Abstract

We studied the waveguiding properties of a photonic quasicrystal based on an octagonal tiling. The structure exhibits intrinsic localisation in the band gap region, that can be exploited to manipulate the signal transmission through a linear defect. The electromagnetic characteristics are first numerically analysed using a full wave simulation and then experimentally verified by measurements carried out in the X-band microwave region. Possible photonic applications include tunable notch filters having large attenuation.

© 2012 OSA

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  1. A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with Penrose-type lattice,” Phys. Rev. Lett.94, 183903 (2005).
    [CrossRef] [PubMed]
  2. Y. Wang, Y. Wang, S. Feng, and Z.-Y. Li, “The effect of short-range and long-range orientational orders on the transmission properties of quasiperiodic photonic crystals,” Europhys. Lett.74, 49–54 (2006).
    [CrossRef]
  3. C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett.75, 1848–1850 (1999).
    [CrossRef]
  4. M. Zoorob, P. G. Charlton, M. D. B, J. Baumberg, and M. Netti, “Complete and absolute photonic bandgaps in highly symmetric photonic quasicrystals embedded in low refractive index materials,” Mat. Sci. Eng. B74, 168–174 (2000).
    [CrossRef]
  5. M. Florescu, S. Torquato, and P. J. Steinhardt, “Complete band gaps in two-dimensional photonic quasicrystals,” Phys. Rev. B80, 155112 (2009).
    [CrossRef]
  6. T. PriyaRose, E. Di Gennaro, G. Abbate, and A. Andreone, “Isotropic properties of the photonic band gap in quasicrystals with low-index contrast,” Phys. Rev. B84, 125111 (2011).
    [CrossRef]
  7. A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with penrose-type lattice,” Opt. Express14, 10021–10027 (2006).
    [CrossRef] [PubMed]
  8. Y. Neve-Oz, T. Pollok, S. Burger, M. Golosovsky, and D. Davidov, “Resonant transmission of electromagnetic waves through two-dimensional photonic quasicrystals,” J. Appl. Phys.107, 063105 (2010).
    [CrossRef]
  9. Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal quasiperiodic photonic crystals,” Phys. Rev. B.68, 165106 (2003).
    [CrossRef]
  10. G. Zito, T. Priya Rose, E. Di Gennaro, A. Andreone, E. Santamato, and G. Abbate, “Bandgap properties of low-index contrast aperiodically ordered photonic quasicrystals,” Microw. Opt. Technol. Lett.51, 2732–2737 (2009).
    [CrossRef]
  11. Simulation software package developed at MIT, ( http://ab-initio.mit.edu/wiki/index.php/Meep ).
  12. Harminv, (cfr. http://ab-initio.mit.edu/wiki/index.php/Harminv ).
  13. See for example the 6th chapter of “Photonic Crystals: Molding the Flow of Light,” John D. Joannopoulos, Robert D. Meade, and Joshua N. Winnfree (Princeton University Press, 2008)
  14. S. Savo, E. Di Gennaro, and A. Andreone, “Superlensing properties of one-dimensional dielectric photonic crystals,” Opt. Express17, 19848–19856 (2009).
    [CrossRef] [PubMed]
  15. S. Fan, P. Villeneuve, J. Joannopoulos, and H. Haus, “Channel drop filters in photonic crystals,” Opt. Express3, 4–11 (1998).
    [CrossRef] [PubMed]
  16. J. Romero-Vivas, D. Chigrin, A. Lavrinenko, and C. S. Torres, “Resonant add-drop filter based on a photonic quasicrystal,” Opt. Express13, 826–835 (2005).
    [CrossRef] [PubMed]

2011 (1)

T. PriyaRose, E. Di Gennaro, G. Abbate, and A. Andreone, “Isotropic properties of the photonic band gap in quasicrystals with low-index contrast,” Phys. Rev. B84, 125111 (2011).
[CrossRef]

2010 (1)

Y. Neve-Oz, T. Pollok, S. Burger, M. Golosovsky, and D. Davidov, “Resonant transmission of electromagnetic waves through two-dimensional photonic quasicrystals,” J. Appl. Phys.107, 063105 (2010).
[CrossRef]

2009 (3)

