Abstract

One-dimensional photonic crystals composed of silicon and air layers with and without twinning defect (i.e., a periodicity break where one half of the photonic structure is a mirror image of the other one) are studied by means of terahertz time-domain transmission and reflection spectroscopy. The structure with defect is decomposed into building blocks: two twins and a defect. A phase-sensitive characterization in transmission and reflection allows us to fully determine the transfer matrices of any block and consequently to predict the properties of composed structures regardless of the microstructure of the constituting blocks. It is shown and experimentally demonstrated that the defect level position is controlled by the reflectance phase of the twins. Possible approach of the reflectance phase determination by use of Kramers-Kronig analysis is also discussed.

© 2004 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
  24. A. Pashkin, M. Kempa, H. Němec, F. Kadlec, P. Kužel, “Phase-sensitive time-domain terahertz reflection spectroscopy,” Rev. Sci. Instrum. 74, 4711–4717 (2003).
    [CrossRef]
  25. A. Figotin, V. Gorentsveig, “Localized electromagnetic waves in a layered periodic dielectric medium with a defect,” Phys. Rev. B 58, 180–188 (1998).
    [CrossRef]
  26. S. F. Mingaleev, K. Busch, “Scattering matrix approach to large-scale photonic crystal circuits,” Opt. Lett. 28, 619–621 (2003).
    [CrossRef] [PubMed]
  27. M. Born, E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, 1999), Chap. 1.6, pp. 54–74.
  28. E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, “Donor and acceptor modes in photonic band structures,” Phys. Rev. Lett. 67, 3380–3383 (1991).
    [CrossRef] [PubMed]
  29. A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).
    [CrossRef]
  30. T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, “Photonic dispersion relation in a one-dimensional quasicrystal,” Phys. Rev. B 50, 4220–4223 (1994).
    [CrossRef]
  31. P. Kužel, J. Petzelt, “Time-resolved terahertz transmission spectroscopy of dielectrics,” Ferroelectrics 239, 949–956 (2000).
  32. L. Duvillaret, F. Garet, J.-L. Coutaz, “Influence of noise on the characterization of materials by terahertz time-domain spectroscopy,” J. Opt. Soc. Am. B 17, 452–461 (2000).
    [CrossRef]
  33. M. H. Lee, O. I. Sindoni, “Kramers-Kronig relations with logarithmic kernel and application to the phase spectrum in the Drude model,” Phys. Rev. E 56, 3891–3896 (1997).
    [CrossRef]

2003 (3)

H.-Y. Lee, T. Yao, “Design and evaluation of omnidirectional one-dimensional photonic crystals,” J. Appl. Phys. 93, 819–830 (2003).
[CrossRef]

A. Pashkin, M. Kempa, H. Němec, F. Kadlec, P. Kužel, “Phase-sensitive time-domain terahertz reflection spectroscopy,” Rev. Sci. Instrum. 74, 4711–4717 (2003).
[CrossRef]

S. F. Mingaleev, K. Busch, “Scattering matrix approach to large-scale photonic crystal circuits,” Opt. Lett. 28, 619–621 (2003).
[CrossRef] [PubMed]

2001 (2)

T. Aoki, M. W. Takeda, J. W. Haus, Z. Yuan, M. Tani, K. Sakai, N. Kawai, K. Inoue, “Terahertz time-domain study of a pseudo-simple-cubic photonic lattice,” Phys. Rev. B 64, 045106 (2001).
[CrossRef]

H. Kitahara, N. Tsumura, H. Kondo, M. W. Takeda, J. W. Haus, Z. Yuan, “Terahertz wave dispersion in two-dimensional photonic crystals,” Phys. Rev. B 64, 045202 (2001).
[CrossRef]

2000 (3)

P. L. Phillips, J. C. Knight, J. M. Pottage, G. Kakarantzas, P. St. J. Russell, “Direct measurement of optical phase in the near field,” Appl. Phys. Lett. 76, 541–543 (2000).
[CrossRef]

P. Kužel, J. Petzelt, “Time-resolved terahertz transmission spectroscopy of dielectrics,” Ferroelectrics 239, 949–956 (2000).

