Abstract

Photonic bandgap structures can also be utilized for the realization of transformational optical devices like metamaterials. In this Letter, the possibility of cylindrical to plane wave source transformation in an open cavity formed by one dimensional photonic crystal is demonstrated. It is observed that the gap solitary wave behavior at the near-bandgap regime is fair enough to produce highly directional plane waves out of the point source placed inside the open cavity. The limitations of such a source transformation device are governed by the strength of the bandgap that decides the amplitude of the emitted plane waves.

© 2011 Optical Society of America

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References

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D. Bao, E. Kallos, W.-X. Tang, C. Argyropoulos, Y. Hao, and T. J. Cui, Front. Phys. China 5, 319 (2010).
[CrossRef]

2009 (4)

2008 (4)

2006 (2)

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
[CrossRef] [PubMed]

1996 (1)

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Allen, J.

Andreone, A.

Argyropoulos, C.

D. Bao, E. Kallos, W.-X. Tang, C. Argyropoulos, Y. Hao, and T. J. Cui, Front. Phys. China 5, 319 (2010).
[CrossRef]

Bao, D.

D. Bao, E. Kallos, W.-X. Tang, C. Argyropoulos, Y. Hao, and T. J. Cui, Front. Phys. China 5, 319 (2010).
[CrossRef]

Bartal, G.

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

Bendickson, J. M.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Bloemer, M. J.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Bowden, C. M.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Cheng, Q.

W. X. Jiang, T. J. Cui, H. F. Ma, X. Y. Zhou, and Q. Cheng, Appl. Phys. Lett. 92, 261903 (2008).
[CrossRef]

Cui, J.

Cui, T. J.

D. Bao, E. Kallos, W.-X. Tang, C. Argyropoulos, Y. Hao, and T. J. Cui, Front. Phys. China 5, 319 (2010).
[CrossRef]

W. X. Jiang, T. J. Cui, H. F. Ma, X. Y. Zhou, and Q. Cheng, Appl. Phys. Lett. 92, 261903 (2008).
[CrossRef]

T. J. Cui, D. R. Smith, and R. Liu, in Metamaterials: Theory, Design, and Applications, W.X.Jiang and T.J.Cui, eds. (Springer, 2010), pp. 21–48.

Cummer, S.

Cummer, S. A.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
[CrossRef] [PubMed]

Dowling, J. P.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Du, C.

Flynn, R. J.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Fork, R. L.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Gennaro, E. D.

Hao, Y.

D. Bao, E. Kallos, W.-X. Tang, C. Argyropoulos, Y. Hao, and T. J. Cui, Front. Phys. China 5, 319 (2010).
[CrossRef]

He, S.

Jiang, W. X.

W. X. Jiang, T. J. Cui, H. F. Ma, X. Y. Zhou, and Q. Cheng, Appl. Phys. Lett. 92, 261903 (2008).
[CrossRef]

Jiang, Z. H.

Justice, B. J.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
[CrossRef] [PubMed]

Kallos, E.

D. Bao, E. Kallos, W.-X. Tang, C. Argyropoulos, Y. Hao, and T. J. Cui, Front. Phys. China 5, 319 (2010).
[CrossRef]

Kundtz, N.

Leavitt, R. P.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Ledbetter, H. S.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Li, J.

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

Lin, L.

Liu, R.

T. J. Cui, D. R. Smith, and R. Liu, in Metamaterials: Theory, Design, and Applications, W.X.Jiang and T.J.Cui, eds. (Springer, 2010), pp. 21–48.

Ma, H.

Ma, H. F.

W. X. Jiang, T. J. Cui, H. F. Ma, X. Y. Zhou, and Q. Cheng, Appl. Phys. Lett. 92, 261903 (2008).
[CrossRef]

Ma, J.

Massoud, A. T.

Mock, J. J.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
[CrossRef] [PubMed]

Pendry, J. B.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

Qu, S.

Reinhardt, S. B.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Roberts, D. A.

Savo, S.

Scalora, M.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Schurig, D.

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
[CrossRef] [PubMed]

Shen, L.

Smith, D. R.

N. Kundtz, D. A. Roberts, J. Allen, S. Cummer, and D. R. Smith, Opt. Express 16, 21215 (2008).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

T. J. Cui, D. R. Smith, and R. Liu, in Metamaterials: Theory, Design, and Applications, W.X.Jiang and T.J.Cui, eds. (Springer, 2010), pp. 21–48.

Soukoulis, C. M.

C. M. Soukoulis, in Photonic Band Gap Materials, S.Johns, ed. (Kluwer, 1996), pp. 563–666.

Starr, A. F.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
[CrossRef] [PubMed]

Tang, W.-X.

D. Bao, E. Kallos, W.-X. Tang, C. Argyropoulos, Y. Hao, and T. J. Cui, Front. Phys. China 5, 319 (2010).
[CrossRef]

Tocci, M. D.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Turpin, J. P.

Valentine, J.

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

Wang, B.

Wang, C.

Wang, J.

Wang, W.

Werner, D. H.

Werner, P. L.

Xu, Z.

Zentgraf, T.

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

Zhang, X.

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

Zhou, X. Y.

W. X. Jiang, T. J. Cui, H. F. Ma, X. Y. Zhou, and Q. Cheng, Appl. Phys. Lett. 92, 261903 (2008).
[CrossRef]

Appl. Phys. Lett. (1)

W. X. Jiang, T. J. Cui, H. F. Ma, X. Y. Zhou, and Q. Cheng, Appl. Phys. Lett. 92, 261903 (2008).
[CrossRef]

Front. Phys. China (1)

D. Bao, E. Kallos, W.-X. Tang, C. Argyropoulos, Y. Hao, and T. J. Cui, Front. Phys. China 5, 319 (2010).
[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] [PubMed]

Opt. Express (4)

Opt. Lett. (1)

Phys. Rev. E (1)

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, Phys. Rev. E 54, R1078 (1996).
[CrossRef]

Science (2)

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
[CrossRef] [PubMed]

Other (3)

T. J. Cui, D. R. Smith, and R. Liu, in Metamaterials: Theory, Design, and Applications, W.X.Jiang and T.J.Cui, eds. (Springer, 2010), pp. 21–48.

C. M. Soukoulis, in Photonic Band Gap Materials, S.Johns, ed. (Kluwer, 1996), pp. 563–666.

URL: http://www.comsol.com.

Supplementary Material (2)

» Media 1: JPG (849 KB)     
» Media 2: JPG (1098 KB)     

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Figures (5)

Fig. 1
Fig. 1

(a) In-plane band structure, (b) density of states plot. The PC geometry is given in the inset.

Fig. 2
Fig. 2

(a)–(c)  E z field maps at near-bandgap regime for the frequencies 10.2, 10.66, and 10.725 GHz , respectively; (d)–(f) the corresponding E z field profiles.

Fig. 3
Fig. 3

Formation of open cavity by 1D PC.

Fig. 4
Fig. 4

(a)–(c)  E z field patterns at the frequencies 10.2, 10.66, and 10.725 GHz (Media 1), respectively, for the point source at the center of the cavity; (d) the norm of electric field plot at 10.2 GHz (Media 2). Few of the contours are drawn to indicate the emitted plane waves. (e) The amplitude profile of the emitted plane wave at 10.66 GHz , (f) the scanned power outflow around the cavity for the case of 10.66 GHz .

Fig. 5
Fig. 5

E z field map shows source transformation for other symmetries. (a) The three beam transformation at 10.675 GHz , (b) the four beam transformation at 10.65 GHz ,(c) the eight beam transformation at 10.675 GHz .

Metrics