Two-dimensional photonic crystals with large complete photonic band gaps in both TE and TM polarizations

doi:10.1364/OE.16.012278

Two-dimensional photonic crystals with large complete photonic band gaps in both TE and TM polarizations

Feng Wen, Sylvain David, Xavier Checoury, Moustafa El Kurdi, and Philippe Boucaud »View Author Affiliations

Optics Express, Vol. 16, Issue 16, pp. 12278-12289 (2008)
http://dx.doi.org/10.1364/OE.16.012278

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Abstract

Photonic crystals exhibiting a photonic band gap in both TE and TM polarizations are particularly interesting for a better control of light confinement. The simultaneous achievement of large band gaps in both polarizations requires to reduce the symmetry properties of the photonic crystal lattice. In this letter, we propose two different designs of two-dimensional photonic crystals patterned in high refractive index thin silicon slabs. These slabs are known to limit the opening of photonic band gaps for both polarizations. The proposed designs exhibit large complete photonic band gaps : the first photonic crystal structure is based on the honey-comb lattice with two different hole radii and the second structure is based on a “tri-ellipse” pattern in a triangular lattice. Photonic band gap calculations show that these structures offer large complete photonic band gaps $\frac{Δ ω}{ω}$ larger than 10 % between first and second photonic bands. This figure of merit is obtained with single-mode slab waveguides and is not restricted to modes below light cone.

OCIS Codes
(230.0230) Optical devices : Optical devices
(230.5298) Optical devices : Photonic crystals

ToC Category:
Photonic Crystals

History
Original Manuscript: April 1, 2008
Revised Manuscript: June 2, 2008
Manuscript Accepted: June 3, 2008
Published: August 1, 2008

Citation
Feng Wen, Sylvain David, Xavier Checoury, Moustafa El Kurdi, and Philippe Boucaud, "Two-dimensional photonic crystals with large complete photonic band gaps in both TE and TM polarizations," Opt. Express 16, 12278-12289 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-16-12278

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References

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R. Z. Wang, X. H. Wang, B. Y. Gu, and G. Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307-4313 (2001). [CrossRef]
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Akahane, Y.
Andreani, L. C.
Arakawa, Y.
Arita, M.
Asano, T.
Benisty, H.
Bensahel, D.
Bertho, D.
Bostan, C. G.
Boucaud, P.
Campidelli, Y.
Cassagne, D.
Cassette, S.
Checoury, X.
Combrie, S.
David, S.
de Ridder, R. M.
De Rossi, A.
Fan, S. H.
Fujita, M.
Gerace, D.
Gu, B. Y.
Hou, Z. L.
Iwamoto, S.
Joannopoulos, J. D.
Johnson, S. G.
Jouanin, C.
Kako, S.
Kermarrec, O.
Kitagawa, H.
Kitamura, M.
Kolodziejski, L. A.
Kuang, W. M.
Kuramochi, E.
Li, H.
Li, N.
Li, X.
Liu, Y. Y.
Nagle, J.
Noda, S.
Notomi, M.
Scherer, A.
Song, B. S.
Takayama, S.
Talneau, A.
Tanabe, T.
Tanaka, Y.
Taniyama, H.
Tran, N. V. Q.
Villeneuve, P. R.
Wang, R. Z.
Wang, X. H.
Weidner, E.
Xu, J.
Yang, G. Z.
Yoshie, T.
Zhang, Z.
Zhu, X.

Appl. Phys. Lett.

