372
L. D. Negro et al.
References
1. M.I. Stockman, Inhomogeneous eigenmode localization, chaos, and correlations in large disordered clusters. Phys. Rev. E 56(6), 6494 (1997)
2. V.M. Shalaev, Nonlinear Optics of Random Media: Fractal Composites and Metal-Dielectric
Films (Springer, New York, 1999)
3. V.M. Shalaev, Optical Properties of Nanostructured Random Media (Springer Verlag, Berlin,
2002)
4. M. Senechal, Quasicrystals and Geometry (Cambridge University Press, Cambridge, 1996)
5. T. Janssen, G. Chapuis, M. De Boissieu, Aperiodic Crystals: From Modulated Phases to
Quasicrystals (Oxford University Press, Oxford, 2007)
6. M. De Graef, M.E. McHenry, V. Keppens, Structure of materials: an introduction to crystallography, diffraction, and symmetry. J. Acoust. Soc. Am. 124(3), 1385–1386 (2008)
7. J.P. Allouche, J.O. Shallit, Automatic Sequences: Theory, Applications, Generalizations
(Cambridge University Press, Cambridge, 2003)
8. M. Queffélec, Substitution Dynamical Systems-Spectral Analysis (Springer Verlag, Berlin,
2010)
9. D.A. Lind, B. Marcus, An Introduction to Symbolic Dynamics and Coding (Cambridge University Press, Cambridge, 1995)
10. M. Schroeder, Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity (Springer Verlag, Berlin,
2009)
11. G.H. Hardy, E.M. Wright, D.R. Heath-Brown, J.H. Silverman, An Introduction to the Theory
of Numbers (Clarendon press, Oxford, 1979)
12. S.J. Miller, R. Takloo-Bighash, An Invitation to Modern Number Theory (Princeton University
Press, Princeton, 2006)
13. E. Maciá, Aperiodic Structures in Condensed Matter: Fundamentals and Applications (CRC
Press Taylor and Francis, Boca Raton, 2009)
14. L. Dal Negro, S.V. Boriskina, Deterministic aperiodic nanostructures for photonics and plasmonics applications. Laser Photonics Rev. 6(2), 178–218 (2012). doi:10.1002/lpor.201000046
15. E. Maciá, The role of aperiodic order in science and technology. Rep. Prog. Phys. 69(2),
397–441 (2006)
16. W. Steurer, D. Sutter-Widmer, Photonic and phononic quasicrystals. J. Phys. D Appl. Phys.
40(13), R229–R247 (2007)
17. A.N. Poddubny, E.L. Ivchenko, Photonic quasicrystalline and aperiodic structures. Physica E
42(7), 1871–1895 (2010)
18. M. Kohmoto, L.P. Kadanoff, C. Tang, Localization problem in one dimension: mapping and
escape. Phys. Rev. Lett. 50(23), 1870 (1983)
19. M. Kohmoto, B. Sutherland, K. Iguchi, Localization of optics: quasiperiodic media. Phys.
Rev. Lett. 58(23), 2436 (1987)
20. M.S. Vasconcelos, E.L. Albuquerque, Transmission fingerprints in quasiperiodic dielectric
multilayers. Phys. Rev. B 59(17), 11128 (1999)
21. M. Dulea, M. Severin, R. Riklund, Transmission of light through deterministic aperiodic
non-Fibonaccian multilayers. Phys. Rev. B 42(6), 3680 (1990)
22. W. Gellermann, M. Kohmoto, B. Sutherland, P.C. Taylor, Localization of light waves in
Fibonacci dielectric multilayers. Phys. Rev. Lett. 72(5), 633 (1994)
23. R. Merlin, K. Bajema, R. Clarke, F.Y. Juang, P.K. Bhattacharya, Quasiperiodic GaAs-AlAs
heterostructures. Phys. Rev. Lett. 55(17), 1768 (1985)
24. E. Maciá, Optical engineering with Fibonacci dielectric multilayers. Appl. Phys. Lett. 73(23),
3330–3332 (1998)
25. E. Maciá, Exploiting quasiperiodic order in the design of optical devices. Phys. Rev. B 63(20),
205421 (2001)
26. A.N. Kolmogorov, S.V. Fomin, Elements of the Theory of Functions and Functional Analysis
(Dover Books on Mathematics) (Dover, New York, 1999)
