Abstract
We review basic physics of photonic crystals, discuss the relevant fabrication techniques, and summarize important device development in the past two decades. First, photonic band structures of photonic crystals and the origin of the photonic band gap are analyzed. Fundamental photonic crystal structures, such as surfaces, slabs, and engineered defects that include cavities and waveguides, are examined. Applications at visible and infrared wavelengths require photonic crystals to have submicron features, sometimes with precision down to the nanoscale. Common fabrication methods that have helped make such exquisite structures will be reviewed. Lastly, we give a concise account of key advances in photonic crystal-based lasers, light-emitting devices, modulators, optical filters, superprism-based demultiplexers and sensors, and negative index materials. Electron-beam nanolithography has enabled major research progress on photonic crystal devices in the last decade, leading to significant reduction of size and/or power dissipation in devices such as lasers and modulators. With deep ultraviolet (DUV) lithography, these devices may one day be manufactured with the prevalent CMOS technology at affordable cost.
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References
E. Yablonovitch, Inhibited spontaneous emission in solid-state physics and electronics, Phys. Rev. Lett. 58, 2059–2062 (1987).
S. John, Strong localization of photons in certain disordered dielectric superlattices, Phys. Rev. Lett. 58, 2486–2489 (1987).
W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe and J. D. Joannopoulos, Measurement of photonic band-structure in a 2-dimensional periodic dielectric array, Phys. Rev. Lett. 68, 2023–2026 (1992).
D. F. Sievenpiper, M. E. Sickmiller and E. Yablonovitch, 3D wire mesh photonic crystals, Phys. Rev. Lett. 76, 2480–2483 (1996).
J. D. Joannopoulos, R. D. Meade and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).
S. G. Johnson and J. D. Joannopoulos, Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis, Opt. Express 8, 173–190 (2001).
K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas and M. Sigalas, Photonic band-gaps in 3-dimensions - new layer-by-layer periodic structures, Solid State Commun. 89, 413–416 (1994).
S. G. Johnson and J. D. Joannopoulos, Three-dimensionally periodic dielectric layered structure with omnidirectional photonic band gap, Appl. Phys. Lett. 77, 3490–3492 (2000).
M. L. Povinelli, S. G. Johnson, S. H. Fan and J. D. Joannopoulos, Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap, Phys. Rev. B 64, 075313 (2001).
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).
S. G. Johnson, P. R. Villeneuve, S. H. Fan and J. D. Joannopoulos, Linear waveguides in photonic-crystal slabs, Phys. Rev. B 62, 8212–8222 (2000).
W. T. Lau and S. H. Fan, Creating large bandwidth line defects by embedding dielectric waveguides into photonic crystal slabs, Appl. Phys. Lett. 81, 3915–3917 (2002).
M. L. Povinelli, S. G. Johnson, E. Lidorikis, J. D. Joannopoulos and M. Soljacic, Effect of a photonic band gap on scattering from waveguide disorder, Appl. Phys. Lett. 84, 3639–3641 (2004).
S. G. Johnson, M. L. Povinelli, M. Soljacic, A. Karalis, S. Jacobs and J. D. Joannopoulos, Roughness losses and volume-current methods in photonic-crystal waveguides, Appl. Phys. B-Lasers Opt. 81, 283–293 (2005).
N. Stefanou and A. Modinos, Impurity bands in photonic insulators, Phys. Rev. B 57, 12127–12133 (1998).
A. Yariv, Y. Xu, R. K. Lee and A. Scherer, Coupled-resonator optical waveguide: a proposal and analysis, Opt. Lett. 24, 711–713 (1999).
T. Baba, N. Fukaya and A. Motegi, Clear correspondence between theoretical and experimental light propagation characteristics in photonic crystal waveguides, Electron. Lett. 37, 761–762 (2001).
M. Notomi, A. Shinya, S. Mitsugi, E. Kuramochi and H. Y. Ryu, Waveguides, resonators and their coupled elements in photonic crystal slabs, Opt. Express 12, 1551–1561 (2004).
K. S. Kunz and R. J. Luebbers, The Finite-Difference Time-Domain Method for Electromagnetics (CRC Press, Boca Raton, 1993).
A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Norwood, 2005).
S. Y. Shi, C. H. Chen and D. W. Prather, Revised plane wave method for dispersive material and its application to band structure calculations of photonic crystal slabs, Appl. Phys. Lett. 86, 043104 (2005).
