Abstract

We demonstrated that a broad and robust absorption band for a wide range of incidence angles and for both polarizations can be realized using a one-dimensional metallic-dielectric quasi-periodic structure, when the thickness of the constituent metal is comparable to its skin depth. The absorptance in such peculiar structure can exceed 99% to meet different applications. Furthermore, employing the effective medium approach, a theoretical expression has been deduced to instruct the working frequency of the absorption band. By tuning the permittivity and thickness of the constituent layers, the robust absorption band can cover the wavelength from the visible to the near-infrared.

© 2006 Optical Society of America

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  1. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
    [CrossRef] [PubMed]
  2. J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996).
    [CrossRef]
  3. J. G. Fleming, S. Y. Lin, I. El-Kady, R. Biswas, and K. M. Ho, "All-metallic three-dimensional photonic crystals with a large infrared bandgap," Nature 417, 52-55 (2002).
    [CrossRef]
  4. C. Luo, A. Narayanaswamy, G. Chen, and J. D. Joannopoulos, "Thermal radiation from photonic crystals: a direct calculation," Phys. Rev. Lett. 93, 213905 (2004).
    [CrossRef] [PubMed]
  5. S. Y. Lin, J. G. Fleming, Z. Y. Li, I. El-Kady, R. Biswas, and K. M. Ho, "Origin of absorption enhancement in a tungsten, three-dimensional photonic crystal," J. Opt. Soc. Am. B 20, 1538-1541 (2003).
    [CrossRef]
  6. S. Y. Lin, J. G. Fleming, and I. El-Kady, "Highly efficient light emission at λ=1.5 μm by a three-dimensional tungsten photonic crystal," Opt. Lett. 28, 1683-1685 (2003).
    [CrossRef] [PubMed]
  7. G. Veronis, R. W. Dutton, and S. Fan, "Metallic photonic crystals with strong broadband absorption at optical frequencies over wide angular range," J. Appl. Phys. 97, 093104 (2005).
    [CrossRef]
  8. J. F. Yu, Y. F. Shen, X. H. Liu, R. T. Fu, J. Zi, and Z. Q. Zhu, "Absorption in one-dimensional metallic-dielectric photonic crystals," J. Phys.: Condens. Matter 16, L51-L56 (2004).
    [CrossRef]
  9. A. Narayanaswamy and G. Chen, "Thermal emission control with one-dimensional metallodielectric photonic crystals," Phys. Rev. B 70, 125101 (2004).
    [CrossRef]
  10. P. Tran, "Optical switching with a nonlinear photonic crystal: a numerical study," Opt. Lett. 21, 1138-1140 (1996).
    [CrossRef]
  11. Q. M. Li, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Wave propagation in nonlinear photonic band-gap materials," Phys. Rev. B. 53, 15577-15585 (1996).
    [CrossRef]
  12. X. Y. Hu, Y. H. Liu, J. Tian, B. Y. Cheng, and D. Z. Zhang, "Ultrafast all-optical switching in two-dimensional organic photonic crystal," Appl. Phys. Lett. 86, 121102 (2005).
    [CrossRef]
  13. G. Q. Liang, P. Han, and H. Z. Wang, "Narrow frequency and sharp angular defect mode in one-dimensional photonic crystals from a photonic heterostructure," Opt. Lett. 29, 192-194 (2004).
    [CrossRef] [PubMed]
  14. G. Q. Liang, J. W. Dong, and H. Z. Wang, "Tunable sharp angular defect mode with invariant transmitted frequency range in one-dimensional photonic crystals containing negative index materials," Phys. Rev. E. 71, 066610 (2005).
  15. J. W. Dong, P. Han, and H. Z. Wang, "Broad omnidirectional reflection band forming using the combination of fibonacci quasi-periodic and periodic one-dimensional photonic crystals," Chin. Phys. Lett. 20, 1963-1965 (2003).
  16. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).
  17. E. D. Palik, ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985).

