Abstract

We describe a novel approach to implementing wide-field-of-view narrow-band spectral filters, using an array of resonant nanocavities consisting of periodic defects in a two-dimensional three-material photonic-crystal nanostructure. We analyze the transmissivity of this type of filter for a range of wavelengths and in-plane incidence angles as a function of the defect’s refractive index, the number of layers in the photonic-crystal reflectors, and the period of the defects and find that this structure diminishes the angular sensitivity of the resonance condition relative to that of a standard multilayer filter.

© 2002 Optical Society of America

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References

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  1. A. Thelen, Design of Optical Interference Coatings (McGraw-Hill, New York, 1989), pp. 197–202.
  2. M. F. Weber, C. A. Stover, L. R. Gilbert, T. J. Nevitt, and A. J. Ouderkirk, Science 287, 2451 (2000).
    [Crossref] [PubMed]
  3. N. Schweitzer and Y. Arieli, Appl. Opt. 39, 913 (2000).
    [Crossref]
  4. E. Yablonovitch, J. Opt. Soc. Am. B 10, 283 (1993).
    [Crossref]
  5. R. K. Lee, O. Painter, B. Kitzke, A. Scherer, and A. Yariv, J. Opt. Soc. Am. B 17, 629 (2000).
    [Crossref]
  6. R.-C. Tyan, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, A. Scherer, P.-C. Sun, F. Xu, and Y. Fainman, J. Opt. Soc. Am. A 14, 1627 (1997).
    [Crossref]
  7. R.-C. Tyan, P.-C. Sun, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, F. Xu, A. Scherer, and Y. Fainman, “Subwavelength multilayer binary grating design for implementing photonic crystals,” in Quantum Optoelectronics, Vol. 9 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 35–37.
  8. M. G. Moharam and T. K. Gaylord, J. Opt. Soc. Am. 72, 1385 (1982).

2000 (3)

1997 (1)

1993 (1)

1982 (1)

Arieli, Y.

Cheng, C.-C.

R.-C. Tyan, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, A. Scherer, P.-C. Sun, F. Xu, and Y. Fainman, J. Opt. Soc. Am. A 14, 1627 (1997).
[Crossref]

R.-C. Tyan, P.-C. Sun, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, F. Xu, A. Scherer, and Y. Fainman, “Subwavelength multilayer binary grating design for implementing photonic crystals,” in Quantum Optoelectronics, Vol. 9 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 35–37.

Chou, H.-P.

R.-C. Tyan, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, A. Scherer, P.-C. Sun, F. Xu, and Y. Fainman, J. Opt. Soc. Am. A 14, 1627 (1997).
[Crossref]

R.-C. Tyan, P.-C. Sun, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, F. Xu, A. Scherer, and Y. Fainman, “Subwavelength multilayer binary grating design for implementing photonic crystals,” in Quantum Optoelectronics, Vol. 9 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 35–37.

Fainman, Y.

R.-C. Tyan, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, A. Scherer, P.-C. Sun, F. Xu, and Y. Fainman, J. Opt. Soc. Am. A 14, 1627 (1997).
[Crossref]

R.-C. Tyan, P.-C. Sun, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, F. Xu, A. Scherer, and Y. Fainman, “Subwavelength multilayer binary grating design for implementing photonic crystals,” in Quantum Optoelectronics, Vol. 9 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 35–37.

Gaylord, T. K.

Gilbert, L. R.

M. F. Weber, C. A. Stover, L. R. Gilbert, T. J. Nevitt, and A. J. Ouderkirk, Science 287, 2451 (2000).
[Crossref] [PubMed]

Kitzke, B.

Lee, R. K.

Moharam, M. G.

Nevitt, T. J.

M. F. Weber, C. A. Stover, L. R. Gilbert, T. J. Nevitt, and A. J. Ouderkirk, Science 287, 2451 (2000).
[Crossref] [PubMed]

Ouderkirk, A. J.

M. F. Weber, C. A. Stover, L. R. Gilbert, T. J. Nevitt, and A. J. Ouderkirk, Science 287, 2451 (2000).
[Crossref] [PubMed]

Painter, O.

Salvekar, A. A.

R.-C. Tyan, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, A. Scherer, P.-C. Sun, F. Xu, and Y. Fainman, J. Opt. Soc. Am. A 14, 1627 (1997).
[Crossref]

R.-C. Tyan, P.-C. Sun, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, F. Xu, A. Scherer, and Y. Fainman, “Subwavelength multilayer binary grating design for implementing photonic crystals,” in Quantum Optoelectronics, Vol. 9 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 35–37.

Scherer, A.

