|
[1]E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics, Physical Review Letters, Vol.58, pp.2058-2062 (1987). [2]S. John, “Strong localization of photons in certain disordered dielectric superlattices, Physical Review Letters, Vol.58, pp.2486-2489 (1987). [3]E. Yablonovitch and T. J. Gmitter, “Photonic band structure: The face-centered-cubic case, Physical Review Letters, Vol.63, pp.1950-1953 (1989). [4]J. D. Joannopoulos, R. D. Meade and J. N. Winn, Photonic Crystals: Molding the flow of light (Princeton University Press, Princeton, New Jersey, 1995). [5]V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ, Sov. Phys. Usp, Vol.10, pp.509-514 (1968). [6]J. B. Pendry, “Negative refraction makes a perfect lens, Physical Review Letters, Vol.85, pp.3966-3969 (2000). [7]E. W. Marchand, Gradient Index Optics (Academic, New York, 1978). [8]C. Gomez-Reino, M. V. Perez and C. Bao, Gradient-index optics: Fundamentals and applications (Springer, New York, 2002). [9]K. M. Ho, C. T. Chan and C. M. Soukoulis, “Existence of photonic gap in periodic dielectric structures, Physical Review Letters, Vol.65, pp.3152-3155 (1990). [10]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). [11]M. Plihal, A. Shambrook, A. A. Maradudin and P. Sheng, “Two-dimensional photonic band structures, Optics Communications, Vol.80, pp.199-204 (1991). [12]M. Plihal and A. A. Maradudin, “Photonic band structure of two-dimensional systems: The triangular lattice, Physical Review B, Vol.44, pp.8565-8571 (1991). [13]H. S. J. W. Haus and R. Inguva, “Photonic bands: Convergence problems with the plane-wave method, Physical Review B, Vol.45, pp.13962-13972 (1992). [14]J. B. Pendry and A. MacKinnon, “Calculation of photon dispersion relations, Physical Review Letters, Vol.69, pp.2772-2775 (1992). [15]R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos and O. L. Alerhand, “Accurate theoretical analysis of photonic band-gap material, Physical Review B, Vol.48, pp.8434-8437 (1993). [16]T. Hass, A. Hesse and T. Doll, “Omnidirectional two-dimensional photonic crystal band gap structures, Physical Review B, Vol.73, p.045130 (2006). [17]K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas and M. Sigalas, “Photonic band gaps in three dimensions: New layer-by-layer periodic structures, Solid State Communications, Vol.89, pp.413-416 (1994). [18]J. C. Knight, T. A. Birks, P. St. J. Russell and D. M. Atkin, “All-silica single-mode optical fiber with photonic crystal cladding, Optics Letters, Vol.21, pp.1547-1549 (1996). [19]R. A. Shelby, D. R .Smith and S. Schultz, “Experimental verification of a negative index of refraction, Science, Vol.292, pp.77-79 (2001). [20]J. F. Woodley and M. Mojahedi, “Negative group velocity and group delay in left-handed media,’’ Physical Review E, Vol.70, p.046603 (2004). [21]M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap, Physical Review B, Vol.62, pp.10696-10705 (2000). [22]B. Gralak, S. Enoch and G. Taybe, “Anomalous refractive properties of photonic crystals, Journal of the Optical Society of America A, Vol.17, pp.1012-1020 (2000). [23]S. Foteinopoulou and C. M. Soukoulis, “Negative refraction and left-handed behavior in two-dimensional photonic crystals, Physical Review B, Vol.67, p.235107 (2003). [24]S. Foteinopoulou, E. N. Economou and C.M. Soukoulis, “Refraction in Media with a Negative Refractive Index, Physical Review Letters, Vol.90, p.107402 (2003). [25]S. Foteinopoulou and C. M. Soukoulis, “Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects, Physical Review B, Vol.72, p.165112 (2005). [26]R. Gajić, R. Meisels, F. Kuchar and K. Hingerl, “Refraction and rightness in photonic crystals, Optics Express, Vol.13, pp. 8596-8605 (2005). [27]Z. C. Ruan, M. Qiu, S. S. Xiao, S. L. He and L. Thylén, “Coupling between