Abstract

We report the optimal design for hollow fiber inner-coated with metallic and multidielectric layers by using ray-optics theory. Transmission characteristics of the multilayer hollow fiber are more dependent on the film surface roughness in the IR region. Comparisons of fibers with smooth and rough films are made and discussed in detail. The optimal design for film thickness, inner radius, and the number of layers and refractive indices is presented. The calculation results are important for structure design, material selection, and fabrication when considering imperfections in film-coating techniques. Multilayer fibers are fabricated based on the calculation and experimental results agree with the theoretical ones.

© 2011 Optical Society of America

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References

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2011 (1)

B. S. Sun, X. Zeng, K. Iwai, M. Miyagi, N. Chi, and Y. W. Shi, Opt. Fiber Technol. (2011).

2009 (2)

2008 (1)

M. Ben-David, M. Catalogna, J. A. Harrington, V. Krishnan, and I. Gannot, Opt. Eng. 47, 045008 (2008).
[CrossRef]

2007 (2)

2005 (2)

2004 (1)

2003 (1)

2002 (1)

2000 (1)

J. A. Harrington, Fiber Integr. Opt. 19, 211 (2000).
[CrossRef]

1998 (1)

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. Joannopoulos, and E. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

1997 (1)

1989 (1)

1984 (1)

M. Miyagi and S. Kawakami, J. Lightwave Technol. 2, 116 (1984).
[CrossRef]

1963 (1)

H. E. Bennet, J. Opt. Soc. Am. A 53, 1389 (1963).
[CrossRef]

Ben-David, M.

M. Ben-David, M. Catalogna, J. A. Harrington, V. Krishnan, and I. Gannot, Opt. Eng. 47, 045008 (2008).
[CrossRef]

Bennet, H. E.

H. E. Bennet, J. Opt. Soc. Am. A 53, 1389 (1963).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics [M], 7th ed. (Cambridge University, 1999).

Catalogna, M.

M. Ben-David, M. Catalogna, J. A. Harrington, V. Krishnan, and I. Gannot, Opt. Eng. 47, 045008 (2008).
[CrossRef]

Chen, C.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. Joannopoulos, and E. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Chi, N.

B. S. Sun, X. Zeng, K. Iwai, M. Miyagi, N. Chi, and Y. W. Shi, Opt. Fiber Technol. (2011).

Croitoru, N.

David, M. Ben

Fan, S.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. Joannopoulos, and E. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Fink, Y.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. Joannopoulos, and E. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Gannot, I.

M. Ben-David, M. Catalogna, J. A. Harrington, V. Krishnan, and I. Gannot, Opt. Eng. 47, 045008 (2008).
[CrossRef]

N. Croitoru, A. Inberg, M. Ben David, and I. Gannot, Opt. Express 12, 1341 (2004).
[CrossRef] [PubMed]

George, R.

Gopal, V.

Harrington, J. A.

Inberg, A.

Iwai, K.

B. S. Sun, X. Zeng, K. Iwai, M. Miyagi, N. Chi, and Y. W. Shi, Opt. Fiber Technol. (2011).

X. Lin, Y. W. Shi, K. R. Sui, X. S. Zhu, K. Iwai, and M. Miyagi, Appl. Opt. 48, 6765 (2009).
[CrossRef] [PubMed]

Joannopoulos, J.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. Joannopoulos, and E. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Karagiri, T.

Kawakami, S.

M. Miyagi and S. Kawakami, J. Lightwave Technol. 2, 116 (1984).
[CrossRef]

Kim, S. S.

A. Wilk, S. S. Kim, and B. Mizaikoff, Anal. Bioanal. Chem. 395, 1661 (2009).
[CrossRef] [PubMed]

Kino, S.

Komachi, Y.

Krishnan, V.

M. Ben-David, M. Catalogna, J. A. Harrington, V. Krishnan, and I. Gannot, Opt. Eng. 47, 045008 (2008).
[CrossRef]

Lin, X.