G. Zito, T. Priya Rose, E. Di Gennaro, A. Andreone, E. Santamato, and G. Abbate, “Bandgap properties of low-index contrast aperiodically ordered photonic quasicrystals,” Microw. Opt. Technol. Lett.51, 2732–2737 (2009).
[CrossRef]

M. Florescu, S. Torquato, and P. J. Steinhardt, “Complete band gaps in two-dimensional photonic quasicrystals,” Phys. Rev. B80, 155112 (2009).
[CrossRef]

S. Savo, E. Di Gennaro, and A. Andreone, “Superlensing properties of one-dimensional dielectric photonic crystals,” Opt. Express17, 19848–19856 (2009).
[CrossRef] [PubMed]

2006 (2)

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with penrose-type lattice,” Opt. Express14, 10021–10027 (2006).
[CrossRef] [PubMed]

Y. Wang, Y. Wang, S. Feng, and Z.-Y. Li, “The effect of short-range and long-range orientational orders on the transmission properties of quasiperiodic photonic crystals,” Europhys. Lett.74, 49–54 (2006).
[CrossRef]

2005 (2)

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with Penrose-type lattice,” Phys. Rev. Lett.94, 183903 (2005).
[CrossRef] [PubMed]

J. Romero-Vivas, D. Chigrin, A. Lavrinenko, and C. S. Torres, “Resonant add-drop filter based on a photonic quasicrystal,” Opt. Express13, 826–835 (2005).
[CrossRef] [PubMed]

2003 (1)

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal quasiperiodic photonic crystals,” Phys. Rev. B.68, 165106 (2003).
[CrossRef]

2000 (1)

M. Zoorob, P. G. Charlton, M. D. B, J. Baumberg, and M. Netti, “Complete and absolute photonic bandgaps in highly symmetric photonic quasicrystals embedded in low refractive index materials,” Mat. Sci. Eng. B74, 168–174 (2000).
[CrossRef]

1999 (1)

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett.75, 1848–1850 (1999).
[CrossRef]

1998 (1)

Abbate, G.

T. PriyaRose, E. Di Gennaro, G. Abbate, and A. Andreone, “Isotropic properties of the photonic band gap in quasicrystals with low-index contrast,” Phys. Rev. B84, 125111 (2011).
[CrossRef]

G. Zito, T. Priya Rose, E. Di Gennaro, A. Andreone, E. Santamato, and G. Abbate, “Bandgap properties of low-index contrast aperiodically ordered photonic quasicrystals,” Microw. Opt. Technol. Lett.51, 2732–2737 (2009).
[CrossRef]

Andreone, A.

T. PriyaRose, E. Di Gennaro, G. Abbate, and A. Andreone, “Isotropic properties of the photonic band gap in quasicrystals with low-index contrast,” Phys. Rev. B84, 125111 (2011).
[CrossRef]

G. Zito, T. Priya Rose, E. Di Gennaro, A. Andreone, E. Santamato, and G. Abbate, “Bandgap properties of low-index contrast aperiodically ordered photonic quasicrystals,” Microw. Opt. Technol. Lett.51, 2732–2737 (2009).
[CrossRef]

S. Savo, E. Di Gennaro, and A. Andreone, “Superlensing properties of one-dimensional dielectric photonic crystals,” Opt. Express17, 19848–19856 (2009).
[CrossRef] [PubMed]

B, M. D.

M. Zoorob, P. G. Charlton, M. D. B, J. Baumberg, and M. Netti, “Complete and absolute photonic bandgaps in highly symmetric photonic quasicrystals embedded in low refractive index materials,” Mat. Sci. Eng. B74, 168–174 (2000).
[CrossRef]

Ban, S.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett.75, 1848–1850 (1999).
[CrossRef]

Baumberg, J.

M. Zoorob, P. G. Charlton, M. D. B, J. Baumberg, and M. Netti, “Complete and absolute photonic bandgaps in highly symmetric photonic quasicrystals embedded in low refractive index materials,” Mat. Sci. Eng. B74, 168–174 (2000).
[CrossRef]

Burger, S.

Y. Neve-Oz, T. Pollok, S. Burger, M. Golosovsky, and D. Davidov, “Resonant transmission of electromagnetic waves through two-dimensional photonic quasicrystals,” J. Appl. Phys.107, 063105 (2010).
[CrossRef]

Capolino, F.