plane waves and Bloch waves in photonic crystals with negative refraction, Physical Review B, Vol.71, p.045111 (2005). [28]A. Martínez, H. Míguez, A. Griol and J. Martí, “Experimental and theoretical analysis of the self-focusing of light by a photonic crystal lens, Physical Review B, Vol.69, p.165119 (2004). [29]Y. Y. Wang and L. W. Chen, “Tunable negative refraction photonic crystals achieved by liquid crystals, Optics Express, Vol.14, pp.10580-10587 (2006). [30]D. Scrymgeour, N. Malkova, S. Kim and V. Gopalan,“Electro-optic control of the superprism effect in photonic crystal, Applied Physics Letters, Vol.82, pp.3176-3178 (2003). [31]S. Xiong and H. Fukshima, “Analysis of light propagation in index-tunable photonic crystals, Journal of Applied Physics, Vol. 94, pp.1286-1288 (2003). [32]J. Li, M. H. Lu, L. Feng, X. P. Liu and Y. F. Chen, “Tunable negative refraction based on the Pockels effect in two-dimensional photonic crystals composed of electro-optic crystals, Journal of Applied Physics, Vol. 101, pp.013516 (2007). [33]W. Park and J. B. Lee, “Mechanically tunable photonic crystal structure, Applied Physics Letters, Vol.85, No.21, pp.4845-4847 (2004) [34]C. Luo, S. G. Johnson, J. D. Joannopoulos and J. B. Pendry, “All-angle negative refraction without negative effective index, Physical Review B, Vol. 65, p.201104 (2002). [35]P. V. Parimi, W. T. Lu, P. Vodo and S. Sridhar, “Imaging by flat lens using negative refraction, Nature, Vol.426, p.404 (2003). [36]Z. Lu, S. Shi, C. A. Schuetz and D. W. Prather, “Experimental demonstration of negative refraction imaging in both amplitude and phase, Optics Express, Vol.13, pp.2007-2012 (2005). [37]A. Berrier, M. Mulot, M. Swillo, M. Qu, L.Thylén, A. Talneau and S. Anand, “Negative refraction at infrared wavelength in a two-dimensional photonic crystal, Physical Review Letters, Vol.93, pp.073902 (2004). [38]E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopolou1 and C. M. Soukoulis, “Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens, Physical Review Letters, Vol.91, No.20, pp.207401 (2003). [39]S. Feng, Z. Y. Li, Z. F. Feng, K. Ren, B. Y. Cheng and D. Z. Zhang, “Focusing properties of a rectangular-rod photonic-crystal slab, Journal of Applied Physics, Vol.98, p.063102 (2005). [40]S. Feng, Z. Y. Li, Z. F. Feng, B. Y. Cheng and D. Z. Zhang, “Imaging properties of an elliptical-rod photonic-crystal slab lens, Physical Review B, Vol. 72, p.075101 (2005). [41]X. Wang, Z. F. Ren, and K. Kempa, “Unrestricted superlensing in a triangular two dimensional photonic crystal, Optics Express, Vol.12, pp.2919-2924 (2004). [42]R. Zengerle and P. C. Hoang, “Wide-angle beam refocusing using negative refraction in non-uniform photonic crystal waveguides, Optics Express, Vol.13, pp.5719-5730 (2005). [43]R. Zengerle and P. C. Hoang, “All-angle beam refocusing in nonuniform triangular photonic crystal slabs, Journal of the Optical Society of America B, Vol.24, pp.997-1003 (2007). [44]A. Martinez and J. Marti, “Analysis of wave focusing inside a negative-index photonic-crystal slab,’’ Optics Express, Vol.13, pp.2858-2868 (2005). [45]S. Xiao, M. Qiu, Z. Ruan and S. He, “Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction, Applied Physics Letters, Vol.85, pp.4269-4271 (2004). [46]X. Wang and K. Kempa, “Effects of disorder on subwavelength lensing in two-dimensional photonic crystal slabs, Physical Review B, Vol. 71, p.085101 (2005). [47]G. Sun, A. S. Jugessur and A. G. Kirk, “Imaging properties of dielectric photonic crystal slabs for large object distances, Optics Express, Vol.14, pp.6755-6765 (2006). [48]H. Zhang, L. Shen, L. Ran and Y. Yuan, “Layered superlensing in two-dimensional photonic crystals, Optics Express, Vol.14, pp.11178-11183 (2006). [49]Z. Tang, R. Peng, Y. Ye, C. Zhao, D. Fan, H. Zhang