Abstract

When light is coupled into or out of an optical fiber through a normally cut end face, reflection may set up disturbing standing waves. They can be avoided by a slight tilt (≃ 12°) of the end face of the fiber and a corresponding inclination of the fiber axis. Residual reflections of −58 to −68 dB are obtained.

© 1980 Optical Society of America

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References

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  1. V. Vali, R. W. Shorthill, Appl. Opt. 16, 290 (1977).
    [CrossRef] [PubMed]
  2. J. A. Bucaro, T. R. Hickman, Appl. Opt. 18, 938 (1979);G. B. Hocker, Appl. Opt. 18, 1445 (1979).
    [CrossRef] [PubMed]
  3. S. C. Rashleigh, R. Ulrich, Appl. Phys. Lett. 34, 768 (1979).
    [CrossRef]
  4. S. C. Lin, T. G. Giallorenzi, Appl. Opt. 18, 915 (1979).
    [CrossRef] [PubMed]
  5. H. G. Unger, Planar Optical Waveguides and Fibres (Clarendon, Oxford, 1977).
  6. H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, Proc. SPIE 157, 138 (1978).
    [CrossRef]

1979 (3)

1978 (1)

H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, Proc. SPIE 157, 138 (1978).
[CrossRef]

1977 (1)

Arditty, H.

H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, Proc. SPIE 157, 138 (1978).
[CrossRef]

Bucaro, J. A.

Chodorow, M.

H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, Proc. SPIE 157, 138 (1978).
[CrossRef]

Giallorenzi, T. G.

Hickman, T. R.

Kompfner, R.

H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, Proc. SPIE 157, 138 (1978).
[CrossRef]

Lin, S. C.

Rashleigh, S. C.

S. C. Rashleigh, R. Ulrich, Appl. Phys. Lett. 34, 768 (1979).
[CrossRef]

Shaw, H. J.

H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, Proc. SPIE 157, 138 (1978).
[CrossRef]

Shorthill, R. W.

Ulrich, R.

S. C. Rashleigh, R. Ulrich, Appl. Phys. Lett. 34, 768 (1979).
[CrossRef]

Unger, H. G.

H. G. Unger, Planar Optical Waveguides and Fibres (Clarendon, Oxford, 1977).

Vali, V.

Appl. Opt. (3)

Appl. Phys. Lett. (1)

S. C. Rashleigh, R. Ulrich, Appl. Phys. Lett. 34, 768 (1979).
[CrossRef]

Proc. SPIE (1)

H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, Proc. SPIE 157, 138 (1978).
[CrossRef]

Other (1)

H. G. Unger, Planar Optical Waveguides and Fibres (Clarendon, Oxford, 1977).

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Figures (2)

Fig. 1
Fig. 1

Methods of reducing reflection from a fiber end: (a) AR coating; (b) immersion cell; (c) tilted end-face.

Fig. 2
Fig. 2

Calculated residual reflections from a tilted end face: …, one example of the angular dependence of output reflection |ro ()|2; —, upper limit of all curves |ro ()|2 for fibers of various V numbers 1.6 ≤ V ≤ 2.4;- - - -, reflectivity |ri()|2 of the input case.

Equations (6)

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E r ( ξ , η ) = r E ( ξ , η ) exp ( 4 π i n ξ / λ ) .
r ( ) = C E r ( ξ , η ) E * ( ξ , η ) d ξ d η ,
r ( ) = r n C | E ( ξ , η ) | 2 cos ( 4 π n ξ / λ ) d ξ d η
= 2 π r n C | E ( ρ ) | 2 J 0 ( 4 π n ρ / λ ) ρ d ρ .
| r i ( ) | 2 = | r n | 2 exp [ ( 2 π n w 0 / λ ) 2 ] .
| E ( ρ ) | = { J 0 ( u ρ / a ) / J 0 ( u ) ρ a K 0 ( υ ρ / a ) / K 0 ( υ ) ρ a .

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