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with penrose-type lattice,” Opt. Express14, 10021–10027 (2006).
[CrossRef] [PubMed]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with Penrose-type lattice,” Phys. Rev. Lett.94, 183903 (2005).
[CrossRef] [PubMed]

Charlton, P. G.

M. Zoorob, P. G. Charlton, M. D. B, J. Baumberg, and M. Netti, “Complete and absolute photonic bandgaps in highly symmetric photonic quasicrystals embedded in low refractive index materials,” Mat. Sci. Eng. B74, 168–174 (2000).
[CrossRef]

Cheng, B.

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal quasiperiodic photonic crystals,” Phys. Rev. B.68, 165106 (2003).
[CrossRef]

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett.75, 1848–1850 (1999).
[CrossRef]

Chigrin, D.

Davidov, D.

Y. Neve-Oz, T. Pollok, S. Burger, M. Golosovsky, and D. Davidov, “Resonant transmission of electromagnetic waves through two-dimensional photonic quasicrystals,” J. Appl. Phys.107, 063105 (2010).
[CrossRef]

Della Villa, A.

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with penrose-type lattice,” Opt. Express14, 10021–10027 (2006).
[CrossRef] [PubMed]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with Penrose-type lattice,” Phys. Rev. Lett.94, 183903 (2005).
[CrossRef] [PubMed]

Di Gennaro, E.

T. PriyaRose, E. Di Gennaro, G. Abbate, and A. Andreone, “Isotropic properties of the photonic band gap in quasicrystals with low-index contrast,” Phys. Rev. B84, 125111 (2011).
[CrossRef]

G. Zito, T. Priya Rose, E. Di Gennaro, A. Andreone, E. Santamato, and G. Abbate, “Bandgap properties of low-index contrast aperiodically ordered photonic quasicrystals,” Microw. Opt. Technol. Lett.51, 2732–2737 (2009).
[CrossRef]

S. Savo, E. Di Gennaro, and A. Andreone, “Superlensing properties of one-dimensional dielectric photonic crystals,” Opt. Express17, 19848–19856 (2009).
[CrossRef] [PubMed]

Enoch, S.

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with penrose-type lattice,” Opt. Express14, 10021–10027 (2006).
[CrossRef] [PubMed]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with Penrose-type lattice,” Phys. Rev. Lett.94, 183903 (2005).
[CrossRef] [PubMed]

Fan, S.

Feng, S.

Y. Wang, Y. Wang, S. Feng, and Z.-Y. Li, “The effect of short-range and long-range orientational orders on the transmission properties of quasiperiodic photonic crystals,” Europhys. Lett.74, 49–54 (2006).
[CrossRef]

Florescu, M.

M. Florescu, S. Torquato, and P. J. Steinhardt, “Complete band gaps in two-dimensional photonic quasicrystals,” Phys. Rev. B80, 155112 (2009).
[CrossRef]

Galdi, V.

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with penrose-type lattice,” Opt. Express14, 10021–10027 (2006).
[CrossRef] [PubMed]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with Penrose-type lattice,” Phys. Rev. Lett.94, 183903 (2005).
[CrossRef] [PubMed]

Golosovsky, M.

Y. Neve-Oz, T. Pollok, S. Burger, M. Golosovsky, and D. Davidov, “Resonant transmission of electromagnetic waves through two-dimensional photonic quasicrystals,” J. Appl. Phys.107, 063105 (2010).
[CrossRef]

Haus, H.

Hu, X.

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal quasiperiodic photonic crystals,” Phys. Rev. B.68, 165106 (2003).
[CrossRef]

Jin, C.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett.75, 1848–1850 (1999).
[CrossRef]

Joannopoulos, J.

Lavrinenko, A.

Li, Z.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett.75, 1848–1850 (1999).
[CrossRef]

Li, Z.-Y.

Y. Wang, Y. Wang, S. Feng, and Z.-Y. Li, “The effect of short-range and long-range orientational orders on the transmission properties of quasiperiodic photonic crystals,” Europhys. Lett.74, 49–54 (2006).
[CrossRef]

Man, B.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett.75, 1848–1850 (1999).
[CrossRef]

Netti, M.

