Abstract

We theoretically investigate the electromagnetic response of mixed-size sub-wavelength square hole array (M-SHA) combined with thick metal layer (TML). Near-perfect absorption with bandwidth about 17nm is firstly observed. Field distribution and dispersion relationship indicate that mixed surface plasmons (M-SPs) coupling is supported by M-SHA and TML. The absorption band is proved to be dominated by M-SPs coupling.

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    [CrossRef] [PubMed]
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  19. W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54(9), 6227–6244 (1996).
    [CrossRef]
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    [CrossRef]

2008

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[CrossRef] [PubMed]

H. Tao, N. I. Landy, C. M. Bingham, X. Zhang, R. D. Averitt, and W. J. Padilla, “A meta-material absorber for the terahertz regime: Design, fabrication and characterization,” Opt. Express 16(10), 7181 (2008).
[CrossRef] [PubMed]

C. M. Tao, A. C. Bingham, D. Strikwerda, D. Pilon, N. I. Shrekenhamer, K. Landy, X. Fan, W. Zhang, J. Padilla, and R. D. Averitt, “Highly flexible wide angle of incidence terahertz metamaterial absorber: Design, fabrication, and characterization,” Phys. Rev. B 78(24), 241103 (2008).
[CrossRef]

2005

V. M. Shalaev, W. Cai, U. K. Chettiar, H. K. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30(24), 3356–3358 (2005).
[CrossRef]

G. Dolling, C. Enkrich, M. Wegener, J. F. Zhou, C. M. Soukoulis, and S. Linden, “Cut-wire pairs and plate pairs as magnetic atoms for optical metamaterials,” Opt. Lett. 30(23), 3198–3200 (2005).
[CrossRef] [PubMed]

Y. P. Bliokh, J. Felsteiner, and Y. Z. Slutsker, “Total absorption of an electromagnetic wave by an overdense plasma,” Phys. Rev. Lett. 95(16), 165003 (2005).
[CrossRef] [PubMed]

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of sub-wavelength holes: Experiment and theory,” Phys. Rev. B 72(4), 045421 (2005).
[CrossRef]

2004

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, “Efficient light absorption in metal-semiconductor-metal nanostructures,” Appl. Phys. Lett. 85(2), 194–196 (2004).
[CrossRef]

K. J. Koerkamp, S. Enoch, F. B. Segerink, N. F. 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]

2002

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

1998

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]

1996

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54(9), 6227–6244 (1996).
[CrossRef]

1994

1992

E. Popov and L. Tsonev, “Comment on ‘Resonant electric field enhancement in the vicinity of a bare metallic grating exposed to s-polarized light by A.A. Maradudin and A. Wirgin’ Anomalous light absorption by lamellar metallic gratings,” Surf. Sci. Lett. 271(3), L378–L382 (1992).
[CrossRef]

1976

M. C. Hutley and D. Maystre, “The total absorption of light by a diffraction grating,” Opt. Commun. 19(3), 431–436 (1976).
[CrossRef]

1972

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[CrossRef]

1968

A. Otto, “Exitation of non-radiative surface plasma waves in silver by the method of frustrated total reflection,” Z. Phys. 216(4), 398–410 (1968).
[CrossRef]

Averitt, R. D.

H. Tao, N. I. Landy, C. M. Bingham, X. Zhang, R. D. Averitt, and W. J. Padilla, “A meta-material absorber for the terahertz regime: Design, fabrication and characterization,” Opt. Express 16(10), 7181 (2008).
[CrossRef] [PubMed]

C. M. Tao, A. C. Bingham, D. Strikwerda, D. Pilon, N. I. Shrekenhamer, K. Landy, X. Fan, W. Zhang, J. Padilla, and R. D. Averitt, “Highly flexible wide angle of incidence terahertz metamaterial absorber: Design, fabrication, and characterization,” Phys. Rev. B 78(24), 241103 (2008).
[CrossRef]

Barnes, W. L.

