Abstract

In this study, three-component 1-D photonic crystal (PC) structures were investigated by modeling them as two-component PCs with an additional regular layer. The gap map (GM) approach and the transfer matrix method (TMM) were used in order to mathematically describe these structures. The introduction of a third component to a 1-D PC allows manipulation of the optical contrast to a high degree of precision by varying the thickness and refractive index of the additional layer. The introduction of a third component to the 1-D PC partially reduces the area of the photonic stopbands (SBs) on the GM, leaving the rest of SB area unchanged from that in the GM for the original, two-component, PC. Using this approach to decrease optical contrast in PCs, omnidirectional bands (ODBs) can be obtained in high-contrast periodic structures constructed from, for example, an array of silicon and air. Several mathematical models of three-component 1-D PCs are discussed, some of which may have practical applications.

© 2010 IEEE

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  1. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
  2. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
  3. Y. Fink, J. N. Winn, F. Shanhui, C. Chiping, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A dielectric omnidirectional reflector," Science 282, 1679-1682 (1998).
  4. P. St, J. Russell, S. Tredwell, P. J. Roberts, "Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures," Opt. Commun. 160, 66-71 (1999).
  5. D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, S. V. Gaponenko, "Observation of total omnidirectional reflection from a one-dimensional dielectric lattice," Appl. Phys. A 68, 25-28 (1999).
  6. J. D. Joannopoulos, R. D. Meade, R. D. Winn, Photonic Crystals: Molding the Flow of Light (Princeton Univ. Press, 1995).
  7. K. Busch, S. Lölkes, R. Wehrspohn, H. Föll, Photonic Crystals: Advances in Design, Fabrication, and Characterization (Wiley-VCH, 2004).
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  10. V. Y. Pervak, Y. A. Pervak, "Suppression of background transmission of interference filters," Opt. Spectrosc. 88, 455-458 (2000).
  11. Y. Zhang, Q. Wang, "Properties of photonic bandgap in one-dimensional multicomponent photonic crystal," Optoelectron. Lett. 2, 44-47 (2006).
  12. A. Glushko, L. Karachevtseva, "PBG properties of three-component 2-D photonic crystals," Photon. Nanostruct. 4, 141-145 (2006).
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  14. V. A. Tolmachev, V. Baldycheva, E. Yu. Krutkova, T. S. Perova, K. Berwick, "Optical characteristics of a one-dimensional photonic crystal with an additional regular layer," Proc. SPIE 7390, 7-1-7-10 (2009).
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  17. V. Tolmachev, T. Perova, E. Krutkova, E. Khokhlova, "Elaboration of the gap map method for the design and analysis of one-dimensional photonic crystal structures," Phys. E 41, 1122-1126 (2009).
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  21. G. Barillaro, S. Merlo, L. M. Strambini, "Bandgap tuning of silicon micromachined 1-D photonic crystals by thermal oxidation," IEEE J. Sel. Topics Quantum Electron. 14, 1074-1081 (2008).
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  23. E. V. Astrova, V. A. Tolmachev, G. V. Fedulova, V. A. Melnikov, A. V. Ankudinov, T. S. Perova, "Optical properties of one-dimensional photonic crystals fabricated by photo-electrochemical etching of silicon," Appl. Phys. A 98, 571-581 (2010).
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  25. E. V. Astrova, T. S. Perova, V. A. Tolmachev, A. D. Remenyuk, J. Vij, A. Moore, "IR birefringence in artificial crystal fabricated by anisotropic etching of silicon," Semicond. 37, 399-403 (2003).
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2010 (1)

E. V. Astrova, V. A. Tolmachev, G. V. Fedulova, V. A. Melnikov, A. V. Ankudinov, T. S. Perova, "Optical properties of one-dimensional photonic crystals fabricated by photo-electrochemical etching of silicon," Appl. Phys. A 98, 571-581 (2010).

2009 (2)

V. A. Tolmachev, V. Baldycheva, E. Yu. Krutkova, T. S. Perova, K. Berwick, "Optical characteristics of a one-dimensional photonic crystal with an additional regular layer," Proc. SPIE 7390, 7-1-7-10 (2009).

