Homogenisation for elastic photonic crystals and dynamic anisotropy
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Sébastien Guenneau | Richard V. Craster | Tryfon Antonakakis | R. Craster | S. Guenneau | T. Antonakakis
[1] Julius Kaplunov,et al. High frequency homogenization for structural mechanics , 2011 .
[2] A. Movchan,et al. Dynamic anisotropy and localization in elastic lattice systems , 2012 .
[3] R. Buczyński. Photonic Crystal Fibers , 2004 .
[4] William J. Parnell,et al. Homogenization for wave propagation in periodic fibre reinforced media with complex microstructure. I - Theory , 2008 .
[5] Luca Faust,et al. Foundations Of Photonic Crystal Fibres , 2016 .
[6] M. V. Ayzenberg-Stepanenkoa,et al. Resonant-frequency primitive waveforms and star waves in lattices , 2008 .
[7] Xueqin Huang,et al. DIRAC DISPERSION AND ZERO-INDEX IN TWO DI- MENSIONAL AND THREE DIMENSIONAL PHOTONIC AND PHONONIC SYSTEMS (INVITED PAPER) , 2012 .
[8] R. Craster,et al. Trapped modes in curved elastic plates , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[9] P. McIver,et al. Propagation of elastic waves through a lattice of cylindrical cavities , 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[10] T. Antonakakis,et al. High-frequency asymptotics for microstructured thin elastic plates and platonics , 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[11] V. Zalipaev,et al. Elastic waves and homogenization in oblique periodic structures , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[12] L. Brillouin. Wave propagation in periodic structures : electric filters and crystal lattices , 1953 .
[13] Andrey L. Piatnitski,et al. Homogenization of the Schrödinger Equation and Effective Mass Theorems , 2005 .
[14] John,et al. Strong localization of photons in certain disordered dielectric superlattices. , 1987, Physical review letters.
[15] S. Guenneau,et al. Elastic metamaterials with inertial locally resonant structures: Application to lensing and localization , 2013 .
[16] J. Willis,et al. Exact effective relations for dynamics of a laminated body , 2009 .
[17] Grigory Panasenko,et al. Multi-scale Modelling for Structures and Composites , 2005 .
[18] Sébastien Guenneau,et al. Dangers of using the edges of the Brillouin zone , 2012 .
[19] J. Pendry,et al. Negative refraction makes a perfect lens , 2000, Physical review letters.
[20] A. Norris,et al. Analytical formulation of three-dimensional dynamic homogenization for periodic elastic systems , 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[21] Julius Kaplunov,et al. High-frequency homogenization for checkerboard structures: defect modes, ultrarefraction, and all-angle negative refraction. , 2011, Journal of the Optical Society of America. A, Optics, image science, and vision.
[22] Julius Kaplunov,et al. Localized vibration in elastic structures with slowly varying thickness , 2005 .
[23] P. Russell. Photonic Crystal Fibers , 2003, Science.
[24] M. Ayzenberg-Stepanenko,et al. Resonant-frequency primitive waveforms and star waves in lattices , 2008 .
[25] Christopher G. Poulton,et al. Oblique propagation of electromagnetic and elastic waves for an array of cylindrical fibres , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[26] Julius Kaplunov,et al. HIGH FREQUENCY ASYMPTOTICS, HOMOGENIZATION AND LOCALIZATION FOR LATTICES , 2010 .
[27] D. Larkman,et al. Photonic crystals , 1999, International Conference on Transparent Optical Networks (Cat. No. 99EX350).
[28] N. Bakhvalov,et al. Homogenisation: Averaging Processes in Periodic Media , 1989 .
[29] Sia Nemat-Nasser,et al. Homogenization of periodic elastic composites and locally resonant sonic materials , 2011 .
[30] M. I. WEINSTEIN,et al. Defect Modes and Homogenization of Periodic Schrödinger Operators , 2010, SIAM J. Math. Anal..
[31] A R Plummer,et al. Introduction to Solid State Physics , 1967 .
[32] K. Cherednichenko,et al. Homogenization Techniques for Periodic Structures , 2012, 1304.7519.
[33] E. Sanchez-Palencia. Non-Homogeneous Media and Vibration Theory , 1980 .
[34] Sébastien Guenneau,et al. Gratings: Theory and Numeric Applications , 2012, 1302.1032.
[35] S. Orszag,et al. Advanced Mathematical Methods For Scientists And Engineers , 1979 .
[36] Steven G. Johnson,et al. Photonic Crystals: Molding the Flow of Light , 1995 .
[37] M. Ayzenberg-Stepanenko,et al. Wave propagation in elastic lattices subjected to a local harmonic loading. II. Two-dimensional problems , 2010 .
[38] E. Yablonovitch,et al. Inhibited spontaneous emission in solid-state physics and electronics. , 1987, Physical review letters.
[39] M. Birman,et al. Homogenization of a multidimensional periodic elliptic operator in a neighborhood of the edge of an internal gap , 2006 .
[40] T. Antonakakis,et al. Asymptotics for metamaterials and photonic crystals , 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[41] L. Walpole. Long elastic waves in a periodic composite , 1992 .
[42] J. Dyszlewicz. Two-dimensional problems , 2004 .
[43] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[44] Julius Kaplunov,et al. Long-wave asymptotic theories: The connection between functionally graded waveguides and periodic media , 2014 .
[45] C. Conca,et al. Fluids And Periodic Structures , 1995 .
[46] R. V. Craster,et al. High-frequency homogenization for periodic media , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[47] Richard Craster,et al. High-frequency homogenization of zero-frequency stop band photonic and phononic crystals , 2013, 1304.5782.
[48] G. Milton,et al. On the cloaking effects associated with anomalous localized resonance , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[49] Willie J Padilla,et al. Composite medium with simultaneously negative permeability and permittivity , 2000, Physical review letters.
[50] V. Veselago. The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .