Abstract

The use of negative-index materials is highly efficient for tailoring the spectral dispersion properties of a quarter-wavelength Bragg mirror and for obtaining resonant behavior of a multilayer Fabry–Perot cavity over a very large spectral range. An optimization method is proposed and validated on some first promising devices.

© 2014 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
    [CrossRef]
  2. J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
    [CrossRef]
  3. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
    [CrossRef]
  4. M. Lequime, B. Gralak, S. Guenneau, M. Zerrad, and C. Amra, in Optical Interference Coatings Conference (Optical Society of America, 2013), paper TB9.
  5. H. A. Macleod, Thin-film Optical Filters, 4th ed. (CRC Press, 2010).
  6. J. B. Pendry and S. A. Ramakrishna, J. Phys. Condens. Matter 15, 6345 (2003).
    [CrossRef]
  7. Z. H. Jiang, S. Yun, L. Lin, J. A. Bossard, D. H. Werner, and T. S. Mayer, Sci. Rep. 3, 01571 (2013).
  8. C. Amra, J. Opt. Soc. Am. A 10, 365 (1993).
    [CrossRef]
  9. M. Lequime and C. Amra, in Optical Interference Coatings Conference (Optical Society of America, 2010), paper TD3.

2013 (1)

Z. H. Jiang, S. Yun, L. Lin, J. A. Bossard, D. H. Werner, and T. S. Mayer, Sci. Rep. 3, 01571 (2013).

2006 (1)

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

2003 (1)

J. B. Pendry and S. A. Ramakrishna, J. Phys. Condens. Matter 15, 6345 (2003).
[CrossRef]

2000 (1)

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef]

1993 (1)

1968 (1)

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Amra, C.

C. Amra, J. Opt. Soc. Am. A 10, 365 (1993).
[CrossRef]

M. Lequime, B. Gralak, S. Guenneau, M. Zerrad, and C. Amra, in Optical Interference Coatings Conference (Optical Society of America, 2013), paper TB9.

M. Lequime and C. Amra, in Optical Interference Coatings Conference (Optical Society of America, 2010), paper TD3.

Bossard, J. A.

Z. H. Jiang, S. Yun, L. Lin, J. A. Bossard, D. H. Werner, and T. S. Mayer, Sci. Rep. 3, 01571 (2013).

Cummer, S. A.

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

Gralak, B.

M. Lequime, B. Gralak, S. Guenneau, M. Zerrad, and C. Amra, in Optical Interference Coatings Conference (Optical Society of America, 2013), paper TB9.

Guenneau, S.

M. Lequime, B. Gralak, S. Guenneau, M. Zerrad, and C. Amra, in Optical Interference Coatings Conference (Optical Society of America, 2013), paper TB9.

Jiang, Z. H.

Z. H. Jiang, S. Yun, L. Lin, J. A. Bossard, D. H. Werner, and T. S. Mayer, Sci. Rep. 3, 01571 (2013).

Justice, B. J.

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

Lequime, M.

M. Lequime and C. Amra, in Optical Interference Coatings Conference (Optical Society of America, 2010), paper TD3.

M. Lequime, B. Gralak, S. Guenneau, M. Zerrad, and C. Amra, in Optical Interference Coatings Conference (Optical Society of America, 2013), paper TB9.

Lin, L.

Z. H. Jiang, S. Yun, L. Lin, J. A. Bossard, D. H. Werner, and T. S. Mayer, Sci. Rep. 3, 01571 (2013).

Macleod, H. A.

H. A. Macleod, Thin-film Optical Filters, 4th ed. (CRC Press, 2010).

Mayer, T. S.

Z. H. Jiang, S. Yun, L. Lin, J. A. Bossard, D. H. Werner, and T. S. Mayer, Sci. Rep. 3, 01571 (2013).

Mock, J. J.

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

Pendry, J. B.

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

J. B. Pendry and S. A. Ramakrishna, J. Phys. Condens. Matter 15, 6345 (2003).
[CrossRef]

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef]

Ramakrishna, S. A.

J. B. Pendry and S. A. Ramakrishna, J. Phys. Condens. Matter 15, 6345 (2003).
[CrossRef]

Schurig, D.

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

Smith, D. R.

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

Starr, A. F.

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

Veselago, V. G.

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Werner, D. H.

Z. H. Jiang, S. Yun, L. Lin, J. A. Bossard, D. H. Werner, and T. S. Mayer, Sci. Rep. 3, 01571 (2013).

Yun, S.

