Abstract

The response of the transmission spectrum of cascaded long period gratings (LPGs) to the deposition of nanostructured coatings by use of the Langmuir–Blodgett technique is investigated. The phase of the interference fringes within the LPGs’ attenuation bands is shown to be highly sensitive to the optical thickness of the coating, for thicknesses of the order of 100nm.

© 2005 Optical Society of America

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  1. S. W. James and R. P. Tatam, Meas. Sci. Technol. 14, R49 (2003).
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  2. V. Bhatia, Opt. Express 4, 457 (1999).
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  4. O. Duhem, J. F. Henninot, and M. Douay, Opt. Commun. 180, 225 (2000).
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  5. Y. G. Han, B. H. Lee, W. T. Han, U. C. Paek, and Y. Chung, Meas. Sci. Technol. 12, 778 (2001).
    [CrossRef]
  6. M. P. DeLisa, Z. Zhang, M. Shiloach, S. Pilevar, C. C. Davis, J. S. Sirkis, and W. Bentley, Anal. Chem. 72, 2895 (2000).
    [CrossRef] [PubMed]
  7. S. W. James, N. D. Rees, G. J. Ashwell, and R. P. Tatam, Opt. Lett. 9, 686 (2002).
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    [CrossRef]
  9. T. Erdogan, J. Opt. Soc. Am. A 14, 1760 (1997).
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  11. V. Bhatia, D. K. Campbell, D. Sherr, T. G. D’Alberto, N. A. Zabaronick, G. A. Ten Eyck, K. A. Murphy, and R. O. Claus, Opt. Eng. 36, 1872 (1997).
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    [CrossRef]

2004 (1)

M. Achaerandio, F. Arregui, I. Matias, and R. Claus, Proc. SPIE 5502, 300 (2004).
[CrossRef]

2003 (1)

S. W. James and R. P. Tatam, Meas. Sci. Technol. 14, R49 (2003).
[CrossRef]

2002 (1)

S. W. James, N. D. Rees, G. J. Ashwell, and R. P. Tatam, Opt. Lett. 9, 686 (2002).

2001 (2)

Y. G. Han, B. H. Lee, W. T. Han, U. C. Paek, and Y. Chung, Meas. Sci. Technol. 12, 778 (2001).
[CrossRef]

B. H. Lee, Y.-J. Kim, Y. Chung, W.-T. Han, and U.-C. Paek, Fiber Integr. Opt. 20, 443 (2001).
[CrossRef]

2000 (3)

M. P. DeLisa, Z. Zhang, M. Shiloach, S. Pilevar, C. C. Davis, J. S. Sirkis, and W. Bentley, Anal. Chem. 72, 2895 (2000).
[CrossRef] [PubMed]

O. Duhem, J. F. Henninot, and M. Douay, Opt. Commun. 180, 225 (2000).
[CrossRef]

T. Erdogan, J. Opt. Soc. Am. A 17, U3 (2000).
[CrossRef]

1999 (2)

1998 (2)

1997 (2)

T. Erdogan, J. Opt. Soc. Am. A 14, 1760 (1997).
[CrossRef]

V. Bhatia, D. K. Campbell, D. Sherr, T. G. D’Alberto, N. A. Zabaronick, G. A. Ten Eyck, K. A. Murphy, and R. O. Claus, Opt. Eng. 36, 1872 (1997).
[CrossRef]

Achaerandio, M.

M. Achaerandio, F. Arregui, I. Matias, and R. Claus, Proc. SPIE 5502, 300 (2004).
[CrossRef]

Arregui, F.

M. Achaerandio, F. Arregui, I. Matias, and R. Claus, Proc. SPIE 5502, 300 (2004).
[CrossRef]

Ashwell, G. J.

S. W. James, N. D. Rees, G. J. Ashwell, and R. P. Tatam, Opt. Lett. 9, 686 (2002).

D. Flannery, S. W. James, R. P. Tatam, and G. J. Ashwell, Appl. Opt. 38, 7370 (1999).
[CrossRef]

Bentley, W.

