Abstract

A two-dimensional metallo-dielectric photonic crystal of negative refraction was designed for the application of polarization beam splitters. To match the refractive index of air, the effective refractive index of the designed photonic crystal is 1 for TE polarization and +1 for TM polarization. Two types of polarization beam splitter are presented.

© 2005 Optical Society of America

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2004 (10)

J. B. Pendry and D. R. Smith, Phys. Today 57(6), 37 (2004).
[CrossRef]

D. R. Smith and J. B. Pendry, Science 305, 788 (2004).
[CrossRef] [PubMed]

X. Y. Ao and S. L. He, Opt. Lett. 29, 2542 (2004).
[CrossRef] [PubMed]

P. V. Parimi, W. T. Lu, P. Vodo, J. Sokoloff, J. S. Derov, and S. Sridhar, Phys. Rev. Lett. 92, 127401 (2004).
[CrossRef]

D. R. Solli and J. M. Hickmann, J. Phys. D 37, R263 (2004).
[CrossRef]

X. Y. Chen, P. J. Yao, B. Chen, F. Li, J. Y. Zhang, J. P. Xie, H. Ming, and S. H. Fan, Chin. Phys. Lett. 21, 1285 (2004).
[CrossRef]

L. J. Wu, M. Mazilu, J. F. Gallet, T. F. Krauss, A. Jugessur, and R. M. De La Rue, Opt. Lett. 29, 1620 (2004).
[CrossRef] [PubMed]

X. D. Zhang, Phys. Rev. B 70, 195110 (2004).
[CrossRef]

X. D. Zhang, Phys. Rev. B 70, 205102 (2004).
[CrossRef]

X. H. Hu and C. T. Chan, Appl. Phys. Lett. 85, 1520 (2004).
[CrossRef]

2003 (5)

J. Bravo-Abad, T. Ochiai, and J. Sanchez-Dehesa, Phys. Rev. B 67, 115116 (2003).
[CrossRef]

J. Choi, G. Sauer, K. Nielsch, R. B. Wehrspohn, and U. Gosele, Chem. Mater. 15, 776 (2003).
[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

S. Kim, G. P. Nordin, J. Cai, and J. Jiang, Opt. Lett. 28, 2384 (2003).
[CrossRef] [PubMed]

2002 (2)

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104 (2002).
[CrossRef]

C. Luo, S. G. Johnson, and J. D. Joannopoulos, Appl. Phys. Lett. 81, 2352 (2002).
[CrossRef]

2001 (1)

X. D. Zhang, L. M. Li, Z. Q. Zhang, and C. T. Chan, Phys. Rev. B 63, 125114 (2001).
[CrossRef]

2000 (3)

H. van der Lem and A. Moroz, J. Opt. A, Pure Appl. Opt. 2, 395 (2000).
[CrossRef]

B. Gralak, S. Enoch, and G. Tayeb, J. Opt. Soc. Am. A 17, 1012 (2000).
[CrossRef]

M. Notomi, Phys. Rev. B 62, 10696 (2000).
[CrossRef]

1999 (1)

H. Masuda, M. Ohya, K. Nishio, H. Asoh, and M. Nakao, Jpn. J. Appl. Phys., Part 2 38, L1403 (1999).
[CrossRef]

1998 (1)

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, 10096 (1998).
[CrossRef]

1997 (1)

1995 (1)

N. A. Nicorovici, R. C. McPhedran, and L. C. Botten, Phys. Rev. E 52, 1135 (1995).
[CrossRef]

1994 (1)

V. Kuzmiak, A. A. Maradudin, and F. Pincemin, Phys. Rev. B 50, 16835 (1994).
[CrossRef]

1982 (1)

D. E. Aspnes, Am. J. Phys. 50, 704 (1982).
[CrossRef]

Ao, X. Y.

Asoh, H.