E. Weidner, S. Combrie, N. V. Q. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, "Achievement of ultrahigh quality factors in GaAs photonic crystal membrane nanocavity," Appl. Phys. Lett. 89, 221104 (2006). [CrossRef]
Z. Zhang, T. Yoshie, X. Zhu, J. Xu, and A. Scherer, "Visible two-dimensional photonic crystal slab laser," Appl. Phys. Lett. 89, 071102 (2006). [CrossRef]
S. David, M. El kurdi, P. Boucaud, A. Chelnokov, V. Le Thanh, D. Bouchier, and J. M. Lourtioz, "Twodimensional photonic crystals with Ge/Si self-assembled islands," Appl. Phys. Lett. 83, 2509-2511 (2003). [CrossRef]
Y. Tanaka, T. Asano, Y. Akahane, B. S. Song, and S. Noda, "Theoretical investigation of a two-dimensional photonic crystal slab with truncated cone air holes," Appl. Phys. Lett. 82, 1661-1663 (2003). [CrossRef]
S. Takayama, H. Kitagawa, Y. Tanaka, T. Asano, and S. Noda, "Experimental demonstration of complete photonic band gap in two-dimensional photonic crystal slabs," Appl. Phys. Lett. 87, 061107 (2005). [CrossRef]

In Solid State Physics

N. Li, M. Arita, S. Kako, M. Kitamura, S. Iwamoto, and Y. Arakawa, "Fabrication and optical characterization of III-nitride air-bridge photonic crystal with GaN quantum dots," Phys. Status Solidi C - Current TopicsIn Solid State Physics 4, 90-94 (2007).

J. Appl. Phys.

R. Z. Wang, X. H. Wang, B. Y. Gu, and G. Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307-4313 (2001). [CrossRef]
X. Li, P. Boucaud, X. Checoury, O. Kermarrec, Y. Campidelli, and D. Bensahel, "Probing photonic crystals on silicon-on-insulator with Ge/Si self-assembled islands as an internal source," J. Appl. Phys. 99, 023103 (2006). [CrossRef]

J. Opt. A-Pure Appl. Opt.

W. M. Kuang, Z. L. Hou, Y. Y. Liu, and H. Li, "The bandgap of a photonic crystal with triangular dielectric rods in a honeycomb lattice," J. Opt. A-Pure Appl. Opt. 7, 525-528 (2005). [CrossRef]

J. Optoelectron. Adv. Mat.

C. G. Bostan and R. M. de Ridder, "Design of photonic crystal slab structures with absolute gaps in guided modes," J. Optoelectron. Adv. Mat. 4, 921-928 (2002).

Nature

Y. Akahane, T. Asano, B. S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944-947 (2003). [CrossRef] [PubMed]

Nature Photonics

S. Noda, M. Fujita, and T. Asano, "Spontaneous-emission control by photonic crystals and nanocavities," Nature Photonics 1, 449-458 (2007). [CrossRef]

Opt. Express

T. Tanabe, M. Notomi, E. Kuramochi, and H. Taniyama, "Large pulse delay and small group velocity achieved using ultrahigh-Q photonic crystal nanocavities," Opt. Express 15, 7826-7839 (2007). [CrossRef] [PubMed]

Phys. Rev. B

S. G. Johnson, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999). [CrossRef]
D. Cassagne, C. Jouanin, and D. Bertho, "Hexagonal photonic-band-gap structures," Phys. Rev. B 53, 7134-7142 (1996). [CrossRef]
L. C. Andreani and D. Gerace, "Photonic-crystal slabs with a triangular lattice of triangular holes investigated using a guided-mode expansion method," Phys. Rev. B 73, 235114 (2006). [CrossRef]

Other

K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2005).

2007, Noda, Nature Photonics
2007, Tanabe, Opt. Express
2007, Li, In Solid State Physics
2006, Zhang, Appl. Phys. Lett.
2006, Weidner, Appl. Phys. Lett.
2006, Li, J. Appl. Phys.
2006, Andreani, Phys. Rev. B
2005, Takayama, Appl. Phys. Lett.
2005, Kuang, J. Opt. A-Pure Appl. Opt.
2003, David, Appl. Phys. Lett.
2003, Akahane, Nature
2003, Tanaka, Appl. Phys. Lett.
2002, Bostan, J. Optoelectron. Adv. Mat.
2001, Wang, J. Appl. Phys.
1999, Johnson, Phys. Rev. B
1996, Cassagne, Phys. Rev. B

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