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54(9), 6227–6244 (1996).
[CrossRef]

Bingham, A. C.

C. M. Tao, A. C. Bingham, D. Strikwerda, D. Pilon, N. I. Shrekenhamer, K. Landy, X. Fan, W. Zhang, J. Padilla, and R. D. Averitt, “Highly flexible wide angle of incidence terahertz metamaterial absorber: Design, fabrication, and characterization,” Phys. Rev. B 78(24), 241103 (2008).
[CrossRef]

Bingham, C. M.

Bliokh, Y. P.

Y. P. Bliokh, J. Felsteiner, and Y. Z. Slutsker, “Total absorption of an electromagnetic wave by an overdense plasma,” Phys. Rev. Lett. 95(16), 165003 (2005).
[CrossRef] [PubMed]

Cai, W.

Carminati, R.

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

Chen, Y.

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

Chettiar, U. K.

Christy, R. W.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[CrossRef]

Collin, S.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, “Efficient light absorption in metal-semiconductor-metal nanostructures,” Appl. Phys. Lett. 85(2), 194–196 (2004).
[CrossRef]

Dolling, G.

Drachev, V. P.

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]

Enkrich, C.

Enoch, S.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of sub-wavelength holes: Experiment and theory,” Phys. Rev. B 72(4), 045421 (2005).
[CrossRef]

K. J. Koerkamp, S. Enoch, F. B. Segerink, N. F. 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]

Fan, X.

C. M. Tao, A. C. Bingham, D. Strikwerda, D. Pilon, N. I. Shrekenhamer, K. Landy, X. Fan, W. Zhang, J. Padilla, and R. D. Averitt, “Highly flexible wide angle of incidence terahertz metamaterial absorber: Design, fabrication, and characterization,” Phys. Rev. B 78(24), 241103 (2008).
[CrossRef]

Felsteiner, J.

Y. P. Bliokh, J. Felsteiner, and Y. Z. Slutsker, “Total absorption of an electromagnetic wave by an overdense plasma,” Phys. Rev. Lett. 95(16), 165003 (2005).
[CrossRef] [PubMed]

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]

Greffet, J. J.

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

Hutley, M. C.

M. C. Hutley and D. Maystre, “The total absorption of light by a diffraction grating,” Opt. Commun. 19(3), 431–436 (1976).
[CrossRef]

Johnson, P. B.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[CrossRef]

Joulain, K.

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

Kildishev, A. V.

Kitson, S. C.

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54(9), 6227–6244 (1996).
[CrossRef]

Klein Koerkamp, K. J.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of sub-wavelength holes: Experiment and theory,” Phys. Rev. B 72(4), 045421 (2005).
[CrossRef]

Koerkamp, K. J.

K. J. Koerkamp, S. Enoch, F. B. Segerink, N. F. 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. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of sub-wavelength holes: Experiment and theory,” Phys. Rev. B 72(4), 045421 (2005).
[CrossRef]

K. J. Koerkamp, S. Enoch, F. B. Segerink, N. F. 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]

Landy, K.

C. M. Tao, A. C. Bingham, D. Strikwerda, D. Pilon, N. I. Shrekenhamer, K. Landy, X. Fan, W. Zhang, J. Padilla, and R. D. Averitt, “Highly flexible wide angle of incidence terahertz metamaterial absorber: Design, fabrication, and characterization,” Phys. Rev. B 78(24), 241103 (2008).
[CrossRef]

Landy, N. I.

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]

Linden, S.

Mainguy, S.

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

Maystre, D.

E. Popov, L. Tsonev, and D. Maystre, “Lamellar metallic grating anomalies,” Appl. Opt. 33(22), 5214–5219 (1994).
[CrossRef] [PubMed]

M. C. Hutley and D. Maystre, “The total absorption of light by a diffraction grating,” Opt. Commun. 19(3), 431–436 (1976).
[CrossRef]

Mock, J. J.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[CrossRef] [PubMed]

Mulet, J. P.

