Abstract

Photonic band structures of annular photonic-crystal (APC) silicon-on-insulator (SOI) asymmetric slabs with finite thickness were investigated by the three-dimensional plane-wave expansion method. The results show that for a broad range of air-volume filling factors, APC slabs can exhibit a significantly larger bandgap than conventional circular-hole photonic-crystal (PC) slabs. Bandgap enhancements over conventional air hole PC SOI slabs as large as twofold are predicted for low air-volume filling factors below 15%. This desirable behavior suggests a potential for APC SOI slabs to serve as the basis of various optical cavities, waveguides, and mirrors.

© 2011 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. S. G. Johnson, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, Phys. Rev. B 60, 5751 (1999).
    [CrossRef]
  2. M. Qiu, Phys. Rev. B 66, 033103 (2002).
    [CrossRef]
  3. H. Kurt and D. S. Citrin, Opt. Express 13, 10316 (2005).
    [CrossRef] [PubMed]
  4. H. Kurt, R. Hao, Y. Chen, J. Feng, J. Blair, D. P. Gaillot, C. Summers, D. S. Citrin, and Z. Zhou, Opt. Lett. 33, 1614(2008).
    [CrossRef] [PubMed]
  5. P. Shi, K. Huang, X. Kang, and Y. Li, Opt. Express 18, 5221 (2010).
    [CrossRef] [PubMed]
  6. A. Saynatjoki, M. Mulot, K. Vynck, D. Cassagne, J. Ahopelto, and H. Lipsanen, Photon. Nanostr. Fundam. Appl. 6, 42 (2008).
    [CrossRef]
  7. J. B. Feng, Y. Chen, J. Blair, H. Kurt, R. Hao, D. S. Citrin, C. J. Summers, and Z. P. Zhou, J. Vac. Sci. Technol. B 27, 568 (2009).
    [CrossRef]
  8. A. Cicek and B. Ulug, Opt. Express 17, 18381 (2009).
    [CrossRef] [PubMed]
  9. J. Jagerska, N. Le Thomas, V. Zabelin, R. Houdre, W. Bogaerts, P. Dumon, and R. Baets, Opt. Lett. 34, 359 (2009).
    [CrossRef] [PubMed]
  10. J. Hou, D. Gao, H. Wu, and Z. Zhou, Opt. Commun. 282, 3172 (2009).
    [CrossRef]
  11. M. Mulot, A. Saynatjoki, S. Arpiainen, H. Lipsanen, and J. Ahopelto, J. Opt. A 9, S415 (2007).
    [CrossRef]
  12. S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173 (2001).
    [CrossRef] [PubMed]
  13. M. Qiu, Appl. Phys. Lett. 81, 1163 (2002).
    [CrossRef]
  14. K. Kawano and T. Kitoh, Introduction to Optical Waveguide Analysis: Solving Maxwell’s Equations and the Schrödinger Equation (Wiley, 2001).
    [PubMed]
  15. K. Srinivasan and O. Painter, Opt. Express 10, 670 (2002).
    [PubMed]

2010 (1)

2009 (4)

J. B. Feng, Y. Chen, J. Blair, H. Kurt, R. Hao, D. S. Citrin, C. J. Summers, and Z. P. Zhou, J. Vac. Sci. Technol. B 27, 568 (2009).
[CrossRef]

A. Cicek and B. Ulug, Opt. Express 17, 18381 (2009).
[CrossRef] [PubMed]

J. Jagerska, N. Le Thomas, V. Zabelin, R. Houdre, W. Bogaerts, P. Dumon, and R. Baets, Opt. Lett. 34, 359 (2009).
[CrossRef] [PubMed]

J. Hou, D. Gao, H. Wu, and Z. Zhou, Opt. Commun. 282, 3172 (2009).
[CrossRef]

2008 (2)

H. Kurt, R. Hao, Y. Chen, J. Feng, J. Blair, D. P. Gaillot, C. Summers, D. S. Citrin, and Z. Zhou, Opt. Lett. 33, 1614(2008).
[CrossRef] [PubMed]

A. Saynatjoki, M. Mulot, K. Vynck, D. Cassagne, J. Ahopelto, and H. Lipsanen, Photon. Nanostr. Fundam. Appl. 6, 42 (2008).
[CrossRef]

2007 (1)

M. Mulot, A. Saynatjoki, S. Arpiainen, H. Lipsanen, and J. Ahopelto, J. Opt. A 9, S415 (2007).
[CrossRef]

2005 (1)

2002 (3)

M. Qiu, Phys. Rev. B 66, 033103 (2002).
[CrossRef]

M. Qiu, Appl. Phys. Lett. 81, 1163 (2002).
[CrossRef]

K. Srinivasan and O. Painter, Opt. Express 10, 670 (2002).
[PubMed]

2001 (2)

K. Kawano and T. Kitoh, Introduction to Optical Waveguide Analysis: Solving Maxwell’s Equations and the Schrödinger Equation (Wiley, 2001).
[PubMed]

S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173 (2001).
[CrossRef] [PubMed]

1999 (1)

S. G. Johnson, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, Phys. Rev. B 60, 5751 (1999).
[CrossRef]

Ahopelto, J.

