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All issues Volume 9 (2022) EPJ Appl. Metamat., 9 (2022) 1 References
Issue
EPJ Appl. Metamat.
Volume 9, 2022
Metamaterials for Novel Wave Phenomena in Microwaves, Optics, and Mechanics
Article Number 1
Number of page(s) 10
DOI https://doi.org/10.1051/epjam/2021012
Published online 01 February 2022
  1. V.G. Veselago, The electrodynamics of substances with simultaneously negative values of ε and μ, Sov. Phys. Usp. 10, 509 (1968) [CrossRef] [Google Scholar]
  2. S.A. Ramakrishnan, Physics of negative refractive index materials, Rep. Prog. Phys. 68, 449 (2005) [CrossRef] [Google Scholar]
  3. R.A. Shelby, D.R. Smith, S. Schultz, Experimental verification of a negative index of refraction, Science 292, 77 (2001) [CrossRef] [Google Scholar]
  4. V.M. Shalaev, Optical negative-index metamaterials, Nat. Photonics 1, 41 (2007) [CrossRef] [Google Scholar]
  5. J.B. Pendry, Negative refraction makes a perfect lens, Phys. Rev. Lett. 85, 3966 (2000) [CrossRef] [Google Scholar]
  6. J. Li, L. Zhou, C.T. Chan, P. Sheng, Photonic band gap from a stack of positive and negative index materials, Phys. Rev. Lett. 90, 083901 (2003) [CrossRef] [Google Scholar]
  7. T. Terao, Numerical study of two-dimensional metamaterial composites: the existence of a stop band, J. Mod. Opt. 60, 1997 (2013) [CrossRef] [Google Scholar]
  8. T. Terao, Finite-difference frequency-domain method to study photonic crystals with dispersive metamaterials, Jpn. J. Appl. Phys. 50, 102204 (2011) [CrossRef] [Google Scholar]
  9. A. Soltani Vala, S. Roshan Entezar, A.A. Sedghi, Band structure of two-dimensional square lattice photonic crystals of circular dispersive metamaterial rods, Eur. Phys. J. B 81, 269 (2011) [CrossRef] [Google Scholar]
  10. K. Edagawa, S. Kanoko, M. Notomi, Photonic amorphous diamond Structure with a 3D photonic band gap, Phys. Rev. Lett. 100, 013901 (2008) [CrossRef] [Google Scholar]
  11. M. Florescu, S. Torquato, P.J. Steinhardt, Designer disordered materials with large, complete photonic band gaps, Proc. Natl. Acad. Sci. U.S.A. 106, 20658 (2009) [CrossRef] [Google Scholar]
  12. W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, P. Chaikin, Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast, Opt. Express 21, 19972 (2013) [CrossRef] [Google Scholar]
  13. R. Meisels, F. Kuchar, Density-of-states and wave propagation in two-dimensional photonic crystals with positional disorder, J. Opt. A. 9, S396 (2007) [CrossRef] [Google Scholar]
  14. S. Guo, F. Wu, S. Albin, R. Rogowski, Photonic band gap analysis using finite-difference frequency-domain method, Opt. Express 12, 1741 (2004) [CrossRef] [Google Scholar]
  15. A.M. Ivinskaya, A.V. Lavrinenko, D.M. Shyroki, Modeling of nanophotonic resonators with the finite-difference frequency-domain method, IEEE Trans. Antennas Propag. 59, 4155 (2011) [CrossRef] [Google Scholar]
  16. D.M. Shyroki, A.V. Lavrinenko, Perfectly matched layer method in the finite-difference time-domain and frequency-domain calculations, Phys. Stat. Sol. 244, 3506 (2007) [CrossRef] [Google Scholar]
  17. T. Terao, Computing interior eigenvalues of nonsymmetric matrices: application to three-dimensional metamaterial composites, Phys. Rev. E 82, 026702 (2010) [CrossRef] [Google Scholar]
  18. A. Taflove, S.C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. (Artech House, Boston, 2005) [Google Scholar]
  19. T. Terao, Numerical analysis of metamaterial photonic crystals with positional disorder, in Proceedings of 15th international congress on artificial materials for novel wave phenomena (Metamaterials 2021), in press [Google Scholar]
  20. T. Terao, Manipulating sonic band gaps at will: vibrational density of states in three-dimensional acoustic metamaterial composites, Waves Random Complex Media 28, 253 (2018) [CrossRef] [Google Scholar]
