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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 97))

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Abstract

Interactions of electromagnetic (EM) waves with either perfectly periodic or randomly disordered structures are problems of longstanding interest, with many applications. For instance, periodic structures are encountered in a variety of applications in modern EM engineering, such as phased arrays, frequency selective surfaces and photonic band-gap devices, whereas random geometries have been utilized for effective statistical modeling in applications like remote sensing, and propagation in turbulent media and urban environments. Thus, a number of theoretical and computational tools have been developed to characterize wave phenomenologies at the two extremes of the “order” scale, but much less is known about the wave dynamics associated with geometries in the “gray zone” in between (with the possible exception of fractal geometries which have found many applications in EM engineering).

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References

  1. Shechtman D, et al (1984) Phys Rev Lett 53: 1951–1953

    Article  ADS  Google Scholar 

  2. Levine D, Steinhardt PJ (1984) Phys Rev Lett 53: 2477–2480

    Article  ADS  Google Scholar 

  3. Grünbaum B, Shepard GC (1987) Tilings and patterns. Freeman, New York

    MATH  Google Scholar 

  4. Senechal M (1995) Quasicrystals and geometry. Cambridge University Press, Cambridge, UK

    MATH  Google Scholar 

  5. Pierro V, et al. (2004). Accepted for publication in IEEE Trans Antennas Propagat

    Google Scholar 

  6. Baake M (2002) A guide to mathematical quasicrystals. In Suck JB, Schreiber M, Häussler P (eds) Quasicrystals: an introduction to structure, physical properties, and applications. Springer, Berlin

    Google Scholar 

  7. Grimm U, Schreiber M (2002) Aperiodic tilings on the computer. In Suck JB, Schreiber M, Häussler P (eds) Quasicrystals: an introduction to structure, physical properties, and applications. Springer, Berlin

    Google Scholar 

  8. http://www.geom.uiuc.edu/software/tilings/TilingSoftware.html

  9. Radin C (1999), J Stat Phys 95: 827–833

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Chan YS, et al (1998) Phys Rev Lett 80: 956–959

    Article  ADS  Google Scholar 

  11. Maciâ E (1998) Appl Phys Lett 73: 3330–3332

    Article  ADS  Google Scholar 

  12. Jin C, et al (1999) Appl Phys Lett 75: 1848–1850

    Article  ADS  Google Scholar 

  13. Jin C, et al (2000) Phys Rev B16: 10762–10767

    Google Scholar 

  14. Kaliteevski MA, et al (2000) J Mod Opt 47: 1771–1778

    ADS  Google Scholar 

  15. Zhang X, et al (2001) Phys Rev B63: 081105(R)

    Google Scholar 

  16. Bayndir M, et al (2001) Phys Rev B63: 161104(R)

    Google Scholar 

  17. Bayndir M, et al (2001) Europhys Lett 56: 41–46

    Article  ADS  Google Scholar 

  18. Hase M, et al (2002) Phys Rev B66: 214205

    Google Scholar 

  19. Ouyang Z, et al (2002) J Opt A: Pure Appl Opt 4: 23–28

    Article  ADS  Google Scholar 

  20. Steinberg BD (1973) IEEE Trans Antennas Propagat 21: 366–370

    Article  ADS  Google Scholar 

  21. Buczek et al (2003) preprint cond-mat/0309008

    Google Scholar 

  22. Papoulis A (1962) The Fourier integral and its applications. McGraw-Hill, New York

    MATH  Google Scholar 

  23. Felsen LB, Capolino F (2000) IEEE Trans. Antennas Propagat 48: 921–931

    Article  ADS  Google Scholar 

  24. Capolino F, Felsen LB (2002) IEEE Trans. Antennas Propagat 50: 31–41

    Article  ADS  Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Galdi, V., Pierro, V., Castaldi, G., Fiumara, V., Pinto, I.M., Felsen, L.B. (2004). On Wave Dynamics Pertaining to Structures with Aperiodic Order. In: Russer, P., Mongiardo, M. (eds) Fields, Networks, Computational Methods, and Systems in Modern Electrodynamics. Springer Proceedings in Physics, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07221-9_6

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  • DOI: https://doi.org/10.1007/978-3-662-07221-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-06296-4

  • Online ISBN: 978-3-662-07221-9

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