2005

G. Veronis, R. W. Dutton, and S. Fan, "Metallic photonic crystals with strong broadband absorption at optical frequencies over wide angular range," J. Appl. Phys. 97, 093104 (2005).
[CrossRef]

X. Y. Hu, Y. H. Liu, J. Tian, B. Y. Cheng, and D. Z. Zhang, "Ultrafast all-optical switching in two-dimensional organic photonic crystal," Appl. Phys. Lett. 86, 121102 (2005).
[CrossRef]

G. Q. Liang, J. W. Dong, and H. Z. Wang, "Tunable sharp angular defect mode with invariant transmitted frequency range in one-dimensional photonic crystals containing negative index materials," Phys. Rev. E. 71, 066610 (2005).

2004

G. Q. Liang, P. Han, and H. Z. Wang, "Narrow frequency and sharp angular defect mode in one-dimensional photonic crystals from a photonic heterostructure," Opt. Lett. 29, 192-194 (2004).
[CrossRef] [PubMed]

J. F. Yu, Y. F. Shen, X. H. Liu, R. T. Fu, J. Zi, and Z. Q. Zhu, "Absorption in one-dimensional metallic-dielectric photonic crystals," J. Phys.: Condens. Matter 16, L51-L56 (2004).
[CrossRef]

A. Narayanaswamy and G. Chen, "Thermal emission control with one-dimensional metallodielectric photonic crystals," Phys. Rev. B 70, 125101 (2004).
[CrossRef]

C. Luo, A. Narayanaswamy, G. Chen, and J. D. Joannopoulos, "Thermal radiation from photonic crystals: a direct calculation," Phys. Rev. Lett. 93, 213905 (2004).
[CrossRef] [PubMed]

2003

2002

J. G. Fleming, S. Y. Lin, I. El-Kady, R. Biswas, and K. M. Ho, "All-metallic three-dimensional photonic crystals with a large infrared bandgap," Nature 417, 52-55 (2002).
[CrossRef]

1996

J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996).
[CrossRef]

P. Tran, "Optical switching with a nonlinear photonic crystal: a numerical study," Opt. Lett. 21, 1138-1140 (1996).
[CrossRef]

Q. M. Li, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Wave propagation in nonlinear photonic band-gap materials," Phys. Rev. B. 53, 15577-15585 (1996).
[CrossRef]

1987

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

Bendickson, J. M.

J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996).
[CrossRef]

Biswas, R.

S. Y. Lin, J. G. Fleming, Z. Y. Li, I. El-Kady, R. Biswas, and K. M. Ho, "Origin of absorption enhancement in a tungsten, three-dimensional photonic crystal," J. Opt. Soc. Am. B 20, 1538-1541 (2003).
[CrossRef]

J. G. Fleming, S. Y. Lin, I. El-Kady, R. Biswas, and K. M. Ho, "All-metallic three-dimensional photonic crystals with a large infrared bandgap," Nature 417, 52-55 (2002).
[CrossRef]

Chan, C. T.

Q. M. Li, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Wave propagation in nonlinear photonic band-gap materials," Phys. Rev. B. 53, 15577-15585 (1996).
[CrossRef]

Chen, G.

A. Narayanaswamy and G. Chen, "Thermal emission control with one-dimensional metallodielectric photonic crystals," Phys. Rev. B 70, 125101 (2004).
[CrossRef]

C. Luo, A. Narayanaswamy, G. Chen, and J. D. Joannopoulos, "Thermal radiation from photonic crystals: a direct calculation," Phys. Rev. Lett. 93, 213905 (2004).
[CrossRef] [PubMed]

Cheng, B. Y.

X. Y. Hu, Y. H. Liu, J. Tian, B. Y. Cheng, and D. Z. Zhang, "Ultrafast all-optical switching in two-dimensional organic photonic crystal," Appl. Phys. Lett. 86, 121102 (2005).
[CrossRef]

Dong, J. W.

G. Q. Liang, J. W. Dong, and H. Z. Wang, "Tunable sharp angular defect mode with invariant transmitted frequency range in one-dimensional photonic crystals containing negative index materials," Phys. Rev. E. 71, 066610 (2005).

J. W. Dong, P. Han, and H. Z. Wang, "Broad omnidirectional reflection band forming using the combination of fibonacci quasi-periodic and periodic one-dimensional photonic crystals," Chin. Phys. Lett. 20, 1963-1965 (2003).

Dowling, J. P.

J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996).
[CrossRef]

Dutton, R. W.

G. Veronis, R. W. Dutton, and S. Fan, "Metallic photonic crystals with strong broadband absorption at optical frequencies over wide angular range," J. Appl. Phys. 97, 093104 (2005).
[CrossRef]

El-Kady, I.