H. Masuda, M. Ohya, K. Nishio, H. Asoh, and M. Nakao, Jpn. J. Appl. Phys., Part 2 38, L1403 (1999).
[CrossRef]

Aspnes, D. E.

D. E. Aspnes, Am. J. Phys. 50, 704 (1982).
[CrossRef]

Aydin, K.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

Botten, L. C.

N. A. Nicorovici, R. C. McPhedran, and L. C. Botten, Phys. Rev. E 52, 1135 (1995).
[CrossRef]

Bravo-Abad, J.

J. Bravo-Abad, T. Ochiai, and J. Sanchez-Dehesa, Phys. Rev. B 67, 115116 (2003).
[CrossRef]

Cai, J.

Chan, C. T.

X. H. Hu and C. T. Chan, Appl. Phys. Lett. 85, 1520 (2004).
[CrossRef]

X. D. Zhang, L. M. Li, Z. Q. Zhang, and C. T. Chan, Phys. Rev. B 63, 125114 (2001).
[CrossRef]

Chen, B.

X. Y. Chen, P. J. Yao, B. Chen, F. Li, J. Y. Zhang, J. P. Xie, H. Ming, and S. H. Fan, Chin. Phys. Lett. 21, 1285 (2004).
[CrossRef]

Chen, X. Y.

X. Y. Chen, P. J. Yao, B. Chen, F. Li, J. Y. Zhang, J. P. Xie, H. Ming, and S. H. Fan, Chin. Phys. Lett. 21, 1285 (2004).
[CrossRef]

Choi, J.

J. Choi, G. Sauer, K. Nielsch, R. B. Wehrspohn, and U. Gosele, Chem. Mater. 15, 776 (2003).
[CrossRef]

Cubukcu, E.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

De La Rue, R. M.

Derov, J. S.

P. V. Parimi, W. T. Lu, P. Vodo, J. Sokoloff, J. S. Derov, and S. Sridhar, Phys. Rev. Lett. 92, 127401 (2004).
[CrossRef]

Enoch, S.

Fan, S. H.

X. Y. Chen, P. J. Yao, B. Chen, F. Li, J. Y. Zhang, J. P. Xie, H. Ming, and S. H. Fan, Chin. Phys. Lett. 21, 1285 (2004).
[CrossRef]

Foteinopoulou, S.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

Gallet, J. F.

Gosele, U.

J. Choi, G. Sauer, K. Nielsch, R. B. Wehrspohn, and U. Gosele, Chem. Mater. 15, 776 (2003).
[CrossRef]

Gralak, B.

He, S. L.

Hickmann, J. M.

D. R. Solli and J. M. Hickmann, J. Phys. D 37, R263 (2004).
[CrossRef]

Hu, X. H.

X. H. Hu and C. T. Chan, Appl. Phys. Lett. 85, 1520 (2004).
[CrossRef]

Jiang, J.

Joannopoulos, J. D.

C. Luo, S. G. Johnson, and J. D. Joannopoulos, Appl. Phys. Lett. 81, 2352 (2002).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104 (2002).
[CrossRef]

Johnson, S. G.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104 (2002).
[CrossRef]

C. Luo, S. G. Johnson, and J. D. Joannopoulos, Appl. Phys. Lett. 81, 2352 (2002).
[CrossRef]

Jugessur, A.

Kawakami, S.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, 10096 (1998).
[CrossRef]

Kawashima, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, 10096 (1998).
[CrossRef]

Kim, S.

Kosaka, H.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, 10096 (1998).
[CrossRef]

Krauss, T. F.

Kuzmiak, V.

V. Kuzmiak, A. A. Maradudin, and F. Pincemin, Phys. Rev. B 50, 16835 (1994).
[CrossRef]

Li, F.

X. Y. Chen, P. J. Yao, B. Chen, F. Li, J. Y. Zhang, J. P. Xie, H. Ming, and S. H. Fan, Chin. Phys. Lett. 21, 1285 (2004).
[CrossRef]

Li, L. M.

