Abstract

The experimental results of light transmission through periodic array of H-shaped hole and more complicated hole which is a combination of multiple U shape are demonstrated. The observations indicate that the localized shape resonance in the longest resonant length of unfolded U-shaped part of the hole always appears. However, localized modes resonant in smaller U-shaped length don't always appear. Localized mode with non-U-shaped resonant path cannot be seen in our sample. In addition, localized mode with different order and resonant path can be excited by different polarized light.

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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2010 (1)

R.-J. Liu, J.-X. Fu, and Z.-Y. Li, “Near-field analysis of the transmission properties of subwavelength periodic H-shaped arrays in thin metal film,” J. Opt. 12(6), 065002 (2010).
[CrossRef]

2009 (2)

2008 (1)

H. T. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452(7188), 728–731 (2008).
[CrossRef] [PubMed]

2007 (1)

M. Sun, R. Liu, Z. Li, B. Cheng, D. Zhang, H. Yang, and A. Jin, “Enhanced near-infrared transmission through periodic H-shaped arrays,” Phys. Lett. A 365(5-6), 510–513 (2007).
[CrossRef]

2005 (2)

C. Genet, M. P. van Exter, and J. P. Woerdman, “Huygens description of resonance phenomena in subwavelength hole arrays,” J. Opt. Soc. Am. A 22(5), 998–1002 (2005).
[CrossRef]

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95(10), 103901 (2005).
[CrossRef] [PubMed]

2004 (1)

K. Koerkamp, S. Enoch, F. Segerink, N. van Hulst, and L. Kuipers, “Strong Influence of Hole Shape on Extraordinary Transmission through Periodic Arrays of Subwavelength Holes,” Phys. Rev. Lett. 92(18), 183901 (2004).
[CrossRef] [PubMed]

1998 (2)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[CrossRef]

H. Ghaemi, T. Thio, D. Grupp, T. Ebbesen, and H. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
[CrossRef]

1985 (1)

1967 (1)

R. Ulrich, “Far-infrared properties of metallic mesh and its complementary structure,” Infrared Phys. 7(1), 37–55 (1967).
[CrossRef]

Chen, C.-Y.

Cheng, B.

M. Sun, R. Liu, Z. Li, B. Cheng, D. Zhang, H. Yang, and A. Jin, “Enhanced near-infrared transmission through periodic H-shaped arrays,” Phys. Lett. A 365(5-6), 510–513 (2007).
[CrossRef]

Compton, R. C.

Ebbesen, T.

H. Ghaemi, T. Thio, D. Grupp, T. Ebbesen, and H. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
[CrossRef]

Ebbesen, T. W.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[CrossRef]

Enoch, S.

K. Koerkamp, S. Enoch, F. Segerink, N. van Hulst, and L. Kuipers, “Strong Influence of Hole Shape on Extraordinary Transmission through Periodic Arrays of Subwavelength Holes,” Phys. Rev. Lett. 92(18), 183901 (2004).
[CrossRef] [PubMed]

Fu, J.-X.

R.-J. Liu, J.-X. Fu, and Z.-Y. Li, “Near-field analysis of the transmission properties of subwavelength periodic H-shaped arrays in thin metal film,” J. Opt. 12(6), 065002 (2010).
[CrossRef]

García-Vidal, F. J.

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95(10), 103901 (2005).
[CrossRef] [PubMed]

Genet, C.

Ghaemi, H.

H. Ghaemi, T. Thio, D. Grupp, T. Ebbesen, and H. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
[CrossRef]

Ghaemi, H. F.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[CrossRef]

Grupp, D.

H. Ghaemi, T. Thio, D. Grupp, T. Ebbesen, and H. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
[CrossRef]

Jiang, Y.-W.

Jin, A.

M. Sun, R. Liu, Z. Li, B. Cheng, D. Zhang, H. Yang, and A. Jin, “Enhanced near-infrared transmission through periodic H-shaped arrays,” Phys. Lett. A 365(5-6), 510–513 (2007).
[CrossRef]

Kang, J. H.

J. W. Lee, M. A. Seo, D. S. Kim, J. H. Kang, and Q.-H. Park, “Polarization dependent transmission through asymmetric C-shaped holes,” Appl. Phys. Lett. 94(8), 081102 (2009).
[CrossRef]

Kim, D. S.

J. W. Lee, M. A. Seo, D. S. Kim, J. H. Kang, and Q.-H. Park, “Polarization dependent transmission through asymmetric C-shaped holes,” Appl. Phys. Lett. 94(8), 081102 (2009).
[CrossRef]

Koerkamp, K.