M. P. DeLisa, Z. Zhang, M. Shiloach, S. Pilevar, C. C. Davis, J. S. Sirkis, and W. Bentley, Anal. Chem. 72, 2895 (2000).
[CrossRef] [PubMed]

Bhatia, V.

V. Bhatia, Opt. Express 4, 457 (1999).
[CrossRef] [PubMed]

V. Bhatia, D. K. Campbell, D. Sherr, T. G. D’Alberto, N. A. Zabaronick, G. A. Ten Eyck, K. A. Murphy, and R. O. Claus, Opt. Eng. 36, 1872 (1997).
[CrossRef]

Bucholtz, F.

Campbell, D. K.

V. Bhatia, D. K. Campbell, D. Sherr, T. G. D’Alberto, N. A. Zabaronick, G. A. Ten Eyck, K. A. Murphy, and R. O. Claus, Opt. Eng. 36, 1872 (1997).
[CrossRef]

Chung, Y.

B. H. Lee, Y.-J. Kim, Y. Chung, W.-T. Han, and U.-C. Paek, Fiber Integr. Opt. 20, 443 (2001).
[CrossRef]

Y. G. Han, B. H. Lee, W. T. Han, U. C. Paek, and Y. Chung, Meas. Sci. Technol. 12, 778 (2001).
[CrossRef]

Claus, R.

M. Achaerandio, F. Arregui, I. Matias, and R. Claus, Proc. SPIE 5502, 300 (2004).
[CrossRef]

Claus, R. O.

V. Bhatia, D. K. Campbell, D. Sherr, T. G. D’Alberto, N. A. Zabaronick, G. A. Ten Eyck, K. A. Murphy, and R. O. Claus, Opt. Eng. 36, 1872 (1997).
[CrossRef]

D’Alberto, T. G.

V. Bhatia, D. K. Campbell, D. Sherr, T. G. D’Alberto, N. A. Zabaronick, G. A. Ten Eyck, K. A. Murphy, and R. O. Claus, Opt. Eng. 36, 1872 (1997).
[CrossRef]

Davis, C. C.

M. P. DeLisa, Z. Zhang, M. Shiloach, S. Pilevar, C. C. Davis, J. S. Sirkis, and W. Bentley, Anal. Chem. 72, 2895 (2000).
[CrossRef] [PubMed]

DeLisa, M. P.

M. P. DeLisa, Z. Zhang, M. Shiloach, S. Pilevar, C. C. Davis, J. S. Sirkis, and W. Bentley, Anal. Chem. 72, 2895 (2000).
[CrossRef] [PubMed]

Douay, M.

O. Duhem, J. F. Henninot, and M. Douay, Opt. Commun. 180, 225 (2000).
[CrossRef]

Duhem, O.

O. Duhem, J. F. Henninot, and M. Douay, Opt. Commun. 180, 225 (2000).
[CrossRef]

Erdogan, T.

T. Erdogan, J. Opt. Soc. Am. A 17, U3 (2000).
[CrossRef]

T. Erdogan, J. Opt. Soc. Am. A 14, 1760 (1997).
[CrossRef]

Flannery, D.

Han, W. T.

Y. G. Han, B. H. Lee, W. T. Han, U. C. Paek, and Y. Chung, Meas. Sci. Technol. 12, 778 (2001).
[CrossRef]

Han, W.-T.

B. H. Lee, Y.-J. Kim, Y. Chung, W.-T. Han, and U.-C. Paek, Fiber Integr. Opt. 20, 443 (2001).
[CrossRef]

Han, Y. G.

Y. G. Han, B. H. Lee, W. T. Han, U. C. Paek, and Y. Chung, Meas. Sci. Technol. 12, 778 (2001).
[CrossRef]

Henninot, J. F.

O. Duhem, J. F. Henninot, and M. Douay, Opt. Commun. 180, 225 (2000).
[CrossRef]

James, S. W.