Fan, S.

G. Veronis, R. W. Dutton, and S. Fan, "Metallic photonic crystals with strong broadband absorption at optical frequencies over wide angular range," J. Appl. Phys. 97, 093104 (2005).
[CrossRef]

Fleming, J. G.

Fu, R. T.

J. F. Yu, Y. F. Shen, X. H. Liu, R. T. Fu, J. Zi, and Z. Q. Zhu, "Absorption in one-dimensional metallic-dielectric photonic crystals," J. Phys.: Condens. Matter 16, L51-L56 (2004).
[CrossRef]

Han, P.

G. Q. Liang, P. Han, and H. Z. Wang, "Narrow frequency and sharp angular defect mode in one-dimensional photonic crystals from a photonic heterostructure," Opt. Lett. 29, 192-194 (2004).
[CrossRef] [PubMed]

J. W. Dong, P. Han, and H. Z. Wang, "Broad omnidirectional reflection band forming using the combination of fibonacci quasi-periodic and periodic one-dimensional photonic crystals," Chin. Phys. Lett. 20, 1963-1965 (2003).

Ho, K. M.

S. Y. Lin, J. G. Fleming, Z. Y. Li, I. El-Kady, R. Biswas, and K. M. Ho, "Origin of absorption enhancement in a tungsten, three-dimensional photonic crystal," J. Opt. Soc. Am. B 20, 1538-1541 (2003).
[CrossRef]

J. G. Fleming, S. Y. Lin, I. El-Kady, R. Biswas, and K. M. Ho, "All-metallic three-dimensional photonic crystals with a large infrared bandgap," Nature 417, 52-55 (2002).
[CrossRef]

Q. M. Li, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Wave propagation in nonlinear photonic band-gap materials," Phys. Rev. B. 53, 15577-15585 (1996).
[CrossRef]

Hu, X. Y.

X. Y. Hu, Y. H. Liu, J. Tian, B. Y. Cheng, and D. Z. Zhang, "Ultrafast all-optical switching in two-dimensional organic photonic crystal," Appl. Phys. Lett. 86, 121102 (2005).
[CrossRef]

Joannopoulos, J. D.

C. Luo, A. Narayanaswamy, G. Chen, and J. D. Joannopoulos, "Thermal radiation from photonic crystals: a direct calculation," Phys. Rev. Lett. 93, 213905 (2004).
[CrossRef] [PubMed]

Li, Q. M.

Q. M. Li, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Wave propagation in nonlinear photonic band-gap materials," Phys. Rev. B. 53, 15577-15585 (1996).
[CrossRef]

Li, Z. Y.

Liang, G. Q.

G. Q. Liang, J. W. Dong, and H. Z. Wang, "Tunable sharp angular defect mode with invariant transmitted frequency range in one-dimensional photonic crystals containing negative index materials," Phys. Rev. E. 71, 066610 (2005).

G. Q. Liang, P. Han, and H. Z. Wang, "Narrow frequency and sharp angular defect mode in one-dimensional photonic crystals from a photonic heterostructure," Opt. Lett. 29, 192-194 (2004).
[CrossRef] [PubMed]

Lin, S. Y.

Liu, X. H.

J. F. Yu, Y. F. Shen, X. H. Liu, R. T. Fu, J. Zi, and Z. Q. Zhu, "Absorption in one-dimensional metallic-dielectric photonic crystals," J. Phys.: Condens. Matter 16, L51-L56 (2004).
[CrossRef]

Liu, Y. H.

X. Y. Hu, Y. H. Liu, J. Tian, B. Y. Cheng, and D. Z. Zhang, "Ultrafast all-optical switching in two-dimensional organic photonic crystal," Appl. Phys. Lett. 86, 121102 (2005).
[CrossRef]

Luo, C.

C. Luo, A. Narayanaswamy, G. Chen, and J. D. Joannopoulos, "Thermal radiation from photonic crystals: a direct calculation," Phys. Rev. Lett. 93, 213905 (2004).
[CrossRef] [PubMed]

Narayanaswamy, A.

