Multiband negative refraction in one-dimensional photonic crystals

doi:10.1364/OE.17.003036

Multiband negative refraction in one-dimensional photonic crystals

J. E. Lugo, B. de la Mora, R. Doti, R. Nava, J. Tagueña, A. del Rio, and J. Faubert »View Author Affiliations

Optics Express, Vol. 17, Issue 5, pp. 3036-3041 (2009)
http://dx.doi.org/10.1364/OE.17.003036

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Abstract

This study proposed and experimentally demonstrated a cost-efficient scheme that can deliver 60 GHz millimeter-wave (mm-wave) multi-gigabit wireless services over 125 km long-reach passive optical networks (PONs) without any dispersion compensation. By introducing a remote local exchange (LE) stage with robust signal regeneration and all-optical upconversion functionalities, the proposed long-reach optical-wireless access network can easily accommodate over 128 users with 2.5 Gb/s shared bandwidth as well as shifting the capital expenditure of multiple hybrid optical network units (ONUs) toward single LE headend. Experimental verification shows that the power penalties for wireless and wired services are 1.8 dB and 0.4 dB at 10^-9 BER after 125 km optical fiber transmission.

OCIS Codes
(080.3630) Geometric optics : Lenses
(120.2440) Instrumentation, measurement, and metrology : Filters
(260.2110) Physical optics : Electromagnetic optics
(160.4236) Materials : Nanomaterials
(160.5298) Materials : Photonic crystals

ToC Category:
Photonic Crystals

History
Original Manuscript: December 18, 2008
Revised Manuscript: February 7, 2009
Manuscript Accepted: February 9, 2009
Published: February 13, 2009

Citation
J. E. Lugo, B. de la Mora, R. Doti, R. Nava, J. Tagueña, A. del Rio, and J. Faubert, "Multiband negative refraction in one-dimensional photonic crystals," Opt. Express 17, 3036-3041 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-5-3036

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References

V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of permittivity and permeability," Sov. Phys. USPEKHI 10, 509 (1968). [CrossRef]
J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3999 (2000). [CrossRef]
D. F. Sievenpiper, M. E. Sickmiller, and E. Yablonovitch, "3D wire mesh photonic crystals," Phys. Rev. Lett. 76, 2480-2483 (1996). [CrossRef]
A. V. Kavokin, G. Malpuech, and I. Shelykh, "Negative refraction of light in Bragg mirrors made of porous silicon," Phys. Lett. A 339, 387-392 (2005). [CrossRef]
V. M. Agranovich, Y. R. Shen, R. H. Baughman, and A. A. Zakhidov,"Linear and non linear wave propagation in negative refraction metamaterials," Phys. Rev. B 69, 165112 (2004). [CrossRef]
P. V. Parimi, W. T. Lu, P. Vodo, J. Sokolo, J. S. Derov, and S. Sridhar, "Negative refraction in 1D photonic crystals," Phys. Rev. Lett. 92, 127401 (2004). [CrossRef]
H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096 (1998).
E. Cubukcu, K. Aydin, E. Ozbay, and S. Soukoulis, "Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens," Phys. Rev. Lett. 91, 207401 (2003). [CrossRef]
C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry,"Subwavelength imaging in photonic crystals," Phys. Rev. B. 68, 045115 (2003). [CrossRef]
H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamura, T. Sato, and S. Kawakami, "Self-collimating phenomensa in photonic crystal," Appl. Phys. Lett. 74, 1212 (1999). [CrossRef]
E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Negative refraction by photonic crystals," Nature 423, 604 (2003).
P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, "Photonic crystals: Imaging by flat lens using negative refraction," Nature 426, 404 (2003).
A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative Refraction at Infrared Wavelengths in a Two-Dimensional Photonic Crystal," Phys. Rev. Lett. 93, 073902 (2004).
E. Schonbrun, Q. Wu, W. Park, T. Yamashita, C. J. Summers, M. Abashin, and Y. Fainman, "Wave front evolution of negatively refracted waves in a photonic crystal," Appl. Phys. Lett. 90, 041113 (2007).
R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal, " Phys. Rev. B 71085106 (2005).
C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Negative refraction without negative index in metallic photonic crystals," Opt. Express 11, 746 (2003).
S. Foteinopoulou and C. M. Soukoulis, "Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects," Phys.Rev. B 72,165112 (2005).
C. Yuan Yuan, H. Z. Ming, S. J. Long, L. C. Fang, and Q. Wang, "Frequency bands of negative refraction in finite one-dimensional photonic crystals," Chin. Phys. 16, 173 (2007).
P. Vodo, P. V. Parimi, W. T. Lu, S. Sridhar, and R. Wing, "Microwave photonic crystal with tailor made negative refractive index," Appl. Phys. Lett. 85, 1858 (2004).
Z. Feng, X. Zhang, Y. Wang, Z. Y. Li, B. Cheng, and D. Z. Zhang, "Negative Refraction and Imaging Using 12-fold-Symmetry Quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).
M. Notomi, "Negative refraction in photonic crystals," Opt. Quantum Electron. 34, 133 (2002).
G. Boedecker and C. Henkel, "All-frequency effective medium theory of a photonic crystal," Opt. Express 11, 1590 (2003).
R. Srivastava, B. K. Thapa, S. Pati, and S.P. Ojha, "Negative refraction in 1D photonic crystals," Solid State Commun. 147, 157-160 (2008).
J. Yao, Z. Liu, Y. Liu,Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, "Optical Negative Refraction in Bulk Metamaterials of Nanowires," Science 321, 930 (2008).
R. Nava, M. B. de la Mora, J. Tagüeña-Martínez, and J. A. del Río, "Refractive index contrast in porous silicon multilayers," Phys. Status Solidi A (To be published).
L. Pavesi,"Porous silicon dielectric multilayers and microcavities," La Rivista del Nuovo Cimento 20, 1 (1997).
W. Q. Zhang and F. Yang, "Negative refraction at various crystal interfaces," Opt. Commun. 281, 3081-3086 (2008).
S. Foteinopoulou, E. N. Economou, and C. M. Soukoulis, "Refraction in Media with a Negative Refractive Index," Phys. Rev. Lett. 90, 107402 (2003).