S. W. James and R. P. Tatam, Meas. Sci. Technol. 14, R49 (2003).
[CrossRef]

S. W. James, N. D. Rees, G. J. Ashwell, and R. P. Tatam, Opt. Lett. 9, 686 (2002).

D. Flannery, S. W. James, R. P. Tatam, and G. J. Ashwell, Appl. Opt. 38, 7370 (1999).
[CrossRef]

Kersey, A. D.

Kim, Y.-J.

B. H. Lee, Y.-J. Kim, Y. Chung, W.-T. Han, and U.-C. Paek, Fiber Integr. Opt. 20, 443 (2001).
[CrossRef]

Lee, B. H.

B. H. Lee, Y.-J. Kim, Y. Chung, W.-T. Han, and U.-C. Paek, Fiber Integr. Opt. 20, 443 (2001).
[CrossRef]

Y. G. Han, B. H. Lee, W. T. Han, U. C. Paek, and Y. Chung, Meas. Sci. Technol. 12, 778 (2001).
[CrossRef]

B. H. Lee and J. Nishii, Opt. Lett. 23, 1624 (1998).
[CrossRef]

Matias, I.

M. Achaerandio, F. Arregui, I. Matias, and R. Claus, Proc. SPIE 5502, 300 (2004).
[CrossRef]

Murphy, K. A.

V. Bhatia, D. K. Campbell, D. Sherr, T. G. D’Alberto, N. A. Zabaronick, G. A. Ten Eyck, K. A. Murphy, and R. O. Claus, Opt. Eng. 36, 1872 (1997).
[CrossRef]

Nishii, J.

Paek, U. C.

Y. G. Han, B. H. Lee, W. T. Han, U. C. Paek, and Y. Chung, Meas. Sci. Technol. 12, 778 (2001).
[CrossRef]

Paek, U.-C.

B. H. Lee, Y.-J. Kim, Y. Chung, W.-T. Han, and U.-C. Paek, Fiber Integr. Opt. 20, 443 (2001).
[CrossRef]

Patrick, H. J.

Pilevar, S.

M. P. DeLisa, Z. Zhang, M. Shiloach, S. Pilevar, C. C. Davis, J. S. Sirkis, and W. Bentley, Anal. Chem. 72, 2895 (2000).
[CrossRef] [PubMed]

Rees, N. D.

S. W. James, N. D. Rees, G. J. Ashwell, and R. P. Tatam, Opt. Lett. 9, 686 (2002).

Sherr, D.

V. Bhatia, D. K. Campbell, D. Sherr, T. G. D’Alberto, N. A. Zabaronick, G. A. Ten Eyck, K. A. Murphy, and R. O. Claus, Opt. Eng. 36, 1872 (1997).
[CrossRef]

Shiloach, M.

M. P. DeLisa, Z. Zhang, M. Shiloach, S. Pilevar, C. C. Davis, J. S. Sirkis, and W. Bentley, Anal. Chem. 72, 2895 (2000).
[CrossRef] [PubMed]

Sirkis, J. S.

M. P. DeLisa, Z. Zhang, M. Shiloach, S. Pilevar, C. C. Davis, J. S. Sirkis, and W. Bentley, Anal. Chem. 72, 2895 (2000).
[CrossRef] [PubMed]

Tatam, R. P.

S. W. James and R. P. Tatam, Meas. Sci. Technol. 14, R49 (2003).
[CrossRef]

S. W. James, N. D. Rees, G. J. Ashwell, and R. P. Tatam, Opt. Lett. 9, 686 (2002).

D. Flannery, S. W. James, R. P. Tatam, and G. J. Ashwell, Appl. Opt. 38, 7370 (1999).
[CrossRef]

Ten Eyck, G. A.

V. Bhatia, D. K. Campbell, D. Sherr, T. G. D’Alberto, N. A. Zabaronick, G. A. Ten Eyck, K. A. Murphy, and R. O. Claus, Opt. Eng. 36, 1872 (1997).
[CrossRef]

Zabaronick, N. A.