M. Zoorob, P. G. Charlton, M. D. B, J. Baumberg, and M. Netti, “Complete and absolute photonic bandgaps in highly symmetric photonic quasicrystals embedded in low refractive index materials,” Mat. Sci. Eng. B74, 168–174 (2000).
[CrossRef]

Neve-Oz, Y.

Y. Neve-Oz, T. Pollok, S. Burger, M. Golosovsky, and D. Davidov, “Resonant transmission of electromagnetic waves through two-dimensional photonic quasicrystals,” J. Appl. Phys.107, 063105 (2010).
[CrossRef]

Pierro, V.

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with penrose-type lattice,” Opt. Express14, 10021–10027 (2006).
[CrossRef] [PubMed]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with Penrose-type lattice,” Phys. Rev. Lett.94, 183903 (2005).
[CrossRef] [PubMed]

Pollok, T.

Y. Neve-Oz, T. Pollok, S. Burger, M. Golosovsky, and D. Davidov, “Resonant transmission of electromagnetic waves through two-dimensional photonic quasicrystals,” J. Appl. Phys.107, 063105 (2010).
[CrossRef]

Priya Rose, T.

G. Zito, T. Priya Rose, E. Di Gennaro, A. Andreone, E. Santamato, and G. Abbate, “Bandgap properties of low-index contrast aperiodically ordered photonic quasicrystals,” Microw. Opt. Technol. Lett.51, 2732–2737 (2009).
[CrossRef]

PriyaRose, T.

T. PriyaRose, E. Di Gennaro, G. Abbate, and A. Andreone, “Isotropic properties of the photonic band gap in quasicrystals with low-index contrast,” Phys. Rev. B84, 125111 (2011).
[CrossRef]

Romero-Vivas, J.

Santamato, E.

G. Zito, T. Priya Rose, E. Di Gennaro, A. Andreone, E. Santamato, and G. Abbate, “Bandgap properties of low-index contrast aperiodically ordered photonic quasicrystals,” Microw. Opt. Technol. Lett.51, 2732–2737 (2009).
[CrossRef]

Savo, S.

Steinhardt, P. J.

M. Florescu, S. Torquato, and P. J. Steinhardt, “Complete band gaps in two-dimensional photonic quasicrystals,” Phys. Rev. B80, 155112 (2009).
[CrossRef]

Sun, B.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett.75, 1848–1850 (1999).
[CrossRef]

Tayeb, G.

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with penrose-type lattice,” Opt. Express14, 10021–10027 (2006).
[CrossRef] [PubMed]

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with Penrose-type lattice,” Phys. Rev. Lett.94, 183903 (2005).
[CrossRef] [PubMed]

Torquato, S.

M. Florescu, S. Torquato, and P. J. Steinhardt, “Complete band gaps in two-dimensional photonic quasicrystals,” Phys. Rev. B80, 155112 (2009).
[CrossRef]

Torres, C. S.

Villeneuve, P.

Wang, Y.

Y. Wang, Y. Wang, S. Feng, and Z.-Y. Li, “The effect of short-range and long-range orientational orders on the transmission properties of quasiperiodic photonic crystals,” Europhys. Lett.74, 49–54 (2006).
[CrossRef]

Y. Wang, Y. Wang, S. Feng, and Z.-Y. Li, “The effect of short-range and long-range orientational orders on the transmission properties of quasiperiodic photonic crystals,” Europhys. Lett.74, 49–54 (2006).
[CrossRef]

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal quasiperiodic photonic crystals,” Phys. Rev. B.68, 165106 (2003).
[CrossRef]

Xu, X.

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal quasiperiodic photonic crystals,” Phys. Rev. B.68, 165106 (2003).
[CrossRef]

Zhang, D.

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal quasiperiodic photonic crystals,” Phys. Rev. B.68, 165106 (2003).
[CrossRef]

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett.75, 1848–1850 (1999).
[CrossRef]

Zito, G.

G. Zito, T. Priya Rose, E. Di Gennaro, A. Andreone, E. Santamato, and G. Abbate, “Bandgap properties of low-index contrast aperiodically ordered photonic quasicrystals,” Microw. Opt. Technol. Lett.51, 2732–2737 (2009).
[CrossRef]

Zoorob, M.

