Abstract

A method of photonic band gap extension using mixing of periodic structures with two or more consecutively placed photonic crystals with different lattice constants is proposed. For the design of the structures with maximal photonic band gap extension the gap map imposition method is utilised. Optimal structures have been established and the gap map of photonic band gaps has been calculated at normal incidence of light for both small and large optical contrast and at oblique incidence of light for small optical contrast.

© 2005 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. D. Joannopoulos , R. D. Meade , and J. N. Winn , Photonic Crystals: Molding the Flow of Light ( Princeton University Press, Singapore , 1995 ).
  3. Y. Fink , J. N. Winn , F. Shanhui , C. Chiping , J. Michel , J. D. Joannopoulos , and E. L. Thomas ,“ A dielectric omnidirectional reflector ,” Science   282 , 1679 – 1682 ( 1998 ).
    [Crossref] [PubMed]
  4. D.N. Chigrin , A.V. Lavrinenko , D.A. Yarotsky , and S.V. Gaponenko , “ Observation of total omnidirectional reflection from a one-dimensional dielectric lattice ,” Appl.Phys. A   68 , 25 – 28 ( 1999 ).
    [Crossref]
  5. P.St.J. Russell , S. Tredwell , and P.J. Roberts , “ Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures ,” Opt.Commun.   160 , 66 – 71 ( 1999 ).
    [Crossref]
  6. P. Yeh and A. Yariv , Optical waves in crystals ( Wiley, USA , 1984 , pp. 589 ).
  7. D. N. Chigrin , A. V. Lavrinenko , D. A. Yarotsky , and S. V. Gaponenko ,“ All-dielectric one-dimensional periodic structures for total omnidirectional reflection and partial spontaneous emission control ,” J. Lightwave Techn.   17 , 2018 – 2024 ( 1999 ).
    [Crossref]
  8. C. Jamois , R.B. Wehrspohn , L.C. Andreani , C. Hermannd , O. Hess , and U. Gosele , “ Silicon-based two-dimensional photonic crystal waveguides ,” Photonics and Nanostructures - Fundamentals and Applications   1 , 1 – 13 ( 2003 ).
    [Crossref]
  9. L.F. Marsal , T. Trifonov , A. Rodriguez , J. Pallares , and R. Alcubilla , “ Larger absolute photonic band gap in two-dimensional air-silicon structures ,” Physica E   16 , 580 – 585 ( 2003 ).
    [Crossref]
  10. V.A. Tolmachev , T.S. Perova , E.V. Astrova , J.A. Pilyugina , and R.A. Moore , “ Optical characteristics of ordinary and tunable 1D Si photonic crystals in the mid infrared range ,” Proc. SPIE   5825 (to be published).
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  12. V.A. Tolmachev , T.S. Perova , and K. Berwick , “ Design criteria and optical characteristics of 1D photonic crystals based on periodically grooved silicon ,” Appl. Opt.   42 , 5679 – 5683 ( 2003 ).
    [Crossref] [PubMed]
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  15. D. Zhang , Z. Li , W. Hu , and B. Cheng , “ Broadband optical reflector-an application of light localization in one dimension ,” Appl.Phys.Lett.   67 , 2431 – 2432 ( 1995 ).
    [Crossref]
  16. H. Li , H. Cheng , and X. Qiu , “ Band-gap extension of disordered 1D binary photonic crystals ,” Physica B   279 , 164 – 167 ( 2000 ).
    [Crossref]
  17. V.A. Tolmachev , T.S. Perova , J. Pilyugina , and R.A. Moore , “ Experimental verification of photonic band gap extension for disordered 1D photonic crystal based on Si ”, Opt.Commun. (to be published).
  18. W.H. Southwell , “ Omnidirectional mirror design with quarter-wave dielectric stacks ,” Appl.Opt.   38 , 5464 – 5467 ( 1999 ).
    [Crossref]
  19. X. Wang , X. Hu , Y. Li , W. Jia , C. Xu , X. Liu , and J. Zia , “ Enlagment of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures ,” Appl. Phys. Lett.   80 , 4291 – 4293 ( 2002 )
    [Crossref]
  20. V.A. Tolmachev , T.S. Perova , and K. Berwick , “ Design of 1D composite photonic crystals with an extended photonic band gap ,” J.App.Phys. (paper submitted).

