Abstract

A novel fiber tapering shape, which is based on compound parabolic geometry, is proposed to increase the acceptance angle of a compound parabolic concentrator. The proposed design is described by use of ray optics on a step-index multimode fiber.

© 2004 Optical Society of America

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References

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  1. O. P. Gough, U. Buckley, B. Corbett, J. D. Lambkin, “Low divergence laser structures for cost effective fiber coupling application,” IEEE J. Sel. Top. Quantum Electron. 6, 571–576 (2000).
    [CrossRef]
  2. N. Amitay, H. M. Presby, “Optical fiber up-tapers modeling and performance analysis,” J. Lightwave Technol. 7, 131–137 (1989).
    [CrossRef]
  3. H. Ghafouri-Shiraz, T. Asano, “Microlens for coupling a semiconductor laser to a single-mode fiber,” Opt. Lett. 11, 537–539 (1986).
    [CrossRef]
  4. Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
    [CrossRef]
  5. W. T. Welford, R. Winston, The Optics of Nonimaging Concentrators (Academic, New York, 1978).
  6. J. A. Buck, Fundamentals of Optical Fibers (Wiley, New York, 1995).

2000 (1)

O. P. Gough, U. Buckley, B. Corbett, J. D. Lambkin, “Low divergence laser structures for cost effective fiber coupling application,” IEEE J. Sel. Top. Quantum Electron. 6, 571–576 (2000).
[CrossRef]

1995 (1)

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

1989 (1)

N. Amitay, H. M. Presby, “Optical fiber up-tapers modeling and performance analysis,” J. Lightwave Technol. 7, 131–137 (1989).
[CrossRef]

1986 (1)

Amitay, N.

N. Amitay, H. M. Presby, “Optical fiber up-tapers modeling and performance analysis,” J. Lightwave Technol. 7, 131–137 (1989).
[CrossRef]

Asano, T.

Buck, J. A.

J. A. Buck, Fundamentals of Optical Fibers (Wiley, New York, 1995).

Buckley, U.

O. P. Gough, U. Buckley, B. Corbett, J. D. Lambkin, “Low divergence laser structures for cost effective fiber coupling application,” IEEE J. Sel. Top. Quantum Electron. 6, 571–576 (2000).
[CrossRef]

Corbett, B.

O. P. Gough, U. Buckley, B. Corbett, J. D. Lambkin, “Low divergence laser structures for cost effective fiber coupling application,” IEEE J. Sel. Top. Quantum Electron. 6, 571–576 (2000).
[CrossRef]

Fukano, H.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Fukuda, M.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Ghafouri-Shiraz, H.

Gough, O. P.

O. P. Gough, U. Buckley, B. Corbett, J. D. Lambkin, “Low divergence laser structures for cost effective fiber coupling application,” IEEE J. Sel. Top. Quantum Electron. 6, 571–576 (2000).
[CrossRef]

Itaya, Y.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Lambkin, J. D.

O. P. Gough, U. Buckley, B. Corbett, J. D. Lambkin, “Low divergence laser structures for cost effective fiber coupling application,” IEEE J. Sel. Top. Quantum Electron. 6, 571–576 (2000).
[CrossRef]

Matsumoto, S.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Mitomi, O.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Okamoto, M.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Presby, H. M.

N. Amitay, H. M. Presby, “Optical fiber up-tapers modeling and performance analysis,” J. Lightwave Technol. 7, 131–137 (1989).
[CrossRef]

Sakai, Y.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Sugie, T.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Suzaki, Y.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Tohmori, Y.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Wada, M.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Welford, W. T.

W. T. Welford, R. Winston, The Optics of Nonimaging Concentrators (Academic, New York, 1978).

Winston, R.

W. T. Welford, R. Winston, The Optics of Nonimaging Concentrators (Academic, New York, 1978).

Yamamoto, M.

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

Electron. Lett. (1)

Y. Tohmori, Y. Suzaki, H. Fukano, M. Okamoto, Y. Sakai, O. Mitomi, S. Matsumoto, M. Yamamoto, M. Fukuda, M. Wada, Y. Itaya, T. Sugie, “Spot size converted 1.3 μm laser with butt jointed selectively grown vertically tapered waveguide,” Electron. Lett. 31, 1069–1070 (1995).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

O. P. Gough, U. Buckley, B. Corbett, J. D. Lambkin, “Low divergence laser structures for cost effective fiber coupling application,” IEEE J. Sel. Top. Quantum Electron. 6, 571–576 (2000).
[CrossRef]

J. Lightwave Technol. (1)

N. Amitay, H. M. Presby, “Optical fiber up-tapers modeling and performance analysis,” J. Lightwave Technol. 7, 131–137 (1989).
[CrossRef]

Opt. Lett. (1)

Other (2)

W. T. Welford, R. Winston, The Optics of Nonimaging Concentrators (Academic, New York, 1978).

J. A. Buck, Fundamentals of Optical Fibers (Wiley, New York, 1995).

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Figures (3)

Fig. 1
Fig. 1

Two-dimensional geometry of a section of the CPC.5

Fig. 2
Fig. 2

Illustration of the proposed CPTF.

Fig. 3
Fig. 3

Calculated coupling efficiency of the compound parabolic tapered fiber versus working distance from a light source: solid curve, m = 1; dotted curve, m = 2; dashed curve, m = 4; dashed-double-dotted curve, m = 8.

Equations (10)

Equations on this page are rendered with MathJax. Learn more.

f=a1+sin θi,
a=asin θi,
L=a+atan θi.
y=2a1+sin θisinϕ-θi1-cos ϕ-a,
z=2a1+sin θicosϕ-θi1-cos ϕ,
cosθi+βmax2n0/n12-1,
θi90°-θccos-1n2/n1,
a=a2Δ=a NAn1,
L=a1+12Δn2n1,
sinβmax=2n12n0n22Δ0-n02-n122Δ,

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