R. K. Lee, O. Painter, B. Kitzke, A. Scherer, and A. Yariv, J. Opt. Soc. Am. B 17, 629 (2000).
[Crossref]

R.-C. Tyan, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, A. Scherer, P.-C. Sun, F. Xu, and Y. Fainman, J. Opt. Soc. Am. A 14, 1627 (1997).
[Crossref]

R.-C. Tyan, P.-C. Sun, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, F. Xu, A. Scherer, and Y. Fainman, “Subwavelength multilayer binary grating design for implementing photonic crystals,” in Quantum Optoelectronics, Vol. 9 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 35–37.

Schweitzer, N.

Stover, C. A.

M. F. Weber, C. A. Stover, L. R. Gilbert, T. J. Nevitt, and A. J. Ouderkirk, Science 287, 2451 (2000).
[Crossref] [PubMed]

Sun, P.-C.

R.-C. Tyan, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, A. Scherer, P.-C. Sun, F. Xu, and Y. Fainman, J. Opt. Soc. Am. A 14, 1627 (1997).
[Crossref]

R.-C. Tyan, P.-C. Sun, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, F. Xu, A. Scherer, and Y. Fainman, “Subwavelength multilayer binary grating design for implementing photonic crystals,” in Quantum Optoelectronics, Vol. 9 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 35–37.

Thelen, A.

A. Thelen, Design of Optical Interference Coatings (McGraw-Hill, New York, 1989), pp. 197–202.

Tyan, R.-C.

R.-C. Tyan, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, A. Scherer, P.-C. Sun, F. Xu, and Y. Fainman, J. Opt. Soc. Am. A 14, 1627 (1997).
[Crossref]

R.-C. Tyan, P.-C. Sun, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, F. Xu, A. Scherer, and Y. Fainman, “Subwavelength multilayer binary grating design for implementing photonic crystals,” in Quantum Optoelectronics, Vol. 9 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 35–37.

Weber, M. F.

M. F. Weber, C. A. Stover, L. R. Gilbert, T. J. Nevitt, and A. J. Ouderkirk, Science 287, 2451 (2000).
[Crossref] [PubMed]

Xu, F.

R.-C. Tyan, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, A. Scherer, P.-C. Sun, F. Xu, and Y. Fainman, J. Opt. Soc. Am. A 14, 1627 (1997).
[Crossref]

R.-C. Tyan, P.-C. Sun, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, F. Xu, A. Scherer, and Y. Fainman, “Subwavelength multilayer binary grating design for implementing photonic crystals,” in Quantum Optoelectronics, Vol. 9 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 35–37.

Yablonovitch, E.

Yariv, A.

Appl. Opt. (1)

J. Opt. Soc. Am. (1)

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

J. Opt. Soc. Am. B (2)

Science (1)

M. F. Weber, C. A. Stover, L. R. Gilbert, T. J. Nevitt, and A. J. Ouderkirk, Science 287, 2451 (2000).
[Crossref] [PubMed]

Other (2)

A. Thelen, Design of Optical Interference Coatings (McGraw-Hill, New York, 1989), pp. 197–202.

R.-C. Tyan, P.-C. Sun, A. A. Salvekar, H.-P. Chou, C.-C. Cheng, F. Xu, A. Scherer, and Y. Fainman, “Subwavelength multilayer binary grating design for implementing photonic crystals,” in Quantum Optoelectronics, Vol. 9 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 35–37.

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Figures (5)

Fig. 1
Fig. 1

Schematic diagram of the periodic array of nanocavities, where Λ=0.3394λ, F=27.6%, D=0.3044λ, H=32.9%, m=7, and Pd=3Λ.

Fig. 2
Fig. 2

Transmissivity for incidence angles ranging from θ=0° (normal incidence) to θ=60° as a function of wavelength for a filter structure with Pd=3Λ, m=7, and nd=3.0.

Fig. 3
Fig. 3

Transmissivity as a function of incidence angle and wavelength for a filter structure with Pd=2Λ, m=3, and defects of refractive index (a) nd=3.5, (b) nd=3.0, and (c) nd=2.5.

Fig. 4
Fig. 4

Transmissivity for incidence angles ranging from θ=0° (normal incidence) to θ=60° as a function of wavelength for a 2D photonic crystal microcavity with Pd=3Λ, nd=3.0, and (a) m=3 (7 layers total), (b) m=5 (11 layers total), and (c) m=7 (15 layers total).

Fig. 5
Fig. 5

Transmissivity for incidence angles ranging from θ=0° (normal incidence) to θ=54° as a function of wavelength for a 2D photonic crystal microcavity filter with m=7, nd=3.0, and defect periods (a) Pd=Λ, (b) Pd=2Λ, (c) Pd=3Λ, and (d) Pd=4Λ.

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