  21. G.H. Golub, C.F. van Loan, Matrix Computations, 4th ed. (John Hopkins, Baltimore, 2013) [Google Scholar]
  22. Y. Saad, Iterative Methods for Sparse Linear Systems, 2nd ed. (SIAM, Philadelphia, 2003) [Google Scholar]
  23. F. Chatelin, Eigenvalues of Matrices (SIAM, Philadelphia, 2012) [CrossRef] [Google Scholar]
  24. R.B. Lehoucq, D.C. Sorensen, C. Yang, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods (SIAM, Philadelphia, 1998) [CrossRef] [Google Scholar]
  25. U. Elsner, V. Mehrmann, F. Milde, R.A. Römer, M. Schreiber, SIAM J. Sci. Comput. 20, 2089 (1999) [CrossRef] [Google Scholar]
  26. T. Terao, Eigenvalue analysis of the three-dimensional tight-binding model with non-Hermitian disorder, Phys. Rev. B 103, 224201 (2021) [CrossRef] [Google Scholar]
  27. H. Daninthe, S. Foteinopoulou, C.M. Soukoulis, Omni-reflectance and enhanced resonant tunneling from multilayers containing left-handed materials, Photonics Nanostruct. Fundam. Appl. 4, 123 (2006) [CrossRef] [Google Scholar]
  28. A.A. Asatryan, L.C. Botten, M.A. Byrne, V.D. Freilikher, S.A. Gredeskul, I.V. Shadrivov, R.C. McPhedran, Y.S. Kivshar, Suppression of anderson localization in disordered metamaterial, Phys. Rev. Lett. 99, 193902 (2007) [CrossRef] [Google Scholar]
  29. J.A. Monsoriu, R.A. Depine, E.J. Silvestre, Non-Bragg band gaps in 1D metamaterial aperiodic multilayers, Eur. Opt. Soc. Rapid Publ. 2, 07002 (2007) [CrossRef] [Google Scholar]
  30. E. Reyes-Gómez, N. Raigoza, S.B. Cavalcanti, C.A.A. de Carvalho, L.E. Oliveira, Absorption effects on plasmon polaritons in quasiperiodic photonic superlattices containing a metamaterial, J. Phys.: Condens. Matter 22, 385901 (2010) [CrossRef] [Google Scholar]
  31. J.A. Monsoriu, R.A. Depine, M.L. Martínez-Ricci, E. Silvestre, P. Andrés, m-bonacci metamaterial multilayers: location of the zero-average index bandgap edges, Opt. Lett. 34, 3172 (2009) [CrossRef] [Google Scholar]
  32. A.A. Asatryan, L.C. Botten, M.A. Bayne, V.D. Freilikher, S.A. Gredeskul, I.V. Shadrivov, R.C. McPhedran, Y.S. Kivshar, Transmission and Anderson localization in dispersive metamaterials, Phys. Rev. B 85, 045122 (2012) [CrossRef] [Google Scholar]
  33. D. Mogilevtsev, F.A. Pinheiro, R.R. dos Santos, S.B. Cavalcanti, S.B.L.E. Oliveira, Suppression of Anderson localization of light and Brewster anomalies in disordered superlattices containing a dispersive metamaterial, Phys. Rev. B 82, 081105 (2010) [CrossRef] [Google Scholar]
  34. E. Marinari, G. Parisi, Simulated tempering: a new Monte Carlo scheme, Europhys. Lett. 19, 451 (1992) [CrossRef] [Google Scholar]
  35. A.P. Lyubartsev, A.A. Martinovski, S.V. Shevkunov, P.N. Vorontsov-Velyaminov, New approach to Monte Carlo calculation of the free energy: method of expanded ensembles, J. Chem. Phys. 96, 1776 (1992) [CrossRef] [Google Scholar]
  36. C.J. Geyer, Markov chain Monte Carlo maximum likelihood, in E.M. Keramidas (Ed.), Computing Science and Statistics: Proceedings of the 23rd Symposium on the Interface (American Statistical Association, New York 1991), p. 156 [Google Scholar]
  37. K. Hukushima, K. Nemoto, Exchange Monte Carlo method and application to spin glass simulations, J. Phys. Soc. Jpn. 65, 1604 (1996) [CrossRef] [Google Scholar]
  38. S. Trebst, M. Troyer, U.H.E. Hansmann, Optimized parallel tempering simulations of proteins, J. Chem. Phys. 124, 174903 (2006) [CrossRef] [Google Scholar]
  39. M. Born, E. Wolf, with contributions by A.B. Bhatia et al., Principles of optics: electromagnetic theory of propagation, interference and diffraction of light 7th ed. (Cambridge University Press, Cambridge, 1999) [CrossRef] [Google Scholar]
  40. W. Salejda, A. Klauzer-Kruszyna, K. Tarnowski, Photonic band structure of one-dimensional aperiodic superlattices composed of negative refraction metamaterials, Proc. SPIE 6581, 658112 (2007) [CrossRef] [Google Scholar]

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