L. Duvillaret, F. Garet, J.-L. Coutaz, “Influence of noise on the characterization of materials by terahertz time-domain spectroscopy,” J. Opt. Soc. Am. B 17, 452–461 (2000).
[CrossRef]

1999 (4)

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).
[CrossRef]

N. Tsurumachi, S. Yamashita, N. Muroi, T. Fuji, T. Hattori, H. Nakatsuka, “Enhancement of nonlinear optical effect in one-dimensional photonic crystal structures,” Jpn. J. Appl. Phys. Part 1 38, 6302–6308 (1999).
[CrossRef]

K. M. Chen, A. W. Sparks, H. C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

B. Temelkuran, E. Özbay, “Experimental demonstration of photonic crystal-based waveguides,” Appl. Phys. Lett. 74, 486–488 (1999).
[CrossRef]

1998 (6)

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Light controllable defect modes in three-dimensional photonic crystal,” Electron. Lett. 34, 1965–1967 (1998).
[CrossRef]

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

J. E. G. J. Wijnhoven, W. L. Vos, “Preparation of photonic crystals made of air spheres in titania,” Science 281, 802–804 (1998).
[CrossRef]

B. Temelkuran, E. Özbay, M. Sigalas, G. Tuttle, C. M. Soukoulis, K. M. Ho, “Reflection properties of metallic photonic crystals,” Appl. Phys. A 66, 363–365 (1998).
[CrossRef]

T.-I. Jeon, D. Grischkowsky, “Characterization of optically dense, doped semiconductors by reflection THz time domain spectroscopy,” Appl. Phys. Lett. 72, 3032–3034 (1998).
[CrossRef]

A. Figotin, V. Gorentsveig, “Localized electromagnetic waves in a layered periodic dielectric medium with a defect,” Phys. Rev. B 58, 180–188 (1998).
[CrossRef]

1997 (2)

M. H. Lee, O. I. Sindoni, “Kramers-Kronig relations with logarithmic kernel and application to the phase spectrum in the Drude model,” Phys. Rev. E 56, 3891–3896 (1997).
[CrossRef]

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Terahertz characterisation of mechanically machined 3D photonic crystal,” Electron. Lett. 33, 1981–1983 (1997).
[CrossRef]

1996 (1)

E. Özbay, B. Temelkuran, “Reflection properties and defect formation in photonic crystals,” Appl. Phys. Lett. 69, 743–745 (1996).
[CrossRef]

1994 (2)

S. Y. Lin, G. Arjavalingam, “Photonic bound states in two-dimensional photonic crystals probed by coherent-microwave transient spectroscopy,” J. Opt. Soc. Am. B 11, 2124–2127 (1994).
[CrossRef]

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, “Photonic dispersion relation in a one-dimensional quasicrystal,” Phys. Rev. B 50, 4220–4223 (1994).
[CrossRef]

1993 (1)

1992 (1)

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
[CrossRef] [PubMed]

1991 (2)

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, “Donor and acceptor modes in photonic band structures,” Phys. Rev. Lett. 67, 3380–3383 (1991).
[CrossRef] [PubMed]

S. L. McCall, P. M. Platzman, R. Dalichaouch, D. Smith, S. Schultz, “Microwave propagation in two-dimensional dielectric lattices,” Phys. Rev. Lett. 67, 2017–2020 (1991).
[CrossRef] [PubMed]

1990 (1)

S. John, J. Wang, “Quantum electrodynamics near a photonic band gap: photon bound states and dressed atoms,” Phys. Rev. Lett. 58, 2418–2421 (1990).
[CrossRef]

1987 (1)

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

Aoki, T.

T. Aoki, M. W. Takeda, J. W. Haus, Z. Yuan, M. Tani, K. Sakai, N. Kawai, K. Inoue, “Terahertz time-domain study of a pseudo-simple-cubic photonic lattice,” Phys. Rev. B 64, 045106 (2001).
[CrossRef]

Arjavalingam, G.

Asatryan, A. A.

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).
[CrossRef]

Born, M.

M. Born, E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, 1999), Chap. 1.6, pp. 54–74.

Botten, L. C.

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).
[CrossRef]

Brommer, K. D.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays,” J. Opt. Soc. Am. B 10, 322–327 (1993).
[CrossRef]

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
[CrossRef] [PubMed]

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, “Donor and acceptor modes in photonic band structures,” Phys. Rev. Lett. 67, 3380–3383 (1991).
[CrossRef] [PubMed]

Busch, K.

Chelnokov, A.

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Light controllable defect modes in three-dimensional photonic crystal,” Electron. Lett. 34, 1965–1967 (1998).
[CrossRef]

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Terahertz characterisation of mechanically machined 3D photonic crystal,” Electron. Lett. 33, 1981–1983 (1997).
[CrossRef]

Chen, C.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

Chen, K. M.