X. D. Zhang, L. M. Li, Z. Q. Zhang, and C. T. Chan, Phys. Rev. B 63, 125114 (2001).
[CrossRef]

Lu, W. T.

P. V. Parimi, W. T. Lu, P. Vodo, J. Sokoloff, J. S. Derov, and S. Sridhar, Phys. Rev. Lett. 92, 127401 (2004).
[CrossRef]

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

Luo, C.

C. Luo, S. G. Johnson, and J. D. Joannopoulos, Appl. Phys. Lett. 81, 2352 (2002).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104 (2002).
[CrossRef]

Maradudin, A. A.

V. Kuzmiak, A. A. Maradudin, and F. Pincemin, Phys. Rev. B 50, 16835 (1994).
[CrossRef]

Masuda, H.

H. Masuda, M. Ohya, K. Nishio, H. Asoh, and M. Nakao, Jpn. J. Appl. Phys., Part 2 38, L1403 (1999).
[CrossRef]

Maystre, D.

Mazilu, M.

McPhedran, R. C.

N. A. Nicorovici, R. C. McPhedran, and L. C. Botten, Phys. Rev. E 52, 1135 (1995).
[CrossRef]

Ming, H.

X. Y. Chen, P. J. Yao, B. Chen, F. Li, J. Y. Zhang, J. P. Xie, H. Ming, and S. H. Fan, Chin. Phys. Lett. 21, 1285 (2004).
[CrossRef]

Moroz, A.

H. van der Lem and A. Moroz, J. Opt. A, Pure Appl. Opt. 2, 395 (2000).
[CrossRef]

Nakao, M.

H. Masuda, M. Ohya, K. Nishio, H. Asoh, and M. Nakao, Jpn. J. Appl. Phys., Part 2 38, L1403 (1999).
[CrossRef]

Nicorovici, N. A.

N. A. Nicorovici, R. C. McPhedran, and L. C. Botten, Phys. Rev. E 52, 1135 (1995).
[CrossRef]

Nielsch, K.

J. Choi, G. Sauer, K. Nielsch, R. B. Wehrspohn, and U. Gosele, Chem. Mater. 15, 776 (2003).
[CrossRef]

Nishio, K.

H. Masuda, M. Ohya, K. Nishio, H. Asoh, and M. Nakao, Jpn. J. Appl. Phys., Part 2 38, L1403 (1999).
[CrossRef]

Nordin, G. P.

Notomi, M.

M. Notomi, Phys. Rev. B 62, 10696 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, 10096 (1998).
[CrossRef]

Ochiai, T.

J. Bravo-Abad, T. Ochiai, and J. Sanchez-Dehesa, Phys. Rev. B 67, 115116 (2003).
[CrossRef]

Ohya, M.

H. Masuda, M. Ohya, K. Nishio, H. Asoh, and M. Nakao, Jpn. J. Appl. Phys., Part 2 38, L1403 (1999).
[CrossRef]

Ozbay, E.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1998).

Parimi, P. V.

P. V. Parimi, W. T. Lu, P. Vodo, J. Sokoloff, J. S. Derov, and S. Sridhar, Phys. Rev. Lett. 92, 127401 (2004).
[CrossRef]

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

Pendry, J. B.

D. R. Smith and J. B. Pendry, Science 305, 788 (2004).
[CrossRef] [PubMed]

J. B. Pendry and D. R. Smith, Phys. Today 57(6), 37 (2004).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104 (2002).
[CrossRef]

Pincemin, F.

V. Kuzmiak, A. A. Maradudin, and F. Pincemin, Phys. Rev. B 50, 16835 (1994).
[CrossRef]

Sanchez-Dehesa, J.

J. Bravo-Abad, T. Ochiai, and J. Sanchez-Dehesa, Phys. Rev. B 67, 115116 (2003).
[CrossRef]

Sato, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, 10096 (1998).
[CrossRef]

Sauer, G.