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

Otto, A.

A. Otto, “Exitation of non-radiative surface plasma waves in silver by the method of frustrated total reflection,” Z. Phys. 216(4), 398–410 (1968).
[CrossRef]

Padilla, J.

C. M. Tao, A. C. Bingham, D. Strikwerda, D. Pilon, N. I. Shrekenhamer, K. Landy, X. Fan, W. Zhang, J. Padilla, and R. D. Averitt, “Highly flexible wide angle of incidence terahertz metamaterial absorber: Design, fabrication, and characterization,” Phys. Rev. B 78(24), 241103 (2008).
[CrossRef]

Padilla, W. J.

Pardo, F.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, “Efficient light absorption in metal-semiconductor-metal nanostructures,” Appl. Phys. Lett. 85(2), 194–196 (2004).
[CrossRef]

Pelouard, J. L.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, “Efficient light absorption in metal-semiconductor-metal nanostructures,” Appl. Phys. Lett. 85(2), 194–196 (2004).
[CrossRef]

Pilon, D.

C. M. Tao, A. C. Bingham, D. Strikwerda, D. Pilon, N. I. Shrekenhamer, K. Landy, X. Fan, W. Zhang, J. Padilla, and R. D. Averitt, “Highly flexible wide angle of incidence terahertz metamaterial absorber: Design, fabrication, and characterization,” Phys. Rev. B 78(24), 241103 (2008).
[CrossRef]

Popov, E.

E. Popov, L. Tsonev, and D. Maystre, “Lamellar metallic grating anomalies,” Appl. Opt. 33(22), 5214–5219 (1994).
[CrossRef] [PubMed]

E. Popov and L. Tsonev, “Comment on ‘Resonant electric field enhancement in the vicinity of a bare metallic grating exposed to s-polarized light by A.A. Maradudin and A. Wirgin’ Anomalous light absorption by lamellar metallic gratings,” Surf. Sci. Lett. 271(3), L378–L382 (1992).
[CrossRef]

Preist, T. W.

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54(9), 6227–6244 (1996).
[CrossRef]

Sajuyigbe, S.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[CrossRef] [PubMed]

Sambles, J. R.

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54(9), 6227–6244 (1996).
[CrossRef]

Sarychev, A. K.

Segerink, F. B.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of sub-wavelength holes: Experiment and theory,” Phys. Rev. B 72(4), 045421 (2005).
[CrossRef]

K. J. Koerkamp, S. Enoch, F. B. Segerink, N. F. 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]

Shalaev, V. M.

Shrekenhamer, N. I.

C. M. Tao, A. C. Bingham, D. Strikwerda, D. Pilon, N. I. Shrekenhamer, K. Landy, X. Fan, W. Zhang, J. Padilla, and R. D. Averitt, “Highly flexible wide angle of incidence terahertz metamaterial absorber: Design, fabrication, and characterization,” Phys. Rev. B 78(24), 241103 (2008).
[CrossRef]

Slutsker, Y. Z.

Y. P. Bliokh, J. Felsteiner, and Y. Z. Slutsker, “Total absorption of an electromagnetic wave by an overdense plasma,” Phys. Rev. Lett. 95(16), 165003 (2005).
[CrossRef] [PubMed]

Smith, D. R.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[CrossRef] [PubMed]

Soukoulis, C. M.

Strikwerda, D.

C. M. Tao, A. C. Bingham, D. Strikwerda, D. Pilon, N. I. Shrekenhamer, K. Landy, X. Fan, W. Zhang, J. Padilla, and R. D. Averitt, “Highly flexible wide angle of incidence terahertz metamaterial absorber: Design, fabrication, and characterization,” Phys. Rev. B 78(24), 241103 (2008).
[CrossRef]

Tao, C. M.

