Abstract

We propose a multilayer complementary metamaterial structure fabricated on a crystal quartz substrate measuring between 100 and 700GHz. The concept of a second-order terahertz bandpass filter is realized by this structure, and it offers a superior quality factor, steepness of skirts, and out-of-band rejection. Physical limitations on the quality factor and insertion loss have also been studied, including the skin depth of the metal and the optical phonon resonance in quartz. Based on these factors, a series of higher frequency filters has been designed, and simulation results are presented.

© 2011 Optical Society of America

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    [CrossRef]

2009

N. I. Landy, C. M. Bingham, T. Tyler, N. Jokerst, D. R. Smith, and W. J. Padilla, Phys. Rev. B 79, 125104 (2009).
[CrossRef]

M. Al-Joumayly and N. Behdad, IEEE Trans. Antennas Propag. 57, 452 (2009).
[CrossRef]

J. Han, J. Gu, X. Lu, M. He, Q. Xing, and W. Zhang, Opt. Express 17, 16527 (2009).
[CrossRef] [PubMed]

O. Paul, R. Beigang, and M. Rahm, Opt. Express 17, 18590 (2009).
[CrossRef]

2008

J. Y. Chin, M. Lu, and T.-J. Cui, Appl. Phys. Lett. 93, 251903 (2008).
[CrossRef]

2007

2006

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

D. Schurig, J. J. Mock, and D. R. Smith, Appl. Phys. Lett. 88, 041109 (2006).
[CrossRef]

2005

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

2000

M. E. MacDonald, A. Alexanian, R. A. York, Z. Popovic, and E. N. Grossman, IEEE Trans. Microwave Theory Tech. 48, 712 (2000).
[CrossRef]

1994

1990

1973

1968

Alexanian, A.

M. E. MacDonald, A. Alexanian, R. A. York, Z. Popovic, and E. N. Grossman, IEEE Trans. Microwave Theory Tech. 48, 712 (2000).
[CrossRef]

Al-Joumayly, M.

M. Al-Joumayly and N. Behdad, IEEE Trans. Antennas Propag. 57, 452 (2009).
[CrossRef]

Averitt, R. D.

Behdad, N.

M. Al-Joumayly and N. Behdad, IEEE Trans. Antennas Propag. 57, 452 (2009).
[CrossRef]

Beigang, R.

Bingham, C. M.

N. I. Landy, C. M. Bingham, T. Tyler, N. Jokerst, D. R. Smith, and W. J. Padilla, Phys. Rev. B 79, 125104 (2009).
[CrossRef]

Brueck, S. R. J.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Chen, H.-T.

Chin, J. Y.

J. Y. Chin, M. Lu, and T.-J. Cui, Appl. Phys. Lett. 93, 251903 (2008).
[CrossRef]

Crowe, T. W.

Cui, T.-J.

J. Y. Chin, M. Lu, and T.-J. Cui, Appl. Phys. Lett. 93, 251903 (2008).
[CrossRef]

Cummer, S. A.

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

Densing, R.

Fan, W.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Fattinger, Ch.

Grischkowsky, D.

Grossman, E. N.

M. E. MacDonald, A. Alexanian, R. A. York, Z. Popovic, and E. N. Grossman, IEEE Trans. Microwave Theory Tech. 48, 712 (2000).
[CrossRef]

Gu, J.

Han, J.

He, M.

Highstrete, C.

Jesler, J. L.

Jokerst, N.

N. I. Landy, C. M. Bingham, T. Tyler, N. Jokerst, D. R. Smith, and W. J. Padilla, Phys. Rev. B 79, 125104 (2009).
[CrossRef]

Jones, E. M. T.

G. L. Matthaei, L. Young, and E. M. T. Jones, Microwave Filters, Impedance-Matching Networks, and Coupling Structures (Artech House, 1980).

Justice, B. J.

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

Keiding, S.

Landy, N. I.

N. I. Landy, C. M. Bingham, T. Tyler, N. Jokerst, D. R. Smith, and W. J. Padilla, Phys. Rev. B 79, 125104 (2009).
[CrossRef]

Lee, M.

Loewenstein, E. V.

Lu, M.

J. Y. Chin, M. Lu, and T.-J. Cui, Appl. Phys. Lett. 93, 251903 (2008).
[CrossRef]

Lu, X.

MacDonald, M. E.

M. E. MacDonald, A. Alexanian, R. A. York, Z. Popovic, and E. N. Grossman, IEEE Trans. Microwave Theory Tech. 48, 712 (2000).
[CrossRef]

Malloy, K. J.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Matthaei, G. L.

