dc.relation.reference | [1] E. M. Purcell, “Spontaneous emission probability at radio frequencies,” Physical Review, vol. 69, pp. 681 (1946).
[2] K. Ohtaka, “Energy band of photons and low-energy photon diffraction,” Physical Review B, vol. 19, pp. 5057-5067 (1979).
[3] E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Physical Review Letters, vol. 58, pp. 2059-2062 (1987).
[4] S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Physical Review Letters, vol. 58, pp. 2486-2489 (1987).
[5] E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Donor and acceptor modes in photonic band structure,” Physical Review Letters, vol. 67, pp. 3380-3383 (1991).
[6] S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Guided modes in photonic crystal slabs,” Physical Review B, vol. 60, pp. 5751-5758 (1999).
[7] O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, “Two-dimensional photonic band-gap defect mode laser,” Science, vol. 284, pp.1819-1821 (1999).
[8] S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and E. F. Scherer, “High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals,” Physical Review Letters, vol. 78, pp. 3294-3297 (1997).
[9] Aurélien David, Tetsuo Fujii, Brendan Moran, Shuji Nakamura, Steven P. DenBaars, and Claude Weisbuch, “Photonic crystal laser lift-off GaN light-emitting diodes,” Applied Physics Letters, vol. 88, 133514 (2006).
[10] M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, Jeff F. Young, S. R. Johnson, Jim MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Applied Physics Letters, vol. 70, pp. 1438-1440 (1997).
[11] M. L. Povinelli, Steven G. Johnson, Shanhui Fan, and J. D. Joannopoulos, “Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap,” Physical Review B, vol. 64, 075313 (2001).
[12] E. Yablonovitch, T. J. Gmitter, and K. M. Leung, “Photonic band structure: The face-centered-cubic case employing nonspherical atoms,” Physical Review Letters, vol. 67, pp. 2295-2298 (1991).
[13] J. D. Joannopoulos, R. D. Mead, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton (1995).
[14] K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and R. Sigalas, “Photonic band gaps in three dimensions: New layer-by-layer periodic structures,” Solid State Communications, vol. 89, pp. 413-416 (1994).
[15] E. Özbay, A. Abeyta, G. Tuttle, M. Tringides, R. Biswas, C. M. Soukoulis, C. T. Chan, and K. M. Ho, “Measurement of Three-Dimensional Band Gap in New Crystal Structure Made of Dielectric Rods,” Physical Review B, vol. 50, pp. 1945-1948 (1994).
[16] S. G. Johnson and J. D. Joannopoulos, “Three-dimensional periodic dielectric layered structure with omnidirectional photonic band gap,” Applied Physics Letters, vol. 77, pp. 3490-3492 (2000).
[17] B. T. Holland, C. F. Blanford, and A. Stein, “Synthesis of Macroporous Minerals with Highly Ordered Three-Dimensional Arrays of Spheroidal Voids,” Science, vol. 281, pp. 538-540 (1998).
[18] J. E. G. J. Wijnhoven and W. L. Vos, “Preparation of Photonic Crystals Made of Air Spheres in Titania,” Science, vol. 281, pp. 802-804 (1998).
[19] F. Romanato, R. Kumar, E. Di Fabrizio, “Interface lithography: a hybrid lithographic approach for the fabrication of patterns embedded in three-dimensional structures,” Nanotechnology, vol. 16, pp. 40-46 (2005).
[20] E. Lidorikis, M. L. Povinelli, S.G. Johnson, and J. D. Joannopoulos, “Polarization-Independent Linear Waveguides in 3D Photonic Crystals,” Physical Review Letters, vol. 91, 023902 (2003).
[21] Minghao Qi, Elefterios Lidorikis, Peter T. Rakich, Steven G. Johnson, J. D. Joannopoulos, Erich P. Ippen and Henry I. Smith, “A three-dimensional optical photonic crystal with designed point defects,” Nature, vol. 429, pp. 538-542 (2004).
[22] S. Noda, N. Yamamoto, and A. Sasaki, “New realization method for three-dimensional photonic crystal in optical wavelength region,” Japeness Journal of Applied Phyics, Part2 vol. 35, pp. L909-L912 (1996).