K. M. Chen, A. W. Sparks, H. C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

Coutaz, J. L.

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Light controllable defect modes in three-dimensional photonic crystal,” Electron. Lett. 34, 1965–1967 (1998).
[CrossRef]

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Terahertz characterisation of mechanically machined 3D photonic crystal,” Electron. Lett. 33, 1981–1983 (1997).
[CrossRef]

Coutaz, J.-L.

Dalichaouch, R.

S. L. McCall, P. M. Platzman, R. Dalichaouch, D. Smith, S. Schultz, “Microwave propagation in two-dimensional dielectric lattices,” Phys. Rev. Lett. 67, 2017–2020 (1991).
[CrossRef] [PubMed]

de Sterke, C. M.

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).
[CrossRef]

Duvillaret, L.

L. Duvillaret, F. Garet, J.-L. Coutaz, “Influence of noise on the characterization of materials by terahertz time-domain spectroscopy,” J. Opt. Soc. Am. B 17, 452–461 (2000).
[CrossRef]

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Light controllable defect modes in three-dimensional photonic crystal,” Electron. Lett. 34, 1965–1967 (1998).
[CrossRef]

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Terahertz characterisation of mechanically machined 3D photonic crystal,” Electron. Lett. 33, 1981–1983 (1997).
[CrossRef]

H. Němec, L. Duvillaret, F. Quemeneur, P. Kužel, “Defect modes due to twinning in one-dimensional photonic crystals,” J. Opt. Soc. Am. B (to be published).

Fan, S.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

Figotin, A.

A. Figotin, V. Gorentsveig, “Localized electromagnetic waves in a layered periodic dielectric medium with a defect,” Phys. Rev. B 58, 180–188 (1998).
[CrossRef]

Fink, Y.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

Fuji, T.

N. Tsurumachi, S. Yamashita, N. Muroi, T. Fuji, T. Hattori, H. Nakatsuka, “Enhancement of nonlinear optical effect in one-dimensional photonic crystal structures,” Jpn. J. Appl. Phys. Part 1 38, 6302–6308 (1999).
[CrossRef]

Garet, F.

Gmitter, T. J.

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, “Donor and acceptor modes in photonic band structures,” Phys. Rev. Lett. 67, 3380–3383 (1991).
[CrossRef] [PubMed]

Gorentsveig, V.

A. Figotin, V. Gorentsveig, “Localized electromagnetic waves in a layered periodic dielectric medium with a defect,” Phys. Rev. B 58, 180–188 (1998).
[CrossRef]

Grischkowsky, D.

T.-I. Jeon, D. Grischkowsky, “Characterization of optically dense, doped semiconductors by reflection THz time domain spectroscopy,” Appl. Phys. Lett. 72, 3032–3034 (1998).
[CrossRef]

Hattori, T.

N. Tsurumachi, S. Yamashita, N. Muroi, T. Fuji, T. Hattori, H. Nakatsuka, “Enhancement of nonlinear optical effect in one-dimensional photonic crystal structures,” Jpn. J. Appl. Phys. Part 1 38, 6302–6308 (1999).
[CrossRef]

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, “Photonic dispersion relation in a one-dimensional quasicrystal,” Phys. Rev. B 50, 4220–4223 (1994).
[CrossRef]

Haus, J. W.

T. Aoki, M. W. Takeda, J. W. Haus, Z. Yuan, M. Tani, K. Sakai, N. Kawai, K. Inoue, “Terahertz time-domain study of a pseudo-simple-cubic photonic lattice,” Phys. Rev. B 64, 045106 (2001).
[CrossRef]

H. Kitahara, N. Tsumura, H. Kondo, M. W. Takeda, J. W. Haus, Z. Yuan, “Terahertz wave dispersion in two-dimensional photonic crystals,” Phys. Rev. B 64, 045202 (2001).
[CrossRef]

Ho, K. M.

B. Temelkuran, E. Özbay, M. Sigalas, G. Tuttle, C. M. Soukoulis, K. M. Ho, “Reflection properties of metallic photonic crystals,” Appl. Phys. A 66, 363–365 (1998).
[CrossRef]

Inoue, K.