Matsuura, Y.

Michel, J.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. Joannopoulos, and E. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Miyagi, M.

Mizaikoff, B.

A. Wilk, S. S. Kim, and B. Mizaikoff, Anal. Bioanal. Chem. 395, 1661 (2009).
[CrossRef] [PubMed]

Noguchi, H.

Saito, M.

Sato, H.

Shi, Y. W.

B. S. Sun, X. Zeng, K. Iwai, M. Miyagi, N. Chi, and Y. W. Shi, Opt. Fiber Technol. (2011).

X. Lin, Y. W. Shi, K. R. Sui, X. S. Zhu, K. Iwai, and M. Miyagi, Appl. Opt. 48, 6765 (2009).
[CrossRef] [PubMed]

Sui, K. R.

Sun, B. S.

B. S. Sun, X. Zeng, K. Iwai, M. Miyagi, N. Chi, and Y. W. Shi, Opt. Fiber Technol. (2011).

Tashiro, H.

Thomas, E.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. Joannopoulos, and E. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Tsuchiuchi, A.

Wilk, A.

A. Wilk, S. S. Kim, and B. Mizaikoff, Anal. Bioanal. Chem. 395, 1661 (2009).
[CrossRef] [PubMed]

Winn, J. N.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. Joannopoulos, and E. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Wolf, E.

M. Born and E. Wolf, Principles of Optics [M], 7th ed. (Cambridge University, 1999).

Zeng, X.

B. S. Sun, X. Zeng, K. Iwai, M. Miyagi, N. Chi, and Y. W. Shi, Opt. Fiber Technol. (2011).

Zhu, X. S.

Anal. Bioanal. Chem. (1)

A. Wilk, S. S. Kim, and B. Mizaikoff, Anal. Bioanal. Chem. 395, 1661 (2009).
[CrossRef] [PubMed]

Appl. Opt. (4)

Appl. Spectrosc. (1)

Fiber Integr. Opt. (1)

J. A. Harrington, Fiber Integr. Opt. 19, 211 (2000).
[CrossRef]

J. Lightwave Technol. (1)

M. Miyagi and S. Kawakami, J. Lightwave Technol. 2, 116 (1984).
[CrossRef]

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

Opt. Eng. (1)

M. Ben-David, M. Catalogna, J. A. Harrington, V. Krishnan, and I. Gannot, Opt. Eng. 47, 045008 (2008).
[CrossRef]

Opt. Express (2)

Opt. Fiber Technol. (1)

B. S. Sun, X. Zeng, K. Iwai, M. Miyagi, N. Chi, and Y. W. Shi, Opt. Fiber Technol. (2011).

Opt. Lett. (1)

Science (1)

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. Joannopoulos, and E. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Other (1)

M. Born and E. Wolf, Principles of Optics [M], 7th ed. (Cambridge University, 1999).

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Figures (6)

Fig. 1
Fig. 1

Transmission loss versus dielectric layer thickness. Inset is the optimum thickness versus film roughness.

Fig. 2
Fig. 2

Transmission loss versus inner radius of the hollow fiber.

Fig. 3
Fig. 3

Transmission loss of Ag / SiO 2 / AgI fiber versus the number of the dielectric layers. Inset is the optimum number of layers versus roughness.

Fig. 4
Fig. 4

Transmission loss versus refractive index of the M L layer. Inset is the optimum refractive index for the M L layer versus roughness.

Fig. 5
Fig. 5

Transmission loss versus refractive index of the M H layer. Inset is the optimum refractive index for the M H layer versus roughness.

Fig. 6
Fig. 6

Loss spectra of multilayer fibers. (a) one layer, (b) two layers, (c) three layers.

Equations (2)

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r = r 0 exp [ 1 2 ( 2 k 0 σ n k cos θ k ) 2 ]
t = t 0 exp { 1 2 [ k 0 σ ( n k cos θ k n k + 1 cos θ k + 1 ) ] 2 } ,

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