V. Bhatia, D. K. Campbell, D. Sherr, T. G. D’Alberto, N. A. Zabaronick, G. A. Ten Eyck, K. A. Murphy, and R. O. Claus, Opt. Eng. 36, 1872 (1997).
[CrossRef]

Zhang, Z.

M. P. DeLisa, Z. Zhang, M. Shiloach, S. Pilevar, C. C. Davis, J. S. Sirkis, and W. Bentley, Anal. Chem. 72, 2895 (2000).
[CrossRef] [PubMed]

Anal. Chem. (1)

M. P. DeLisa, Z. Zhang, M. Shiloach, S. Pilevar, C. C. Davis, J. S. Sirkis, and W. Bentley, Anal. Chem. 72, 2895 (2000).
[CrossRef] [PubMed]

Appl. Opt. (1)

Fiber Integr. Opt. (1)

B. H. Lee, Y.-J. Kim, Y. Chung, W.-T. Han, and U.-C. Paek, Fiber Integr. Opt. 20, 443 (2001).
[CrossRef]

J. Lightwave Technol. (1)

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

T. Erdogan, J. Opt. Soc. Am. A 14, 1760 (1997).
[CrossRef]

T. Erdogan, J. Opt. Soc. Am. A 17, U3 (2000).
[CrossRef]

Meas. Sci. Technol. (2)

S. W. James and R. P. Tatam, Meas. Sci. Technol. 14, R49 (2003).
[CrossRef]

Y. G. Han, B. H. Lee, W. T. Han, U. C. Paek, and Y. Chung, Meas. Sci. Technol. 12, 778 (2001).
[CrossRef]

Opt. Commun. (1)

O. Duhem, J. F. Henninot, and M. Douay, Opt. Commun. 180, 225 (2000).
[CrossRef]

Opt. Eng. (1)

V. Bhatia, D. K. Campbell, D. Sherr, T. G. D’Alberto, N. A. Zabaronick, G. A. Ten Eyck, K. A. Murphy, and R. O. Claus, Opt. Eng. 36, 1872 (1997).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

B. H. Lee and J. Nishii, Opt. Lett. 23, 1624 (1998).
[CrossRef]

S. W. James, N. D. Rees, G. J. Ashwell, and R. P. Tatam, Opt. Lett. 9, 686 (2002).

Proc. SPIE (1)

M. Achaerandio, F. Arregui, I. Matias, and R. Claus, Proc. SPIE 5502, 300 (2004).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

(a) Operation of cascaded LPGs as a Mach–Zehnder interferometer, (b) interference fringes in the attenuation band.

Fig. 2
Fig. 2

LB deposition on cascaded LPGs (a) over a section of fiber separating the LPGs and (b) over the entire length of the device.

Fig. 3
Fig. 3

(a) Response of Mach–Zehnder interference fringes to increases in overlay thickness deposited on a section of fiber separating the cascaded LPGs. The gray scale represents the transmission, with white corresponding to 100%. (b) ×, ▴, ∎, and ◆ trace the minima of the interference fringes; solid curves show the visibility of the fringes as a function of film thickness.

Fig. 4
Fig. 4

(a) Response of Mach–Zehnder interference fringes to increases in overlay thickness deposited over the entire length of the cascaded LPGs. The gray scale represents the transmission, with white corresponding to 100%. (b) ×, ▴, ∎, and ◆ trace the minima of the interference fringes; the solid curves show the visibility of the fringes as a function of film thickness.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

λ i = [ n eff ( λ ) n i cl ( λ ) ] Λ ,
I = I core + α I cladd i 2 α I core I cladd i cos θ ,
θ = Φ + ( β core β clad i ) L ,
Φ = 2 tan 1 ( Δ β 2 s tan s d ) Δ β d ,
Δ β = β core β clad i 2 π λ ,

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