Abashin, M.
Agranovich, V. M.
Anand, S.
Aydin, K.
Bartal, G.
Baughman, R. H.
Berrier, A.
Boedecker, G.
Cheng, B.
Cubukcu, E.
de la Mora, M. B.
del Río, J. A.
Derov, J. S.
Economou, E. N.
Fainman, Y.
Fang, L. C.
Feng, Z.
Foteinopoulou, S.
Guven, K.
Henkel, C.
Joannopoulos, J. D.
Johnson, S. G.
Kavokin, A. V.
Kawakami, S.
Kawashima, T.
Kosaka, H.
Li, Z. Y.
Liu, Y.
Liu, Z.
Long, S. J.
Lu, W. T.
Luo, C.
Malpuech, G.
Ming, H. Z.
Moussa, R.
Mulot, M.
Nava, R.
Notomi, M.
Ojha, S.P.
Ozbay, E.
Parimi, P. V.
Park, W.
Pati, S.
Pavesi, L.
Pendry, J. B.
Qiu, M.
Sato, T.
Schonbrun, E.
Shelykh, I.
Shen, Y. R.
Sickmiller, M. E.
Sievenpiper, D. F.
Sokolo, J.
Soukoulis, C. M.
Soukoulis, S.
Sridhar, S.
Srivastava, R.
Stacy, A. M.
Summers, C. J.
Sun, C.
Swillo, M.
Tagüeña-Martínez, J.
Talneau, A.
Tamamura, T.
Tamura, T.
Thapa, B. K.
Thylén, L.
Tomita, A.
Tuttle, G.
Veselago, V. G.
Vodo, P.
Wang, Q.
Wang, Y.
Wing, R.
Wu, Q.
Yablonovitch, E.
Yamashita, T.
Yang, F.
Yao, J.
Yuan Yuan, C.
Zakhidov, A. A.
Zhang, D. Z.
Zhang, L.
Zhang, W. Q.
Zhang, X.

Appl. Phys. Lett.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamura, T. Sato, and S. Kawakami, "Self-collimating phenomensa in photonic crystal," Appl. Phys. Lett. 74, 1212 (1999). [CrossRef]
E. Schonbrun, Q. Wu, W. Park, T. Yamashita, C. J. Summers, M. Abashin, and Y. Fainman, "Wave front evolution of negatively refracted waves in a photonic crystal," Appl. Phys. Lett. 90, 041113 (2007).
P. Vodo, P. V. Parimi, W. T. Lu, S. Sridhar, and R. Wing, "Microwave photonic crystal with tailor made negative refractive index," Appl. Phys. Lett. 85, 1858 (2004).

Chin. Phys.

C. Yuan Yuan, H. Z. Ming, S. J. Long, L. C. Fang, and Q. Wang, "Frequency bands of negative refraction in finite one-dimensional photonic crystals," Chin. Phys. 16, 173 (2007).

La Rivista del Nuovo Cimento

L. Pavesi,"Porous silicon dielectric multilayers and microcavities," La Rivista del Nuovo Cimento 20, 1 (1997).

Nature

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Negative refraction by photonic crystals," Nature 423, 604 (2003).
P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, "Photonic crystals: Imaging by flat lens using negative refraction," Nature 426, 404 (2003).

Opt. Commun.

