Abstract

We demonstrate that vertical subwavelength diameter nanowires exhibit tunable and selective resonant absorption using numerical simulations and optical waveguide theory. Incident light on vertical nanowires only excites hybrid TM-dominant HE1m leaky modes due to symmetry matching requirements. The transverse resonances associated with these hybrid modes result in strong absorption enhancements that may be adjusted by changing the nanowire diameter. In particular, the fundamental HE11 transverse resonance may be tuned across a wide range of wavelengths and is separated from that of the HE12 mode by a large spectral gap, which is advantageous for wavelength selectivity. Leaky longitudinal resonances result in weaker absorption peaks at larger wavelengths. We further study the effect of incident light angle on the absorption spectra.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. Wang, M. S. Gudiksen, X. Duan, Y. Cui, and C. M. Lieber, Science 293, 1455 (2001).
    [CrossRef]
  2. C. Lin and M. L. Povinelli, Opt. Express 17, 19371 (2009).
    [CrossRef]
  3. E. Garnett and P. Yang, Nano Lett. 10, 1082 (2010).
    [CrossRef]
  4. H. Bao and X. Ruan, Opt. Lett. 35, 3378 (2010).
    [CrossRef]
  5. Q. G. Du, C. H. Kam, H. V. Demir, H. Y. Yu, and X. W. Sun, Opt. Lett. 36, 1884 (2011).
    [CrossRef]
  6. L. Cao, J. Park, P. Fan, B. Clemens, and M. L. Brongersma, Nano Lett. 10, 1229 (2010).
    [CrossRef]
  7. A. Zhang, S. You, C. Soci, Y. Liu, D. Wang, and Y. Lo, Appl. Phys. Lett. 93, 121110 (2008).
    [CrossRef]
  8. Y. Ahn, J. Dunning, and J. Park, Nano Lett. 5, 1367 (2005).
    [CrossRef]
  9. C. F. Zhang, Z. W. Dong, G. J. You, S. X. Qian, and H. Deng, Opt. Lett. 31, 3345 (2006).
    [CrossRef]
  10. J.-Y. Jung, K. Zhou, H.-D. Um, Z. Guo, S.-W. Jee, K.-T. Park, and J.-H. Lee, Opt. Lett. 36, 2677 (2011).
    [CrossRef]
  11. L. Cao, J. S. White, J. Park, J. A. Schuller, B. M. Clemens, and M. L. Brongersma, Nat. Mater. 8, 643 (2009).
    [CrossRef]
  12. C. Brackett, IEEE J. Sel. Areas Commun. 8, 948 (1990).
    [CrossRef]
  13. H. Pettersson, J. Trägårdh, A. I. Persson, L. Landin, D. Hessman, and L. Samuelson, Nano Lett. 6, 229 (2006).
    [CrossRef]
  14. A. W. Snyder and J. Love, Optical Waveguide Theory, 1st ed. (Springer, 1983).
  15. D. E. Palik, Handbook of Optical Constants of Solids, Vol. 1 (Academic, 1997).
  16. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).
  17. B. Wang and P. W. Leu, Nanotechnology 23, 194003 (2012).
    [CrossRef]

2012 (1)

B. Wang and P. W. Leu, Nanotechnology 23, 194003 (2012).
[CrossRef]

2011 (2)

2010 (3)

H. Bao and X. Ruan, Opt. Lett. 35, 3378 (2010).
[CrossRef]

E. Garnett and P. Yang, Nano Lett. 10, 1082 (2010).
[CrossRef]

L. Cao, J. Park, P. Fan, B. Clemens, and M. L. Brongersma, Nano Lett. 10, 1229 (2010).
[CrossRef]

2009 (2)

L. Cao, J. S. White, J. Park, J. A. Schuller, B. M. Clemens, and M. L. Brongersma, Nat. Mater. 8, 643 (2009).
[CrossRef]

C. Lin and M. L. Povinelli, Opt. Express 17, 19371 (2009).
[CrossRef]

2008 (1)

A. Zhang, S. You, C. Soci, Y. Liu, D. Wang, and Y. Lo, Appl. Phys. Lett. 93, 121110 (2008).
[CrossRef]

2006 (2)

H. Pettersson, J. Trägårdh, A. I. Persson, L. Landin, D. Hessman, and L. Samuelson, Nano Lett. 6, 229 (2006).
[CrossRef]

C. F. Zhang, Z. W. Dong, G. J. You, S. X. Qian, and H. Deng, Opt. Lett. 31, 3345 (2006).
[CrossRef]

2005 (1)

Y. Ahn, J. Dunning, and J. Park, Nano Lett. 5, 1367 (2005).
[CrossRef]

2001 (1)

J. Wang, M. S. Gudiksen, X. Duan, Y. Cui, and C. M. Lieber, Science 293, 1455 (2001).
[CrossRef]

1990 (1)

C. Brackett, IEEE J. Sel. Areas Commun. 8, 948 (1990).
[CrossRef]

Ahn, Y.