C. Luo, A. Narayanaswamy, G. Chen, and J. D. Joannopoulos, "Thermal radiation from photonic crystals: a direct calculation," Phys. Rev. Lett. 93, 213905 (2004).
[CrossRef] [PubMed]

A. Narayanaswamy and G. Chen, "Thermal emission control with one-dimensional metallodielectric photonic crystals," Phys. Rev. B 70, 125101 (2004).
[CrossRef]

Scalora, M.

J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996).
[CrossRef]

Shen, Y. F.

J. F. Yu, Y. F. Shen, X. H. Liu, R. T. Fu, J. Zi, and Z. Q. Zhu, "Absorption in one-dimensional metallic-dielectric photonic crystals," J. Phys.: Condens. Matter 16, L51-L56 (2004).
[CrossRef]

Soukoulis, C. M.

Q. M. Li, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Wave propagation in nonlinear photonic band-gap materials," Phys. Rev. B. 53, 15577-15585 (1996).
[CrossRef]

Tian, J.

X. Y. Hu, Y. H. Liu, J. Tian, B. Y. Cheng, and D. Z. Zhang, "Ultrafast all-optical switching in two-dimensional organic photonic crystal," Appl. Phys. Lett. 86, 121102 (2005).
[CrossRef]

Tran, P.

Veronis, G.

G. Veronis, R. W. Dutton, and S. Fan, "Metallic photonic crystals with strong broadband absorption at optical frequencies over wide angular range," J. Appl. Phys. 97, 093104 (2005).
[CrossRef]

Wang, H. Z.

G. Q. Liang, J. W. Dong, and H. Z. Wang, "Tunable sharp angular defect mode with invariant transmitted frequency range in one-dimensional photonic crystals containing negative index materials," Phys. Rev. E. 71, 066610 (2005).

G. Q. Liang, P. Han, and H. Z. Wang, "Narrow frequency and sharp angular defect mode in one-dimensional photonic crystals from a photonic heterostructure," Opt. Lett. 29, 192-194 (2004).
[CrossRef] [PubMed]

J. W. Dong, P. Han, and H. Z. Wang, "Broad omnidirectional reflection band forming using the combination of fibonacci quasi-periodic and periodic one-dimensional photonic crystals," Chin. Phys. Lett. 20, 1963-1965 (2003).

Yablonovitch, E.

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

Yu, J. F.

J. F. Yu, Y. F. Shen, X. H. Liu, R. T. Fu, J. Zi, and Z. Q. Zhu, "Absorption in one-dimensional metallic-dielectric photonic crystals," J. Phys.: Condens. Matter 16, L51-L56 (2004).
[CrossRef]

Zhang, D. Z.

X. Y. Hu, Y. H. Liu, J. Tian, B. Y. Cheng, and D. Z. Zhang, "Ultrafast all-optical switching in two-dimensional organic photonic crystal," Appl. Phys. Lett. 86, 121102 (2005).
[CrossRef]

Zhu, Z. Q.

J. F. Yu, Y. F. Shen, X. H. Liu, R. T. Fu, J. Zi, and Z. Q. Zhu, "Absorption in one-dimensional metallic-dielectric photonic crystals," J. Phys.: Condens. Matter 16, L51-L56 (2004).
[CrossRef]

Zi, J.

J. F. Yu, Y. F. Shen, X. H. Liu, R. T. Fu, J. Zi, and Z. Q. Zhu, "Absorption in one-dimensional metallic-dielectric photonic crystals," J. Phys.: Condens. Matter 16, L51-L56 (2004).
[CrossRef]

Appl. Phys. Lett.

X. Y. Hu, Y. H. Liu, J. Tian, B. Y. Cheng, and D. Z. Zhang, "Ultrafast all-optical switching in two-dimensional organic photonic crystal," Appl. Phys. Lett. 86, 121102 (2005).
[CrossRef]

Chin. Phys. Lett.

J. W. Dong, P. Han, and H. Z. Wang, "Broad omnidirectional reflection band forming using the combination of fibonacci quasi-periodic and periodic one-dimensional photonic crystals," Chin. Phys. Lett. 20, 1963-1965 (2003).