T. Aoki, M. W. Takeda, J. W. Haus, Z. Yuan, M. Tani, K. Sakai, N. Kawai, K. Inoue, “Terahertz time-domain study of a pseudo-simple-cubic photonic lattice,” Phys. Rev. B 64, 045106 (2001).
[CrossRef]

Jeon, T.-I.

T.-I. Jeon, D. Grischkowsky, “Characterization of optically dense, doped semiconductors by reflection THz time domain spectroscopy,” Appl. Phys. Lett. 72, 3032–3034 (1998).
[CrossRef]

Joannopoulos, J. D.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays,” J. Opt. Soc. Am. B 10, 322–327 (1993).
[CrossRef]

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
[CrossRef] [PubMed]

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, “Donor and acceptor modes in photonic band structures,” Phys. Rev. Lett. 67, 3380–3383 (1991).
[CrossRef] [PubMed]

John, S.

S. John, J. Wang, “Quantum electrodynamics near a photonic band gap: photon bound states and dressed atoms,” Phys. Rev. Lett. 58, 2418–2421 (1990).
[CrossRef]

Kadlec, F.

A. Pashkin, M. Kempa, H. Němec, F. Kadlec, P. Kužel, “Phase-sensitive time-domain terahertz reflection spectroscopy,” Rev. Sci. Instrum. 74, 4711–4717 (2003).
[CrossRef]

Kakarantzas, G.

P. L. Phillips, J. C. Knight, J. M. Pottage, G. Kakarantzas, P. St. J. Russell, “Direct measurement of optical phase in the near field,” Appl. Phys. Lett. 76, 541–543 (2000).
[CrossRef]

Kawai, N.

T. Aoki, M. W. Takeda, J. W. Haus, Z. Yuan, M. Tani, K. Sakai, N. Kawai, K. Inoue, “Terahertz time-domain study of a pseudo-simple-cubic photonic lattice,” Phys. Rev. B 64, 045106 (2001).
[CrossRef]

Kawato, S.

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, “Photonic dispersion relation in a one-dimensional quasicrystal,” Phys. Rev. B 50, 4220–4223 (1994).
[CrossRef]

Kempa, M.

A. Pashkin, M. Kempa, H. Němec, F. Kadlec, P. Kužel, “Phase-sensitive time-domain terahertz reflection spectroscopy,” Rev. Sci. Instrum. 74, 4711–4717 (2003).
[CrossRef]

Kimerling, L. C.

K. M. Chen, A. W. Sparks, H. C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

Kitahara, H.

H. Kitahara, N. Tsumura, H. Kondo, M. W. Takeda, J. W. Haus, Z. Yuan, “Terahertz wave dispersion in two-dimensional photonic crystals,” Phys. Rev. B 64, 045202 (2001).
[CrossRef]

Knight, J. C.

P. L. Phillips, J. C. Knight, J. M. Pottage, G. Kakarantzas, P. St. J. Russell, “Direct measurement of optical phase in the near field,” Appl. Phys. Lett. 76, 541–543 (2000).
[CrossRef]

Kondo, H.

H. Kitahara, N. Tsumura, H. Kondo, M. W. Takeda, J. W. Haus, Z. Yuan, “Terahertz wave dispersion in two-dimensional photonic crystals,” Phys. Rev. B 64, 045202 (2001).
[CrossRef]

Kužel, P.

A. Pashkin, M. Kempa, H. Němec, F. Kadlec, P. Kužel, “Phase-sensitive time-domain terahertz reflection spectroscopy,” Rev. Sci. Instrum. 74, 4711–4717 (2003).
[CrossRef]

P. Kužel, J. Petzelt, “Time-resolved terahertz transmission spectroscopy of dielectrics,” Ferroelectrics 239, 949–956 (2000).

H. Němec, L. Duvillaret, F. Quemeneur, P. Kužel, “Defect modes due to twinning in one-dimensional photonic crystals,” J. Opt. Soc. Am. B (to be published).

Lee, H.-Y.

H.-Y. Lee, T. Yao, “Design and evaluation of omnidirectional one-dimensional photonic crystals,” J. Appl. Phys. 93, 819–830 (2003).
[CrossRef]

Lee, M. H.

M. H. Lee, O. I. Sindoni, “Kramers-Kronig relations with logarithmic kernel and application to the phase spectrum in the Drude model,” Phys. Rev. E 56, 3891–3896 (1997).
[CrossRef]

Lim, D. R.

K. M. Chen, A. W. Sparks, H. C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

Lin, S. Y.