M. Zoorob, P. G. Charlton, M. D. B, J. Baumberg, and M. Netti, “Complete and absolute photonic bandgaps in highly symmetric photonic quasicrystals embedded in low refractive index materials,” Mat. Sci. Eng. B74, 168–174 (2000).
[CrossRef]

Appl. Phys. Lett. (1)

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett.75, 1848–1850 (1999).
[CrossRef]

Europhys. Lett. (1)

Y. Wang, Y. Wang, S. Feng, and Z.-Y. Li, “The effect of short-range and long-range orientational orders on the transmission properties of quasiperiodic photonic crystals,” Europhys. Lett.74, 49–54 (2006).
[CrossRef]

J. Appl. Phys. (1)

Y. Neve-Oz, T. Pollok, S. Burger, M. Golosovsky, and D. Davidov, “Resonant transmission of electromagnetic waves through two-dimensional photonic quasicrystals,” J. Appl. Phys.107, 063105 (2010).
[CrossRef]

Mat. Sci. Eng. B (1)

M. Zoorob, P. G. Charlton, M. D. B, J. Baumberg, and M. Netti, “Complete and absolute photonic bandgaps in highly symmetric photonic quasicrystals embedded in low refractive index materials,” Mat. Sci. Eng. B74, 168–174 (2000).
[CrossRef]

Microw. Opt. Technol. Lett. (1)

G. Zito, T. Priya Rose, E. Di Gennaro, A. Andreone, E. Santamato, and G. Abbate, “Bandgap properties of low-index contrast aperiodically ordered photonic quasicrystals,” Microw. Opt. Technol. Lett.51, 2732–2737 (2009).
[CrossRef]

Opt. Express (4)

Phys. Rev. B (2)

M. Florescu, S. Torquato, and P. J. Steinhardt, “Complete band gaps in two-dimensional photonic quasicrystals,” Phys. Rev. B80, 155112 (2009).
[CrossRef]

T. PriyaRose, E. Di Gennaro, G. Abbate, and A. Andreone, “Isotropic properties of the photonic band gap in quasicrystals with low-index contrast,” Phys. Rev. B84, 125111 (2011).
[CrossRef]

Phys. Rev. B. (1)

Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, “Localized modes in defect-free dodecagonal quasiperiodic photonic crystals,” Phys. Rev. B.68, 165106 (2003).
[CrossRef]

Phys. Rev. Lett. (1)

A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, “Localized modes in photonic quasicrystals with Penrose-type lattice,” Phys. Rev. Lett.94, 183903 (2005).
[CrossRef] [PubMed]

Other (3)

Simulation software package developed at MIT, ( http://ab-initio.mit.edu/wiki/index.php/Meep ).

Harminv, (cfr. http://ab-initio.mit.edu/wiki/index.php/Harminv ).

See for example the 6th chapter of “Photonic Crystals: Molding the Flow of Light,” John D. Joannopoulos, Robert D. Meade, and Joshua N. Winnfree (Princeton University Press, 2008)

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Figures (4)

Fig. 1
Fig. 1

8-fold quasicrystalline finite structure. Continuous line represents the current source of the incoming collimated beam, whereas dashed line is the field intensity monitor.

Fig. 2
Fig. 2

Simulated transmission properties of the PQC full structure (FS, full line), with a linear defect (OC, dashed line), and with a linear defect and central pillar (CP, dotted line).

Fig. 3
Fig. 3

Electric field z-component spatial maps for the OC sample (a) and the CP sample (b) at the normalised frequency 0.335 where the localised mode occurs.

Fig. 4
Fig. 4

(a): Transmission properties of the PQC full structure (FS), with a linear defect (OC), and with a linear defect and central pillar (CP). (b): Electric field intensity spatial profile along the linear waveguide for the OC sample and the CP sample at the localised mode frequency 10.06GHz. The gray patterned area indicates the region along the x-axis occupied by the quasicristalline structure. In the inset a top view of the experimental setup. Red arrows indicate the position of the two monopole antennas.

Equations (1)

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I ( r ) = l = 1 8 m = 1 8 A l A m * exp [ i ( k l k m ) r + i ( ϕ l ϕ m ) ]

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