K. Koerkamp, S. Enoch, F. Segerink, N. van Hulst, and L. Kuipers, “Strong Influence of Hole Shape on Extraordinary Transmission through Periodic Arrays of Subwavelength Holes,” Phys. Rev. Lett. 92(18), 183901 (2004).
[CrossRef] [PubMed]

Kuipers, L.

K. Koerkamp, S. Enoch, F. Segerink, N. van Hulst, and L. Kuipers, “Strong Influence of Hole Shape on Extraordinary Transmission through Periodic Arrays of Subwavelength Holes,” Phys. Rev. Lett. 92(18), 183901 (2004).
[CrossRef] [PubMed]

Lalanne, P.

H. T. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452(7188), 728–731 (2008).
[CrossRef] [PubMed]

Lee, J. W.

J. W. Lee, M. A. Seo, D. S. Kim, J. H. Kang, and Q.-H. Park, “Polarization dependent transmission through asymmetric C-shaped holes,” Appl. Phys. Lett. 94(8), 081102 (2009).
[CrossRef]

Lee, S.-C.

Lezec, H.

H. Ghaemi, T. Thio, D. Grupp, T. Ebbesen, and H. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
[CrossRef]

Lezec, H. J.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[CrossRef]

Li, Z.

M. Sun, R. Liu, Z. Li, B. Cheng, D. Zhang, H. Yang, and A. Jin, “Enhanced near-infrared transmission through periodic H-shaped arrays,” Phys. Lett. A 365(5-6), 510–513 (2007).
[CrossRef]

Li, Z.-Y.

R.-J. Liu, J.-X. Fu, and Z.-Y. Li, “Near-field analysis of the transmission properties of subwavelength periodic H-shaped arrays in thin metal film,” J. Opt. 12(6), 065002 (2010).
[CrossRef]

Liu, H. T.

H. T. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452(7188), 728–731 (2008).
[CrossRef] [PubMed]

Liu, R.

M. Sun, R. Liu, Z. Li, B. Cheng, D. Zhang, H. Yang, and A. Jin, “Enhanced near-infrared transmission through periodic H-shaped arrays,” Phys. Lett. A 365(5-6), 510–513 (2007).
[CrossRef]

Liu, R.-J.

R.-J. Liu, J.-X. Fu, and Z.-Y. Li, “Near-field analysis of the transmission properties of subwavelength periodic H-shaped arrays in thin metal film,” J. Opt. 12(6), 065002 (2010).
[CrossRef]

Martín-Moreno, L.

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95(10), 103901 (2005).
[CrossRef] [PubMed]

Moreno, E.

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95(10), 103901 (2005).
[CrossRef] [PubMed]

Park, Q.-H.

J. W. Lee, M. A. Seo, D. S. Kim, J. H. Kang, and Q.-H. Park, “Polarization dependent transmission through asymmetric C-shaped holes,” Appl. Phys. Lett. 94(8), 081102 (2009).
[CrossRef]

Porto, J. A.

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95(10), 103901 (2005).
[CrossRef] [PubMed]

Segerink, F.

K. Koerkamp, S. Enoch, F. Segerink, N. van Hulst, and L. Kuipers, “Strong Influence of Hole Shape on Extraordinary Transmission through Periodic Arrays of Subwavelength Holes,” Phys. Rev. Lett. 92(18), 183901 (2004).
[CrossRef] [PubMed]

Seo, M. A.

J. W. Lee, M. A. Seo, D. S. Kim, J. H. Kang, and Q.-H. Park, “Polarization dependent transmission through asymmetric C-shaped holes,” Appl. Phys. Lett. 94(8), 081102 (2009).
[CrossRef]

Sun, M.

M. Sun, R. Liu, Z. Li, B. Cheng, D. Zhang, H. Yang, and A. Jin, “Enhanced near-infrared transmission through periodic H-shaped arrays,” Phys. Lett. A 365(5-6), 510–513 (2007).
[CrossRef]

Thio, T.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[CrossRef]

H. Ghaemi, T. Thio, D. Grupp, T. Ebbesen, and H. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
[CrossRef]

Tsai, M.-W.

Tzuang, L. D.

Ulrich, R.

R. Ulrich, “Far-infrared properties of metallic mesh and its complementary structure,” Infrared Phys. 7(1), 37–55 (1967).
[CrossRef]

van Exter, M. P.

van Hulst, N.