J. Choi, G. Sauer, K. Nielsch, R. B. Wehrspohn, and U. Gosele, Chem. Mater. 15, 776 (2003).
[CrossRef]

Smith, D. R.

J. B. Pendry and D. R. Smith, Phys. Today 57(6), 37 (2004).
[CrossRef]

D. R. Smith and J. B. Pendry, Science 305, 788 (2004).
[CrossRef] [PubMed]

Sokoloff, J.

P. V. Parimi, W. T. Lu, P. Vodo, J. Sokoloff, J. S. Derov, and S. Sridhar, Phys. Rev. Lett. 92, 127401 (2004).
[CrossRef]

Solli, D. R.

D. R. Solli and J. M. Hickmann, J. Phys. D 37, R263 (2004).
[CrossRef]

Soukoulis, C. M.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

Sridhar, S.

P. V. Parimi, W. T. Lu, P. Vodo, J. Sokoloff, J. S. Derov, and S. Sridhar, Phys. Rev. Lett. 92, 127401 (2004).
[CrossRef]

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

Tamamura, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, 10096 (1998).
[CrossRef]

Tayeb, G.

Tomita, A.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, 10096 (1998).
[CrossRef]

van der Lem, H.

H. van der Lem and A. Moroz, J. Opt. A, Pure Appl. Opt. 2, 395 (2000).
[CrossRef]

Vodo, P.

P. V. Parimi, W. T. Lu, P. Vodo, J. Sokoloff, J. S. Derov, and S. Sridhar, Phys. Rev. Lett. 92, 127401 (2004).
[CrossRef]

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

Wehrspohn, R. B.

J. Choi, G. Sauer, K. Nielsch, R. B. Wehrspohn, and U. Gosele, Chem. Mater. 15, 776 (2003).
[CrossRef]

Wu, L. J.

Xie, J. P.

X. Y. Chen, P. J. Yao, B. Chen, F. Li, J. Y. Zhang, J. P. Xie, H. Ming, and S. H. Fan, Chin. Phys. Lett. 21, 1285 (2004).
[CrossRef]

Yao, P. J.

X. Y. Chen, P. J. Yao, B. Chen, F. Li, J. Y. Zhang, J. P. Xie, H. Ming, and S. H. Fan, Chin. Phys. Lett. 21, 1285 (2004).
[CrossRef]

Zhang, J. Y.

X. Y. Chen, P. J. Yao, B. Chen, F. Li, J. Y. Zhang, J. P. Xie, H. Ming, and S. H. Fan, Chin. Phys. Lett. 21, 1285 (2004).
[CrossRef]

Zhang, X. D.

X. D. Zhang, Phys. Rev. B 70, 195110 (2004).
[CrossRef]

X. D. Zhang, Phys. Rev. B 70, 205102 (2004).
[CrossRef]

X. D. Zhang, L. M. Li, Z. Q. Zhang, and C. T. Chan, Phys. Rev. B 63, 125114 (2001).
[CrossRef]

Zhang, Z. Q.

X. D. Zhang, L. M. Li, Z. Q. Zhang, and C. T. Chan, Phys. Rev. B 63, 125114 (2001).
[CrossRef]

Am. J. Phys. (1)

D. E. Aspnes, Am. J. Phys. 50, 704 (1982).
[CrossRef]

Appl. Phys. Lett. (2)

C. Luo, S. G. Johnson, and J. D. Joannopoulos, Appl. Phys. Lett. 81, 2352 (2002).
[CrossRef]

X. H. Hu and C. T. Chan, Appl. Phys. Lett. 85, 1520 (2004).
[CrossRef]

Chem. Mater. (1)

J. Choi, G. Sauer, K. Nielsch, R. B. Wehrspohn, and U. Gosele, Chem. Mater. 15, 776 (2003).
[CrossRef]

Chin. Phys. Lett. (1)