M. Qiu, Effective index method for heterostructure-slab-waveguide-based two-dimensional photonic crystals, Appl. Phys. Lett. 81, 1163–1165 (2002).
P. R. Villeneuve, S. Fan, S. G. Johnson and J. D. Joannopoulos, Three-dimensional photon confinement in photonic crystals of low-dimensional periodicity, IEE Proceedings–Optoelectronics 145, 384–390 (1998).
S. G. Johnson, S. Fan, A. Mekis and J. D. Joannopoulos, Multipole-cancellation mechanism for high-Q cavities in the absence of a complete photonic band gap, Appl. Phys. Lett. 78, 3388–3390 (2001).
J. Vuckovic, M. Loncar, H. Mabuchi and A. Scherer, Optimization of the Q factor in photonic crystal microcavities, IEEE J. Quantum Electron. 38, 850–856 (2002).
K. Srinivasan and O. Painter, Momentum space design of high-Q photonic crystal optical cavities, Opt. Express 10, 670–684 (2002).
H. Y. Ryu, M. Notomi and Y. H. Lee, High-quality-factor and small-mode-volume hexapole modes in photonic-crystal-slab nanocavities, Appl. Phys. Lett. 83, 4294–4296 (2003).
B. S. Song, S. Noda, T. Asano and Y. Akahane, Ultra-high-Q photonic double-heterostructure nanocavity, Nat. Mater. 4, 207–210 (2005).
E. Kuramochi, M. Notomi, S. Mitsugi, A. Shinya, T. Tanabe and T. Watanabe, Ultrahigh-Q photonic crystal nanocavities realized by the local width modulation of a line defect, Appl. Phys. Lett. 88, 041112 (2006).
T. Asano, B. S. Song, Y. Akahane and S. Noda, Ultrahigh-Q nanocavities in two-dimensional photonic crystal slabs, IEEE J. Sel. Top. Quantum Electron. 12, 1123–1134 (2006).
T. Tanabe, M. Notomi, E. Kuramochi, A. Shinya and H. Taniyama, Trapping and delaying photons for one nanosecond in an ultrasmall high-Q photonic-crystal nanocavity, Nat. Photonics 1, 49–52 (2007).
W. Jiang, R. T. Chen and X. J. Lu, Theory of light refraction at the surface of a photonic crystal, Phys. Rev. B 71, 245115 (2005).
R. D. Meade, K. D. Brommer, A. M. Rappe and J. D. Joannopoulos, Electromagnetic bloch waves at the surface of a photonic crystal, Phys. Rev. B 44, 10961–10964 (1991).7
Z. Y. Li and K. M. Ho, Light propagation in semi-infinite photonic crystals and related waveguide structures, Phys. Rev. B 68, 155101 (2003).
T. Ochiai and J. Sanchez-Dehesa, Superprism effect in opal-based photonic crystals, Phys. Rev. B 64, 245113 (2001).
X. N. Chen, W. Jiang, J. Q. Chen and R. T. Chen, Theoretical study of light refraction in three -dimensional photonic crystals, J. Lightwave Technol. 25, 2469–2474 (2007).
J. B. Pendry and A. Mackinnon, Calculation of photon dispersion-relations, Phys. Rev. Lett. 69, 2772–2775 (1992).
K. Ohtaka, T. Ueta and K. Amemiya, Calculation of photonic bands using vector cylindrical waves and reflectivity of light for an array of dielectric rods, Phys. Rev. B 57, 2550–2568 (1998).
N. Stefanou, V. Karathanos and A. Modinos, Scattering of electromagnetic-waves by periodic structures, J. Phys.-Condes. Matter 4, 7389–7400 (1992).
J. Bravo-Abad, T. Ochiai and J. Sanchez-Dehesa, Anomalous refractive properties of a two-dimensional photonic band-gap prism, Phys. Rev. B 67, 115116 (2003).
K. Sakoda, Symmetry, degeneracy, and uncoupled modes in 2-dimensional photonic lattices, Phys. Rev. B 52, 7982–7986 (1995).
K. Sakoda, Transmittance and bragg reflectivity of 2-dimensional photonic lattices, Phys. Rev. B 52, 8992–9002 (1995).
P. Bienstman and R. Baets, Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers, Opt. Quantum Electron. 33, 327–341 (2001).