W. Q. Zhang and F. Yang, "Negative refraction at various crystal interfaces," Opt. Commun. 281, 3081-3086 (2008).

Opt. Express

Opt. Quantum Electron.

M. Notomi, "Negative refraction in photonic crystals," Opt. Quantum Electron. 34, 133 (2002).

Phys. Lett. A

A. V. Kavokin, G. Malpuech, and I. Shelykh, "Negative refraction of light in Bragg mirrors made of porous silicon," Phys. Lett. A 339, 387-392 (2005). [CrossRef]

Phys. Rev. B

V. M. Agranovich, Y. R. Shen, R. H. Baughman, and A. A. Zakhidov,"Linear and non linear wave propagation in negative refraction metamaterials," Phys. Rev. B 69, 165112 (2004). [CrossRef]
H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096 (1998).
R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal, " Phys. Rev. B 71085106 (2005).

Phys. Rev. B.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry,"Subwavelength imaging in photonic crystals," Phys. Rev. B. 68, 045115 (2003). [CrossRef]

Phys. Rev. Lett.

E. Cubukcu, K. Aydin, E. Ozbay, and S. Soukoulis, "Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens," Phys. Rev. Lett. 91, 207401 (2003). [CrossRef]
P. V. Parimi, W. T. Lu, P. Vodo, J. Sokolo, J. S. Derov, and S. Sridhar, "Negative refraction in 1D photonic crystals," Phys. Rev. Lett. 92, 127401 (2004). [CrossRef]
J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3999 (2000). [CrossRef]
D. F. Sievenpiper, M. E. Sickmiller, and E. Yablonovitch, "3D wire mesh photonic crystals," Phys. Rev. Lett. 76, 2480-2483 (1996). [CrossRef]
A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative Refraction at Infrared Wavelengths in a Two-Dimensional Photonic Crystal," Phys. Rev. Lett. 93, 073902 (2004).
Z. Feng, X. Zhang, Y. Wang, Z. Y. Li, B. Cheng, and D. Z. Zhang, "Negative Refraction and Imaging Using 12-fold-Symmetry Quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).
S. Foteinopoulou, E. N. Economou, and C. M. Soukoulis, "Refraction in Media with a Negative Refractive Index," Phys. Rev. Lett. 90, 107402 (2003).

Phys. Status Solidi A

R. Nava, M. B. de la Mora, J. Tagüeña-Martínez, and J. A. del Río, "Refractive index contrast in porous silicon multilayers," Phys. Status Solidi A (To be published).

Phys.Rev. B

S. Foteinopoulou and C. M. Soukoulis, "Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects," Phys.Rev. B 72,165112 (2005).

Science

J. Yao, Z. Liu, Y. Liu,Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, "Optical Negative Refraction in Bulk Metamaterials of Nanowires," Science 321, 930 (2008).

Solid State Commun.

R. Srivastava, B. K. Thapa, S. Pati, and S.P. Ojha, "Negative refraction in 1D photonic crystals," Solid State Commun. 147, 157-160 (2008).

Sov. Phys. USPEKHI

V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of permittivity and permeability," Sov. Phys. USPEKHI 10, 509 (1968). [CrossRef]

2008, Srivastava, Solid State Commun.
2008, Yao, Science
2008, Zhang, Opt. Commun.
2007, Schonbrun, Appl. Phys. Lett.
2007, Yuan Yuan, Chin. Phys.
2005, Moussa, Phys. Rev. B
2005, Kavokin, Phys. Lett. A
2005, Feng, Phys. Rev. Lett.
2005, Foteinopoulou, Phys.Rev. B
2004, Agranovich, Phys. Rev. B
2004, Parimi, Phys. Rev. Lett.
2004, Vodo, Appl. Phys. Lett.
2004, Berrier, Phys. Rev. Lett.
2003, Cubukcu, Nature
2003, Parimi, Nature
2003, Luo, Opt. Express
2003, Cubukcu, Phys. Rev. Lett.
2003, Luo, Phys. Rev. B.
2003, Boedecker, Opt. Express
2003, Foteinopoulou, Phys. Rev. Lett.
2002, Notomi, Opt. Quantum Electron.
2000, Pendry, Phys. Rev. Lett.
1999, Kosaka, Appl. Phys. Lett.
1998, Kosaka, Phys. Rev. B
1997, Pavesi, La Rivista del Nuovo Cimento
1996, Sievenpiper, Phys. Rev. Lett.
1968, Veselago, Sov. Phys. USPEKHI

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[1] V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of permittivity and permeability," Sov. Phys. USPEKHI 10, 509 (1968). [CrossRef]

[2] J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3999 (2000). [CrossRef]

[3] D. F. Sievenpiper, M. E. Sickmiller, and E. Yablonovitch, "3D wire mesh photonic crystals," Phys. Rev. Lett. 76, 2480-2483 (1996). [CrossRef]

