Abstract

We systematically investigate and compare general methods of designing single mode photonic crystal waveguides in a two-dimensional hexagonal lattice of air holes in a dielectric material. We apply the rather general methods to dielectric-core hexagonal lattice photonic crystals since they have not been widely explored before. We show that it is possible to obtain single mode guiding in a limited portion of the photonic bandgap of hexagonal lattice structures. We also compare the potentials of different photonic crystal lattices for designing single-mode waveguides and conclude that triangular lattice structures are the best choice.

© 2003 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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  16. A. Taflov and S. C. Hagness, Computaional electrodynamics: The finite-difference time-domain method, (Artech House, 2000).

Appl. Phys. Lett. (1)

M. Tokushima, H. Kosaka, A. Tomita, and H. Yamada, ???Lightwave propagation through a 120 degrees sharply bent single-line-defect photonic crystal waveguide,??? Appl. Phys. Lett. 76, 952-954 (2000).
[CrossRef]

Electron. Lett. (2)

T. Baba, N. Fukaya, and J. Yonekura, ???Observation of light propagation in photonic crystal optical waveguides with bends,??? Electron. Lett. 35, 654-655 (1999).
[CrossRef]

A. Adibi, R. K. Lee, Y. Xu, A. Yariv, and A. Scherer, ???Design of photonic crystal optical waveguides with singlemode propagation in the photonic bandgap,??? Electron. Lett. 36, 1376-1378 (2000).
[CrossRef]

IEEE Trans. Antennas Propag. (1)

K. S. Yee, ???Numerical solution of initial boundary value problems involving Maxwell???s equations in isotropic media,??? IEEE Trans. Antennas Propag. AP-14, 302-307 (1966).
[CrossRef]

J. Comput. Phys. (1)

J. P. Brenger, ???A perfectly matched layer for the absorption of electromagnetic???waves,??? J. Comput. Phys. 114, 185-200 (1994).
[CrossRef]

J. Lightwave Technol. (1)

Phys. Rev. B (4)

C. T. Chan, Q. L. Yu, and K. M. Ho, ???Order-N spectral method for electromagnetic-waves,??? Phys. Rev. B 51, 16635-16642 (1995).
[CrossRef]

A. Adibi, Y. Xu, R. K. Lee, A. Yariv, and A. Scherer, ???Guiding mechanism in dielectric-core crystal optical waveguides,??? Phys. Rev. B 64, 033308 (1-4) (2001).
[CrossRef]

A. Adibi, Y. Xu, R. K. Lee, M. Loncar, A. Yariv, and A. Scherer, ???Role of distributed Bragg reflection in photonic-crystal optical waveguides,??? Phys. Rev. B 64, 041102 (1-4) (2001).
[CrossRef]

D. Cassagne, C. Jouanin, and D. Bertho, ???Hexagonal photonic-band-gap structures,??? Phys. Rev. B 53, 7134-7142 (1996).
[CrossRef]

Phys. Rev. Lett. (3)

E. Yablonovitch, ???Inhibited spontaneous emission in solid state physics and electronics,??? Phys. Rev. Lett. 58, 2059-2062 (1987)
[CrossRef]

S. John, ???Strong localization of photons in certain disordered dielectric superlattices,??? Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, ???High transmission through sharp bends in photonic crystal waveguides,??? Phys. Rev. Lett. 77, 3787-3790 (1996).
[CrossRef]

Physics Rev. B (1)

D. Cassagne, C. Jouanin, and D. Bertho, ???Photonic band gaps in a two-dimensional graphite structure,???Physics Rev. B 52, R2217-R2220 (1995).

Science (1)

S. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, ???Experimental demonstration of guiding and bending electromagnetic waves in a photonic crystal,??? Science 282, 274-276 (1998).
[CrossRef]

Other (1)

A. Taflov and S. C. Hagness, Computaional electrodynamics: The finite-difference time-domain method, (Artech House, 2000).

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