Y. Ahn, J. Dunning, and J. Park, Nano Lett. 5, 1367 (2005).
[CrossRef]

Bao, H.

Brackett, C.

C. Brackett, IEEE J. Sel. Areas Commun. 8, 948 (1990).
[CrossRef]

Brongersma, M. L.

L. Cao, J. Park, P. Fan, B. Clemens, and M. L. Brongersma, Nano Lett. 10, 1229 (2010).
[CrossRef]

L. Cao, J. S. White, J. Park, J. A. Schuller, B. M. Clemens, and M. L. Brongersma, Nat. Mater. 8, 643 (2009).
[CrossRef]

Cao, L.

L. Cao, J. Park, P. Fan, B. Clemens, and M. L. Brongersma, Nano Lett. 10, 1229 (2010).
[CrossRef]

L. Cao, J. S. White, J. Park, J. A. Schuller, B. M. Clemens, and M. L. Brongersma, Nat. Mater. 8, 643 (2009).
[CrossRef]

Clemens, B.

L. Cao, J. Park, P. Fan, B. Clemens, and M. L. Brongersma, Nano Lett. 10, 1229 (2010).
[CrossRef]

Clemens, B. M.

L. Cao, J. S. White, J. Park, J. A. Schuller, B. M. Clemens, and M. L. Brongersma, Nat. Mater. 8, 643 (2009).
[CrossRef]

Cui, Y.

J. Wang, M. S. Gudiksen, X. Duan, Y. Cui, and C. M. Lieber, Science 293, 1455 (2001).
[CrossRef]

Demir, H. V.

Deng, H.

Dong, Z. W.

Du, Q. G.

Duan, X.

J. Wang, M. S. Gudiksen, X. Duan, Y. Cui, and C. M. Lieber, Science 293, 1455 (2001).
[CrossRef]

Dunning, J.

Y. Ahn, J. Dunning, and J. Park, Nano Lett. 5, 1367 (2005).
[CrossRef]

Fan, P.

L. Cao, J. Park, P. Fan, B. Clemens, and M. L. Brongersma, Nano Lett. 10, 1229 (2010).
[CrossRef]

Garnett, E.

E. Garnett and P. Yang, Nano Lett. 10, 1082 (2010).
[CrossRef]

Gudiksen, M. S.

J. Wang, M. S. Gudiksen, X. Duan, Y. Cui, and C. M. Lieber, Science 293, 1455 (2001).
[CrossRef]

Guo, Z.

Hessman, D.

H. Pettersson, J. Trägårdh, A. I. Persson, L. Landin, D. Hessman, and L. Samuelson, Nano Lett. 6, 229 (2006).
[CrossRef]

Jee, S.-W.

Joannopoulos, J. D.

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

Johnson, S. G.

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

Jung, J.-Y.

Kam, C. H.

Landin, L.

H. Pettersson, J. Trägårdh, A. I. Persson, L. Landin, D. Hessman, and L. Samuelson, Nano Lett. 6, 229 (2006).
[CrossRef]

Lee, J.-H.

Leu, P. W.

B. Wang and P. W. Leu, Nanotechnology 23, 194003 (2012).
[CrossRef]

Lieber, C. M.

J. Wang, M. S. Gudiksen, X. Duan, Y. Cui, and C. M. Lieber, Science 293, 1455 (2001).
[CrossRef]

Lin, C.

Liu, Y.

A. Zhang, S. You, C. Soci, Y. Liu, D. Wang, and Y. Lo, Appl. Phys. Lett. 93, 121110 (2008).
[CrossRef]

Lo, Y.

A. Zhang, S. You, C. Soci, Y. Liu, D. Wang, and Y. Lo, Appl. Phys. Lett. 93, 121110 (2008).
[CrossRef]

Love, J.

A. W. Snyder and J. Love, Optical Waveguide Theory, 1st ed. (Springer, 1983).

Meade, R. D.

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

Palik, D. E.

D. E. Palik, Handbook of Optical Constants of Solids, Vol. 1 (Academic, 1997).

Park, J.

L. Cao, J. Park, P. Fan, B. Clemens, and M. L. Brongersma, Nano Lett. 10, 1229 (2010).
[CrossRef]

L. Cao, J. S. White, J. Park, J. A. Schuller, B. M. Clemens, and M. L. Brongersma, Nat. Mater. 8, 643 (2009).
[CrossRef]

Y. Ahn, J. Dunning, and J. Park, Nano Lett. 5, 1367 (2005).
[CrossRef]

Park, K.-T.

Persson, A. I.

H. Pettersson, J. Trägårdh, A. I. Persson, L. Landin, D. Hessman, and L. Samuelson, Nano Lett. 6, 229 (2006).
[CrossRef]

Pettersson, H.

H. Pettersson, J. Trägårdh, A. I. Persson, L. Landin, D. Hessman, and L. Samuelson, Nano Lett. 6, 229 (2006).
[CrossRef]

Povinelli, M. L.

Qian, S. X.

Ruan, X.

Samuelson, L.