[4] A. V. Kavokin, G. Malpuech, and I. Shelykh, "Negative refraction of light in Bragg mirrors made of porous silicon," Phys. Lett. A 339, 387-392 (2005). [CrossRef]

[5] V. M. Agranovich, Y. R. Shen, R. H. Baughman, and A. A. Zakhidov,"Linear and non linear wave propagation in negative refraction metamaterials," Phys. Rev. B 69, 165112 (2004). [CrossRef]

[6] P. V. Parimi, W. T. Lu, P. Vodo, J. Sokolo, J. S. Derov, and S. Sridhar, "Negative refraction in 1D photonic crystals," Phys. Rev. Lett. 92, 127401 (2004). [CrossRef]

[7] H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096 (1998).

[8] E. Cubukcu, K. Aydin, E. Ozbay, and S. Soukoulis, "Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens," Phys. Rev. Lett. 91, 207401 (2003). [CrossRef]

[9] C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry,"Subwavelength imaging in photonic crystals," Phys. Rev. B. 68, 045115 (2003). [CrossRef]

[10] H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamura, T. Sato, and S. Kawakami, "Self-collimating phenomensa in photonic crystal," Appl. Phys. Lett. 74, 1212 (1999). [CrossRef]

[11] E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Negative refraction by photonic crystals," Nature 423, 604 (2003).

[12] P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, "Photonic crystals: Imaging by flat lens using negative refraction," Nature 426, 404 (2003).

[13] A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative Refraction at Infrared Wavelengths in a Two-Dimensional Photonic Crystal," Phys. Rev. Lett. 93, 073902 (2004).

[14] E. Schonbrun, Q. Wu, W. Park, T. Yamashita, C. J. Summers, M. Abashin, and Y. Fainman, "Wave front evolution of negatively refracted waves in a photonic crystal," Appl. Phys. Lett. 90, 041113 (2007).

[15] R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal, " Phys. Rev. B 71085106 (2005).

[16] C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Negative refraction without negative index in metallic photonic crystals," Opt. Express 11, 746 (2003).

[17] S. Foteinopoulou and C. M. Soukoulis, "Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects," Phys.Rev. B 72,165112 (2005).

[18] C. Yuan Yuan, H. Z. Ming, S. J. Long, L. C. Fang, and Q. Wang, "Frequency bands of negative refraction in finite one-dimensional photonic crystals," Chin. Phys. 16, 173 (2007).

[19] P. Vodo, P. V. Parimi, W. T. Lu, S. Sridhar, and R. Wing, "Microwave photonic crystal with tailor made negative refractive index," Appl. Phys. Lett. 85, 1858 (2004).

[20] Z. Feng, X. Zhang, Y. Wang, Z. Y. Li, B. Cheng, and D. Z. Zhang, "Negative Refraction and Imaging Using 12-fold-Symmetry Quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).

[21] M. Notomi, "Negative refraction in photonic crystals," Opt. Quantum Electron. 34, 133 (2002).

[22] G. Boedecker and C. Henkel, "All-frequency effective medium theory of a photonic crystal," Opt. Express 11, 1590 (2003).

[23] R. Srivastava, B. K. Thapa, S. Pati, and S.P. Ojha, "Negative refraction in 1D photonic crystals," Solid State Commun. 147, 157-160 (2008).

[24] J. Yao, Z. Liu, Y. Liu,Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, "Optical Negative Refraction in Bulk Metamaterials of Nanowires," Science 321, 930 (2008).

[25] R. Nava, M. B. de la Mora, J. Tagüeña-Martínez, and J. A. del Río, "Refractive index contrast in porous silicon multilayers," Phys. Status Solidi A (To be published).

[26] L. Pavesi,"Porous silicon dielectric multilayers and microcavities," La Rivista del Nuovo Cimento 20, 1 (1997).

[27] W. Q. Zhang and F. Yang, "Negative refraction at various crystal interfaces," Opt. Commun. 281, 3081-3086 (2008).

[28] S. Foteinopoulou, E. N. Economou, and C. M. Soukoulis, "Refraction in Media with a Negative Refractive Index," Phys. Rev. Lett. 90, 107402 (2003).

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Multiband negative refraction in one-dimensional photonic crystals

Article Tools

Abstract

References

Appl. Phys. Lett.

Chin. Phys.

La Rivista del Nuovo Cimento

Nature

Opt. Commun.

Opt. Express

Opt. Quantum Electron.

Phys. Lett. A

Phys. Rev. B

Phys. Rev. B.

Phys. Rev. Lett.

Phys. Status Solidi A

Phys.Rev. B

Science

Solid State Commun.

Sov. Phys. USPEKHI

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