2003 (3)

C. Jamois , R.B. Wehrspohn , L.C. Andreani , C. Hermannd , O. Hess , and U. Gosele , “ Silicon-based two-dimensional photonic crystal waveguides ,” Photonics and Nanostructures - Fundamentals and Applications   1 , 1 – 13 ( 2003 ).
[Crossref]

L.F. Marsal , T. Trifonov , A. Rodriguez , J. Pallares , and R. Alcubilla , “ Larger absolute photonic band gap in two-dimensional air-silicon structures ,” Physica E   16 , 580 – 585 ( 2003 ).
[Crossref]

V.A. Tolmachev , T.S. Perova , and K. Berwick , “ Design criteria and optical characteristics of 1D photonic crystals based on periodically grooved silicon ,” Appl. Opt.   42 , 5679 – 5683 ( 2003 ).
[Crossref] [PubMed]

2002 (1)

X. Wang , X. Hu , Y. Li , W. Jia , C. Xu , X. Liu , and J. Zia , “ Enlagment of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures ,” Appl. Phys. Lett.   80 , 4291 – 4293 ( 2002 )
[Crossref]

2000 (1)

H. Li , H. Cheng , and X. Qiu , “ Band-gap extension of disordered 1D binary photonic crystals ,” Physica B   279 , 164 – 167 ( 2000 ).
[Crossref]

1999 (4)

W.H. Southwell , “ Omnidirectional mirror design with quarter-wave dielectric stacks ,” Appl.Opt.   38 , 5464 – 5467 ( 1999 ).
[Crossref]

D.N. Chigrin , A.V. Lavrinenko , D.A. Yarotsky , and S.V. Gaponenko , “ Observation of total omnidirectional reflection from a one-dimensional dielectric lattice ,” Appl.Phys. A   68 , 25 – 28 ( 1999 ).
[Crossref]

P.St.J. Russell , S. Tredwell , and P.J. Roberts , “ Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures ,” Opt.Commun.   160 , 66 – 71 ( 1999 ).
[Crossref]

D. N. Chigrin , A. V. Lavrinenko , D. A. Yarotsky , and S. V. Gaponenko ,“ All-dielectric one-dimensional periodic structures for total omnidirectional reflection and partial spontaneous emission control ,” J. Lightwave Techn.   17 , 2018 – 2024 ( 1999 ).
[Crossref]

1998 (1)

Y. Fink , J. N. Winn , F. Shanhui , C. Chiping , J. Michel , J. D. Joannopoulos , and E. L. Thomas ,“ A dielectric omnidirectional reflector ,” Science   282 , 1679 – 1682 ( 1998 ).
[Crossref] [PubMed]

1995 (1)

D. Zhang , Z. Li , W. Hu , and B. Cheng , “ Broadband optical reflector-an application of light localization in one dimension ,” Appl.Phys.Lett.   67 , 2431 – 2432 ( 1995 ).
[Crossref]

1994 (1)

D. Zhang , W. Hu , Y. Zhang , Z. Li , B. Cheng , and G. Yang , “ Experimental verification of light localization for disordered multilayers in the visible-infrared spectrum ,” Phys.Rev.   B50 , 9810 – 9814 ( 1994 ).

1987 (1)

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

Alcubilla, R.

L.F. Marsal , T. Trifonov , A. Rodriguez , J. Pallares , and R. Alcubilla , “ Larger absolute photonic band gap in two-dimensional air-silicon structures ,” Physica E   16 , 580 – 585 ( 2003 ).
[Crossref]

Andreani, L.C.

C. Jamois , R.B. Wehrspohn , L.C. Andreani , C. Hermannd , O. Hess , and U. Gosele , “ Silicon-based two-dimensional photonic crystal waveguides ,” Photonics and Nanostructures - Fundamentals and Applications   1 , 1 – 13 ( 2003 ).
[Crossref]

Astrova, E.V.

V.A. Tolmachev , T.S. Perova , E.V. Astrova , J.A. Pilyugina , and R.A. Moore , “ Optical characteristics of ordinary and tunable 1D Si photonic crystals in the mid infrared range ,” Proc. SPIE   5825 (to be published).

Berwick, K.