V. Tolmachev, T. Perova, E. Krutkova, E. Khokhlova, "Elaboration of the gap map method for the design and analysis of one-dimensional photonic crystal structures," Phys. E 41, 1122-1126 (2009).

2008 (3)

T. S. Perova, V. A. Tolmachev, E. V. Astrova, "Tunable photonic structures based on silicon and liquid crystals," Proc. SPIE 6801, W-1-W-15 (2008).

G. Barillaro, S. Merlo, L. M. Strambini, "Bandgap tuning of silicon micromachined 1-D photonic crystals by thermal oxidation," IEEE J. Sel. Topics Quantum Electron. 14, 1074-1081 (2008).

M. V. Rybin, A. V. Baryshev, A. B. Khanikaev, M. Inoue, K. B. Samusev, A. V. Sel'kin, G. Yushin, M. F. Limonov, "Selective manipulation of stop-bands in multicomponent photonic crystals: Opals as an example," Phys. Rev. B 77, 6-1-6-15 (2008).

2006 (2)

Y. Zhang, Q. Wang, "Properties of photonic bandgap in one-dimensional multicomponent photonic crystal," Optoelectron. Lett. 2, 44-47 (2006).

A. Glushko, L. Karachevtseva, "PBG properties of three-component 2-D photonic crystals," Photon. Nanostruct. 4, 141-145 (2006).

2005 (3)

H. Ouyang, M. Lee, B. L. Miller, P. M. Fauchet, "Silicon photonic bandgap biosensors," Proc. SPIE 5926, J-1-J-11 (2005).

V. A. Tolmachev, E. V. Astrova, J. A. Pilyugina, T. S. Perova, R. A. Moore, J. K. Vij, "1D photonic crystal fabricated by wet etching of silicon," Opt. Mater. 27, 831-835 (2005).

V. A. Tolmachev, T. S. Perova, R. A. Moore, "Method of construction of composite one-dimensional photonic crystal with extended photonic band gaps," Opt. Exp. 13, 8433-8441 (2005).

2003 (2)

E. V. Astrova, T. S. Perova, V. A. Tolmachev, A. D. Remenyuk, J. Vij, A. Moore, "IR birefringence in artificial crystal fabricated by anisotropic etching of silicon," Semicond. 37, 399-403 (2003).

V. A. Tolmachev, T. S. Perova, K. Berwick, "Design criteria and optical characteristics of one-dimensional photonic crystals based on periodically grooved silicon," Appl. Opt. 42, 5679-5683 (2003).

2000 (1)

V. Y. Pervak, Y. A. Pervak, "Suppression of background transmission of interference filters," Opt. Spectrosc. 88, 455-458 (2000).

1999 (2)

P. St, J. Russell, S. Tredwell, P. J. Roberts, "Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures," Opt. Commun. 160, 66-71 (1999).

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, S. V. Gaponenko, "Observation of total omnidirectional reflection from a one-dimensional dielectric lattice," Appl. Phys. A 68, 25-28 (1999).

1998 (1)

Y. Fink, J. N. Winn, F. Shanhui, C. Chiping, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A dielectric omnidirectional reflector," Science 282, 1679-1682 (1998).

1987 (2)

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

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).

1973 (1)

A. Thelen, "Multilayer filters with wide transmittance bands, II," JOSA 63, 65-68 (1973).

1955 (1)

L. I. Epstein, "Improvements in heat-reflecting filters," JOSA 45, 360-362 (1955).

Appl. Opt. (1)

Appl. Phys. A (2)

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, S. V. Gaponenko, "Observation of total omnidirectional reflection from a one-dimensional dielectric lattice," Appl. Phys. A 68, 25-28 (1999).

E. V. Astrova, V. A. Tolmachev, G. V. Fedulova, V. A. Melnikov, A. V. Ankudinov, T. S. Perova, "Optical properties of one-dimensional photonic crystals fabricated by photo-electrochemical etching of silicon," Appl. Phys. A 98, 571-581 (2010).