Lourtioz, J. M.

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Light controllable defect modes in three-dimensional photonic crystal,” Electron. Lett. 34, 1965–1967 (1998).
[CrossRef]

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Terahertz characterisation of mechanically machined 3D photonic crystal,” Electron. Lett. 33, 1981–1983 (1997).
[CrossRef]

Luan, H. C.

K. M. Chen, A. W. Sparks, H. C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

McCall, S. L.

S. L. McCall, P. M. Platzman, R. Dalichaouch, D. Smith, S. Schultz, “Microwave propagation in two-dimensional dielectric lattices,” Phys. Rev. Lett. 67, 2017–2020 (1991).
[CrossRef] [PubMed]

McPhedran, R. C.

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).
[CrossRef]

Meade, R. D.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays,” J. Opt. Soc. Am. B 10, 322–327 (1993).
[CrossRef]

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
[CrossRef] [PubMed]

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, “Donor and acceptor modes in photonic band structures,” Phys. Rev. Lett. 67, 3380–3383 (1991).
[CrossRef] [PubMed]

Michel, J.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

Mingaleev, S. F.

Muroi, N.

N. Tsurumachi, S. Yamashita, N. Muroi, T. Fuji, T. Hattori, H. Nakatsuka, “Enhancement of nonlinear optical effect in one-dimensional photonic crystal structures,” Jpn. J. Appl. Phys. Part 1 38, 6302–6308 (1999).
[CrossRef]

Nakatsuka, H.

N. Tsurumachi, S. Yamashita, N. Muroi, T. Fuji, T. Hattori, H. Nakatsuka, “Enhancement of nonlinear optical effect in one-dimensional photonic crystal structures,” Jpn. J. Appl. Phys. Part 1 38, 6302–6308 (1999).
[CrossRef]

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, “Photonic dispersion relation in a one-dimensional quasicrystal,” Phys. Rev. B 50, 4220–4223 (1994).
[CrossRef]

Nemec, H.

A. Pashkin, M. Kempa, H. Němec, F. Kadlec, P. Kužel, “Phase-sensitive time-domain terahertz reflection spectroscopy,” Rev. Sci. Instrum. 74, 4711–4717 (2003).
[CrossRef]

H. Němec, L. Duvillaret, F. Quemeneur, P. Kužel, “Defect modes due to twinning in one-dimensional photonic crystals,” J. Opt. Soc. Am. B (to be published).

Nicorovici, N. A.

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).
[CrossRef]

Özbay, E.

B. Temelkuran, E. Özbay, “Experimental demonstration of photonic crystal-based waveguides,” Appl. Phys. Lett. 74, 486–488 (1999).
[CrossRef]

B. Temelkuran, E. Özbay, M. Sigalas, G. Tuttle, C. M. Soukoulis, K. M. Ho, “Reflection properties of metallic photonic crystals,” Appl. Phys. A 66, 363–365 (1998).
[CrossRef]

E. Özbay, B. Temelkuran, “Reflection properties and defect formation in photonic crystals,” Appl. Phys. Lett. 69, 743–745 (1996).
[CrossRef]

Pashkin, A.

A. Pashkin, M. Kempa, H. Němec, F. Kadlec, P. Kužel, “Phase-sensitive time-domain terahertz reflection spectroscopy,” Rev. Sci. Instrum. 74, 4711–4717 (2003).
[CrossRef]

Petzelt, J.

P. Kužel, J. Petzelt, “Time-resolved terahertz transmission spectroscopy of dielectrics,” Ferroelectrics 239, 949–956 (2000).

Phillips, P. L.

P. L. Phillips, J. C. Knight, J. M. Pottage, G. Kakarantzas, P. St. J. Russell, “Direct measurement of optical phase in the near field,” Appl. Phys. Lett. 76, 541–543 (2000).
[CrossRef]

Platzman, P. M.

S. L. McCall, P. M. Platzman, R. Dalichaouch, D. Smith, S. Schultz, “Microwave propagation in two-dimensional dielectric lattices,” Phys. Rev. Lett. 67, 2017–2020 (1991).
[CrossRef] [PubMed]

Pottage, J. M.

P. L. Phillips, J. C. Knight, J. M. Pottage, G. Kakarantzas, P. St. J. Russell, “Direct measurement of optical phase in the near field,” Appl. Phys. Lett. 76, 541–543 (2000).
[CrossRef]

Quemeneur, F.