W. Jiang and R. T. Chen, Rigorous analysis of diffraction gratings of arbitrary profiles using virtual photonic crystals, J. Opt. Soc. Am. A-Opt. Image Sci. Vis. 23, 2192–2197 (2006).
M. G. Moharam and T. K. Gaylord, Diffraction analysis of dielectric surface-relief gratings, J. Opt. Soc. Am. 72, 1385–1392 (1982).
T. Baba and M. Nakamura, Photonic crystal light deflection devices using the superprism effect, IEEE J. Quantum Electron. 38, 909–914 (2002).
E. Yablonovitch, T. J. Gmitter and K. M. Leung, Photonic band-structure - the face-centered-cubic case employing nonspherical atoms, Phys. Rev. Lett. 67, 2295–2298 (1991).
T. F. Krauss, R. M. Delarue and S. Brand, Two-dimensional photonic-bandgap structures operating at near infrared wavelengths, Nature 383, 699–702 (1996).
D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, R. M. Delarue, V. Bardinal, R. Houdre, U. Oesterle, D. Cassagne and C. Jouanin, Quantitative measurement of transmission, reflection, and diffraction of two-dimensional photonic band gap structures at near-infrared wavelengths, Phys. Rev. Lett. 79, 4147–4150 (1997).
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 394, 251–253 (1998).
M. J. Escuti and G. P. Crawford, Holographic photonic crystals, Opt. Eng. 43, 1973–1987 (2004).
L. J. Wu, Y. C. Zhong, C. T. Chan, K. S. Wong and G. P. Wang, Fabrication of large area two- and three-dimensional polymer photonic crystals using single refracting prism holographic lithography, Appl. Phys. Lett. 86, 241102 (2005).
J. Q. Chen, W. Jiang, X. N. Chen, L. Wang, S. S. Zhang and R. T. Chen, Holographic three-dimensional polymeric photonic crystals operating in the 1550 nm window, Appl. Phys. Lett. 90, 93102 (2007).
J. Koch, F. Korte, C. Fallnich, A. Ostendorf and B. N. Chichkov, Direct-write subwavelength structuring with femtosecond laser pulses, Opt. Eng. 44, 051103-5 (2005).
J. Serbin and M. Gu, Experimental evidence for superprism effects in three-dimensional polymer photonic crystals, Adv. Mater. 18, 221–224 (2006).
J. Serbin and M. Gu, Superprism phenomena in waveguide-coupled woodpile structures fabricated by two-photon polymerization, Opt. Express 14, 3563–3568 (2006).
A. Imhof and D. J. Pine, Ordered macroporous materials by emulsion templating, Nature 389, 948–951 (1997).
O. D. Velev, P. M. Tessier, A. M. Lenhoff and E. W. Kaler, Materials – A class of porous metallic nanostructures, Nature 401, 548–548 (1999).
A. Imhof, W. L. Vos, R. Sprik and A. Lagendijk, Large dispersive effects near the band edges of photonic crystals, Phys. Rev. Lett. 83, 2942–2945 (1999).
Y. A. Vlasov, X. Z. Bo, J. C. Sturm and D. J. Norris, On-chip natural assembly of silicon photonic bandgap crystals, Nature 414, 289–293 (2001).
Z. L. Wang, C. T. Chan, W. Y. Zhang, N. B. Ming and P. Sheng, Three-dimensional self-assembly of metal nanoparticles: Possible photonic crystal with a complete gap below the plasma frequency, Phys. Rev. B 64, 113108 (2001).
O. D. Velev and E. W. Kaler, Structured porous materials via colloidal crystal templating: From inorganic oxides to metals, Adv. Mater. 12, 531–534 (2000).
M. Diop and R. A. Lessard, Fabrication techniques of high quality photonic crystals, Optical Interconnects and VLSI Photonics, 2004 Digest of the LEOS Summer Topical Meetings, pp. 79–80 (2004).
J. F. Bertone, P. Jiang, K. S. Hwang, D. M. Mittleman and V. L. Colvin, Thickness dependence of the optical properties of ordered silica-air and air-polymer photonic crystals, Phys. Rev. Lett. 83, 300–303 (1999).