A. Saynatjoki, M. Mulot, K. Vynck, D. Cassagne, J. Ahopelto, and H. Lipsanen, Photon. Nanostr. Fundam. Appl. 6, 42 (2008).
[CrossRef]

M. Mulot, A. Saynatjoki, S. Arpiainen, H. Lipsanen, and J. Ahopelto, J. Opt. A 9, S415 (2007).
[CrossRef]

Arpiainen, S.

M. Mulot, A. Saynatjoki, S. Arpiainen, H. Lipsanen, and J. Ahopelto, J. Opt. A 9, S415 (2007).
[CrossRef]

Baets, R.

Blair, J.

J. B. Feng, Y. Chen, J. Blair, H. Kurt, R. Hao, D. S. Citrin, C. J. Summers, and Z. P. Zhou, J. Vac. Sci. Technol. B 27, 568 (2009).
[CrossRef]

H. Kurt, R. Hao, Y. Chen, J. Feng, J. Blair, D. P. Gaillot, C. Summers, D. S. Citrin, and Z. Zhou, Opt. Lett. 33, 1614(2008).
[CrossRef] [PubMed]

Bogaerts, W.

Cassagne, D.

A. Saynatjoki, M. Mulot, K. Vynck, D. Cassagne, J. Ahopelto, and H. Lipsanen, Photon. Nanostr. Fundam. Appl. 6, 42 (2008).
[CrossRef]

Chen, Y.

J. B. Feng, Y. Chen, J. Blair, H. Kurt, R. Hao, D. S. Citrin, C. J. Summers, and Z. P. Zhou, J. Vac. Sci. Technol. B 27, 568 (2009).
[CrossRef]

H. Kurt, R. Hao, Y. Chen, J. Feng, J. Blair, D. P. Gaillot, C. Summers, D. S. Citrin, and Z. Zhou, Opt. Lett. 33, 1614(2008).
[CrossRef] [PubMed]

Cicek, A.

Citrin, D. S.

Dumon, P.

Fan, S. H.

S. G. Johnson, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, Phys. Rev. B 60, 5751 (1999).
[CrossRef]

Feng, J.

Feng, J. B.

J. B. Feng, Y. Chen, J. Blair, H. Kurt, R. Hao, D. S. Citrin, C. J. Summers, and Z. P. Zhou, J. Vac. Sci. Technol. B 27, 568 (2009).
[CrossRef]

Gaillot, D. P.

Gao, D.

J. Hou, D. Gao, H. Wu, and Z. Zhou, Opt. Commun. 282, 3172 (2009).
[CrossRef]

Hao, R.

J. B. Feng, Y. Chen, J. Blair, H. Kurt, R. Hao, D. S. Citrin, C. J. Summers, and Z. P. Zhou, J. Vac. Sci. Technol. B 27, 568 (2009).
[CrossRef]

H. Kurt, R. Hao, Y. Chen, J. Feng, J. Blair, D. P. Gaillot, C. Summers, D. S. Citrin, and Z. Zhou, Opt. Lett. 33, 1614(2008).
[CrossRef] [PubMed]

Hou, J.

J. Hou, D. Gao, H. Wu, and Z. Zhou, Opt. Commun. 282, 3172 (2009).
[CrossRef]

Houdre, R.

Huang, K.

Jagerska, J.

Joannopoulos, J. D.

S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173 (2001).
[CrossRef] [PubMed]

S. G. Johnson, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, Phys. Rev. B 60, 5751 (1999).
[CrossRef]

Johnson, S. G.

S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173 (2001).
[CrossRef] [PubMed]

S. G. Johnson, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, Phys. Rev. B 60, 5751 (1999).
[CrossRef]

Kang, X.

Kawano, K.

K. Kawano and T. Kitoh, Introduction to Optical Waveguide Analysis: Solving Maxwell’s Equations and the Schrödinger Equation (Wiley, 2001).
[PubMed]

Kitoh, T.

K. Kawano and T. Kitoh, Introduction to Optical Waveguide Analysis: Solving Maxwell’s Equations and the Schrödinger Equation (Wiley, 2001).
[PubMed]

Kolodziejski, L. A.

S. G. Johnson, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, Phys. Rev. B 60, 5751 (1999).
[CrossRef]

Kurt, H.

Le Thomas, N.

Li, Y.

Lipsanen, H.

A. Saynatjoki, M. Mulot, K. Vynck, D. Cassagne, J. Ahopelto, and H. Lipsanen, Photon. Nanostr. Fundam. Appl. 6, 42 (2008).
[CrossRef]

M. Mulot, A. Saynatjoki, S. Arpiainen, H. Lipsanen, and J. Ahopelto, J. Opt. A 9, S415 (2007).
[CrossRef]

Mulot, M.