Z. H. Jiang, S. Yun, L. Lin, J. A. Bossard, D. H. Werner, and T. S. Mayer, Sci. Rep. 3, 01571 (2013).

Zerrad, M.

M. Lequime, B. Gralak, S. Guenneau, M. Zerrad, and C. Amra, in Optical Interference Coatings Conference (Optical Society of America, 2013), paper TB9.

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

J. Phys. Condens. Matter (1)

J. B. Pendry and S. A. Ramakrishna, J. Phys. Condens. Matter 15, 6345 (2003).
[CrossRef]

Phys. Rev. Lett. (1)

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef]

Sci. Rep. (1)

Z. H. Jiang, S. Yun, L. Lin, J. A. Bossard, D. H. Werner, and T. S. Mayer, Sci. Rep. 3, 01571 (2013).

Science (1)

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

Sov. Phys. Usp. (1)

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Other (3)

M. Lequime and C. Amra, in Optical Interference Coatings Conference (Optical Society of America, 2010), paper TD3.

M. Lequime, B. Gralak, S. Guenneau, M. Zerrad, and C. Amra, in Optical Interference Coatings Conference (Optical Society of America, 2013), paper TB9.

H. A. Macleod, Thin-film Optical Filters, 4th ed. (CRC Press, 2010).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1.

Spectral transmittance of three optimized white multilayer FP configurations. Black line: H¯L¯H¯ 2L H¯L¯H¯, nH=2.61; red line: H¯L¯H¯ L H¯ 2L H¯ L H¯L¯H¯, nH=2.19; blue line: H¯L¯H¯L¯H¯ L H¯ 2L H¯ L H¯L¯H¯L¯H¯, nH=2.37.

Fig. 2.
Fig. 2.

Spectral dependence of the normalized square modulus of the electric field within the thickness of an HLH 2L HLH standard FP (nH=2.61, nL=1.48).

Fig. 3.
Fig. 3.

Spectral dependence of the normalized square modulus of the electric field within the thickness of an H¯L¯H¯ 2L H¯L¯H¯ FP configuration (the refractive indices of the NIM layers are opposite to those of the standard configuration).

Tables (1)

Tables Icon

Table 1. Main Features of Three Optimized Symmetric White FP Configurations

Equations (25)

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

Incident medium/HLHp layers/Substrate.
r=n˜0Y0n˜0+Y0=Reiρ,
n˜={α/ωμ0μrforTEpolarizationωϵ0ϵr/αforTMpolarization,
α2=k2σ2.
σ=kjsinθj=k0sinθ0j=1,,p,
αj=ωϵ0μ0ϵr,jμr,jcosθj=kjcosθj.
n˜j={1η0μr,jnjcosθjforTEpolarization1η0μr,j1njcosθjforTMpolarization,
Yj1=Yjcosδjin˜jsinδjcosδji(Yj/n˜j)sinδj,
Yp=n˜p+1=n˜s.
δj=2πλγjtjϵr,jμr,jcosθj,
tjϵr,jμr,j=λ04δj=π2γjλ0λ,
δjγjπ2γjπ2xλ0withx=λλ0.
Yj1n˜j2Yj[1+iπ2xλ0γj(Yjn˜jn˜jYj)].
Y0=Y0(λ0){1+ix(1)p1πA2λ0},
Y0(λ0)={n˜s[n˜L2n˜H2]qforp=2qn˜H2n˜s[n˜H2n˜L2]qforp=2q+1
A=n˜sn˜Hl=0p1γpl[n˜Ln˜H]ln˜Hn˜sl=0p1γpl[n˜Hn˜L]l.
R(λ0)=[n˜0Y0(λ0)n˜0+Y0(λ0)]2,
ρλ|λ0=(1)pπλ0n˜0Y0(λ0)n˜02Y02(λ0)A.
Φ(λ)=2πΔλ+ρUS(λ)+ρLS+(λ),
Δλ2|[Φλ]λ0|·1RLS+RUS(RLS+RUS)14.
[Φλ]λ0=4πnspespλ02+ρUSλ|λ0+ρLS+λ|λ0,
Air/H(LH)q2L(HL)qH/Glass,
{Ej1=[cosδji(Yj/n˜j)sinδj]EjE0=(1+r)E0+,
Ej(z)=[cosδj(z)i(Yj/n˜j)sinδj(z)]Ejwithδj(z)=αj(ejz).
M=1λ2λ1λ1λ2|Esp(esp/2,λ)|2|E0+|2dλ,

Metrics