[23] N. Yamamoto, S. Noda and A. Chutinan, “Development of one period of a three-dimensional photonic crystal in the 5-10μm wavelength region by wafer fusion and laser beam diffraction pattern observation techniques,” Japeness Journal of Applied Phyics, Part2 vol. 37, pp. L1052-L1054 (1998).
[24] Zhi-Yuan Li and Kai-Ming Ho, “Waveguides in three-dimensional layer-by-layer photonic crystals,” Journal of Optical Society America B, vol. 20, pp. 801- 809 (2003).
[25] Mehmet Bayindir, E. Özbay, B. Temelkuran, M. M. Sigalas, C. M. Soukoulis, R. Biswas, and K. M. Ho, “Guiding, bending, and splitting of electromagnetic waves in highly confined photonic crystal waveguides,” Physical Review B, vol. 63, 081107 (2001).
[26] Mehmet Bayindir, E. Özbay, “Dropping of electromagnetic waves through localized modes in three-dimensional photonic band gap structures,” Applied Physics Letters, vol. 81, pp. 4514-4516 (2002).
[27] S. Noda, M. Imada, M. Okano, S. Ogawa, M. Mochizuki, and A. Chutinan, “Semiconductor three-dimensional and two-dimensional photonic crystals and devices,” IEEE Journal of Quantum Electronics, vol. 38, pp. 726-735 (2002).
[28] S. Ogawa, M. Imada, S. Yoshimoto, M. Okano, S. Noda, “Control pf light emission by 3D photonic crystals,” Science, vol. 305, pp. 227-229 (2004).
[29] K. M. Leung and Y. F. Liu, “Full vector wave calculation of photonic band structures in face-centered-cubic dielectric media,” Physical Review Letters, vol. 65, pp. 2646-2649 (1990).
[30] K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Physical Review Letters, vol. 65, pp. 3152-3155 (1990).
[31] K. Sokoda, “Symmetry, degeneracy, and uncoupled modes in two-dimensional photonic lattices,” Physical Review B, vol. 52, pp. 7982-7986 (1995).
[32] N. Vats, S John, and K. Busch, “Theory of fluorescence in photonic crystals,” Physical Review A, vol. 65, 043808 (2002).
[33] J. E. Sipe, “Vector k•p approach for photonic band structures,” Physical Review E, vol. 62, pp. 5672-5677 (2000).
[34] Yee, K. S., “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Transaction Antannas and Propagation, vol. 14, pp. 302-307 (1966).
[35] 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,” Physical Review Letters, vol. 77, pp. 3787-3790 (1996).
[36] G. Tayeb and D. Maystre, “Scattering by a random set of parallel cylinders,” Journal of Optical Society America A, vol. 11, pp. 2526-2538 (1997).
[37] R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, “Accurate theoretical analysis of photonic band-gap materials,” Physical Review B, vol. 48, pp. 8434-8437 (1993).
[38] François Delyon, Michel Duneau, “Computation of eigenmodes of photonic crystals by inversion of the Maxwell operator,” Journal of Computational Physics, vol. 207, pp. 375-387 (2005).
[39] E. R. Davidson, “The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices,” Computational Physics, vol. 17, pp. 87-94 (1975).
[40] G. L. G. Sleijpen and H. A. van der Vorst, “A Jacobi-Davidson Method,” SIAM Journal on Scientific Computing, vol. 15, pp. 62-76 (1994).
[41] S. G. Johnson and J. D. Joannopoulos, “Block−iterative frequency−domain methods for Maxwell's equations in a planewave basis,” Optics Express, vol. 8, pp. 173-190 (2001).
[42] S. G. Johnson and J. D. Joannopoulos, The MIT Photonic-Bands Package, http://ab-initio.mit.edu/mpb/
[43] C. Guiffaut, K. Mahdjoubi, “A parallel FDTD algorithm using the MPI library,” IEEE Atennas and Propagation Magazine, vol. 43, pp. 94-103 (2001).
[44] N. W. Ashcroft and N. D. Mermin, Solid State Physics, Holt Saunders, Philadelphia (1976).
[45] K. Ohtaka and Y. Tanabe, “Photonic band using vector spherical waves. I. various properties of Bloch electric fields and heavy Photons,”Journal of Physical Society of Japan, vol. 65, pp. 2265-2275 (1996)
[46] J. Jin, The Finite-Element Method in Electromagnetics, Wiley, New York, Chap. 5, 7 (1993).
[47] P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization, Academic, London (1981).
