Abstract

We present a high-efficiency reflective lamellar grating geometry, based on a two-dimensional photonic bandgap structure, that we predict will provide significantly improved resistance to laser-induced damage. Two independent numerical methods are used to compare the performance of this geometry with that of a conventional multilayer dielectric stack.

© 2005 Optical Society of America

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References

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  1. M. D. Perry, R. D. Boyd, J. A. Britten, D. Decker, B. W. Shore, C. Shannon, and E. Shults, Opt. Lett. 20, 940 (1995).
    [CrossRef] [PubMed]
  2. M. Deopura, C. K. Ullal, B. Temelkuran, and Y. Fink, Opt. Lett. 26, 1197 (2001).
    [CrossRef]
  3. B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
    [CrossRef] [PubMed]
  4. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
    [CrossRef] [PubMed]
  5. S. John, Phys. Rev. Lett. 58, 2486 (1987).
    [CrossRef] [PubMed]
  6. S. Rowson, A. Chelnokov, C. Cuisin, and J.-M. Lurtioz, J. Opt. A, Pure Appl. Opt. 1, 483 (1999).
    [CrossRef]
  7. K. S. Yee, IEEE Trans. Antennas Propag. AP-14, 302 (1966).
    [CrossRef]
  8. Z. S. Sacks, D. M. Kingsland, R. Lee, and J. F. Lee, IEEE Trans. Antennas Propag. 43, 1460 (1995).
    [CrossRef]
  9. C. B. Burckhardt, J. Opt. Soc. Am. 56, 1502 (1966).
    [CrossRef]
  10. R. Thielsch, A. Gatto, J. Heber, and N. Kaiser, Thin Solid Films 410, 86–93 (2002).
    [CrossRef]
  11. D. Reicher, P. Black, and K. Jungling, Appl. Opt. 39, 1589 (2000).
    [CrossRef]

2002 (1)

R. Thielsch, A. Gatto, J. Heber, and N. Kaiser, Thin Solid Films 410, 86–93 (2002).
[CrossRef]

2001 (1)

2000 (1)

1999 (1)

S. Rowson, A. Chelnokov, C. Cuisin, and J.-M. Lurtioz, J. Opt. A, Pure Appl. Opt. 1, 483 (1999).
[CrossRef]

1995 (3)

Z. S. Sacks, D. M. Kingsland, R. Lee, and J. F. Lee, IEEE Trans. Antennas Propag. 43, 1460 (1995).
[CrossRef]

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

M. D. Perry, R. D. Boyd, J. A. Britten, D. Decker, B. W. Shore, C. Shannon, and E. Shults, Opt. Lett. 20, 940 (1995).
[CrossRef] [PubMed]

1987 (2)

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

1966 (2)

C. B. Burckhardt, J. Opt. Soc. Am. 56, 1502 (1966).
[CrossRef]

K. S. Yee, IEEE Trans. Antennas Propag. AP-14, 302 (1966).
[CrossRef]

Black, P.

Boyd, R. D.

Britten, J. A.

Burckhardt, C. B.

Chelnokov, A.

S. Rowson, A. Chelnokov, C. Cuisin, and J.-M. Lurtioz, J. Opt. A, Pure Appl. Opt. 1, 483 (1999).
[CrossRef]

Cuisin, C.

S. Rowson, A. Chelnokov, C. Cuisin, and J.-M. Lurtioz, J. Opt. A, Pure Appl. Opt. 1, 483 (1999).
[CrossRef]

Decker, D.

Deopura, M.

Feit, M. D.

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

Fink, Y.

Gatto, A.

R. Thielsch, A. Gatto, J. Heber, and N. Kaiser, Thin Solid Films 410, 86–93 (2002).
[CrossRef]

Heber, J.

R. Thielsch, A. Gatto, J. Heber, and N. Kaiser, Thin Solid Films 410, 86–93 (2002).
[CrossRef]

John, S.

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

Jungling, K.

Kaiser, N.

R. Thielsch, A. Gatto, J. Heber, and N. Kaiser, Thin Solid Films 410, 86–93 (2002).
[CrossRef]

Kingsland, D. M.