and S. Wen, “Optical properties of a square-lattice photonic crystal within the partial bandgap,’’ Journal of the Optical Society of America A , Vol.24, pp.379-384 (2007). [50]G. Sun and A. G. Kirk, “Analyses of negative refraction in the partial bandgap of photonic crystals,’’ Optics Express, Vol.16, pp.4330-4336 (2008). [51]X. Sun, X. Tao and K. Kwan, “Effects of material composition on the superlens frequency of photonic crystals,’’ Journal of the Optical Society of America B, Vol.25, pp.571-575 (2008). [52]J. Li, M. H. Lu, T. Fan, X. K. Liu, L. Feng, Y. F. Tang and Y. F. Chen, “All-angle negative refraction imaging effect with complex two-dimensional hexagonal photonic crystals, Journal of Applied Physics, Vol.102, p.073538 (2007). [53]K. Ren, Z. Y. Li, X. Ren, B. Cheng and D. Zhang, “Tunable negative refraction by electro-optical control in two-dimensional photonic crystal, Applied Physics A, Vol.87, pp.181-185 (2007). [54]E. Centeno, D. Cassagne, and J. P. Albert, “Mirage and superbending effect in two-dimensional graded photonic crystals, Physical Review B, Vol.73, pp.235119 (2006). [55]E. Akmansoy, E. Centeno, K. Vynck, D. Cassagne and J. M. Lourtioz, “Graded photonic crystals curve the flow of light: An experimental demonstration by the mirage effect, Applied Physics Letters, Vol.92, p.133501 (2008). [56]E. Centeno, E. Akmansoy, K. Vynck, D. Cassagne, J. M. Lourtioz, “Light bending and quasi-transparency in metallic graded photonic crystals, Photonics and Nanostructures-Fundamentals and Applications, Vol.8, pp.120-124 (2010). [57]H. Kurt and D. S. Citrin, “Graded index photonic crystals, Optics Express, Vol.15, pp.1240-1253 (2007). [58] H. T. Chien and C. C. Chen, “Focusing of electromagnetic waves by periodic arrays of air holes with gradually varying radii, Optics Express, Vol.14, pp. 10759-10764 (2006) [59]F. S. Roux and I. D. Leon, “Planar photonic crystal gradient index lens, simulated with a finite difference time domain method, Physical Review B, Vol.74, pp.113103 (2006). [60]H. Kurt, E. Colak, O. Cakmak, H. Caglayan and E. Ozbay, “The focusing effect of graded index photonic crystals, Applied Physics Letters, Vol.93, p.171108 (2008). [61]Q. Wu, J. M. Gibbons and W. Park, “Graded negative index lens by photonic crystals, Optics Express, Vol.16, pp.16941-16949 (2008). [62]C. Tan, T. Niemi, C. Peng and M. Pessa, “Focusing effect of a graded index photonic crystal lens, Optics Communications, Vol.284, pp.3140-3143 (2011). [63]F. Gaufillet and É. Akmansoy, “Graded photonic crystals for graded index lens, Optics Communications, Vol.285, pp.2638-2641 (2012). [64]S. Chen, J. Du, S. Liu, Z. Lin and S. T. Chui, “Focusing the electromagnetic wave with a magnetic field, Optics Letters, Vol.33, pp.2476-2478 (2008). [65]A. O. Cakmak, E. Colak, H. Caglayan, H. Kurt and E. Ozbay, “High efficiency of graded index photonic crystal as an input coupler, Journal of Applied Physics, Vol.105, pp.103708 (2009). [66]M. I. Kotlyar, Y. R. Triandaphilov, A. A. Kovalev, V. A. Soifer, M. V. Kotlyar and L. O’Faolain, “Photonic crystal lens for coupling two waveguides, Applied Optics, Vol.48, pp.3722-3730 (2009). [67]M. Lu, B. K. Juluri, S. S. Lin, B. Kiraly, T. Gao and T. J. Huang, “Beam aperture modifier and beam deflector using gradient-index photonic crystals, Journal of Applied Physics, Vol.108, pp.103505 (2010). [68]B. Vasic, G. Isic, R. Gajic and K. Hingerl, “Controlling electromagnetic fields with graded photonic crystals in metamaterial regime, Optics Express, Vol.18, pp. 20321-20333 (2010). [69]B. Vasic, R. Gajic and K. Hingerl, “Graded photonic crystals for implementation of gradient refractive index media, Journal of Nanophotonics, Vol.5, p.051806 (2011). [70]B. Vasic and R. Gajic, “Self-focusing media using graded