K. Koerkamp, S. Enoch, F. Segerink, N. van Hulst, and L. Kuipers, “Strong Influence of Hole Shape on Extraordinary Transmission through Periodic Arrays of Subwavelength Holes,” Phys. Rev. Lett. 92(18), 183901 (2004).
[CrossRef] [PubMed]

Whitbourn, L. B.

Woerdman, J. P.

Wolff, P. A.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[CrossRef]

Wu, Y.-T.

Yang, H.

M. Sun, R. Liu, Z. Li, B. Cheng, D. Zhang, H. Yang, and A. Jin, “Enhanced near-infrared transmission through periodic H-shaped arrays,” Phys. Lett. A 365(5-6), 510–513 (2007).
[CrossRef]

Ye, Y.-H.

Zhang, D.

M. Sun, R. Liu, Z. Li, B. Cheng, D. Zhang, H. Yang, and A. Jin, “Enhanced near-infrared transmission through periodic H-shaped arrays,” Phys. Lett. A 365(5-6), 510–513 (2007).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

J. W. Lee, M. A. Seo, D. S. Kim, J. H. Kang, and Q.-H. Park, “Polarization dependent transmission through asymmetric C-shaped holes,” Appl. Phys. Lett. 94(8), 081102 (2009).
[CrossRef]

Infrared Phys. (1)

R. Ulrich, “Far-infrared properties of metallic mesh and its complementary structure,” Infrared Phys. 7(1), 37–55 (1967).
[CrossRef]

J. Opt. (1)

R.-J. Liu, J.-X. Fu, and Z.-Y. Li, “Near-field analysis of the transmission properties of subwavelength periodic H-shaped arrays in thin metal film,” J. Opt. 12(6), 065002 (2010).
[CrossRef]

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

Nature (2)

H. T. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452(7188), 728–731 (2008).
[CrossRef] [PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[CrossRef]

Opt. Express (1)

Phys. Lett. A (1)

M. Sun, R. Liu, Z. Li, B. Cheng, D. Zhang, H. Yang, and A. Jin, “Enhanced near-infrared transmission through periodic H-shaped arrays,” Phys. Lett. A 365(5-6), 510–513 (2007).
[CrossRef]

Phys. Rev. B (1)

H. Ghaemi, T. Thio, D. Grupp, T. Ebbesen, and H. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
[CrossRef]

Phys. Rev. Lett. (2)

K. Koerkamp, S. Enoch, F. Segerink, N. van Hulst, and L. Kuipers, “Strong Influence of Hole Shape on Extraordinary Transmission through Periodic Arrays of Subwavelength Holes,” Phys. Rev. Lett. 92(18), 183901 (2004).
[CrossRef] [PubMed]

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95(10), 103901 (2005).
[CrossRef] [PubMed]

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Figures (7)

Fig. 1
Fig. 1

Definition of the parameters of H-shaped hole arrays in a square lattice, (a) top view and (b) side view.

Fig. 2
Fig. 2

(a) Top view and structure parameter of samples 1 to 3. (b) Zero-order transmission spectra at normal incidence of samples 1, 2, 3. The vertical red dash line represents the theoretical position of degenerated (1, 0) Ag/Si mode.

Fig. 3
Fig. 3

The dispersion relation of transmission spectra and their modes analysis for samples (a)1, (b)2, (c)3. The green and red dash lines are theoretically calculated curves of LSR and Ag/Si SP modes, respectively.

Fig. 4
Fig. 4

(a) Top view and structure parameter of samples 4 to 6. (b) Zero-order transmission spectra at normal incidence of samples 3 to 6. The vertical red dash line represents the calculated position of degenerated (1, 0) Ag/Si mode.

Fig. 5
Fig. 5

Top view and structure parameters of samples (a) 7 to 9 and (b) 10 to 12.

Fig. 6
Fig. 6

The dispersion relation of transmission spectra for samples (a) 7, (b) 8, (c) 9, (d) 10, (e) 11, (f) 12 with their mode analyses. The red dash lines are Ag/Si SP modes. The green and blue dash lines represent calculated LSR modes with different Lres.

Fig. 7
Fig. 7

Zero-order transmission spectra at normal incidence with x- and y-polarized light for samples (a)3, (b)4, (c)7, (d)9, respectively. The vertical red dash line represents the theoretical position of degenerated Ag/Si mode.

Tables (1)

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Table 1 Measured and theoretical LSR position of sample 1 to 6

Equations (1)

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λ r e s = λ c u t o f f = 2 n e f f L r e s m , n e f f = n s i 2 + n a i r 2 2 , m = 1, 2, 3,  ...

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