Abstract

We introduce graded photonic quasicrystals and investigate properties of such structures on the example of a Luneburg lens based on a dodecagonal photonic quasicrystal. It is shown that the graded photonic quasicrystal lens has better focusing properties as compared with the graded photonic crystal lens in a frequency range suitable for experimental realization. The proposed graded photonic quasicrystals can be used in optical systems where compact and powerful focusing elements are required.

© 2012 Optical Society of America

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  1. J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
    [CrossRef]
  2. L. H. Gabrielli, J. Cardenas, C. B. Poitras, and M. Lipson, Nat. Photon. 3, 461 (2009).
    [CrossRef]
  3. H.-W. Wang and L.-W. Chen, J. Appl. Phys. 109, 103104 (2011).
    [CrossRef]
  4. J. Hunt, T. Tyler, S. Dhar, Y.-J. Tsai, P. Bowen, S. Larouche, N. M. Jokerst, and D. R. Smith, Opt. Express 20, 1706 (2012).
    [CrossRef]
  5. H. Gao, B. Zhang, S. G. Johnson, and G. Barbastathis, Opt. Express 20, 1617 (2012).
    [CrossRef]
  6. E. Centeno and D. Cassagne, Opt. Lett. 30, 2278 (2005).
    [CrossRef]
  7. E. Centeno, D. Cassagne, and J.-P. Albert, Phys. Rev. B 73, 235119 (2006).
    [CrossRef]
  8. H.-T. Chien and C.-C. Chen, Opt. Express 14, 10759 (2006).
    [CrossRef]
  9. F. Roux and I. De Leon, Phys. Rev. B 74, 113103 (2006).
    [CrossRef]
  10. H. Kurt, E. Colak, O. Cakmak, H. Caglayan, and E. Ozbay, Appl. Phys. Lett. 93, 171108 (2008).
    [CrossRef]
  11. Q. Wu, J. M. Gibbons, and W. Park, Opt. Express 16, 16941 (2008).
    [CrossRef]
  12. B. Vasić, G. Isić, R. Gajić, and K. Hingerl, Opt. Express 18, 20321 (2010).
    [CrossRef]
  13. E. Cassan and K.-V. Do, J. Opt. Soc. Am. B 28, 1905 (2011).
    [CrossRef]
  14. B. Vasić and R. Gajić, J. Appl. Phys. 110, 053103 (2011).
    [CrossRef]
  15. K.-V. Do, X. Le Roux, D. Marris-Morini, L. Vivien, and E. Cassan, Opt. Express 20, 4776 (2012).
    [CrossRef]
  16. X. Zhang, Z. Li, B. Cheng, and D.-Z. Zhang, Opt. Express 15, 1292 (2007).
    [CrossRef]
  17. E. D. Gennaro, C. Miletto, S. Savo, A. Andreone, D. Morello, V. Galdi, G. Castaldi, and V. Pierro, Phys. Rev. B 77, 193104 (2008).
    [CrossRef]
  18. P. N. Dyachenko, N. D. Kundikova, and Y. V. Miklyaev, Phys. Rev. B 79, 233102 (2009).
    [CrossRef]
  19. T. P. Rose, E. D. Gennaro, G. Abbate, and A. Andreone, Phys. Rev. B 84, 125111 (2011).
    [CrossRef]
  20. M. Oxborrow and C. L. Henley, Phys. Rev. B 48, 6966 (1993).
    [CrossRef]
  21. A. Sihvola, Electromagnetic Mixing Formulas and Applications (IEE Publishing, 1999).
  22. R. K. Luneburg, Mathematical Theory of Optics (Brown U. P., 1944).
  23. A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
    [CrossRef]
  24. A. Farjadpour, D. Roundy, A. Rodriguez, M. Ibanescu, P. Bermel, J. D. Joannopoulos, S. G. Johnson, and G. W. Burr, Opt. Lett. 31, 2972 (2006).
    [CrossRef]

2012 (3)

2011 (4)

H.-W. Wang and L.-W. Chen, J. Appl. Phys. 109, 103104 (2011).
[CrossRef]