V.A. Tolmachev , T.S. Perova , and K. Berwick , “ Design criteria and optical characteristics of 1D photonic crystals based on periodically grooved silicon ,” Appl. Opt.   42 , 5679 – 5683 ( 2003 ).
[Crossref] [PubMed]

V.A. Tolmachev , T.S. Perova , and K. Berwick , “ Design of 1D composite photonic crystals with an extended photonic band gap ,” J.App.Phys. (paper submitted).

Born, M.

M. Born and E. Wolf , Principles of Optics (sixth ed., Pergamon Press , 1980 , p. 381 ); R.M.A. Azzam and N.M. Bashara , Ellipsometry and polarized light ( North-Holland, Amsterdam, Netherlands , 1977 ).

Cheng, B.

D. Zhang , Z. Li , W. Hu , and B. Cheng , “ Broadband optical reflector-an application of light localization in one dimension ,” Appl.Phys.Lett.   67 , 2431 – 2432 ( 1995 ).
[Crossref]

D. Zhang , W. Hu , Y. Zhang , Z. Li , B. Cheng , and G. Yang , “ Experimental verification of light localization for disordered multilayers in the visible-infrared spectrum ,” Phys.Rev.   B50 , 9810 – 9814 ( 1994 ).

Cheng, H.

H. Li , H. Cheng , and X. Qiu , “ Band-gap extension of disordered 1D binary photonic crystals ,” Physica B   279 , 164 – 167 ( 2000 ).
[Crossref]

Chigrin, D. N.

D. N. Chigrin , A. V. Lavrinenko , D. A. Yarotsky , and S. V. Gaponenko ,“ All-dielectric one-dimensional periodic structures for total omnidirectional reflection and partial spontaneous emission control ,” J. Lightwave Techn.   17 , 2018 – 2024 ( 1999 ).
[Crossref]

Chigrin, D.N.

D.N. Chigrin , A.V. Lavrinenko , D.A. Yarotsky , and S.V. Gaponenko , “ Observation of total omnidirectional reflection from a one-dimensional dielectric lattice ,” Appl.Phys. A   68 , 25 – 28 ( 1999 ).
[Crossref]

Chiping, C.

Y. Fink , J. N. Winn , F. Shanhui , C. Chiping , J. Michel , J. D. Joannopoulos , and E. L. Thomas ,“ A dielectric omnidirectional reflector ,” Science   282 , 1679 – 1682 ( 1998 ).
[Crossref] [PubMed]

Fink, Y.

Y. Fink , J. N. Winn , F. Shanhui , C. Chiping , J. Michel , J. D. Joannopoulos , and E. L. Thomas ,“ A dielectric omnidirectional reflector ,” Science   282 , 1679 – 1682 ( 1998 ).
[Crossref] [PubMed]

Gaponenko, S. V.

D. N. Chigrin , A. V. Lavrinenko , D. A. Yarotsky , and S. V. Gaponenko ,“ All-dielectric one-dimensional periodic structures for total omnidirectional reflection and partial spontaneous emission control ,” J. Lightwave Techn.   17 , 2018 – 2024 ( 1999 ).
[Crossref]

Gaponenko, S.V.

D.N. Chigrin , A.V. Lavrinenko , D.A. Yarotsky , and S.V. Gaponenko , “ Observation of total omnidirectional reflection from a one-dimensional dielectric lattice ,” Appl.Phys. A   68 , 25 – 28 ( 1999 ).
[Crossref]

Gosele, U.

C. Jamois , R.B. Wehrspohn , L.C. Andreani , C. Hermannd , O. Hess , and U. Gosele , “ Silicon-based two-dimensional photonic crystal waveguides ,” Photonics and Nanostructures - Fundamentals and Applications   1 , 1 – 13 ( 2003 ).
[Crossref]

Hermannd, C.

C. Jamois , R.B. Wehrspohn , L.C. Andreani , C. Hermannd , O. Hess , and U. Gosele , “ Silicon-based two-dimensional photonic crystal waveguides ,” Photonics and Nanostructures - Fundamentals and Applications   1 , 1 – 13 ( 2003 ).
[Crossref]

Hess, O.

C. Jamois , R.B. Wehrspohn , L.C. Andreani , C. Hermannd , O. Hess , and U. Gosele , “ Silicon-based two-dimensional photonic crystal waveguides ,” Photonics and Nanostructures - Fundamentals and Applications   1 , 1 – 13 ( 2003 ).
[Crossref]

Hu, W.