G. L. Matthaei, L. Young, and E. M. T. Jones, Microwave Filters, Impedance-Matching Networks, and Coupling Structures (Artech House, 1980).

Mock, J. J.

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

D. Schurig, J. J. Mock, and D. R. Smith, Appl. Phys. Lett. 88, 041109 (2006).
[CrossRef]

Morgan, R. L.

Mueller, E. R.

O’Hara, J. F.

Osgood, R. M.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Padilla, W. J.

N. I. Landy, C. M. Bingham, T. Tyler, N. Jokerst, D. R. Smith, and W. J. Padilla, Phys. Rev. B 79, 125104 (2009).
[CrossRef]

H.-T. Chen, J. F. O’Hara, A. J. Taylor, R. D. Averitt, C. Highstrete, M. Lee, and W. J. Padilla, Opt. Express 15, 1084 (2007).
[CrossRef] [PubMed]

Panoiu, N. C.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Paul, O.

Pendry, J. B.

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

Popovic, Z.

M. E. MacDonald, A. Alexanian, R. A. York, Z. Popovic, and E. N. Grossman, IEEE Trans. Microwave Theory Tech. 48, 712 (2000).
[CrossRef]

Porterfield, D. W.

Rahm, M.

Schurig, D.

D. Schurig, J. J. Mock, and D. R. Smith, Appl. Phys. Lett. 88, 041109 (2006).
[CrossRef]

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

Smith, D. R.

N. I. Landy, C. M. Bingham, T. Tyler, N. Jokerst, D. R. Smith, and W. J. Padilla, Phys. Rev. B 79, 125104 (2009).
[CrossRef]

D. Schurig, J. J. Mock, and D. R. Smith, Appl. Phys. Lett. 88, 041109 (2006).
[CrossRef]

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

E. V. Loewenstein, D. R. Smith, and R. L. Morgan, Appl. Opt. 12, 398 (1973).
[CrossRef] [PubMed]

Star, A. F.

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

Taylor, A. J.

Tyler, T.

N. I. Landy, C. M. Bingham, T. Tyler, N. Jokerst, D. R. Smith, and W. J. Padilla, Phys. Rev. B 79, 125104 (2009).
[CrossRef]

Ulrich, R.

van Exter, M.

Weikle, R. M.

Xing, Q.

York, R. A.

M. E. MacDonald, A. Alexanian, R. A. York, Z. Popovic, and E. N. Grossman, IEEE Trans. Microwave Theory Tech. 48, 712 (2000).
[CrossRef]

Young, L.

G. L. Matthaei, L. Young, and E. M. T. Jones, Microwave Filters, Impedance-Matching Networks, and Coupling Structures (Artech House, 1980).

Zhang, S.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Zhang, W.

Appl. Opt.

Appl. Phys. Lett.

J. Y. Chin, M. Lu, and T.-J. Cui, Appl. Phys. Lett. 93, 251903 (2008).
[CrossRef]

D. Schurig, J. J. Mock, and D. R. Smith, Appl. Phys. Lett. 88, 041109 (2006).
[CrossRef]

IEEE Trans. Antennas Propag.

M. Al-Joumayly and N. Behdad, IEEE Trans. Antennas Propag. 57, 452 (2009).
[CrossRef]

IEEE Trans. Microwave Theory Tech.

M. E. MacDonald, A. Alexanian, R. A. York, Z. Popovic, and E. N. Grossman, IEEE Trans. Microwave Theory Tech. 48, 712 (2000).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Express

Phys. Rev. B

N. I. Landy, C. M. Bingham, T. Tyler, N. Jokerst, D. R. Smith, and W. J. Padilla, Phys. Rev. B 79, 125104 (2009).
[CrossRef]

Phys. Rev. Lett.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Science

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

Other

G. L. Matthaei, L. Young, and E. M. T. Jones, Microwave Filters, Impedance-Matching Networks, and Coupling Structures (Artech House, 1980).

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Figures (4)

Fig. 1
Fig. 1

(a) Schematic of the unit cell of the metamaterial MDM filter. (b) Two-layer structure of the filter.

Fig. 2
Fig. 2

Simulated and measured results of the S parameters of the bandpass filter. The small diagram on the lower-right corner is the magnification of the simulation result.

Fig. 3
Fig. 3

(a) Circuit model of the material resonators coupled by a short length of transmission line ( C T 1 - L T - C T 2 pi circuit shown in the dashed box). (b) Comparison of circuit response and measured transmittance of the filter for the fundamental passband.

Fig. 4
Fig. 4

Simulated transmittance of frequency-scaled, second-order metamaterial filters.

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