Abstract

A practical method for characterizing microstructure fiber lenses in the near field is described. By detecting the optical power of the light reflected by a mirror and coupled back into the single-mode fiber, one can accurately determine the focal point and the working distance of a fiber lens. The approach is relatively simple and easy to implement. The accuracy in determining the focal point and working distance is better than 2%.

© 2006 Optical Society of America

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References

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2005

1995

K. Shiraishi, N. Oyama, K. Matsumura, I. Ohishi, and S. Suga, J. Lightwave Technol. 13, 1736 (1995).
[CrossRef]

1993

C. A. Edwards, H. M. Presby, and C. Dragone, J. Lightwave Technol. 11, 252 (1993).
[CrossRef]

1992

H. M. Presby and C. A. Edwards, Electron. Lett. 28, 582 (1992).
[CrossRef]

1986

1983

1982

G. Eisenstein and D. Vitello, Appl. Opt. 21, 3470 (1982).
[CrossRef] [PubMed]

M. Kawachi, T. Edahiro, and H. Toba, Electron. Lett. 18, 71 (1982).
[CrossRef]

1974

1966

H. Kogelnik and T. Li, Appl. Opt. 5, 1550 (1966).
[CrossRef] [PubMed]

T. S. Chu, Bell Syst. Tech. J. 45, 287 (1966).

Asano, T.

Axelrod, N.

Chu, T. S.

T. S. Chu, Bell Syst. Tech. J. 45, 287 (1966).

Cohen, L. G.

Dekhter, R.

Dragone, C.

C. A. Edwards, H. M. Presby, and C. Dragone, J. Lightwave Technol. 11, 252 (1993).
[CrossRef]

Edahiro, T.

M. Kawachi, T. Edahiro, and H. Toba, Electron. Lett. 18, 71 (1982).
[CrossRef]

Edwards, C. A.

C. A. Edwards, H. M. Presby, and C. Dragone, J. Lightwave Technol. 11, 252 (1993).
[CrossRef]

H. M. Presby and C. A. Edwards, Electron. Lett. 28, 582 (1992).
[CrossRef]

Eisenstein, G.

Fish, G.

Ghafoori-shiraz, H.

Kawachi, M.

M. Kawachi, T. Edahiro, and H. Toba, Electron. Lett. 18, 71 (1982).
[CrossRef]

Kogelnik, H.

Krol, A.

Lewis, A.

Li, T.

Matsumura, K.

K. Shiraishi, N. Oyama, K. Matsumura, I. Ohishi, and S. Suga, J. Lightwave Technol. 13, 1736 (1995).
[CrossRef]

Ohishi, I.

K. Shiraishi, N. Oyama, K. Matsumura, I. Ohishi, and S. Suga, J. Lightwave Technol. 13, 1736 (1995).
[CrossRef]

Oyama, N.

K. Shiraishi, N. Oyama, K. Matsumura, I. Ohishi, and S. Suga, J. Lightwave Technol. 13, 1736 (1995).
[CrossRef]

Presby, H. M.

C. A. Edwards, H. M. Presby, and C. Dragone, J. Lightwave Technol. 11, 252 (1993).
[CrossRef]

H. M. Presby and C. A. Edwards, Electron. Lett. 28, 582 (1992).
[CrossRef]

Schneider, M. V.

Shiraishi, K.

K. Shiraishi, N. Oyama, K. Matsumura, I. Ohishi, and S. Suga, J. Lightwave Technol. 13, 1736 (1995).
[CrossRef]

Suga, S.

K. Shiraishi, N. Oyama, K. Matsumura, I. Ohishi, and S. Suga, J. Lightwave Technol. 13, 1736 (1995).
[CrossRef]

Toba, H.

M. Kawachi, T. Edahiro, and H. Toba, Electron. Lett. 18, 71 (1982).
[CrossRef]

Vitello, D.

Wenke, G.

Yosef, N. B.

Zhu, Y.

Appl. Opt.

Bell Syst. Tech. J.

T. S. Chu, Bell Syst. Tech. J. 45, 287 (1966).

Electron. Lett.

M. Kawachi, T. Edahiro, and H. Toba, Electron. Lett. 18, 71 (1982).
[CrossRef]

H. M. Presby and C. A. Edwards, Electron. Lett. 28, 582 (1992).
[CrossRef]

J. Lightwave Technol.

C. A. Edwards, H. M. Presby, and C. Dragone, J. Lightwave Technol. 11, 252 (1993).
[CrossRef]

K. Shiraishi, N. Oyama, K. Matsumura, I. Ohishi, and S. Suga, J. Lightwave Technol. 13, 1736 (1995).
[CrossRef]

Opt. Lett.

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Figures (4)

Fig. 1
Fig. 1

(a) Schematic diagram of the structure of the fabricated fiber lens and (b) simplified model for analysis.

Fig. 2
Fig. 2

Photograph of the fabricated fiber lens. The circle shows that the central part of the fiber lens has a spherical shape.

Fig. 3
Fig. 3

Measured and calculated optical power coupled back into the SMF. The horizontal axis represents the distance between the principal plane and the mirror.

Fig. 4
Fig. 4

Schematic diagram of the experimental setup.

Equations (8)

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η = ψ r ψ f * d x d y 2 ψ r 2 d x d y ψ f 2 d x d y ,
w 2 ( z ) = w 1 2 [ 1 + ( z z 1 ) 2 ] ,
w 2 2 w 1 2 = l 2 F l 1 F ,
l 2 = F + ( l 1 F ) F 2 ( l 1 F ) 2 + z 1 2 .
w 3 2 w 2 2 = l 3 F 2 l l 2 F ,
l 3 = F + ( 2 l l 2 F ) F 2 ( 2 l l 2 F ) 2 + z 2 2
w 2 = w 3 2 [ 1 + ( l 3 l 1 z 3 ) 2 ] ,
P ( l ) = k w 2 0 w 1 r exp ( r 2 w 2 ) d r ,

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