D. Zhang , Z. Li , W. Hu , and B. Cheng , “ Broadband optical reflector-an application of light localization in one dimension ,” Appl.Phys.Lett.   67 , 2431 – 2432 ( 1995 ).
[Crossref]

D. Zhang , W. Hu , Y. Zhang , Z. Li , B. Cheng , and G. Yang , “ Experimental verification of light localization for disordered multilayers in the visible-infrared spectrum ,” Phys.Rev.   B50 , 9810 – 9814 ( 1994 ).

Hu, X.

X. Wang , X. Hu , Y. Li , W. Jia , C. Xu , X. Liu , and J. Zia , “ Enlagment of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures ,” Appl. Phys. Lett.   80 , 4291 – 4293 ( 2002 )
[Crossref]

Jamois, C.

C. Jamois , R.B. Wehrspohn , L.C. Andreani , C. Hermannd , O. Hess , and U. Gosele , “ Silicon-based two-dimensional photonic crystal waveguides ,” Photonics and Nanostructures - Fundamentals and Applications   1 , 1 – 13 ( 2003 ).
[Crossref]

Jia, W.

X. Wang , X. Hu , Y. Li , W. Jia , C. Xu , X. Liu , and J. Zia , “ Enlagment of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures ,” Appl. Phys. Lett.   80 , 4291 – 4293 ( 2002 )
[Crossref]

Joannopoulos, J. D.

Y. Fink , J. N. Winn , F. Shanhui , C. Chiping , J. Michel , J. D. Joannopoulos , and E. L. Thomas ,“ A dielectric omnidirectional reflector ,” Science   282 , 1679 – 1682 ( 1998 ).
[Crossref] [PubMed]

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

Lavrinenko, A. V.

D. N. Chigrin , A. V. Lavrinenko , D. A. Yarotsky , and S. V. Gaponenko ,“ All-dielectric one-dimensional periodic structures for total omnidirectional reflection and partial spontaneous emission control ,” J. Lightwave Techn.   17 , 2018 – 2024 ( 1999 ).
[Crossref]

Lavrinenko, A.V.

D.N. Chigrin , A.V. Lavrinenko , D.A. Yarotsky , and S.V. Gaponenko , “ Observation of total omnidirectional reflection from a one-dimensional dielectric lattice ,” Appl.Phys. A   68 , 25 – 28 ( 1999 ).
[Crossref]

Li, H.

H. Li , H. Cheng , and X. Qiu , “ Band-gap extension of disordered 1D binary photonic crystals ,” Physica B   279 , 164 – 167 ( 2000 ).
[Crossref]

Li, Y.

X. Wang , X. Hu , Y. Li , W. Jia , C. Xu , X. Liu , and J. Zia , “ Enlagment of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures ,” Appl. Phys. Lett.   80 , 4291 – 4293 ( 2002 )
[Crossref]

Li, Z.

D. Zhang , Z. Li , W. Hu , and B. Cheng , “ Broadband optical reflector-an application of light localization in one dimension ,” Appl.Phys.Lett.   67 , 2431 – 2432 ( 1995 ).
[Crossref]

D. Zhang , W. Hu , Y. Zhang , Z. Li , B. Cheng , and G. Yang , “ Experimental verification of light localization for disordered multilayers in the visible-infrared spectrum ,” Phys.Rev.   B50 , 9810 – 9814 ( 1994 ).

Liu, X.

X. Wang , X. Hu , Y. Li , W. Jia , C. Xu , X. Liu , and J. Zia , “ Enlagment of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures ,” Appl. Phys. Lett.   80 , 4291 – 4293 ( 2002 )
[Crossref]

Marsal, L.F.

L.F. Marsal , T. Trifonov , A. Rodriguez , J. Pallares , and R. Alcubilla , “ Larger absolute photonic band gap in two-dimensional air-silicon structures ,” Physica E   16 , 580 – 585 ( 2003 ).
[Crossref]

Meade, R. D.

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

Michel, J.

Y. Fink , J. N. Winn , F. Shanhui , C. Chiping , J. Michel , J. D. Joannopoulos , and E. L. Thomas ,“ A dielectric omnidirectional reflector ,” Science   282 , 1679 – 1682 ( 1998 ).
[Crossref] [PubMed]

Moore, R.A.

