Abstract

A detailed theoretical analysis of defect engineering in a channel drop filter consisting of a single point defect near a waveguide in a two-dimensional (2-D) photonic crystal (PC) slab is presented. Initially, engineering of the point defect to control the polarization modes of emitted light is examined. By introducing an elliptical defect laterally shifted from the PC lattice,a single linearly polarized light mode can be selected to emit the majority of light, whereas light emitted from the original circular defect is made up of a range of linearly polarized modes. It is also shown that the ratio of light emitted from the top and bottom side of the defect can be improved considerably by introducing a defect with a stepped section along the vertical axis, thereby increasing the net efficiency of the device.

© 2003 IEEE

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J. Lightwave Technol. (1)

M. Imada, S. Noda, A. Chutinan, M. Mochizuki and T. Tanaka, "Channel drop filter using a single defect in a 2-D photonic crystal slab waveguide", IEEE J. Lightwave Technol., vol. 20, pp. 873-878, May 2002.

Optics Express (1)

K. Sarinivasan and O. Painter, "Momentum space design of high-Q photonic crystal optical cavities", Optics Express, vol. 10, pp. 670-684, 2002.

Other (19)

Y. Akahane, T. Asano and S. Noda, "High-Q photonic nanocavity in two-dimensional photonic crystal slabs", presented at the High-Q photonic nanocavity in two-dimensional photonic crystal slabs, (unpublished), .

Y. Tanaka, T. Asano, Y. Akahane and S. Noda, "Theoretical investigation of a two-dimensional photonic crystal slab with tapered air holes", Appl. Phys. Lett., vol. 82, no. 9, pp. 1661-1663, Mar. 2003.

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus and J. D. Joannopoulos, "Coupling of modes analysis of resonant channel add-drop filters", IEEE J. Quantum Electron., vol. 35, pp. 1322-1331, Sept. 1999.

K. S. Yee, "Numerical solution to initial boundary value problems involving Maxwell's equations in isotropic media", IEEE Trans. Antennas Propagat., vol. AP-14, pp. 302-307, May 1966.

G. Mur, "Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations", IEEE Trans. Electromagn. Compat., vol. EMC-23, pp. 377-382, Nov. 1981.

T. Asano, B. S. Song, Y. Tanaka and S. Noda, "Investigation of a channel-add/drop-filtering device using acceptor type point defects in a two-dimensional photonic crystal slab", Appl. Phys. Lett.,

E. Yablonovitch, "Photonic band-gap structures", J. Opt. Soc. Amer. B, vol. 10, pp. 283-295, 1993.

S. John, "Localization of light", Phys. Today, pp. 32-40, May 1991.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal wave guides", Phys. Rev. Lett., vol. 77, pp. 3787-3790, 1996.

S. Noda, N. Yamamoto and A. Sasaki, "New realization method for three dimensional photonic crystal waveguides", Jpn. J. Appl. Phys., vol. 35, pp. L909-L912, 1996.

J. D. Joannopoulos, P. R. Villeneuve and S. Fan, "Photonic crystals: Putting a new twist on light", Nature, vol. 386, pp. 143-149, 1997.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos and H. A. Haus, "Channel drop tunneling through localized states", Phys. Rev. Lett., vol. 80, pp. 960-963, 1998.

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz and J. Bur, "A three-dimensional photonic crystal operating at infrared wavelengths", Nature, vol. 394, pp. 251-253, 1998.

O. Painter, J. Vuckovic and A. Scherer, "Defect modes of a two-dimensional photonic crystal in an optically thin dielectric slab", J. Opt. Soc. Amer. B, vol. 16, pp. 275-285, 1999.

S. Noda, A. Chutinan and M. Imada, "Trapping and emission of photons by a single defect in a photonic bandgap structure", Nature, vol. 407, pp. 608-610, 2000.

S. Noda, K. Tomoda, N. Yamamoto and A. Chutinan, "Full three-dimensional photonic bandgap crystals at near-infrared wavelengths", Science, vol. 289, pp. 604-606, 2000.

A. Chutinan and S. Noda, "Waveguides and waveguide bends in two-dimensional photonic crystal slabs", Phys. Rev. B, vol. 62, pp. 4488 -4492, 2000.

S. Noda, M. Yokoyama, M. Imada, A. Chutinan and M. Mochizuki, "Polarization mode control of two-dimensional photonic crystal laser by unit cell structure design", Science, vol. 293, pp. 1123-1125, 2001.

A. Chutinan, M. Mochizuki, M. Imada and S. Noda, "Surface-emitting channel drop filters using single defects in two dimensional photonic crystal slabs", Appl. Phys. Lett., vol. 79, pp. 2690-2692, 2001.

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