L. Wang, W. Jiang, X. Chen, L. Gu, J. Chen and R. T. Chen, Fabrication of polymer photonic crystal superprism structures using polydimethylsiloxane soft molds, J. Appl. Phys. 101, 114316-6 (2007).
M. H. Qi, E. Lidorikis, P. T. Rakich, S. G. Johnson, J. D. Joannopoulos, E. P. Ippen and H. I. Smith, A three-dimensional optical photonic crystal with designed point defects, Nature 429, 538–542 (2004).
F. Garcia-Santamaria, M. J. Xu, V. Lousse, S. H. Fan, P. V. Braun and J. A. Lewis, A germanium inverse woodpile structure with a large photonic band gap, Adv. Mater. 19, 1567–1570 (2007).
S. Kawakami, Fabrication of submicrometre 3D periodic structures composed of Si/Si Osub 2., Electron. Lett. 33, 1260–1261 (1997).
S. Noda, K. Tomoda, N. Yamamoto and A. Chutinan, Full three-dimensional photonic bandgap crystals at near-infrared wavelengths, Science 289, 604–606 (2000).
M. Settle, M. Salib, A. Michaeli and T. F. Krauss, Low loss silicon on insulator photonic crystal waveguides made by 193 nm optical lithography, Opt. Express 14, 2440–2445 (2006).
M. H. Shih, W. J. Kim, W. Kuang, J. R. Cao, H. Yukawa, S. J. Choi, J. D. O'brien, P. D. Dapkus and W. K. Marshall, Two-dimensional photonic crystal Mach–Zehnder interferometers, Appl. Phys. Lett. 84, 460–462 (2004).
H. G. Park, S. H. Kim, S. H. Kwon, Y. G. Ju, J. K. Yang, J. H. Baek, S. B. Kim and Y. H. Lee, Electrically driven single-cell photonic crystal laser, Science 305, 1444–1447 (2004).
E. Purcell, Spontaneous emission probabilities at radio frequencies, Phys. Rev. 69, 681 (1946).
J. M. Gerard and B. Gayral, Strong Purcell effect for InAs quantum boxes in three-dimensional solid-state microcavities, J. Lightwave Technol. 17, 2089–2095 (1999).
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 284, 1819–1821 (1999).
H. Altug, D. Englund and J. Vuckovic, Ultrafast photonic crystal nanocavity laser, Nat. Phys. 2, 484–488 (2006).
S. P. Ogawa, M. Imada, S. Yoshimoto, M. Okano and S. Noda, Control of light emission by 3D photonic crystals, Science 305, 227–229 (2004).
W. D. Zhou, J. Sabarinathan, B. Kochman, E. Berg, O. Qasaimeh, S. Pang and P. Bhattacharya, Electrically injected single-defect photon bandgap surface-emitting laser at room temperature, Electron. Lett. 36, 1541–1542 (2000).
W. D. Zhou, J. Sabarinathan, P. Bhattacharya, B. Kochman, E. W. Berg, P. C. Yu and S. W. Pang, Characteristics of a photonic bandgap single defect microcavity electroluminescent device, IEEE J. Quantum Electron. 37, 1153–1160 (2001).
H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, Y. H. Lee and J. S. Kim, Nondegenerate monopole-mode two-dimensional photonic band gap laser, Appl. Phys. Lett. 79, 3032–3034 (2001).
K. Sakoda, Optical Properties of Photonic Crystals (Springer, Berlin, 2001).
A. Mekis, M. Meier, A. Dodabalapur, R. E. Slusher and J. D. Joannopoulos, Lasing mechanism in two-dimensional photonic crystal lasers, Appl. Phys. A 69, 111–114 (1999).
J. P. Dowling, M. Scalora, M. J. Bloemer and C. M. Bowden, The Photonic band-edge laser – a new approach to gain enhancement, J. Appl. Phys. 75, 1896–1899 (1994).
M. Boroditsky, T. F. Krauss, R. Coccioli, R. Vrijen, R. Bhat and E. Yablonovitch, Light extraction from optically pumped light-emitting diode by thin-slab photonic crystals, Appl. Phys. Lett. 75, 1036–1038 (1999).
S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos and E. F. Schubert, High extraction efficiency of spontaneous emission from slabs of photonic crystals, Phys. Rev. Lett. 78, 3294–3297 (1997).