E. Cassan and K.-V. Do, J. Opt. Soc. Am. B 28, 1905 (2011).
[CrossRef]

B. Vasić and R. Gajić, J. Appl. Phys. 110, 053103 (2011).
[CrossRef]

T. P. Rose, E. D. Gennaro, G. Abbate, and A. Andreone, Phys. Rev. B 84, 125111 (2011).
[CrossRef]

2010 (2)

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

B. Vasić, G. Isić, R. Gajić, and K. Hingerl, Opt. Express 18, 20321 (2010).
[CrossRef]

2009 (3)

P. N. Dyachenko, N. D. Kundikova, and Y. V. Miklyaev, Phys. Rev. B 79, 233102 (2009).
[CrossRef]

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[CrossRef]

L. H. Gabrielli, J. Cardenas, C. B. Poitras, and M. Lipson, Nat. Photon. 3, 461 (2009).
[CrossRef]

2008 (3)

H. Kurt, E. Colak, O. Cakmak, H. Caglayan, and E. Ozbay, Appl. Phys. Lett. 93, 171108 (2008).
[CrossRef]

Q. Wu, J. M. Gibbons, and W. Park, Opt. Express 16, 16941 (2008).
[CrossRef]

E. D. Gennaro, C. Miletto, S. Savo, A. Andreone, D. Morello, V. Galdi, G. Castaldi, and V. Pierro, Phys. Rev. B 77, 193104 (2008).
[CrossRef]

2007 (1)

2006 (4)

2005 (1)

1993 (1)

M. Oxborrow and C. L. Henley, Phys. Rev. B 48, 6966 (1993).
[CrossRef]

Abbate, G.

T. P. Rose, E. D. Gennaro, G. Abbate, and A. Andreone, Phys. Rev. B 84, 125111 (2011).
[CrossRef]

Albert, J.-P.

E. Centeno, D. Cassagne, and J.-P. Albert, Phys. Rev. B 73, 235119 (2006).
[CrossRef]

Andreone, A.

T. P. Rose, E. D. Gennaro, G. Abbate, and A. Andreone, Phys. Rev. B 84, 125111 (2011).
[CrossRef]

E. D. Gennaro, C. Miletto, S. Savo, A. Andreone, D. Morello, V. Galdi, G. Castaldi, and V. Pierro, Phys. Rev. B 77, 193104 (2008).
[CrossRef]

Barbastathis, G.

Bartal, G.

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[CrossRef]

Bermel, P.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

A. Farjadpour, D. Roundy, A. Rodriguez, M. Ibanescu, P. Bermel, J. D. Joannopoulos, S. G. Johnson, and G. W. Burr, Opt. Lett. 31, 2972 (2006).
[CrossRef]

Bowen, P.

Burr, G. W.

Caglayan, H.

H. Kurt, E. Colak, O. Cakmak, H. Caglayan, and E. Ozbay, Appl. Phys. Lett. 93, 171108 (2008).
[CrossRef]

Cakmak, O.

H. Kurt, E. Colak, O. Cakmak, H. Caglayan, and E. Ozbay, Appl. Phys. Lett. 93, 171108 (2008).
[CrossRef]

Cardenas, J.

L. H. Gabrielli, J. Cardenas, C. B. Poitras, and M. Lipson, Nat. Photon. 3, 461 (2009).
[CrossRef]

Cassagne, D.

E. Centeno, D. Cassagne, and J.-P. Albert, Phys. Rev. B 73, 235119 (2006).
[CrossRef]

E. Centeno and D. Cassagne, Opt. Lett. 30, 2278 (2005).
[CrossRef]

Cassan, E.

Castaldi, G.

E. D. Gennaro, C. Miletto, S. Savo, A. Andreone, D. Morello, V. Galdi, G. Castaldi, and V. Pierro, Phys. Rev. B 77, 193104 (2008).
[CrossRef]

Centeno, E.

E. Centeno, D. Cassagne, and J.-P. Albert, Phys. Rev. B 73, 235119 (2006).
[CrossRef]

E. Centeno and D. Cassagne, Opt. Lett. 30, 2278 (2005).
[CrossRef]

Chen, C.-C.

Chen, L.-W.