H. Němec, L. Duvillaret, F. Quemeneur, P. Kužel, “Defect modes due to twinning in one-dimensional photonic crystals,” J. Opt. Soc. Am. B (to be published).

Rappe, A. M.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays,” J. Opt. Soc. Am. B 10, 322–327 (1993).
[CrossRef]

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
[CrossRef] [PubMed]

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, “Donor and acceptor modes in photonic band structures,” Phys. Rev. Lett. 67, 3380–3383 (1991).
[CrossRef] [PubMed]

Robertson, W. M.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays,” J. Opt. Soc. Am. B 10, 322–327 (1993).
[CrossRef]

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
[CrossRef] [PubMed]

Robinson, P. A.

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).
[CrossRef]

Rowson, S.

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Light controllable defect modes in three-dimensional photonic crystal,” Electron. Lett. 34, 1965–1967 (1998).
[CrossRef]

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Terahertz characterisation of mechanically machined 3D photonic crystal,” Electron. Lett. 33, 1981–1983 (1997).
[CrossRef]

Sakai, K.

T. Aoki, M. W. Takeda, J. W. Haus, Z. Yuan, M. Tani, K. Sakai, N. Kawai, K. Inoue, “Terahertz time-domain study of a pseudo-simple-cubic photonic lattice,” Phys. Rev. B 64, 045106 (2001).
[CrossRef]

Sakoda, K.

K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, 2001).

Schultz, S.

S. L. McCall, P. M. Platzman, R. Dalichaouch, D. Smith, S. Schultz, “Microwave propagation in two-dimensional dielectric lattices,” Phys. Rev. Lett. 67, 2017–2020 (1991).
[CrossRef] [PubMed]

Sigalas, M.

B. Temelkuran, E. Özbay, M. Sigalas, G. Tuttle, C. M. Soukoulis, K. M. Ho, “Reflection properties of metallic photonic crystals,” Appl. Phys. A 66, 363–365 (1998).
[CrossRef]

Sindoni, O. I.

M. H. Lee, O. I. Sindoni, “Kramers-Kronig relations with logarithmic kernel and application to the phase spectrum in the Drude model,” Phys. Rev. E 56, 3891–3896 (1997).
[CrossRef]

Smith, D.

S. L. McCall, P. M. Platzman, R. Dalichaouch, D. Smith, S. Schultz, “Microwave propagation in two-dimensional dielectric lattices,” Phys. Rev. Lett. 67, 2017–2020 (1991).
[CrossRef] [PubMed]

Soukoulis, C. M.

B. Temelkuran, E. Özbay, M. Sigalas, G. Tuttle, C. M. Soukoulis, K. M. Ho, “Reflection properties of metallic photonic crystals,” Appl. Phys. A 66, 363–365 (1998).
[CrossRef]

Sparks, A. W.

K. M. Chen, A. W. Sparks, H. C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

St. J. Russell, P.

P. L. Phillips, J. C. Knight, J. M. Pottage, G. Kakarantzas, P. St. J. Russell, “Direct measurement of optical phase in the near field,” Appl. Phys. Lett. 76, 541–543 (2000).
[CrossRef]

Takeda, M. W.

T. Aoki, M. W. Takeda, J. W. Haus, Z. Yuan, M. Tani, K. Sakai, N. Kawai, K. Inoue, “Terahertz time-domain study of a pseudo-simple-cubic photonic lattice,” Phys. Rev. B 64, 045106 (2001).
[CrossRef]

H. Kitahara, N. Tsumura, H. Kondo, M. W. Takeda, J. W. Haus, Z. Yuan, “Terahertz wave dispersion in two-dimensional photonic crystals,” Phys. Rev. B 64, 045202 (2001).
[CrossRef]

Tani, M.

T. Aoki, M. W. Takeda, J. W. Haus, Z. Yuan, M. Tani, K. Sakai, N. Kawai, K. Inoue, “Terahertz time-domain study of a pseudo-simple-cubic photonic lattice,” Phys. Rev. B 64, 045106 (2001).
[CrossRef]

Temelkuran, B.

B. Temelkuran, E. Özbay, “Experimental demonstration of photonic crystal-based waveguides,” Appl. Phys. Lett. 74, 486–488 (1999).
[CrossRef]

B. Temelkuran, E. Özbay, M. Sigalas, G. Tuttle, C. M. Soukoulis, K. M. Ho, “Reflection properties of metallic photonic crystals,” Appl. Phys. A 66, 363–365 (1998).
[CrossRef]

E. Özbay, B. Temelkuran, “Reflection properties and defect formation in photonic crystals,” Appl. Phys. Lett. 69, 743–745 (1996).
[CrossRef]

Thomas, E. L.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

Tsumura, N.