X. Y. Chen, P. J. Yao, B. Chen, F. Li, J. Y. Zhang, J. P. Xie, H. Ming, and S. H. Fan, Chin. Phys. Lett. 21, 1285 (2004).
[CrossRef]

J. Opt. A, Pure Appl. Opt. (1)

H. van der Lem and A. Moroz, J. Opt. A, Pure Appl. Opt. 2, 395 (2000).
[CrossRef]

J. Opt. Soc. Am. A (2)

J. Phys. D (1)

D. R. Solli and J. M. Hickmann, J. Phys. D 37, R263 (2004).
[CrossRef]

Jpn. J. Appl. Phys., Part 2 (1)

H. Masuda, M. Ohya, K. Nishio, H. Asoh, and M. Nakao, Jpn. J. Appl. Phys., Part 2 38, L1403 (1999).
[CrossRef]

Nature (2)

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. B (8)

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, 10096 (1998).
[CrossRef]

M. Notomi, Phys. Rev. B 62, 10696 (2000).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104 (2002).
[CrossRef]

V. Kuzmiak, A. A. Maradudin, and F. Pincemin, Phys. Rev. B 50, 16835 (1994).
[CrossRef]

X. D. Zhang, Phys. Rev. B 70, 195110 (2004).
[CrossRef]

X. D. Zhang, Phys. Rev. B 70, 205102 (2004).
[CrossRef]

X. D. Zhang, L. M. Li, Z. Q. Zhang, and C. T. Chan, Phys. Rev. B 63, 125114 (2001).
[CrossRef]

J. Bravo-Abad, T. Ochiai, and J. Sanchez-Dehesa, Phys. Rev. B 67, 115116 (2003).
[CrossRef]

Phys. Rev. E (1)

N. A. Nicorovici, R. C. McPhedran, and L. C. Botten, Phys. Rev. E 52, 1135 (1995).
[CrossRef]

Phys. Rev. Lett. (1)

P. V. Parimi, W. T. Lu, P. Vodo, J. Sokoloff, J. S. Derov, and S. Sridhar, Phys. Rev. Lett. 92, 127401 (2004).
[CrossRef]

Phys. Today (1)

J. B. Pendry and D. R. Smith, Phys. Today 57(6), 37 (2004).
[CrossRef]

Science (1)

D. R. Smith and J. B. Pendry, Science 305, 788 (2004).
[CrossRef] [PubMed]

Other (1)

E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1998).

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Figures (4)

Fig. 1
Fig. 1

(a), (b) Band structures and (c), (d) equal-frequency contours of a PC formed by a triangular lattice of dielectric-coated silver rods for (a), (c) TE polarization and (b), (d) TM polarization. The lattice constant is a = 300 nm , and the radii of the dielectric rods and the inner silver rods are R = 0.45 a and r = 0.26 a , respectively. Dashed lines, frequency [ ω = 0.42 ( 2 π c a ) ] at which the effective refractive index of the PC is 1 for TE polarization and + 1 for TM polarization. Dashed–dotted lines, light lines of air.

Fig. 2
Fig. 2

Simulated intensity distribution for a slablike polarization beam splitter excited by (a) a TM-polarized or (b) a TE-polarized Gaussian beam at the same frequency, ω = 0.42 ( 2 π c a ) . Dots indicate the sites of the rods.

Fig. 3
Fig. 3

Simulated intensity distribution for a wedgelike polarization beam splitter excited by (a) a TM-polarized or (b) a TE-polarized Gaussian beam at the same frequency, ω = 0.42 ( 2 π c a ) .

Fig. 4
Fig. 4

Band structures of a PC of porous alumina (with a triangular lattice) infiltrated with silver: circles, TE polarization; squares, TM polarization. The lattice constant is a = 300 nm , and the radius of the silver nanowires is r = 0.255 a . Dashed line, the frequency [ ω = 0.40 ( 2 π c a ) ] at which the effective refractive index of the PC is 1 for TE polarization and + 1 for TM polarization. Dashed–dotted lines, light lines of air.

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