A. A. Erchak, D. J. Ripin, S. Fan, P. Rakich, J. D. Joannopoulos, E. P. Ippen, G. S. Petrich and L. A. Kolodziejski, Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode, Appl. Phys. Lett. 78, 563–565 (2001).
H. Ichikawa and T. Baba, Efficiency enhancement in a light-emitting diode with a two-dimensional surface grating photonic crystal, Appl. Phys. Lett. 84, 457–459 (2004).
A. J. Danner, J. J. Raftery, P. O. Leisher and K. D. Choquette, Single mode photonic crystal vertical cavity lasers, Appl. Phys. Lett. 88, 091114 (2006).
S. H. Fan, P. R. Villeneuve and J. D. Joannopoulos, Channel drop tunneling through localized states, Phys. Rev. Lett. 80, 960–963 (1998).
A. Sharkawy, S. Y. Shi and D. W. Prather, Multichannel wavelength division multiplexing with photonic crystals, Appl. Optics 40, 2247–2252 (2001).
H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, Englewood Cliffs, 1984).
Y. Akahane, T. Asano, B. S. Song and S. Noda, Fine-tuned high-Q photonic-crystal nanocavity, Opt. Express 13, 1202–1214 (2005).
S. Noda, A. Chutinan and M. Imada, Trapping and emission of photons by a single defect in a photonic bandgap structure, Nature 407, 608–610 (2000).
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. 79, 2690–2692 (2001).
Y. Akahane, T. Asano, B. S. Song and S. Noda, Investigation of high-Q channel drop filters using donor-type defects in two-dimensional photonic crystal slabs, Appl. Phys. Lett. 83, 1512–1514 (2003).
B. S. Song, S. Noda and T. Asano, Photonic devices based on in-plane hetero photonic crystals, Science 300, 1537–1537 (2003).
T. Asano, W. Kunishi, M. Nakamura, B. S. Song and S. Noda, Dynamic wavelength tuning of channel-drop device in two-dimensional photonic crystal slab, Electron. Lett. 41, 37–38 (2005).
C. Manolatou, M. J. Khan, S. H. 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. 35, 1322–1331 (1999).
K. H. Hwang and G. H. Song, Design of a high-Q channel add-drop multiplexer based on the two-dimensional photonic-crystal membrane structure, Opt. Express 13, 1948–1957 (2005).
Z. Zhang and M. Qiu, Compact in-plane channel drop filter design using a single cavity with two degenerate modes in 2D photonic crystal slabs, Opt. Express 13, 2596–2604 (2005).
H. Takano, B. S. Song, T. Asano and S. Noda, Highly efficient in-plane channel drop filter in a two-dimensional heterophotonic crystal, Appl. Phys. Lett. 86, 241101 (2005).
Z. Y. Zhang and M. Qiu, Coupled-mode analysis of a resonant channel drop filter using waveguides with mirror boundaries, J. Opt. Soc. Am. B-Opt. Phys. 23, 104–113 (2006).
H. Takano, B. S. Song, T. Asano and S. Noda, Highly efficient multi-channel drop filter in a two-dimensional hetero photonic crystal, Opt. Express 14, 3491–3496 (2006).
A. Shinya, S. Mitsugi, E. Kuramochi and M. Notomi, Ultrasmall multi-channel resonant-tunneling filter using mode gap of width-tuned photonic-crystal waveguide, Opt. Express 13, 4202–4209 (2005).
W. Jiang and R. T. Chen, Multichannel optical add-drop processes in symmetrical waveguide-resonator systems, Phys. Rev. Lett. 91, 213901 (2003).
M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi and I. Yokohama, Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs, Phys. Rev. Lett. 87, 253902 (2001).
H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Van Hulst, T. F. Krauss and L. Kuipers, Real-space observation of ultraslow light in photonic crystal waveguides, Phys. Rev. Lett. 94, 073903 (2005).
M. Soljacic, S. G. Johnson, S. H. Fan, M. Ibanescu, E. Ippen and J. D. Joannopoulos, Photonic-crystal slow-light enhancement of nonlinear phase sensitivity, J. Opt. Soc. Am. B 19, 2052–2059 (2002).
Y. A. Vlasov, M. O'Boyle, H. F. Hamann and S. J. Mcnab, Active control of slow light on a chip with photonic crystal waveguides, Nature 438, 65–69 (2005).