H. Kitahara, N. Tsumura, H. Kondo, M. W. Takeda, J. W. Haus, Z. Yuan, “Terahertz wave dispersion in two-dimensional photonic crystals,” Phys. Rev. B 64, 045202 (2001).
[CrossRef]

Tsurumachi, N.

N. Tsurumachi, S. Yamashita, N. Muroi, T. Fuji, T. Hattori, H. Nakatsuka, “Enhancement of nonlinear optical effect in one-dimensional photonic crystal structures,” Jpn. J. Appl. Phys. Part 1 38, 6302–6308 (1999).
[CrossRef]

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, “Photonic dispersion relation in a one-dimensional quasicrystal,” Phys. Rev. B 50, 4220–4223 (1994).
[CrossRef]

Tuttle, G.

B. Temelkuran, E. Özbay, M. Sigalas, G. Tuttle, C. M. Soukoulis, K. M. Ho, “Reflection properties of metallic photonic crystals,” Appl. Phys. A 66, 363–365 (1998).
[CrossRef]

Vos, W. L.

J. E. G. J. Wijnhoven, W. L. Vos, “Preparation of photonic crystals made of air spheres in titania,” Science 281, 802–804 (1998).
[CrossRef]

Wada, K.

K. M. Chen, A. W. Sparks, H. C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

Wang, J.

S. John, J. Wang, “Quantum electrodynamics near a photonic band gap: photon bound states and dressed atoms,” Phys. Rev. Lett. 58, 2418–2421 (1990).
[CrossRef]

Wijnhoven, J. E. G. J.

J. E. G. J. Wijnhoven, W. L. Vos, “Preparation of photonic crystals made of air spheres in titania,” Science 281, 802–804 (1998).
[CrossRef]

Winn, J. N.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

Wolf, E.

M. Born, E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, 1999), Chap. 1.6, pp. 54–74.

Yablonovitch, E.

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, “Donor and acceptor modes in photonic band structures,” Phys. Rev. Lett. 67, 3380–3383 (1991).
[CrossRef] [PubMed]

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

Yamashita, S.

N. Tsurumachi, S. Yamashita, N. Muroi, T. Fuji, T. Hattori, H. Nakatsuka, “Enhancement of nonlinear optical effect in one-dimensional photonic crystal structures,” Jpn. J. Appl. Phys. Part 1 38, 6302–6308 (1999).
[CrossRef]

Yao, T.

H.-Y. Lee, T. Yao, “Design and evaluation of omnidirectional one-dimensional photonic crystals,” J. Appl. Phys. 93, 819–830 (2003).
[CrossRef]

Yuan, Z.

H. Kitahara, N. Tsumura, H. Kondo, M. W. Takeda, J. W. Haus, Z. Yuan, “Terahertz wave dispersion in two-dimensional photonic crystals,” Phys. Rev. B 64, 045202 (2001).
[CrossRef]

T. Aoki, M. W. Takeda, J. W. Haus, Z. Yuan, M. Tani, K. Sakai, N. Kawai, K. Inoue, “Terahertz time-domain study of a pseudo-simple-cubic photonic lattice,” Phys. Rev. B 64, 045106 (2001).
[CrossRef]

Appl. Phys. A (1)

B. Temelkuran, E. Özbay, M. Sigalas, G. Tuttle, C. M. Soukoulis, K. M. Ho, “Reflection properties of metallic photonic crystals,” Appl. Phys. A 66, 363–365 (1998).
[CrossRef]

Appl. Phys. Lett. (5)

E. Özbay, B. Temelkuran, “Reflection properties and defect formation in photonic crystals,” Appl. Phys. Lett. 69, 743–745 (1996).
[CrossRef]

P. L. Phillips, J. C. Knight, J. M. Pottage, G. Kakarantzas, P. St. J. Russell, “Direct measurement of optical phase in the near field,” Appl. Phys. Lett. 76, 541–543 (2000).
[CrossRef]

K. M. Chen, A. W. Sparks, H. C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

B. Temelkuran, E. Özbay, “Experimental demonstration of photonic crystal-based waveguides,” Appl. Phys. Lett. 74, 486–488 (1999).
[CrossRef]