[48] J. J. More and D. J. Thuente, “Line search algorithms with guaranteed sufficient decrease,” ACM Transaction Math. Software, vol. 20, pp. 286-307 (1994).
[49] A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, Boston and London (2000).
[50] G. Mur, “Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic field equations,” IEEE Transaction Electromagnetic Compatibility, vol. 23, pp. 377-382 (1981).
[51] J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” Journal of Computational Physics, vol. 114, pp. 185-200 (1994).
[52] Y-C. Kao and R. G. Atkins, “A finite-difference time-domain approach for frequency selective surfaces at oblique incidence,” Proceedings of the 1996 IEEE Antennas and Propagation Society International Symposium, Baltimore, MD, pp. 1432-1435 (1996).
[53] J. A. Roden, S. D. Gedney, M. P. Kesler, J. G. Maloney, P. H. Harms, “Time-domain analysis of periodic structures at oblique incidence: Orthogonal and nonorthogonal FDTD implementation,” IEEE transaction Microwave Theory and Techniques, vol. 46, pp. 420-427 (1998).
[54] Peter S. Pacheco, Parallel Programming with MPI, Morgan Kaufmann Publishers, San Francisco (1997).
[55] Michael J. Quinn, Parallel Programming in C with MPI and OpenMP, McGraw-Hill, New York (2004).
[56] E. Istrate and E. H. Sargent, “Photonic crystal heterostructures ─ resonant tunnelling, waveguides and filters,” Journal of Optics A: Pure and Applied Optics, vol. 4, pp. S242-S246 (2002).
[57] M. Iida, M. Tani, K. Sakai, M. Watanabe, H. Kitahara, T. Tohme, and M. W. Takeda, “Planar Defect Modes Excited at the Band Edge of Three-dimensional Photonic Crystals,” Journal of Physical Society of Japan, vol. 73, pp. 2355-2357 (2004).
[58] David J. Griffiths, “Introduction to Electrodynamics,” 3rd edition, Prentice-Hall, New Jersey (1999).
[59] T. Janssen, Crystallographic groups, North-Holland, Amsterdam (1973).
[60] P. Kopperschmidt, “Tetragonal photonic woodpile structures,” Applied Physics B, vol. 76, pp. 729-734 (2003).
[61] Sakurai, J. J., Advanced Quantum Mechanics, Addision-Wesley, London (1982).
[62] Jackson J. D., Classical Electrodynamics, Wiley, New York (1975).
[63] Y. Xu, J. S. Vučković, R. K. Lee, O. J. Painter, A. Scherer, and A. Yariv, “Finite-difference time-domain calculation of spontaneous emission lifetime in a microcavity,” Journal of Optical Society of America, vol. 16, pp. 465-474 (1999).
[64] R. J. Glauber and M. L. Lewenstein, “Quantum optics of dielectric media,” Physical Review A, vol. 43, pp. 467-491 (1991).
[65] T. Suzuki and Paul K. L. Yu, “Emission power of an electric dipole in the photonic band structure of the fcc lattice,” Journal of Optical Society of America, vol. 12, pp. 570-582 (1995).
[66] L. Catarinucci, P. Palazzari, L. Tarricone, “A parallel variable-mesh FDTD algorithm for the solution of large electromagnetic problems,” Proceedings of the 19th IEEE International Parallel and Distributed Processing Symposium (2005).
[67] E. A. Hinds, Cavity Quantum Electrodynamics, edited by P. R. Berman, Academic, New York (1994).
[68] J. K. Hwang, H. Y. Ryu, and Y. H. Lee, “Spontaneous emission rate of an electric dipole in a general microcavity,” Physical Review B, vol. 60, pp. 4688-4695 (1999).
[69] Hermamn A. Haus, Waves and Fields in Optoelectronics, Chap. 3, Prentice-Hall, New Jersey (1984).
[70] K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nature, vol. 2, pp. 117-121 (2003).
[71] J. Hama and M. Watanabe, “General formulae for the special points and their weighting factors in k-space integration,” Journal of Physics: Condensed Matter, vol. 4, pp. 4583-4594 (1992).
[72] Peter. E. Blöchl, O. Jepsen, and O. K. Andersen, “Improved tetrahedron method for Brillouin-zone integrations,” Physical Review B, vol. 49, pp. 16223-16233 (1994). | en |