H. Pettersson, J. Trägårdh, A. I. Persson, L. Landin, D. Hessman, and L. Samuelson, Nano Lett. 6, 229 (2006).
[CrossRef]

Schuller, J. A.

L. Cao, J. S. White, J. Park, J. A. Schuller, B. M. Clemens, and M. L. Brongersma, Nat. Mater. 8, 643 (2009).
[CrossRef]

Snyder, A. W.

A. W. Snyder and J. Love, Optical Waveguide Theory, 1st ed. (Springer, 1983).

Soci, C.

A. Zhang, S. You, C. Soci, Y. Liu, D. Wang, and Y. Lo, Appl. Phys. Lett. 93, 121110 (2008).
[CrossRef]

Sun, X. W.

Trägårdh, J.

H. Pettersson, J. Trägårdh, A. I. Persson, L. Landin, D. Hessman, and L. Samuelson, Nano Lett. 6, 229 (2006).
[CrossRef]

Um, H.-D.

Wang, B.

B. Wang and P. W. Leu, Nanotechnology 23, 194003 (2012).
[CrossRef]

Wang, D.

A. Zhang, S. You, C. Soci, Y. Liu, D. Wang, and Y. Lo, Appl. Phys. Lett. 93, 121110 (2008).
[CrossRef]

Wang, J.

J. Wang, M. S. Gudiksen, X. Duan, Y. Cui, and C. M. Lieber, Science 293, 1455 (2001).
[CrossRef]

White, J. S.

L. Cao, J. S. White, J. Park, J. A. Schuller, B. M. Clemens, and M. L. Brongersma, Nat. Mater. 8, 643 (2009).
[CrossRef]

Winn, J. N.

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

Yang, P.

E. Garnett and P. Yang, Nano Lett. 10, 1082 (2010).
[CrossRef]

You, G. J.

You, S.

A. Zhang, S. You, C. Soci, Y. Liu, D. Wang, and Y. Lo, Appl. Phys. Lett. 93, 121110 (2008).
[CrossRef]

Yu, H. Y.

Zhang, A.

A. Zhang, S. You, C. Soci, Y. Liu, D. Wang, and Y. Lo, Appl. Phys. Lett. 93, 121110 (2008).
[CrossRef]

Zhang, C. F.

Zhou, K.

Appl. Phys. Lett. (1)

A. Zhang, S. You, C. Soci, Y. Liu, D. Wang, and Y. Lo, Appl. Phys. Lett. 93, 121110 (2008).
[CrossRef]

IEEE J. Sel. Areas Commun. (1)

C. Brackett, IEEE J. Sel. Areas Commun. 8, 948 (1990).
[CrossRef]

Nano Lett. (4)

H. Pettersson, J. Trägårdh, A. I. Persson, L. Landin, D. Hessman, and L. Samuelson, Nano Lett. 6, 229 (2006).
[CrossRef]

Y. Ahn, J. Dunning, and J. Park, Nano Lett. 5, 1367 (2005).
[CrossRef]

E. Garnett and P. Yang, Nano Lett. 10, 1082 (2010).
[CrossRef]

L. Cao, J. Park, P. Fan, B. Clemens, and M. L. Brongersma, Nano Lett. 10, 1229 (2010).
[CrossRef]

Nanotechnology (1)

B. Wang and P. W. Leu, Nanotechnology 23, 194003 (2012).
[CrossRef]

Nat. Mater. (1)

L. Cao, J. S. White, J. Park, J. A. Schuller, B. M. Clemens, and M. L. Brongersma, Nat. Mater. 8, 643 (2009).
[CrossRef]

Opt. Express (1)

Opt. Lett. (4)

Science (1)

J. Wang, M. S. Gudiksen, X. Duan, Y. Cui, and C. M. Lieber, Science 293, 1455 (2001).
[CrossRef]

Other (3)

A. W. Snyder and J. Love, Optical Waveguide Theory, 1st ed. (Springer, 1983).

D. E. Palik, Handbook of Optical Constants of Solids, Vol. 1 (Academic, 1997).

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1.

(a) Vertical nanowires array schematic. (b) Contour plot of absorption as a function of photon wavelength and nanowire diameter for vertical Si nanowire arrays. The dash-dotted white lines indicate nanowires illustrated in (c). (c) Absorption spectrum of nanowires with d=70, 85, and 120 nm for blue, green, and red photodetectors.

Fig. 2.
Fig. 2.

Electric field intensity plots of leaky mode resonances for d=120 vertical nanowires at (a) λ=670 and (b) 400 nm which correspond to the HE11 and HE12 modes, respectively. The top row illustrates the top view of |E(r)|2 at z=0nm, while the bottom row shows a side view at y=0. White lines indicate the edges of the nanowires.

Fig. 3.
Fig. 3.

Angular dependence of absorption for (a) TE-polarized light and (b) TM-polarized light.

Equations (1)

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

(n12Jv(u)uJv(u)+n02Kv(w)wKv(w))×(Jv(u)uJv(u)+Kv(w)wKv(w))=(1u2+1w2)2(βvk0)2,

Metrics