T.-I. Jeon, D. Grischkowsky, “Characterization of optically dense, doped semiconductors by reflection THz time domain spectroscopy,” Appl. Phys. Lett. 72, 3032–3034 (1998).
[CrossRef]

Electron. Lett. (2)

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Light controllable defect modes in three-dimensional photonic crystal,” Electron. Lett. 34, 1965–1967 (1998).
[CrossRef]

A. Chelnokov, S. Rowson, J. M. Lourtioz, L. Duvillaret, J. L. Coutaz, “Terahertz characterisation of mechanically machined 3D photonic crystal,” Electron. Lett. 33, 1981–1983 (1997).
[CrossRef]

Ferroelectrics (1)

P. Kužel, J. Petzelt, “Time-resolved terahertz transmission spectroscopy of dielectrics,” Ferroelectrics 239, 949–956 (2000).

J. Appl. Phys. (1)

H.-Y. Lee, T. Yao, “Design and evaluation of omnidirectional one-dimensional photonic crystals,” J. Appl. Phys. 93, 819–830 (2003).
[CrossRef]

J. Opt. Soc. Am. B (3)

Jpn. J. Appl. Phys. Part 1 (1)

N. Tsurumachi, S. Yamashita, N. Muroi, T. Fuji, T. Hattori, H. Nakatsuka, “Enhancement of nonlinear optical effect in one-dimensional photonic crystal structures,” Jpn. J. Appl. Phys. Part 1 38, 6302–6308 (1999).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. B (4)

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, “Photonic dispersion relation in a one-dimensional quasicrystal,” Phys. Rev. B 50, 4220–4223 (1994).
[CrossRef]

A. Figotin, V. Gorentsveig, “Localized electromagnetic waves in a layered periodic dielectric medium with a defect,” Phys. Rev. B 58, 180–188 (1998).
[CrossRef]

T. Aoki, M. W. Takeda, J. W. Haus, Z. Yuan, M. Tani, K. Sakai, N. Kawai, K. Inoue, “Terahertz time-domain study of a pseudo-simple-cubic photonic lattice,” Phys. Rev. B 64, 045106 (2001).
[CrossRef]

H. Kitahara, N. Tsumura, H. Kondo, M. W. Takeda, J. W. Haus, Z. Yuan, “Terahertz wave dispersion in two-dimensional photonic crystals,” Phys. Rev. B 64, 045202 (2001).
[CrossRef]

Phys. Rev. E (2)

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).
[CrossRef]

M. H. Lee, O. I. Sindoni, “Kramers-Kronig relations with logarithmic kernel and application to the phase spectrum in the Drude model,” Phys. Rev. E 56, 3891–3896 (1997).
[CrossRef]

Phys. Rev. Lett. (5)

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, “Donor and acceptor modes in photonic band structures,” Phys. Rev. Lett. 67, 3380–3383 (1991).
[CrossRef] [PubMed]

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
[CrossRef] [PubMed]

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

S. John, J. Wang, “Quantum electrodynamics near a photonic band gap: photon bound states and dressed atoms,” Phys. Rev. Lett. 58, 2418–2421 (1990).
[CrossRef]

S. L. McCall, P. M. Platzman, R. Dalichaouch, D. Smith, S. Schultz, “Microwave propagation in two-dimensional dielectric lattices,” Phys. Rev. Lett. 67, 2017–2020 (1991).
[CrossRef] [PubMed]

Rev. Sci. Instrum. (1)

A. Pashkin, M. Kempa, H. Němec, F. Kadlec, P. Kužel, “Phase-sensitive time-domain terahertz reflection spectroscopy,” Rev. Sci. Instrum. 74, 4711–4717 (2003).
[CrossRef]

Science (2)

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

J. E. G. J. Wijnhoven, W. L. Vos, “Preparation of photonic crystals made of air spheres in titania,” Science 281, 802–804 (1998).
[CrossRef]

Other (4)

H. Němec, L. Duvillaret, F. Quemeneur, P. Kužel, “Defect modes due to twinning in one-dimensional photonic crystals,” J. Opt. Soc. Am. B (to be published).

G. Grüner, ed., Millimeter and Submillimeter-Wave Spectroscopy of Solids (Springer-Verlag, Berlin, 1998).

K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, 2001).

M. Born, E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, 1999), Chap. 1.6, pp. 54–74.

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