IEEE J. Sel. Topics Quantum Electron. (1)

G. Barillaro, S. Merlo, L. M. Strambini, "Bandgap tuning of silicon micromachined 1-D photonic crystals by thermal oxidation," IEEE J. Sel. Topics Quantum Electron. 14, 1074-1081 (2008).

JOSA (2)

L. I. Epstein, "Improvements in heat-reflecting filters," JOSA 45, 360-362 (1955).

A. Thelen, "Multilayer filters with wide transmittance bands, II," JOSA 63, 65-68 (1973).

Opt. Commun. (1)

P. St, J. Russell, S. Tredwell, P. J. Roberts, "Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures," Opt. Commun. 160, 66-71 (1999).

Opt. Exp. (1)

V. A. Tolmachev, T. S. Perova, R. A. Moore, "Method of construction of composite one-dimensional photonic crystal with extended photonic band gaps," Opt. Exp. 13, 8433-8441 (2005).

Opt. Mater. (1)

V. A. Tolmachev, E. V. Astrova, J. A. Pilyugina, T. S. Perova, R. A. Moore, J. K. Vij, "1D photonic crystal fabricated by wet etching of silicon," Opt. Mater. 27, 831-835 (2005).

Opt. Spectrosc. (1)

V. Y. Pervak, Y. A. Pervak, "Suppression of background transmission of interference filters," Opt. Spectrosc. 88, 455-458 (2000).

Optoelectron. Lett. (1)

Y. Zhang, Q. Wang, "Properties of photonic bandgap in one-dimensional multicomponent photonic crystal," Optoelectron. Lett. 2, 44-47 (2006).

Photon. Nanostruct. (1)

A. Glushko, L. Karachevtseva, "PBG properties of three-component 2-D photonic crystals," Photon. Nanostruct. 4, 141-145 (2006).

Phys. E (1)

V. Tolmachev, T. Perova, E. Krutkova, E. Khokhlova, "Elaboration of the gap map method for the design and analysis of one-dimensional photonic crystal structures," Phys. E 41, 1122-1126 (2009).

Phys. Rev. B (1)

M. V. Rybin, A. V. Baryshev, A. B. Khanikaev, M. Inoue, K. B. Samusev, A. V. Sel'kin, G. Yushin, M. F. Limonov, "Selective manipulation of stop-bands in multicomponent photonic crystals: Opals as an example," Phys. Rev. B 77, 6-1-6-15 (2008).

Phys. Rev. Lett. (2)

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

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).

Proc. SPIE (3)

V. A. Tolmachev, V. Baldycheva, E. Yu. Krutkova, T. S. Perova, K. Berwick, "Optical characteristics of a one-dimensional photonic crystal with an additional regular layer," Proc. SPIE 7390, 7-1-7-10 (2009).

T. S. Perova, V. A. Tolmachev, E. V. Astrova, "Tunable photonic structures based on silicon and liquid crystals," Proc. SPIE 6801, W-1-W-15 (2008).

H. Ouyang, M. Lee, B. L. Miller, P. M. Fauchet, "Silicon photonic bandgap biosensors," Proc. SPIE 5926, J-1-J-11 (2005).

Science (1)

Y. Fink, J. N. Winn, F. Shanhui, C. Chiping, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A dielectric omnidirectional reflector," Science 282, 1679-1682 (1998).

Semicond. (1)

E. V. Astrova, T. S. Perova, V. A. Tolmachev, A. D. Remenyuk, J. Vij, A. Moore, "IR birefringence in artificial crystal fabricated by anisotropic etching of silicon," Semicond. 37, 399-403 (2003).

Other (5)

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton Univ. Press, 2008).

M. Born, E. Wolf, Principles of Optics (Pergamon, 1969).

J. D. Joannopoulos, R. D. Meade, R. D. Winn, Photonic Crystals: Molding the Flow of Light (Princeton Univ. Press, 1995).

K. Busch, S. Lölkes, R. Wehrspohn, H. Föll, Photonic Crystals: Advances in Design, Fabrication, and Characterization (Wiley-VCH, 2004).

R. M. A. Azzam, N. M. Bashara, Ellipsometry and Polarized Light (North Holland, 1977) pp. 269-363.

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