J. Appl. Phys.

G. Veronis, R. W. Dutton, and S. Fan, "Metallic photonic crystals with strong broadband absorption at optical frequencies over wide angular range," J. Appl. Phys. 97, 093104 (2005).
[CrossRef]

J. Opt. Soc. Am. B

J. Phys.: Condens. Matter

J. F. Yu, Y. F. Shen, X. H. Liu, R. T. Fu, J. Zi, and Z. Q. Zhu, "Absorption in one-dimensional metallic-dielectric photonic crystals," J. Phys.: Condens. Matter 16, L51-L56 (2004).
[CrossRef]

Nature

J. G. Fleming, S. Y. Lin, I. El-Kady, R. Biswas, and K. M. Ho, "All-metallic three-dimensional photonic crystals with a large infrared bandgap," Nature 417, 52-55 (2002).
[CrossRef]

Opt. Lett.

Phys. Rev. B

A. Narayanaswamy and G. Chen, "Thermal emission control with one-dimensional metallodielectric photonic crystals," Phys. Rev. B 70, 125101 (2004).
[CrossRef]

Phys. Rev. B.

Q. M. Li, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Wave propagation in nonlinear photonic band-gap materials," Phys. Rev. B. 53, 15577-15585 (1996).
[CrossRef]

Phys. Rev. E

J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996).
[CrossRef]

Phys. Rev. E.

G. Q. Liang, J. W. Dong, and H. Z. Wang, "Tunable sharp angular defect mode with invariant transmitted frequency range in one-dimensional photonic crystals containing negative index materials," Phys. Rev. E. 71, 066610 (2005).

Phys. Rev. Lett.

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

C. Luo, A. Narayanaswamy, G. Chen, and J. D. Joannopoulos, "Thermal radiation from photonic crystals: a direct calculation," Phys. Rev. Lett. 93, 213905 (2004).
[CrossRef] [PubMed]

Other

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).

E. D. Palik, ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985).

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Figures (4)

Fig. 1.
Fig. 1.

Photonic band structure of the (a) S2 (period), (b) S3 and (c) S4 structure, respectively. The real part of permittivity of tungsten and the low refractive index 1.38 of the dielectric layer are taken for calculation. The thicknesses of the metal and dielectric layers are taken to be 10 and 180 nm, respectively. Insets are the schematics of the unit cells of three corresponding Fibonacci MDQPS. The black regions represent the thin metallic layers while the gray regions represent the dielectric layers. The abscissa is in unit of π/a, where a is the lattice constant of an unit cell. K// means the component of wavevector paralleled to the interfaces.

Fig. 2.
Fig. 2.

Calculated absorption spectra (solid lines) for the S3 structures with 7 periods. The constituent metal is tungsten (a) and silver (b) respectively. The other parameters of the structures are the same as Fig. 1. The absorption spectra of a uniform tungsten (a) and silver (b) slab with a thickness equal to 100 nm (dashed lines) is shown as a reference.

Fig. 3.
Fig. 3.

(color online) Calculated absorption spectra for different order Fibonacci MDQPS with tungsten layer. The S2 , S3 , S5 , and S7 with period number 10, 7, 3 and 1 are shown by solid, dashed, dot and dashed-dot lines, respectively. The high absorption data above 96% is shown in the inset. The vertical dashed lines mark the wavelength range of the total absorption. The other parameters of the structures are the same as Fig. 1.

Fig. 4.
Fig. 4.

The angle-dependent absorption band (above 90%) of the S5 structure with tungsten metallic layer for both polarizations. The solid and hollow symbols represent the TE and TM polarization, respectively. The square and circle symbols represent the upper and lower edge of the strong absorption band. The other parameters of the structures are the same as Fig. 1.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

T DMD = ( cos δ eff j sin δ eff ε eff j ε eff sin δ eff cos δ eff )
ε eff = n 2 [ sin 2 δ 2 cosh δ m 1 2 ( n i n + n n i ) sinh δ m 1 2 ( n i n n n i ) cos 2 δ d sinh δ m sin 2 δ 2 cosh δ m 1 2 ( n i n + n n i ) sinh δ m + 1 2 ( n i n n n i ) cos 2 δ d sinh δ m ]
ε eff = n 2 [ 2 δ d cosh δ m n i n sinh δ m 2 δ d cosh δ m + n n i sinh δ m ]
ε eff = ε 0 eff ( 1 ω p eff 2 ω 2 )
ω p eff 2 = c tanh δ m 2 ε 0 d ω p
ε 0 eff = 2 ε 0 ω p d 2 ω p d + c tanh δ m

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