Abstract

A gradient-index slab lens (2.5–3.4 mm thick) with parabolic-index profiles along the direction of thickness has been fabricated by a molecular stuffing process, and its refractive-index profiles have been evaluated.

© 1985 Optical Society of America

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References

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  1. W. J. Tomlinson, “Applications of GRIN-Rod Lenses in Optical Fiber Communication Systems,” Appl. Opt. 19, 1127 (1980).
    [CrossRef] [PubMed]
  2. J. M. Stagaman, D. T. Moore, “Laser Diode to Fiber Coupling Using Anamorphic Gradient-Index Lenses,” Appl. Opt. 23, 1730 (1984).
    [CrossRef] [PubMed]
  3. P. B. Macedo, T. A. Litovitz, “Method for Producing Optical Waveguide Fibers,” U. S. Patent3,938,974 (1976).
  4. J. H. Simmons, P. K. Mohr, D. C. Tran, P. B. Macedo, T. A. Litovitz, “Optical Properties of Waveguides Made by a Porous Glass Process,” Appl. Opt. 18, 2732 (1979).
    [CrossRef] [PubMed]
  5. J. Crank; “The Mathematics of Diffusion (Clarendon, Oxford, 1975), p. 44.
  6. T. Yamagishi, K. Fujii, I. Kitano, “Fabrication of a New Gradient-Index Rod Lens with High Performance,” J. Non-Cryst. Solids 47, 283 (1982).
    [CrossRef]
  7. Y. Asahara, S. Ohmi, “Gradient Index Lenses Made by Porous Glass Process,” in Technical Digest, Topical Meeting on Gradient-Index Optical Imaging Systems (Optical Society of America, Washington, D.C., 1984), paper ThE-B1.
  8. I. Ohishi, J. Nakajima, M. Kaino, “Optical Star Coupler Using 1-D GRIN Lenses,” National Convention Record 1984 (The Institute of Electronics and Communication Engineers of Japan, Tokyo, 1984), Part 10, p. 361.

1984 (1)

1982 (1)

T. Yamagishi, K. Fujii, I. Kitano, “Fabrication of a New Gradient-Index Rod Lens with High Performance,” J. Non-Cryst. Solids 47, 283 (1982).
[CrossRef]

1980 (1)

1979 (1)

Asahara, Y.

Y. Asahara, S. Ohmi, “Gradient Index Lenses Made by Porous Glass Process,” in Technical Digest, Topical Meeting on Gradient-Index Optical Imaging Systems (Optical Society of America, Washington, D.C., 1984), paper ThE-B1.

Crank, J.

J. Crank; “The Mathematics of Diffusion (Clarendon, Oxford, 1975), p. 44.

Fujii, K.

T. Yamagishi, K. Fujii, I. Kitano, “Fabrication of a New Gradient-Index Rod Lens with High Performance,” J. Non-Cryst. Solids 47, 283 (1982).
[CrossRef]

Kaino, M.

I. Ohishi, J. Nakajima, M. Kaino, “Optical Star Coupler Using 1-D GRIN Lenses,” National Convention Record 1984 (The Institute of Electronics and Communication Engineers of Japan, Tokyo, 1984), Part 10, p. 361.

Kitano, I.

T. Yamagishi, K. Fujii, I. Kitano, “Fabrication of a New Gradient-Index Rod Lens with High Performance,” J. Non-Cryst. Solids 47, 283 (1982).
[CrossRef]

Litovitz, T. A.

Macedo, P. B.

Mohr, P. K.

Moore, D. T.

Nakajima, J.

I. Ohishi, J. Nakajima, M. Kaino, “Optical Star Coupler Using 1-D GRIN Lenses,” National Convention Record 1984 (The Institute of Electronics and Communication Engineers of Japan, Tokyo, 1984), Part 10, p. 361.

Ohishi, I.

I. Ohishi, J. Nakajima, M. Kaino, “Optical Star Coupler Using 1-D GRIN Lenses,” National Convention Record 1984 (The Institute of Electronics and Communication Engineers of Japan, Tokyo, 1984), Part 10, p. 361.

Ohmi, S.

Y. Asahara, S. Ohmi, “Gradient Index Lenses Made by Porous Glass Process,” in Technical Digest, Topical Meeting on Gradient-Index Optical Imaging Systems (Optical Society of America, Washington, D.C., 1984), paper ThE-B1.

Simmons, J. H.

Stagaman, J. M.

Tomlinson, W. J.

Tran, D. C.

Yamagishi, T.

T. Yamagishi, K. Fujii, I. Kitano, “Fabrication of a New Gradient-Index Rod Lens with High Performance,” J. Non-Cryst. Solids 47, 283 (1982).
[CrossRef]

Appl. Opt. (3)

J. Non-Cryst. Solids (1)

T. Yamagishi, K. Fujii, I. Kitano, “Fabrication of a New Gradient-Index Rod Lens with High Performance,” J. Non-Cryst. Solids 47, 283 (1982).
[CrossRef]

Other (4)

Y. Asahara, S. Ohmi, “Gradient Index Lenses Made by Porous Glass Process,” in Technical Digest, Topical Meeting on Gradient-Index Optical Imaging Systems (Optical Society of America, Washington, D.C., 1984), paper ThE-B1.

I. Ohishi, J. Nakajima, M. Kaino, “Optical Star Coupler Using 1-D GRIN Lenses,” National Convention Record 1984 (The Institute of Electronics and Communication Engineers of Japan, Tokyo, 1984), Part 10, p. 361.

J. Crank; “The Mathematics of Diffusion (Clarendon, Oxford, 1975), p. 44.

P. B. Macedo, T. A. Litovitz, “Method for Producing Optical Waveguide Fibers,” U. S. Patent3,938,974 (1976).

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Figures (7)

Fig. 1
Fig. 1

Molecular stuffing process for fabricating a gradient-index slab lens.

Fig. 2
Fig. 2

Typical example of the interference pattern of TlNO3-doped slab lens.

Fig. 3
Fig. 3

Variations of a concentration profile of a slab lens with variations in Tf.

Fig. 4
Fig. 4

Variations of g0 and dS as a function of diffusion parameter Tf.

Fig. 5
Fig. 5

Variations of g0 and dS as a function of unstuffing time for a 3.4-mm ϕ rod lens and 3.4-mm thick slab lens.

Fig. 6
Fig. 6

Variations of refractive index of CsNO3-doped slab lens as a function of thickness from the center: left, index; right, deviation.

Fig. 7
Fig. 7

Typical example of the use of a slab lens: 1 × 7 star coupler.

Tables (2)

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Table I Optical Properties of Slab Lens

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Table II Thermal Properties of Slab Lens

Equations (3)

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n ( r 2 ) = n 0 2 ( 1 g 0 2 r 2 ) .
C ( x , t ) C 1 C 0 C 1 = 4 π n = 0 ( 1 ) n 2 n + 1 exp [ ( 2 n + 1 ) 2 π 2 ] · T f / 4 ] cos [ ( 2 n + 1 ) π x / 2 ] ,
d S = i [ n ( x i , t ) 2 ( A + B · x i 2 ) ] 2 N .

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