Y. Q. Jiang, W. Jiang, L. L. Gu, X. N. Chen and R. T. Chen, 80-micron interaction length silicon photonic crystal waveguide modulator, Appl. Phys. Lett. 87, 221105 (2005).
L. L. Gu, W. Jiang, X. N. Chen, L. Wang and R. T. Chen, High speed silicon photonic crystal waveguide modulator for low voltage operation, Appl. Phys. Lett. 90, 071105 (2007).
A. S. Liu, R. Jones, L. Liao, D. Samara-Rubio, D. Rubin, O. Cohen, R. Nicolaescu and M. Paniccia, A high-speed silicon optical modulator based on a metal-oxide-semiconductor capacitor, Nature 427, 615–618 (2004).
T. Chu, H. Yamada, S. Ishida and Y. Arakawa, Thermooptic switch based on photonic-crystal line-defect waveguides, IEEE Photonics Technol. Lett. 17, 2083–2085 (2005).
C. A. Barrios, V. R. Almeida, R. Panepucci and M. Lipson, Electrooptic modulation of silicon-on-insulator submicrometer-size waveguide devices, J. Lightwave Technol. 21, 2332–2339 (2003).
C. A. Barrios, V. R. De Almeida and M. Lipson, Low-power-consumption short-length and high-modulation-depth silicon electrooptic modulator, J. Lightwave Technol. 21, 1089–1098 (2003).
Q. F. Xu, B. Schmidt, S. Pradhan and M. Lipson, Micrometre-scale silicon electro-optic modulator, Nature 435, 325–327 (2005).
R. A. Soref and B. R. Bennett, Electrooptical effects in silicon, IEEE J. Quantum Electron. 23, 123–129 (1987).
G. V. Treyz, P. G. May and J. M. Halbout, Silicon Mach–Zehnder wave-guide interferometers based on the plasma dispersion effect, Appl. Phys. Lett. 59, 771–773 (1991).
C. Z. Zhao, G. Z. Li, E. K. Liu, Y. Gao and X. D. Liu, Silicon-on-insulator Mach–Zehnder wave-guide interferometers operating at 1.3 Mu-M, Appl. Phys. Lett. 67, 2448–2449 (1995).
R. C. Alferness, Waveguide electrooptic modulators, IEEE Trans. Microw. Theory Tech. 30, 1121–1137 (1982).
D. A. B. Miller, Rationale and challenges for optical interconnects to electrical chips, Proc. IEEE 88, 728–749 (2000).
R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow and Y. S. Liu, Fully embedded board-level guided-wave optoelectronic interconnects, Proc. IEEE 88, 780–793 (2000).
E. A. Camargo, H. M. H. Chong and R. M. De La Rue, 2D Photonic crystal thermo-optic switch based on AlGaAs/GaAs epitaxial structure, Opt. Express 12, 588–592 (2004).
L. L. Gu, W. Jiang, X. N. Chen and R. T. Chen, Thermooptically tuned photonic crystal waveguide silicon-on-insulator Mach–Zehnder interferometers, IEEE Photonics Technol. Lett. 19, 342–344 (2007).
H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato and S. Kawakami, Superprism phenomena in photonic crystals, Phys. Rev. B 58, 10096–10099 (1998).
S. Y. Lin, V. M. Hietala, L. Wang and E. D. Jones, Highly dispersive photonic band-gap prism, Opt. Lett. 21, 1771–1773 (1996).
H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato and S. Kawakami, Superprism phenomena in photonic crystals: Toward microscale lightwave circuits, J. Lightwave Technol. 17, 2032–2038 (1999).
W. Jiang, C. Tian, Y. Jiang, Y. Chen, X. Lu and R. T. Chen, Superprism effect and light refraction and propagation in photonic crystals, Proc. SPIE, 5733, 50–57 (2005).
W. Jiang, unpublished (2004).
T. Baba and T. Matsumoto, Resolution of photonic crystal superprism, Appl. Phys. Lett. 81, 2325–2327 (2002).
B. Momeni and A. Adibi, Systematic design of superprism-based photonic crystal demultiplexers, IEEE J. Sel. Areas Commun. 23, 1355–1364 (2005).
L. J. Wu, M. Mazilu, T. Karle and T. F. Krauss, Superprism phenomena in planar photonic crystals, IEEE J. Quantum Electron. 38, 915–918 (2002).