Z. S. Sacks, D. M. Kingsland, R. Lee, and J. F. Lee, IEEE Trans. Antennas Propag. 43, 1460 (1995).
[CrossRef]

Lee, J. F.

Z. S. Sacks, D. M. Kingsland, R. Lee, and J. F. Lee, IEEE Trans. Antennas Propag. 43, 1460 (1995).
[CrossRef]

Lee, R.

Z. S. Sacks, D. M. Kingsland, R. Lee, and J. F. Lee, IEEE Trans. Antennas Propag. 43, 1460 (1995).
[CrossRef]

Lurtioz, J.-M.

S. Rowson, A. Chelnokov, C. Cuisin, and J.-M. Lurtioz, J. Opt. A, Pure Appl. Opt. 1, 483 (1999).
[CrossRef]

Perry, M. D.

M. D. Perry, R. D. Boyd, J. A. Britten, D. Decker, B. W. Shore, C. Shannon, and E. Shults, Opt. Lett. 20, 940 (1995).
[CrossRef] [PubMed]

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

Reicher, D.

Rowson, S.

S. Rowson, A. Chelnokov, C. Cuisin, and J.-M. Lurtioz, J. Opt. A, Pure Appl. Opt. 1, 483 (1999).
[CrossRef]

Rubenchik, A. M.

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

Sacks, Z. S.

Z. S. Sacks, D. M. Kingsland, R. Lee, and J. F. Lee, IEEE Trans. Antennas Propag. 43, 1460 (1995).
[CrossRef]

Shannon, C.

Shore, B. W.

M. D. Perry, R. D. Boyd, J. A. Britten, D. Decker, B. W. Shore, C. Shannon, and E. Shults, Opt. Lett. 20, 940 (1995).
[CrossRef] [PubMed]

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

Shults, E.

Stuart, B. C.

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

Temelkuran, B.

Thielsch, R.

R. Thielsch, A. Gatto, J. Heber, and N. Kaiser, Thin Solid Films 410, 86–93 (2002).
[CrossRef]

Ullal, C. K.

Yablonovitch, E.

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

Yee, K. S.

K. S. Yee, IEEE Trans. Antennas Propag. AP-14, 302 (1966).
[CrossRef]

Appl. Opt. (1)

IEEE Trans. Antennas Propag. (2)

K. S. Yee, IEEE Trans. Antennas Propag. AP-14, 302 (1966).
[CrossRef]

Z. S. Sacks, D. M. Kingsland, R. Lee, and J. F. Lee, IEEE Trans. Antennas Propag. 43, 1460 (1995).
[CrossRef]

J. Opt. A, Pure Appl. Opt. (1)

S. Rowson, A. Chelnokov, C. Cuisin, and J.-M. Lurtioz, J. Opt. A, Pure Appl. Opt. 1, 483 (1999).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Lett. (2)

Phys. Rev. Lett. (3)

B. C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. Lett. 74, 2248 (1995).
[CrossRef] [PubMed]

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

Thin Solid Films (1)

R. Thielsch, A. Gatto, J. Heber, and N. Kaiser, Thin Solid Films 410, 86–93 (2002).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

(a) Multilayer dielectric stack and (b) PBG reflector geometries. White denotes the HfO 2 ; shaded areas, the SiO 2 layers.

Fig. 2
Fig. 2

Variation in reflectivity of a multilayer dielectric stack and 2D PBG reflector geometries: top, without a dielectric grating; bottom, with a dielectric grating.

Fig. 3
Fig. 3

Peak electric ( E z ) field distributions in (a) multilayer dielectric stack and (b) PBG reflector designs.

Fig. 4
Fig. 4

Cross sections through the center and boundaries of the first HfO 2 layer (shown in Fig. 3 by offset lines).

Equations (4)

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I p + R p = m = 1 [ A m + A m exp ( i α m z ) ] B p , m ,
r p ( I p R p ) = ρ m = 1 α m [ A m A m exp ( i α m z ) ] B p , m ,
T p = m = 1 { A m exp [ i α m ( h z ) ] + A m } B p , m ,
t p T p = τ m = 1 α m { A m exp [ i α m ( h z ) ] A m } B p , m .

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