H.-W. Wang and L.-W. Chen, J. Appl. Phys. 109, 103104 (2011).
[CrossRef]

Cheng, B.

Chien, H.-T.

Colak, E.

H. Kurt, E. Colak, O. Cakmak, H. Caglayan, and E. Ozbay, Appl. Phys. Lett. 93, 171108 (2008).
[CrossRef]

De Leon, I.

F. Roux and I. De Leon, Phys. Rev. B 74, 113103 (2006).
[CrossRef]

Dhar, S.

Do, K.-V.

Dyachenko, P. N.

P. N. Dyachenko, N. D. Kundikova, and Y. V. Miklyaev, Phys. Rev. B 79, 233102 (2009).
[CrossRef]

Farjadpour, A.

Gabrielli, L. H.

L. H. Gabrielli, J. Cardenas, C. B. Poitras, and M. Lipson, Nat. Photon. 3, 461 (2009).
[CrossRef]

Gajic, R.

Galdi, V.

E. D. Gennaro, C. Miletto, S. Savo, A. Andreone, D. Morello, V. Galdi, G. Castaldi, and V. Pierro, Phys. Rev. B 77, 193104 (2008).
[CrossRef]

Gao, H.

Gennaro, E. D.

T. P. Rose, E. D. Gennaro, G. Abbate, and A. Andreone, Phys. Rev. B 84, 125111 (2011).
[CrossRef]

E. D. Gennaro, C. Miletto, S. Savo, A. Andreone, D. Morello, V. Galdi, G. Castaldi, and V. Pierro, Phys. Rev. B 77, 193104 (2008).
[CrossRef]

Gibbons, J. M.

Henley, C. L.

M. Oxborrow and C. L. Henley, Phys. Rev. B 48, 6966 (1993).
[CrossRef]

Hingerl, K.

Hunt, J.

Ibanescu, M.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

A. Farjadpour, D. Roundy, A. Rodriguez, M. Ibanescu, P. Bermel, J. D. Joannopoulos, S. G. Johnson, and G. W. Burr, Opt. Lett. 31, 2972 (2006).
[CrossRef]

Isic, G.

Joannopoulos, J. D.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

A. Farjadpour, D. Roundy, A. Rodriguez, M. Ibanescu, P. Bermel, J. D. Joannopoulos, S. G. Johnson, and G. W. Burr, Opt. Lett. 31, 2972 (2006).
[CrossRef]

Johnson, S. G.

Jokerst, N. M.

Kundikova, N. D.

P. N. Dyachenko, N. D. Kundikova, and Y. V. Miklyaev, Phys. Rev. B 79, 233102 (2009).
[CrossRef]

Kurt, H.

H. Kurt, E. Colak, O. Cakmak, H. Caglayan, and E. Ozbay, Appl. Phys. Lett. 93, 171108 (2008).
[CrossRef]

Larouche, S.

Le Roux, X.

Li, J.

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[CrossRef]

Li, Z.

Lipson, M.

L. H. Gabrielli, J. Cardenas, C. B. Poitras, and M. Lipson, Nat. Photon. 3, 461 (2009).
[CrossRef]

Luneburg, R. K.

R. K. Luneburg, Mathematical Theory of Optics (Brown U. P., 1944).

Marris-Morini, D.

Miklyaev, Y. V.

P. N. Dyachenko, N. D. Kundikova, and Y. V. Miklyaev, Phys. Rev. B 79, 233102 (2009).
[CrossRef]

Miletto, C.

E. D. Gennaro, C. Miletto, S. Savo, A. Andreone, D. Morello, V. Galdi, G. Castaldi, and V. Pierro, Phys. Rev. B 77, 193104 (2008).
[CrossRef]

Morello, D.

E. D. Gennaro, C. Miletto, S. Savo, A. Andreone, D. Morello, V. Galdi, G. Castaldi, and V. Pierro, Phys. Rev. B 77, 193104 (2008).
[CrossRef]

Oskooi, A. F.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Oxborrow, M.

M. Oxborrow and C. L. Henley, Phys. Rev. B 48, 6966 (1993).
[CrossRef]

Ozbay, E.

