mar, P. Matheu, D. Derkacs, and E. T. Yu, J. Appl. Phys. 101, 104309 (2007).
[CrossRef]

Mehrvarz, H.

Y. Yang, S. Pillai, H. Mehrvarz, H. Kampwerth, A. Ho-Baillie, and M. A. Green, Sol. Energy Mater. Sol. Cells 101, 217 (2012).
[CrossRef]

Mokkapati, S.

F. J. Beck, E. Verhagen, S. Mokkapati, A. Polman, and K. R. Catchpole, Opt. Express 19, A146 (2011).
[CrossRef]

F. J. Beck, S. Mokkapati, A. Polman, and K. R. Catchpole, Appl. Phys. Lett. 96, 033113 (2010).
[CrossRef]

Nordlander, P.

J. B. Lassiter, H. Sobhani, J. A. Fan, J. Kundu, F. Capasso, P. Nordlander, and N. J. Halas, Nano Lett. 10, 3184(2010).
[CrossRef]

Ouyang, Z.

Y. Zhang, Z. Ouyang, N. Stokes, B. Jia, Z. Shi, and M. Gu, Appl. Phys. Lett. 100, 151101 (2012).
[CrossRef]

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids(Elsevier, 1998).

Pillai, S.

Y. Yang, S. Pillai, H. Mehrvarz, H. Kampwerth, A. Ho-Baillie, and M. A. Green, Sol. Energy Mater. Sol. Cells 101, 217 (2012).
[CrossRef]

M. A. Green and S. Pillai, Nat. Photonics 6, 130 (2012).
[CrossRef]

Polman, A.

F. J. Beck, E. Verhagen, S. Mokkapati, A. Polman, and K. R. Catchpole, Opt. Express 19, A146 (2011).
[CrossRef]

H. A. Atwater and A. Polman, Nat. Mater. 9, 205 (2010).
[CrossRef]

F. J. Beck, S. Mokkapati, A. Polman, and K. R. Catchpole, Appl. Phys. Lett. 96, 033113 (2010).
[CrossRef]

K. R. Catchpole and A. Polman, Appl. Phys. Lett. 93, 191113 (2008).
[CrossRef]

Schmidt, J.

B. Hoex, J. Schmidt, R. Bock, P. P. Altermatt, M. C. van de Sanden, and W. M. M. Kessels, Appl. Phys. Lett. 91, 112107 (2007).
[CrossRef]

Schultz, O.

J. Benick, B. Hoex, M. C. van de Sanden, W. M. Kessels, O. Schultz, and S. W. Glunz, Appl. Phys. Lett. 92, 253504 (2008).
[CrossRef]

Shi, Z.

Y. Zhang, Z. Ouyang, N. Stokes, B. Jia, Z. Shi, and M. Gu, Appl. Phys. Lett. 100, 151101 (2012).
[CrossRef]

Sobhani, H.

J. B. Lassiter, H. Sobhani, J. A. Fan, J. Kundu, F. Capasso, P. Nordlander, and N. J. Halas, Nano Lett. 10, 3184(2010).
[CrossRef]

Stokes, N.

Y. Zhang, Z. Ouyang, N. Stokes, B. Jia, Z. Shi, and M. Gu, Appl. Phys. Lett. 100, 151101 (2012).
[CrossRef]

Stuart, H. R.

H. R. Stuart and D. G. Hall, Appl. Phys. Lett. 73, 3815 (1998).
[CrossRef]

van de Sanden, M. C.

J. Benick, B. Hoex, M. C. van de Sanden, W. M. Kessels, O. Schultz, and S. W. Glunz, Appl. Phys. Lett. 92, 253504 (2008).
[CrossRef]

B. Hoex, J. Schmidt, R. Bock, P. P. Altermatt, M. C. van de Sanden, and W. M. M. Kessels, Appl. Phys. Lett. 91, 112107 (2007).
[CrossRef]

Verhagen, E.

Yang, Y.

Y. Yang, S. Pillai, H. Mehrvarz, H. Kampwerth, A. Ho-Baillie, and M. A. Green, Sol. Energy Mater. Sol. Cells 101, 217 (2012).
[CrossRef]

Yu, E. T.

S. H. Lim, W. Mar, P. Matheu, D. Derkacs, and E. T. Yu, J. Appl. Phys. 101, 104309 (2007).
[CrossRef]

Zhang, Y.

Y. Zhang, Z. Ouyang, N. Stokes, B. Jia, Z. Shi, and M. Gu, Appl. Phys. Lett. 100, 151101 (2012).
[CrossRef]

Adv. Mater. (1)

L. J. Guo, Adv. Mater. 19, 495 (2007).
[CrossRef]

Appl. Phys. Lett. (6)

K. R. Catchpole and A. Polman, Appl. Phys. Lett. 93, 191113 (2008).
[CrossRef]

B. Hoex, J. Schmidt, R. Bock, P. P. Altermatt, M. C. van de Sanden, and W. M. M. Kessels, Appl. Phys. Lett. 91, 112107 (2007).
[CrossRef]

J. Benick, B. Hoex, M. C. van de Sanden, W. M. Kessels, O. Schultz, and S. W. Glunz, Appl. Phys. Lett. 92, 253504 (2008).
[CrossRef]

F. J. Beck, S. Mokkapati, A. Polman, and K. R. Catchpole, Appl. Phys. Lett. 96, 033113 (2010).
[CrossRef]

Y. Zhang, Z. Ouyang, N. Stokes, B. Jia, Z. Shi, and M. Gu, Appl. Phys. Lett. 100, 151101 (2012).
[CrossRef]

H. R. Stuart and D. G. Hall, Appl. Phys. Lett. 73, 3815 (1998).
[CrossRef]

J. Appl. Phys. (1)

S. H. Lim, W. Mar, P. Matheu, D. Derkacs, and E. T. Yu, J. Appl. Phys. 101, 104309 (2007).
[CrossRef]

Nano Lett. (1)

J. B. Lassiter, H. Sobhani, J. A. Fan, J. Kundu, F. Capasso, P. Nordlander, and N. J. Halas, Nano Lett. 10, 3184(2010).
[CrossRef]

Nat. Mater. (1)

H. A. Atwater and A. Polman, Nat. Mater. 9, 205 (2010).
[CrossRef]

Nat. Photonics (1)

M. A. Green and S. Pillai, Nat. Photonics 6, 130 (2012).
[CrossRef]

Opt. Express (1)

Sol. Energy Mater. Sol. Cells (1)

Y. Yang, S. Pillai, H. Mehrvarz, H. Kampwerth, A. Ho-Baillie, and M. A. Green, Sol. Energy Mater. Sol. Cells 101, 217 (2012).
[CrossRef]

Other (2)

www.lumerical.com .

E. D. Palik, Handbook of Optical Constants of Solids(Elsevier, 1998).

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Figures (4)

Fig. 1.
Fig. 1.

Cross-section schematic diagram of the model. In the source region, the black and red arrows denote the incident light directions for the front and rear located particles, respectively.

Fig. 2.
Fig. 2.

Normalized scattering cross section Qscat for the front located particles (dashed curve) and the rear located particles (solid curve) with Al2O3 spacer thickness of 30 nm (red) and 10 nm (blue), respectively.

Fig. 3.
Fig. 3.

Fraction of incident light scattered into the silicon substrate, Fabs, for the considered four kinds of Ag geometric particles under the front located particles with a 30 nm thick Al2O3 dielectric spacer.

Fig. 4.
Fig. 4.

Far-field scattering patterns in the silicon substrate (a) and air (b) for the rear located nanocones. The bottom-right insets are a 3D view.

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