A. Saynatjoki, M. Mulot, K. Vynck, D. Cassagne, J. Ahopelto, and H. Lipsanen, Photon. Nanostr. Fundam. Appl. 6, 42 (2008).
[CrossRef]

M. Mulot, A. Saynatjoki, S. Arpiainen, H. Lipsanen, and J. Ahopelto, J. Opt. A 9, S415 (2007).
[CrossRef]

Painter, O.

Qiu, M.

M. Qiu, Appl. Phys. Lett. 81, 1163 (2002).
[CrossRef]

M. Qiu, Phys. Rev. B 66, 033103 (2002).
[CrossRef]

Saynatjoki, A.

A. Saynatjoki, M. Mulot, K. Vynck, D. Cassagne, J. Ahopelto, and H. Lipsanen, Photon. Nanostr. Fundam. Appl. 6, 42 (2008).
[CrossRef]

M. Mulot, A. Saynatjoki, S. Arpiainen, H. Lipsanen, and J. Ahopelto, J. Opt. A 9, S415 (2007).
[CrossRef]

Shi, P.

Srinivasan, K.

Summers, C.

Summers, C. J.

J. B. Feng, Y. Chen, J. Blair, H. Kurt, R. Hao, D. S. Citrin, C. J. Summers, and Z. P. Zhou, J. Vac. Sci. Technol. B 27, 568 (2009).
[CrossRef]

Ulug, B.

Villeneuve, P. R.

S. G. Johnson, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, Phys. Rev. B 60, 5751 (1999).
[CrossRef]

Vynck, K.

A. Saynatjoki, M. Mulot, K. Vynck, D. Cassagne, J. Ahopelto, and H. Lipsanen, Photon. Nanostr. Fundam. Appl. 6, 42 (2008).
[CrossRef]

Wu, H.

J. Hou, D. Gao, H. Wu, and Z. Zhou, Opt. Commun. 282, 3172 (2009).
[CrossRef]

Zabelin, V.

Zhou, Z.

Zhou, Z. P.

J. B. Feng, Y. Chen, J. Blair, H. Kurt, R. Hao, D. S. Citrin, C. J. Summers, and Z. P. Zhou, J. Vac. Sci. Technol. B 27, 568 (2009).
[CrossRef]

Appl. Phys. Lett. (1)

M. Qiu, Appl. Phys. Lett. 81, 1163 (2002).
[CrossRef]

J. Opt. A (1)

M. Mulot, A. Saynatjoki, S. Arpiainen, H. Lipsanen, and J. Ahopelto, J. Opt. A 9, S415 (2007).
[CrossRef]

J. Vac. Sci. Technol. B (1)

J. B. Feng, Y. Chen, J. Blair, H. Kurt, R. Hao, D. S. Citrin, C. J. Summers, and Z. P. Zhou, J. Vac. Sci. Technol. B 27, 568 (2009).
[CrossRef]

Opt. Commun. (1)

J. Hou, D. Gao, H. Wu, and Z. Zhou, Opt. Commun. 282, 3172 (2009).
[CrossRef]

Opt. Express (5)

Opt. Lett. (2)

Photon. Nanostr. Fundam. Appl. (1)

A. Saynatjoki, M. Mulot, K. Vynck, D. Cassagne, J. Ahopelto, and H. Lipsanen, Photon. Nanostr. Fundam. Appl. 6, 42 (2008).
[CrossRef]

Phys. Rev. B (2)

S. G. Johnson, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, Phys. Rev. B 60, 5751 (1999).
[CrossRef]

M. Qiu, Phys. Rev. B 66, 033103 (2002).
[CrossRef]

Other (1)

K. Kawano and T. Kitoh, Introduction to Optical Waveguide Analysis: Solving Maxwell’s Equations and the Schrödinger Equation (Wiley, 2001).
[PubMed]

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

Photonic band structure of an APC slab with AVF of 20% and R = 0.32 a . The labeled highest point denotes the maximum frequency in the first TE-like band, and the lowest point denotes the minimum frequency in the second TE-like band. The inset shows the schematic structure of the APC slab with thickness h and lattice constant a; the inner and outer radii of the annuli are r and R, respectively.

Fig. 2
Fig. 2

Dependence in the x z plane of the H z distributions of TE- and TM-like modes within one unit cell at various wave vectors. Field maps are sections taken through the axis of the annulus. (See Fig. 1 for coordinate axes.) The plots of H z versus x are taken along the axis of the annulus. The wave vectors for (a) and (c) are at the K-point, while the wave vectors for (b) and (d) are at the M-point.

Fig. 3
Fig. 3

Normalized PBG width of APCs, plotted as the gap-to-midgap ratio, versus the outer radius R of the annuli; the maximum value of R taken to be 0.45 a . The labels f 3 D , f 2 D E , and f 2 D denote the AVFs for the 2D APC SOI slabs, 2D air holes-in-effective-index APCs, assuming that the center wavelength is 1550 nm , and 2D air holes-in-silicon APCs, respectively. Thus, for a given curve, as R varies, so does r to preserve the specified AVF. The leftmost points of each curve have zero inner radius r; thus they also correspond to the results for conventional PCs.

Metrics