L. D. Negro et al.
References
1. M.I. Stockman, Inhomogeneous eigenmode localization, chaos, and correlations in large disordered clusters. Phys. Rev. E 56(6), 6494 (1997)
2. V.M. Shalaev, Nonlinear Optics of Random Media: Fractal Composites and Metal-Dielectric
Films (Springer, New York, 1999)
3. V.M. Shalaev, Optical Properties of Nanostructured Random Media (Springer Verlag, Berlin,
2002)
4. M. Senechal, Quasicrystals and Geometry (Cambridge University Press, Cambridge, 1996)
5. T. Janssen, G. Chapuis, M. De Boissieu, Aperiodic Crystals: From Modulated Phases to
Quasicrystals (Oxford University Press, Oxford, 2007)
6. M. De Graef, M.E. McHenry, V. Keppens, Structure of materials: an introduction to crystallography, diffraction, and symmetry. J. Acoust. Soc. Am. 124(3), 1385–1386 (2008)
7. J.P. Allouche, J.O. Shallit, Automatic Sequences: Theory, Applications, Generalizations
(Cambridge University Press, Cambridge, 2003)
8. M. Queffélec, Substitution Dynamical Systems-Spectral Analysis (Springer Verlag, Berlin,
2010)
9. D.A. Lind, B. Marcus, An Introduction to Symbolic Dynamics and Coding (Cambridge University Press, Cambridge, 1995)
10. M. Schroeder, Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity (Springer Verlag, Berlin,
2009)
11. G.H. Hardy, E.M. Wright, D.R. Heath-Brown, J.H. Silverman, An Introduction to the Theory
of Numbers (Clarendon press, Oxford, 1979)
12. S.J. Miller, R. Takloo-Bighash, An Invitation to Modern Number Theory (Princeton University
Press, Princeton, 2006)
13. E. Maciá, Aperiodic Structures in Condensed Matter: Fundamentals and Applications (CRC
Press Taylor and Francis, Boca Raton, 2009)
14. L. Dal Negro, S.V. Boriskina, Deterministic aperiodic nanostructures for photonics and plasmonics applications. Laser Photonics Rev. 6(2), 178–218 (2012). doi:10.1002/lpor.201000046
15. E. Maciá, The role of aperiodic order in science and technology. Rep. Prog. Phys. 69(2),
397–441 (2006)
16. W. Steurer, D. Sutter-Widmer, Photonic and phononic quasicrystals. J. Phys. D Appl. Phys.
40(13), R229–R247 (2007)
17. A.N. Poddubny, E.L. Ivchenko, Photonic quasicrystalline and aperiodic structures. Physica E
42(7), 1871–1895 (2010)
18. M. Kohmoto, L.P. Kadanoff, C. Tang, Localization problem in one dimension: mapping and
escape. Phys. Rev. Lett. 50(23), 1870 (1983)
19. M. Kohmoto, B. Sutherland, K. Iguchi, Localization of optics: quasiperiodic media. Phys.
Rev. Lett. 58(23), 2436 (1987)
20. M.S. Vasconcelos, E.L. Albuquerque, Transmission fingerprints in quasiperiodic dielectric
multilayers. Phys. Rev. B 59(17), 11128 (1999)
21. M. Dulea, M. Severin, R. Riklund, Transmission of light through deterministic aperiodic
non-Fibonaccian multilayers. Phys. Rev. B 42(6), 3680 (1990)
22. W. Gellermann, M. Kohmoto, B. Sutherland, P.C. Taylor, Localization of light waves in
Fibonacci dielectric multilayers. Phys. Rev. Lett. 72(5), 633 (1994)
23. R. Merlin, K. Bajema, R. Clarke, F.Y. Juang, P.K. Bhattacharya, Quasiperiodic GaAs-AlAs
heterostructures. Phys. Rev. Lett. 55(17), 1768 (1985)
24. E. Maciá, Optical engineering with Fibonacci dielectric multilayers. Appl. Phys. Lett. 73(23),
3330–3332 (1998)
25. E. Maciá, Exploiting quasiperiodic order in the design of optical devices. Phys. Rev. B 63(20),
205421 (2001)
26. A.N. Kolmogorov, S.V. Fomin, Elements of the Theory of Functions and Functional Analysis
(Dover Books on Mathematics) (Dover, New York, 1999)