photonic crystals: Focusing, Fourier transforming and imaging, directive emission, and directional cloaking, Journal of Applied Physics, Vol.110, p.053103 (2011). [71]B. Vasic and R. Gajic, “Tunable gradient refractive index optics using graded plasmonic crystals with semiconductor rods, Journal of the Optical Society of America B, Vol.29, pp.79-87 (2012). [72]E. Cassan and K. V. Do, “Analytic design of graded photonic crystals in the metamaterial regime, Journal of the Optical Society of America B, Vol.28, pp.1905-1910 (2011). [73]E. Cassan, K. V. Do, C. Caer, D. Marris-Morini and L. Vivien, “Short-Wavelength Light Propagation in Graded Photonic Crystals, Journal of Lightwave Technology, Vol.29, pp. 1937-1943 (2011). [74]K. V. Do, X. L. Roux, D. Marris-Morini, L. Vivien and E. Cassan, “Experimental demonstration of light bending at optical frequencies using a non-homogenizable graded photonic crystal, Optics Express, Vol.20, pp.4776-4783 (2012). [75]H. Gao, B. Zhang, S. G. Johnson and G. Barbastathis, “Design of thin–film photonic metamaterial Lüneburg lens using analytical approach, Optics Express, Vol.20, pp.1617-1628 (2012). [76]M. Yin, X. Y. Tian, H. X. Han and D. C. Li, “Free-space carpet-cloak based on gradient index photonic crystals in metamaterial regime, Applied Physics Letters, Vol.100, p.124101 (2012). [77]U. Leonhardt, “Optical conformal mapping, Science, Vol.312, pp.1777-1780 (2006). [78]J. B. Pendry, D. Schurig and D. R. Smith, “Controlling electromagnetic fields, Science, Vol.312, pp.1780-1782 (2006). [79]H. Chen, C. T. Chan and P. sheng, “transformation optics and metamaterials, Nature Materials, Vol.9, pp.387-396 (2010). [80]S. A. Cummer, B. Popa, D. Schurig, D. R. Smith and J. B. Pendry, ‘‘Full–wave simulations of electromagnetic cloaking structures,’’ Physical Review E, Vol.74, p.036621 (2006). [81]J. Li and J. B. Pendry, “Hiding under the Carpet: A New Strategy for Cloaking, Physical Review Letters, Vol.101, p.203901 (2008). [82]X. Xu, Y. Feng, Y. Hao, J. Zhao and T. Jiang “Infrared carpet cloak designed with uniform silicon grating structure, Applied Physics Letters, Vol.95, p.184102 (2009). [83]M. Tsang and D. Psaltis, “Magnifying perfect lens and superlens design by coordinate transformation, Physical Review B, Vol.77, p.035122 (2008). [84]L. Lin, W. Wang, J. H. Cui, C. L. Du and X. G. Luo, “Design of electromagnetic refractor and phase transformer using coordinate transformation theory, Optics Express 16, pp.6815-6821 (2008). [85]M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations, Photonics and Nanostructures - Fundamentals and Applications, Vol.6, pp.87-95 (2008). [86]F. M. Kong, B. I. I. Wu, J. A. Kong, J. T. Huangfu, S. Xi, and H. S. Chen, “Planar focusing antenna design by using coordinate transformation technology, Applied Physics Letters, Vol.91, p.253509 (2007). [87]H. Y. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields, Applied Physics Letters, Vol.90, p.241105 (2007). [88]P. H. Tichit, S. N. Burokur, and A. de Lustrac, “Waveguide taper engineering using coordinate transformation technology, Optics Express, Vol.18, pp.767-772 (2010). [89]W. X. Jiang, T. J. Cui, X. Y. Zhou, X. M. Yang and Q. Cheng, “Arbitrary bending of electromagnetic waves using realizable inhomogeneous and anisotropic materials, Physical Review E, Vol.78, p.066607 (2008). [90]D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners, Applied Physics Letters, Vol.93, p.251111 (2008). [91]J. Huangfu, S. Xi, F. Kong, J. Zhang, H. Chen, D. Wang, B. I. Wu, L. Ran and J. A. Kong, “Application of coordinate transformation in bent waveguides, Journal of Applied Physics, Vol.104, p.014502 (2008). [92]Z. L. Mei and T. J. Cui, “Arbitrary bending of electromagnetic waves using isotropic materials, Journal of Applied