Comparing omnidirectional reflection from periodic and quasiperiodic one-dimensional photonic crystals

Barriuso, A. G.; Monzón, J. J.; Sánchez-Soto, Luis L.; Felipe, Ángel

doi:10.1364/opex.13.003913

Cited by 44 publications

(22 citation statements)

References 25 publications

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“…An appropriate tool for that end is the wavelength-and angle-averaged reflectance [42,43]. Putting this concept to work is relatively straightforward and one is right away led to the conclusion that, for the same number of layers, photonic crystals always offer better performance than Fibonacci or Thue-Morse ones [44].…”

Section: Introductionmentioning

confidence: 99%

Omnidirectional reflection from generalized Fibonacci quasicrystals

et al. 2013

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Abstract:We determine the optimal thicknesses for which omnidirectional reflection from generalized Fibonacci quasicrystals occurs. By capitalizing on the idea of wavelength-and angle-averaged reflectance, we assess in a consistent way the performance of the different systems. Our results indicate that some of these aperiodic arrangements can largely overperform the conventional photonic crystals as omnidirectional reflection is concerned. 143-215 (1996). 6. B. A. van Tiggelen, "Transverse diffusion of light in Faraday-active media," Phys. Rev. Lett. 75, 422-424 (1995). 7. W. Steurer and D. Sutter-Widmer, "Photonic and phononic quasicrystals," J. Phys. D 40, R229-R247 (2007). 8. A. Poddubny and E. Ivchenko, "Photonic quasicrystalline and aperiodic structures," Physica E 42, 1871-1895 (2010). 9. L. Dal Negro and S. V. Boriskina, "Deterministic aperiodic nanostructures for photonics and plasmonics applications," Laser Photon. Rev. 6, 178-218 (2012). 10. P. J. Steinhardt and S. Ostlund, The Physics of Quasicrystals (World Scientific, 1987). 11. M. Senechal, Quasicrystals and Geometry (Cambridge University, 1995). 12. C. Janot, Quasicrystals: A Primer (Oxford University, 2012). 13. Z. V. Vardeny, A. Nahata, and A. Agrawal, "Optics of photonic quasicrystals," Nat. Photonics 7, 177-187 (2013). 14. E. Maciá, "The role of aperiodic order in science and technology," Rep. Prog. Phys. 69, 397-441 (2006 1768-1770 (1985). 17. M. Kohmoto, L. P. Kadanoff, and C. Tang, "Localization problem in one dimension: Mapping and escape," Phys.Rev. Lett. 50, 1870-1872 (1983). 18. M. Kohmoto, B. Sutherland, and K. Iguchi, "Localization in optics: Quasiperiodic media," Phys. Rev. Lett. 58, 2436-2438 (1987). 19. N.-H. Liu, "Propagation of light waves in Thue-Morse dielectric multilayers," Phys. Rev. B 55, 3543-3547 (1997). 20. S. Tamura and F. Nori, "Transmission and frequency spectra of acoustic phonons in Thue-Morse superlattices,"Phys. Rev. B 40, 9790-9801 (1989 1947-1952 (1998). 24. E. Cojocaru, "Forbidden gaps in finite periodic and quasi-periodic Cantor-like dielectric multilayers at normal incidence," Appl. one-dimensional magnonic quasicrystals," J.

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Section: Introductionmentioning

confidence: 99%

Omnidirectional reflection from generalized Fibonacci quasicrystals

et al. 2013

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“…The considered distribution of hybrid photonic band gaps named GF(m, n)/Periodic/GF(m, n) is essentially composed of two quasi-periodic cells arranged according to the 5th order of the generalized Fibonacci sequence called GFC (5,5,5). The high and low refractive indices of layers are taken as n H =3.13 (Rogers duroid 6010) and n B =1 (air), respectively.…”

Section: Results and Simulationmentioning

confidence: 99%

“…These could be based on the quasi-periodic sequence insertion. Furthermore, the introduction of quasi-periodic lattices to photonic crystals offers the prospect to carry out microwave or electromagnetic devices able to store, guide and filter the wave [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Microwave transmission through one-dimensional hybrid quasi-regular (fibonacci and Thue-Morse)/periodic structures

et al. 2013

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Abstract:The transmission properties of hybrid quasi-periodic photonic systems (HQPS) made by the combination of one-dimensional periodic photonic crystals (PPCs) and quasi-periodic photonic crystals (QPCs) were theoretically studied. The hybrid quasi-periodic photonic lattice based on the hetero-structures was built from the Fibonacci and Thue-Morse sequences. We addressed the microwave properties of waves through the one-dimensional symmetric Fibonacci, and Thue-Morse system i.e., a quasi-periodic structure was made up of two different dielectric materials (Rogers and air), in the quarter wavelength condition. It shows that controlling the Fibonacci parameters permits to obtain selective optical filters with the narrow passband and polychromatic stop band filters with varied properties which can be controlled as desired. From the results, we presented the self-similar features of the spectra, and we also presented the fractal process through a return map of the transmission coefficients. We extracted powerfully the band gaps of hybrid quasi-periodic multilayered structures, called "pseudo band gaps", often containing resonant states, which could be considered as a manifestation of numerous defects distributed along the structure. The results of transmittance spectra showed that the cutoff frequency could be manipulated through the thicknesses of the defects and the type of dielectric layers of the system. Taken together, the above two properties provide favorable conditions for the design of an all-microwave intermediate reflector.

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“…They are used as filters, polarizers, radomes and subreflectors in patch antennas. Phenomena of wave scattering become more complicated and interesting if periodicity is distorted [2].…”

Section: Introductionmentioning

confidence: 99%

Shape transformation of wave beams falling on quasiperiodic layered structures

Andreev

Borulko

Drobakhin

et al. 2011

2011 VIII International Conference on Antenna Theory and Techniques

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Bragg structures with distortion of periodicity are considered. Effects of scattering the wave beams falling at oblique angles are theoretically investigated. Methods of characteristic matrices and plane-wave decomposition are used for obtaining angular and spatial distribution of reflected and transmitted wave beams. Magnitudes and phases of scattered fields are analyzed. Phenomena of anomalous behavior of group shifts (decreasing and negative ones) are observed for Bragg structures with different type of periodicity distortions.

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Comparing omnidirectional reflection from periodic and quasiperiodic one-dimensional photonic crystals

Cited by 44 publications

References 25 publications

Omnidirectional reflection from generalized Fibonacci quasicrystals

Omnidirectional reflection from generalized Fibonacci quasicrystals

Microwave transmission through one-dimensional hybrid quasi-regular (fibonacci and Thue-Morse)/periodic structures

Shape transformation of wave beams falling on quasiperiodic layered structures

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