V.A. Tolmachev , T.S. Perova , J. Pilyugina , and R.A. Moore , “ Experimental verification of photonic band gap extension for disordered 1D photonic crystal based on Si ”, Opt.Commun. (to be published).

V.A. Tolmachev , T.S. Perova , E.V. Astrova , J.A. Pilyugina , and R.A. Moore , “ Optical characteristics of ordinary and tunable 1D Si photonic crystals in the mid infrared range ,” Proc. SPIE   5825 (to be published).

Pallares, J.

L.F. Marsal , T. Trifonov , A. Rodriguez , J. Pallares , and R. Alcubilla , “ Larger absolute photonic band gap in two-dimensional air-silicon structures ,” Physica E   16 , 580 – 585 ( 2003 ).
[Crossref]

Perova, T.S.

V.A. Tolmachev , T.S. Perova , and K. Berwick , “ Design criteria and optical characteristics of 1D photonic crystals based on periodically grooved silicon ,” Appl. Opt.   42 , 5679 – 5683 ( 2003 ).
[Crossref] [PubMed]

V.A. Tolmachev , T.S. Perova , and K. Berwick , “ Design of 1D composite photonic crystals with an extended photonic band gap ,” J.App.Phys. (paper submitted).

V.A. Tolmachev , T.S. Perova , J. Pilyugina , and R.A. Moore , “ Experimental verification of photonic band gap extension for disordered 1D photonic crystal based on Si ”, Opt.Commun. (to be published).

V.A. Tolmachev , T.S. Perova , E.V. Astrova , J.A. Pilyugina , and R.A. Moore , “ Optical characteristics of ordinary and tunable 1D Si photonic crystals in the mid infrared range ,” Proc. SPIE   5825 (to be published).

Pilyugina, J.

V.A. Tolmachev , T.S. Perova , J. Pilyugina , and R.A. Moore , “ Experimental verification of photonic band gap extension for disordered 1D photonic crystal based on Si ”, Opt.Commun. (to be published).

Pilyugina, J.A.

V.A. Tolmachev , T.S. Perova , E.V. Astrova , J.A. Pilyugina , and R.A. Moore , “ Optical characteristics of ordinary and tunable 1D Si photonic crystals in the mid infrared range ,” Proc. SPIE   5825 (to be published).

Qiu, X.

H. Li , H. Cheng , and X. Qiu , “ Band-gap extension of disordered 1D binary photonic crystals ,” Physica B   279 , 164 – 167 ( 2000 ).
[Crossref]

Roberts, P.J.

P.St.J. Russell , S. Tredwell , and P.J. Roberts , “ Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures ,” Opt.Commun.   160 , 66 – 71 ( 1999 ).
[Crossref]

Rodriguez, A.

L.F. Marsal , T. Trifonov , A. Rodriguez , J. Pallares , and R. Alcubilla , “ Larger absolute photonic band gap in two-dimensional air-silicon structures ,” Physica E   16 , 580 – 585 ( 2003 ).
[Crossref]

Russell, P.St.J.

P.St.J. Russell , S. Tredwell , and P.J. Roberts , “ Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures ,” Opt.Commun.   160 , 66 – 71 ( 1999 ).
[Crossref]

Shanhui, F.

Y. Fink , J. N. Winn , F. Shanhui , C. Chiping , J. Michel , J. D. Joannopoulos , and E. L. Thomas ,“ A dielectric omnidirectional reflector ,” Science   282 , 1679 – 1682 ( 1998 ).
[Crossref] [PubMed]

Southwell, W.H.

W.H. Southwell , “ Omnidirectional mirror design with quarter-wave dielectric stacks ,” Appl.Opt.   38 , 5464 – 5467 ( 1999 ).
[Crossref]

Thomas, E. L.

Y. Fink , J. N. Winn , F. Shanhui , C. Chiping , J. Michel , J. D. Joannopoulos , and E. L. Thomas ,“ A dielectric omnidirectional reflector ,” Science   282 , 1679 – 1682 ( 1998 ).
[Crossref] [PubMed]

Tolmachev, V.A.