J. J. Baumberg, N. M. B. Perney, M. C. Netti, M. D. C. Charlton, M. Zoorob and G. J. Parker, Visible-wavelength super-refraction in photonic crystal superprisms, Appl. Phys. Lett. 85, 354–356 (2004).
A. Lupu, E. Cassan, S. Laval, L. El Melhaoui, P. Lyan and J. M. Fedeli, Experimental evidence for superprism phenomena in SOI photonic crystals, Opt. Express 12, 5690–5696 (2004).
B. Momeni, J. D. Huang, M. Soltani, M. Askari, S. Mohammadi, M. Rakhshandehroo and A. Adibi, Compact wavelength demultiplexing using focusing negative index photonic crystal superprisms, Opt. Express 14, 2413–2422 (2006).
D. Scrymgeour, N. Malkova, S. Kim and V. Gopalan, Electro-optic control of the superprism effect in photonic crystals, Appl. Phys. Lett. 82, 3176–3178 (2003).
N. C. Panoiu, M. Bahl and R. M. Osgood, Optically tunable superprism effect in nonlinear photonic crystals, Opt. Lett. 28, 2503–2505 (2003).
T. Prasad, V. Colvin and D. Mittleman, Superprism phenomenon in three-dimensional macroporous polymer photonic crystals, Phys. Rev. B 67, 165103 (2003).
C. Y. Luo, M. Soljacic and J. D. Joannopoulos, Superprism effect based on phase velocities, Opt. Lett. 29, 745–747 (2004).
T. Baba, T. Matsumoto and M. Echizen, Finite difference time domain study of high efficiency photonic crystal superprisms, Opt. Express 12, 4608–4613 (2004).
V. G. Veselago, The Electrodynamics of substances with simultaneously negative values of ɛ and μ, Sov. Phys. Usp. 10, 509–514 (1968).
J. B. Pendry, Negative refraction makes a perfect lens, Phys. Rev. Lett. 85, 3966–3969 (2000).
R. A. Shelby, D. R. Smith and S. Schultz, Experimental verification of a negative index of refraction, Science 292, 77–79 (2001).
N. Fang, H. Lee, C. Sun and X. Zhang, Sub-diffraction-limited optical imaging with a silver superlens, Science 308, 534–537 (2005).
M. Notomi, Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap, Phys. Rev. B 62, 10696–10705 (2000).
C. Luo, S. G. Johnson, J. D. Joannopoulos and J. B. Pendry, All-angle negative refraction without negative effective index, Phys. Rev. B 65, 201104 (2002).
S. Foteinopoulou, E. N. Economou and C. M. Soukoulis, Refraction in media with a negative refractive index, Phys. Rev. Lett. 90, 107402 (2003).
C. Y. Luo, S. G. Johnson, J. D. Joannopoulos and J. B. Pendry, Subwavelength imaging in photonic crystals, Phys. Rev. B 68, 045115 (2003).
E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou and C. M. Soukoulis, Negative refraction by photonic crystals, Nature 423, 604–605 (2003).
A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylen, A. Talneau and S. Anand, Negative refraction at infrared wavelengths in a two-dimensional photonic crystal, Phys. Rev. Lett. 93, 073902 (2004).
D. W. Prather, S. Y. Shi, D. M. Pustai, C. H. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider and J. Murakowski, Dispersion-based optical routing in photonic crystals, Opt. Lett. 29, 50–52 (2004).
E. Istrate and E. H. Sargent, Photonic crystal heterostructures and interfaces, Rev. Mod. Phys. 78, 455 (2006).
W. Jiang, L. Gu, X. Chen, R. T. Chen, Photonic crystal waveguide modulators for silicon photonics: Device physics and some recent progress, Solid State Electronics, 51, 1278 (2007).
Acknowledgment
W. Jiang thanks the Air Force Office of Scientific Research (Dr. Gernot Pomrenke), Air Force Research Laboratory (Dr. Robert L. Nelson), and NASA for support during the period of writing.
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Jiang, W., Povinelli, M.L. (2008). Photonic Crystals: Physics, Fabrication, and Devices. In: Korkin, A., Rosei, F. (eds) Nanoelectronics and Photonics. Nanostructure Science and Technology. Springer, New York, NY. https://doi.org/10.1007/978-0-387-76499-3_11
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