H. Kurt, E. Colak, O. Cakmak, H. Caglayan, and E. Ozbay, Appl. Phys. Lett. 93, 171108 (2008).
[CrossRef]

Park, W.

Pierro, V.

E. D. Gennaro, C. Miletto, S. Savo, A. Andreone, D. Morello, V. Galdi, G. Castaldi, and V. Pierro, Phys. Rev. B 77, 193104 (2008).
[CrossRef]

Poitras, C. B.

L. H. Gabrielli, J. Cardenas, C. B. Poitras, and M. Lipson, Nat. Photon. 3, 461 (2009).
[CrossRef]

Rodriguez, A.

Rose, T. P.

T. P. Rose, E. D. Gennaro, G. Abbate, and A. Andreone, Phys. Rev. B 84, 125111 (2011).
[CrossRef]

Roundy, D.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

A. Farjadpour, D. Roundy, A. Rodriguez, M. Ibanescu, P. Bermel, J. D. Joannopoulos, S. G. Johnson, and G. W. Burr, Opt. Lett. 31, 2972 (2006).
[CrossRef]

Roux, F.

F. Roux and I. De Leon, Phys. Rev. B 74, 113103 (2006).
[CrossRef]

Savo, S.

E. D. Gennaro, C. Miletto, S. Savo, A. Andreone, D. Morello, V. Galdi, G. Castaldi, and V. Pierro, Phys. Rev. B 77, 193104 (2008).
[CrossRef]

Sihvola, A.

A. Sihvola, Electromagnetic Mixing Formulas and Applications (IEE Publishing, 1999).

Smith, D. R.

Tsai, Y.-J.

Tyler, T.

Valentine, J.

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[CrossRef]

Vasic, B.

Vivien, L.

Wang, H.-W.

H.-W. Wang and L.-W. Chen, J. Appl. Phys. 109, 103104 (2011).
[CrossRef]

Wu, Q.

Zentgraf, T.

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[CrossRef]

Zhang, B.

Zhang, D.-Z.

Zhang, X.

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[CrossRef]

X. Zhang, Z. Li, B. Cheng, and D.-Z. Zhang, Opt. Express 15, 1292 (2007).
[CrossRef]

Appl. Phys. Lett. (1)

H. Kurt, E. Colak, O. Cakmak, H. Caglayan, and E. Ozbay, Appl. Phys. Lett. 93, 171108 (2008).
[CrossRef]

Comput. Phys. Commun. (1)

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

J. Appl. Phys. (2)

H.-W. Wang and L.-W. Chen, J. Appl. Phys. 109, 103104 (2011).
[CrossRef]

B. Vasić and R. Gajić, J. Appl. Phys. 110, 053103 (2011).
[CrossRef]

J. Opt. Soc. Am. B (1)

Nat. Mater. (1)

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[CrossRef]

Nat. Photon. (1)

L. H. Gabrielli, J. Cardenas, C. B. Poitras, and M. Lipson, Nat. Photon. 3, 461 (2009).
[CrossRef]

Opt. Express (7)

Opt. Lett. (2)

Phys. Rev. B (6)

E. Centeno, D. Cassagne, and J.-P. Albert, Phys. Rev. B 73, 235119 (2006).
[CrossRef]

F. Roux and I. De Leon, Phys. Rev. B 74, 113103 (2006).
[CrossRef]

E. D. Gennaro, C. Miletto, S. Savo, A. Andreone, D. Morello, V. Galdi, G. Castaldi, and V. Pierro, Phys. Rev. B 77, 193104 (2008).
[CrossRef]

P. N. Dyachenko, N. D. Kundikova, and Y. V. Miklyaev, Phys. Rev. B 79, 233102 (2009).
[CrossRef]

T. P. Rose, E. D. Gennaro, G. Abbate, and A. Andreone, Phys. Rev. B 84, 125111 (2011).
[CrossRef]

M. Oxborrow and C. L. Henley, Phys. Rev. B 48, 6966 (1993).
[CrossRef]

Other (2)

A. Sihvola, Electromagnetic Mixing Formulas and Applications (IEE Publishing, 1999).

R. K. Luneburg, Mathematical Theory of Optics (Brown U. P., 1944).

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