V.A. Tolmachev , T.S. Perova , and K. Berwick , “ Design criteria and optical characteristics of 1D photonic crystals based on periodically grooved silicon ,” Appl. Opt.   42 , 5679 – 5683 ( 2003 ).
[Crossref] [PubMed]

V.A. Tolmachev , T.S. Perova , and K. Berwick , “ Design of 1D composite photonic crystals with an extended photonic band gap ,” J.App.Phys. (paper submitted).

V.A. Tolmachev , T.S. Perova , J. Pilyugina , and R.A. Moore , “ Experimental verification of photonic band gap extension for disordered 1D photonic crystal based on Si ”, Opt.Commun. (to be published).

V.A. Tolmachev , T.S. Perova , E.V. Astrova , J.A. Pilyugina , and R.A. Moore , “ Optical characteristics of ordinary and tunable 1D Si photonic crystals in the mid infrared range ,” Proc. SPIE   5825 (to be published).

Tredwell, S.

P.St.J. Russell , S. Tredwell , and P.J. Roberts , “ Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures ,” Opt.Commun.   160 , 66 – 71 ( 1999 ).
[Crossref]

Trifonov, T.

L.F. Marsal , T. Trifonov , A. Rodriguez , J. Pallares , and R. Alcubilla , “ Larger absolute photonic band gap in two-dimensional air-silicon structures ,” Physica E   16 , 580 – 585 ( 2003 ).
[Crossref]

Wang, X.

X. Wang , X. Hu , Y. Li , W. Jia , C. Xu , X. Liu , and J. Zia , “ Enlagment of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures ,” Appl. Phys. Lett.   80 , 4291 – 4293 ( 2002 )
[Crossref]

Wehrspohn, R.B.

C. Jamois , R.B. Wehrspohn , L.C. Andreani , C. Hermannd , O. Hess , and U. Gosele , “ Silicon-based two-dimensional photonic crystal waveguides ,” Photonics and Nanostructures - Fundamentals and Applications   1 , 1 – 13 ( 2003 ).
[Crossref]

Winn, J. N.

Y. Fink , J. N. Winn , F. Shanhui , C. Chiping , J. Michel , J. D. Joannopoulos , and E. L. Thomas ,“ A dielectric omnidirectional reflector ,” Science   282 , 1679 – 1682 ( 1998 ).
[Crossref] [PubMed]

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

Wolf, E.

M. Born and E. Wolf , Principles of Optics (sixth ed., Pergamon Press , 1980 , p. 381 ); R.M.A. Azzam and N.M. Bashara , Ellipsometry and polarized light ( North-Holland, Amsterdam, Netherlands , 1977 ).

Xu, C.

X. Wang , X. Hu , Y. Li , W. Jia , C. Xu , X. Liu , and J. Zia , “ Enlagment of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures ,” Appl. Phys. Lett.   80 , 4291 – 4293 ( 2002 )
[Crossref]

Yablonovitch, E.

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

Yang, G.

D. Zhang , W. Hu , Y. Zhang , Z. Li , B. Cheng , and G. Yang , “ Experimental verification of light localization for disordered multilayers in the visible-infrared spectrum ,” Phys.Rev.   B50 , 9810 – 9814 ( 1994 ).

Yariv, A.

P. Yeh and A. Yariv , Optical waves in crystals ( Wiley, USA , 1984 , pp. 589 ).

Yarotsky, D. A.

D. N. Chigrin , A. V. Lavrinenko , D. A. Yarotsky , and S. V. Gaponenko ,“ All-dielectric one-dimensional periodic structures for total omnidirectional reflection and partial spontaneous emission control ,” J. Lightwave Techn.   17 , 2018 – 2024 ( 1999 ).
[Crossref]

Yarotsky, D.A.

D.N. Chigrin , A.V. Lavrinenko , D.A. Yarotsky , and S.V. Gaponenko , “ Observation of total omnidirectional reflection from a one-dimensional dielectric lattice ,” Appl.Phys. A   68 , 25 – 28 ( 1999 ).
[Crossref]

Yeh, P.

P. Yeh and A. Yariv , Optical waves in crystals ( Wiley, USA , 1984 , pp. 589 ).

Zhang, D.