Physics, Vol.105, p.104913 (2009). [93]J. P. Turpin, A. T. Massoud, Z. H. Jiang, P. L. Werner and D. H. Werner, “Conformal mappings to achieve simple material parameters for transformation optics devices, Optics Express, Vol. 18, pp. 244-252 (2010). [94]K. Yao and X. Jiang, “Designing feasible optical devices via conformal mapping, Journal of the Optical Society of America B, Vol.28, pp.1037-1042 (2011). [95]D. A. Genov, S. Zhang and X. Zhang, “Mimicking celestial mechanics in metamaterials, Nature Physics, Vol.5, pp.687-692 (2009). [96]E. E. Narimanov and A. V. Kildishev, ‘‘Optical black hole: broadband omnidirectional light absorber,’’ Applied Physics Letters, Vol.95, p.041106 (2009). [97]A. V. Kildishev, L. J. Prokopeva and E. E. Narimanov, “Cylinder light concentrator and absorber: theoretical description, Optics Express, Vol.18, pp.16646-16662 (2010). [98]C. Argyropoulos, E. Kallos and Y. Hao, “FDTD analysis of the optical black hole, Journal of the Optical Society of America B, Vol.27, pp.2020-2025 (2010). [99]Q. Cheng, T. J. Cui, W. X. Jiang and B. G. Cai, ‘‘An omnidirectional electromagnetic absorber made of metamaterials,’’ New Journal of Physics, Vol.12, p.063006 (2010). [100]W. Lu, J. F. Jin, Z. Lin and H. Chen, ‘‘A simple design of an artificial electromagnetic black hole,’’ Journal of Applied Physics, Vol.108, p.064517 (2010). [101]J. Zhou, X. Cai, Z. Chang and G. Hu, “Experimental study on a broadband omnidirectional electromagnetic absorber, Journal of Optics, Vol.13, p.085103 (2011). [102]Y. Yang, L. Y. Leng, N. Wang, Y. Ma and C. K. Ong, “Electromagnetic field attractor made of gradient index metamaterials, Journal of the Optical Society of America A, Vol.29, pp. 473-475 (2012). [103]J. Qiu, L. H. Liu, P. F. Hsu, “Radiative properties of optical board embedded with optical black holes, Journal of Quantitative Spectroscopy and Radiative Transfer, Vol.112, pp.832-838 (2011). [104]S. Guo and S. Albin, “Simple plane wave implementation for photonic crystal calculations, Optics Express, Vol.11, pp.167-175 (2003). [105]J. N. Reddy, An introduction to the finite element method 3rd ed. (McGraw-Hill, New York, 2006). [106]J. P. Berenger, “A perfectly matched layer for absorption of electromagnetic waves, Journal of Computational Physics, Vol.114, pp.185-200 (1994). [107]A. Sihvola, Electromagnetic mixing formulas and applications (Institution of Electrical Engineers, London, United Kingdom, 1999). [108]R. K. Lüneburg, The mathematical theory of optics (University of California Press, Los Angeles, CA, 1944). [109]A. D. Falco, S. C. Kehr and U. Leonhardt, “Luneburg lens in silicon photonics, Optics Express, Vol.19, pp.5156-5162 (2011). [110]M. A. Ordal, L. L. Long, R. J. Bell, S. E. Bell, R. R. Bell, R.W. Alexander and C. A. Ward, “Optical properties of the metals Al, Co, Cu, Au, Fe, Pb, Ni, Pd, Pt, Ag, Ti, and W in the infrared and far infrared, Applied Optics, Vol.22, pp.1099-1119 (1983). [111]B. Vasic, G. Isic, R. Gajic and K. Hingerl, “Coordinate transformation based design of confined metamaterial structures, Physical Review B, Vol.79, p.085103 (2009). [112]X. Wu, Z. Lin, H. Chen and C. T. Chan, “Transformation optical design of a bending waveguide by use of isotropic materials, Applied Optics, Vol.48, pp. G101-G105 (2009). [113]S. G. Lee, J. S. Choi, J. E. Kim, H. Y. Park and C. S. Kee, “Reflection minimization at two-dimensional photonic crystal interfaces, Optics Express, Vol.16, pp.4270-4277 (2008). [114]T. T. Kim, S. G. Lee, M. W. Kim, H. Y. Park and J. E. Kim, “Experimental demonstration of reflection minimization at two-dimensional photonic crystal interfaces via antireflection structures, Applied Physics Letters, Vol.95, p.011119 (2009). [115]M. Born and E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, 2002).
|