C. M. Tao, A. C. Bingham, D. Strikwerda, D. Pilon, N. I. Shrekenhamer, K. Landy, X. Fan, W. Zhang, J. Padilla, and R. D. Averitt, “Highly flexible wide angle of incidence terahertz metamaterial absorber: Design, fabrication, and characterization,” Phys. Rev. B 78(24), 241103 (2008).
[CrossRef]

Tao, H.

Teissier, R.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, “Efficient light absorption in metal-semiconductor-metal nanostructures,” Appl. Phys. Lett. 85(2), 194–196 (2004).
[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]

Tsonev, L.

E. Popov, L. Tsonev, and D. Maystre, “Lamellar metallic grating anomalies,” Appl. Opt. 33(22), 5214–5219 (1994).
[CrossRef] [PubMed]

E. Popov and L. Tsonev, “Comment on ‘Resonant electric field enhancement in the vicinity of a bare metallic grating exposed to s-polarized light by A.A. Maradudin and A. Wirgin’ Anomalous light absorption by lamellar metallic gratings,” Surf. Sci. Lett. 271(3), L378–L382 (1992).
[CrossRef]

van der Molen, K. L.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of sub-wavelength holes: Experiment and theory,” Phys. Rev. B 72(4), 045421 (2005).
[CrossRef]

van Hulst, N. F.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of sub-wavelength holes: Experiment and theory,” Phys. Rev. B 72(4), 045421 (2005).
[CrossRef]

K. J. Koerkamp, S. Enoch, F. B. Segerink, N. F. 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]

Wegener, M.

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]

Yuan, H. K.

Zhang, W.

C. M. Tao, A. C. Bingham, D. Strikwerda, D. Pilon, N. I. Shrekenhamer, K. Landy, X. Fan, W. Zhang, J. Padilla, and R. D. Averitt, “Highly flexible wide angle of incidence terahertz metamaterial absorber: Design, fabrication, and characterization,” Phys. Rev. B 78(24), 241103 (2008).
[CrossRef]

Zhang, X.

Zhou, J. F.

Appl. Opt.

Appl. Phys. Lett.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, “Efficient light absorption in metal-semiconductor-metal nanostructures,” Appl. Phys. Lett. 85(2), 194–196 (2004).
[CrossRef]

Nature

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[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. Commun.

M. C. Hutley and D. Maystre, “The total absorption of light by a diffraction grating,” Opt. Commun. 19(3), 431–436 (1976).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. B

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[CrossRef]

Phys. Rev. Lett.

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Figures (4)

Fig. 1
Fig. 1

Schematic drawing of M-SHA combined with TML. (a) Top view. (b) Section view located at the dash-dot line marked in (a). In simulation, the dielectric material is set to be SiO2 with permittivity of 2.1. The whole structure is embedded into free space.

Fig. 2
Fig. 2

(Color Online) Spectra of M-SHA combined with ML. Red solid line, black dash line and blue dot line represents absorption (A), reflection (R) and transmission (T), respectively. R = |S11 |2 and T = |S21 |2, where S11 and S21 are simulated S parameters (the complex reflection and transmission coefficients). A is simply calculated by A = 1-R-T. Δλ represents the width of absorption band. 591.72nm and 608.84nm represent respective SPs coupling wavelength.

Fig. 3
Fig. 3

(Color Online) Distribution of the electric field densities at (a) 591.72nm, (b) 608.84nm and (c) 600nm. Only one period is shown. All distributions are recorded on the top surface of the M-SHA. The black solid lines show the configuration of M-SHA. (a), (b) and (c) share the same color bar. (d) Dispersion diagram at the interface of M-SHA and free space. k0 represents light line. The upper frequency f+ and lower frequency f- represent the edges of Near-PA band.

Fig. 4
Fig. 4

(Color Online) The influence of the dimension of b on the electromagnetic behavior of M-SHA combined with TML. Solid line: b = 108nm, dot line: b = 112nm and dash line: b = 116nm.

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