D. Zhang , Z. Li , W. Hu , and B. Cheng , “ Broadband optical reflector-an application of light localization in one dimension ,” Appl.Phys.Lett.   67 , 2431 – 2432 ( 1995 ).
[Crossref]

D. Zhang , W. Hu , Y. Zhang , Z. Li , B. Cheng , and G. Yang , “ Experimental verification of light localization for disordered multilayers in the visible-infrared spectrum ,” Phys.Rev.   B50 , 9810 – 9814 ( 1994 ).

Zhang, Y.

D. Zhang , W. Hu , Y. Zhang , Z. Li , B. Cheng , and G. Yang , “ Experimental verification of light localization for disordered multilayers in the visible-infrared spectrum ,” Phys.Rev.   B50 , 9810 – 9814 ( 1994 ).

Zia, J.

X. Wang , X. Hu , Y. Li , W. Jia , C. Xu , X. Liu , and J. Zia , “ Enlagment of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures ,” Appl. Phys. Lett.   80 , 4291 – 4293 ( 2002 )
[Crossref]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

X. Wang , X. Hu , Y. Li , W. Jia , C. Xu , X. Liu , and J. Zia , “ Enlagment of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures ,” Appl. Phys. Lett.   80 , 4291 – 4293 ( 2002 )
[Crossref]

Appl.Opt. (1)

W.H. Southwell , “ Omnidirectional mirror design with quarter-wave dielectric stacks ,” Appl.Opt.   38 , 5464 – 5467 ( 1999 ).
[Crossref]

Appl.Phys. A (1)

D.N. Chigrin , A.V. Lavrinenko , D.A. Yarotsky , and S.V. Gaponenko , “ Observation of total omnidirectional reflection from a one-dimensional dielectric lattice ,” Appl.Phys. A   68 , 25 – 28 ( 1999 ).
[Crossref]

Appl.Phys.Lett. (1)

D. Zhang , Z. Li , W. Hu , and B. Cheng , “ Broadband optical reflector-an application of light localization in one dimension ,” Appl.Phys.Lett.   67 , 2431 – 2432 ( 1995 ).
[Crossref]

J. Lightwave Techn. (1)

D. N. Chigrin , A. V. Lavrinenko , D. A. Yarotsky , and S. V. Gaponenko ,“ All-dielectric one-dimensional periodic structures for total omnidirectional reflection and partial spontaneous emission control ,” J. Lightwave Techn.   17 , 2018 – 2024 ( 1999 ).
[Crossref]

Opt.Commun. (1)

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Figures (3)

Fig 1.
Fig 1.

(a) The region of the lowest PBG for PC with A=0.21 μm (thin line) and imposition of the gap maps for ID PCs with different A shown beside the regions of the corresponding PBGs (thick lines). The calculations are performed at normal incidence of light using the optical contrast ∆n=2.3/1.45, m=l0 and criterion R PBG=0.999. The PBG regions of higher order are not shown. The predicted region of v (or λ), due to the overlapping of PBGs of four PCs, is ∆λ≈0.4μm for the filling factor f =0.3. (b) The gap map of composite ID PC with the extended PBG (grey region) obtained for the sequence of PCs with A=0.21-0.185-0.156-0.13 μm (marked as a ‘comb’). The gap map for A=0.21 μm and m=40 (shown by dash-dotted line) and m=10 (shown by dark region) are presented for comparison. Insert - the dependence of the relative width of PBG, (∆λ/λ) versus f.

Fig. 2.
Fig. 2.

(a) Overlapping of two PBG gap maps from two conventional PCs with lattice constants A1=3 (white regions) and A2=0.71×A1=2.13 μm (grey regions) at m=10 and optical contrast ∆n=3.42/1 and the regions of the extended PBG (dark regions). (b) The gap map of a CPC obtained for values of m=7 (thin line) and m=10 (dotted line) with extended PBG for m=7 (dark region) and m=10 (grey regions).

Fig. 3.
Fig. 3.

The PBG maps (a) for PC1 with lattice constants A1=0.21 μm (contours drawn by thick line) and PC2 with A2=0.18 μm (contours drawn by thin line) calculated at number of periods m1,2=20, optical contrast (∆n =2.35/1.45) and angles of incidence φ=0° (dash contours) and 85° (light grey regions for TE polarisation and dark grey regions for TM polarisation). (b) The PBG maps for composite PC with wide omni-directional region (crosshatched region) shown in the range of f=0.28-0.4 (the relative width of ∆λ/λ=11.8% for f=0.35).

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