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References

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  1. E. Snitzer, J. Opt. Soc. Amer. 51, 491 (1961).
    [CrossRef]
  2. E. R. Schineller, NASA Contractor Report CR-860 (1967).
  3. H. Poritsky, Physics 5, 406 (1934).
    [CrossRef]
  4. A. E. H. Love, Mathematical Theory of Elasticity (Dover, New York, 1944), p. 144.
  5. M. Born, E. Wolf, Principles of Optics (Macmillan, New York, 1964), p. 704.
  6. D. E. Gray, ed., Amer. Ins. Phys. Handbook (McGraw-Hill, New York, 1957).
  7. E. B. Shand, Glass Eng. Handbook (McGraw-Hill, New York, 1958).
  8. E. G. Coker, L. N. G. Filon, Treatise on Photo-Elasticity (University Press, Cambridge, 1931), p. 215.

1961 (1)

E. Snitzer, J. Opt. Soc. Amer. 51, 491 (1961).
[CrossRef]

1934 (1)

H. Poritsky, Physics 5, 406 (1934).
[CrossRef]

Born, M.

M. Born, E. Wolf, Principles of Optics (Macmillan, New York, 1964), p. 704.

Coker, E. G.

E. G. Coker, L. N. G. Filon, Treatise on Photo-Elasticity (University Press, Cambridge, 1931), p. 215.

Filon, L. N. G.

E. G. Coker, L. N. G. Filon, Treatise on Photo-Elasticity (University Press, Cambridge, 1931), p. 215.

Love, A. E. H.

A. E. H. Love, Mathematical Theory of Elasticity (Dover, New York, 1944), p. 144.

Poritsky, H.

H. Poritsky, Physics 5, 406 (1934).
[CrossRef]

Schineller, E. R.

E. R. Schineller, NASA Contractor Report CR-860 (1967).

Shand, E. B.

E. B. Shand, Glass Eng. Handbook (McGraw-Hill, New York, 1958).

Snitzer, E.

E. Snitzer, J. Opt. Soc. Amer. 51, 491 (1961).
[CrossRef]

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Macmillan, New York, 1964), p. 704.

J. Opt. Soc. Amer. (1)

E. Snitzer, J. Opt. Soc. Amer. 51, 491 (1961).
[CrossRef]

Physics (1)

H. Poritsky, Physics 5, 406 (1934).
[CrossRef]

Other (6)

A. E. H. Love, Mathematical Theory of Elasticity (Dover, New York, 1944), p. 144.

M. Born, E. Wolf, Principles of Optics (Macmillan, New York, 1964), p. 704.

D. E. Gray, ed., Amer. Ins. Phys. Handbook (McGraw-Hill, New York, 1957).

E. B. Shand, Glass Eng. Handbook (McGraw-Hill, New York, 1958).

E. G. Coker, L. N. G. Filon, Treatise on Photo-Elasticity (University Press, Cambridge, 1931), p. 215.

E. R. Schineller, NASA Contractor Report CR-860 (1967).

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Figures (1)

Fig. 1
Fig. 1

Stresses in clad fiber (in arbitrary units) for b = 3a.

Equations (26)

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( 2 π a / λ ) ( n 1 2 - n 2 2 ) 1 2 2.405 ,
σ r r = A - B / r 2
σ θ θ = A + B / r 2
σ z z = C
σ r θ = σ θ z = σ z r = 0.
d r = ( 1 / E ) [ ( 1 - σ ) A r - σ C r + ( 1 + σ ) B / r ] + α Δ T r
d θ = 0
d z = ( 1 / E ) [ - 2 σ A z + C z ] + α Δ T z ,
σ r r ( 1 ) ( a ) = σ r r ( 2 ) ( a )
σ r r ( 2 ) ( b ) = 0
0 a σ z z ( 1 ) r d r + a b σ z z ( 2 ) r d r = 0
d z ( 1 ) = d z ( 2 )
d r ( 1 ) ( a ) = d r ( 2 ) ( a )
A 1 = A 2 ( 1 - ζ 2 )
B 2 = A 2 b 2
C 1 = C 2 ( 1 - ζ 2 ) ,
A 2 = ( 1 / D ) [ E 1 ( 1 + σ 2 ) + E 2 ( 1 + σ 1 ) ( ζ 2 - 1 ) ] · E 1 E 2 ( α 2 - α 1 ) Δ T
C 2 = ( 1 / D ) [ E 1 ( 1 + σ 2 ) ( ζ 2 + 1 ) + E 2 ( 1 + σ 1 ) ( ζ 2 - 1 ) ] · E 1 E 2 ( α 2 - α 1 ) Δ T ,
D = | 2 [ E 1 σ 2 + E 2 σ 1 ( ζ 2 - 1 ) ] [ E 1 + E 2 ( ζ 2 - 1 ) ] { E 1 [ ( 1 - σ 2 ) + ( 1 + σ 2 ) ζ 2 ] + E 2 ( 1 - σ 1 ) ( ζ 2 - 1 ) } [ E 1 σ 2 + E 2 σ 1 ( ζ 2 - 1 ) ] | .
n r - n = p σ r r + q ( σ θ θ + σ z z )
n θ - n = p σ θ θ + q ( σ z z + σ r r )
n z - n = p σ z z + q ( σ r r + σ θ θ ) ,
Δ n r = n ( ν - 1 ) - 2 q [ E / ( 1 - σ ) ] α Δ T ( γ - 1 )
Δ n θ = Δ n z = n ( ν - 1 ) - ( p + q ) × [ E / ( 1 - σ ) ] α Δ T ( γ - 1 ) ,
M r = | 2 q n E 1 - σ α Δ T γ - 1 ν - 1 | .
M r = 1.2 × 10 - 3 ( γ - 1 ) / ( ν - 1 ) .

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