Abstract

It has been suggested that the large value of group velocity dispersion (GVD) found in a Bragg grating filter written in an optical waveguide could be used for pulse compression. Three expressions are derived relating the compression ratio to the value of GVD and to the bandwidth over which GVD is nearly constant. It is shown that the maximum compression ratio that can be achieved with an unchirped grating is severely limited by the small bandwidth of the high dispersion regions in the transmission spectrum of the filter.

© 1990 Optical Society of America

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References

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  1. D. C. Flanders, H. Kogelnik, R. V. Schmidt, C. V. Shank, “Grating Filters for Thin-Film Optical Waveguides,” Appl. Phys. Lett. 24, 194–196 (1974).
    [CrossRef]
  2. M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, “Grating Coupler for Efficient Excitation of Optical Guided Waves in Thin Films,” Appl. Phys. Lett. 16, 523–525 (1970).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  8. F. Ouellette, “Dispersion Cancellation Using Linearly Chirped Bragg Grating Filters in Optical Waveguides,” Opt. Lett. 12, 847–849 (1987).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  11. B. Nikolaus, D. Grishkowsky, “12× Pulse Compression Using Optical Fibers,” Appl. Phys. Lett. 42, 13–15 (1983).
    [CrossRef]
  12. R. G. Priest, T. G. Giallorenzi, “Dispersion Compensation in Coherent Fiber-Optic Communications,” Opt. Lett. 12, 622–624 (1987).
    [CrossRef] [PubMed]
  13. J. Arnaud, “A Theory of Gaussian Pulse Propagation,” Opt. Quantum Electron. 16, 125–130 (1984).
    [CrossRef]
  14. H. G. Winful, J. H. Marburger, E. Garmire, “Theory of Bistability in Nonlinear Distributed Feedback Structures,” Appl. Phys. Lett. 35, 379–381 (1979).
    [CrossRef]
  15. J. E. Sipe, H. G. Winful, “Nonlinear Shrodinger Solitons in a Periodic Structure,” Opt. Lett. 13, 132–133 (1988).
    [CrossRef] [PubMed]

1988 (2)

1987 (2)

1985 (1)

H. G. Winful, “Pulse Compression in Optical Fiber Filters,” Appl. Phys. Lett. 46, 527–529 (1985).
[CrossRef]

1984 (1)

J. Arnaud, “A Theory of Gaussian Pulse Propagation,” Opt. Quantum Electron. 16, 125–130 (1984).
[CrossRef]

1983 (1)

B. Nikolaus, D. Grishkowsky, “12× Pulse Compression Using Optical Fibers,” Appl. Phys. Lett. 42, 13–15 (1983).
[CrossRef]

1982 (1)

1979 (1)

H. G. Winful, J. H. Marburger, E. Garmire, “Theory of Bistability in Nonlinear Distributed Feedback Structures,” Appl. Phys. Lett. 35, 379–381 (1979).
[CrossRef]

1978 (1)

K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, “Photosensitivity in Optical Fiber Waveguides: Application to Reflection Filter Fabrication,” Appl. Phys. Lett. 32, 647–649 (1978).
[CrossRef]

1975 (1)

1974 (3)

1970 (1)

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, “Grating Coupler for Efficient Excitation of Optical Guided Waves in Thin Films,” Appl. Phys. Lett. 16, 523–525 (1970).
[CrossRef]

Arnaud, J.

J. Arnaud, “A Theory of Gaussian Pulse Propagation,” Opt. Quantum Electron. 16, 125–130 (1984).
[CrossRef]

Dakss, M. L.

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, “Grating Coupler for Efficient Excitation of Optical Guided Waves in Thin Films,” Appl. Phys. Lett. 16, 523–525 (1970).
[CrossRef]

Flanders, D. C.

D. C. Flanders, H. Kogelnik, R. V. Schmidt, C. V. Shank, “Grating Filters for Thin-Film Optical Waveguides,” Appl. Phys. Lett. 24, 194–196 (1974).
[CrossRef]

Fujii, Y.

K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, “Photosensitivity in Optical Fiber Waveguides: Application to Reflection Filter Fabrication,” Appl. Phys. Lett. 32, 647–649 (1978).
[CrossRef]

Garmire, E.

H. G. Winful, J. H. Marburger, E. Garmire, “Theory of Bistability in Nonlinear Distributed Feedback Structures,” Appl. Phys. Lett. 35, 379–381 (1979).
[CrossRef]

Garside, B. K.

Giallorenzi, T. G.

Grishkowsky, D.

B. Nikolaus, D. Grishkowsky, “12× Pulse Compression Using Optical Fibers,” Appl. Phys. Lett. 42, 13–15 (1983).
[CrossRef]

Heidrich, P. F.

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, “Grating Coupler for Efficient Excitation of Optical Guided Waves in Thin Films,” Appl. Phys. Lett. 16, 523–525 (1970).
[CrossRef]

Hill, K. O.

Johnson, D. C.

K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, “Photosensitivity in Optical Fiber Waveguides: Application to Reflection Filter Fabrication,” Appl. Phys. Lett. 32, 647–649 (1978).
[CrossRef]

Kawasaki, B. S.

K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, “Photosensitivity in Optical Fiber Waveguides: Application to Reflection Filter Fabrication,” Appl. Phys. Lett. 32, 647–649 (1978).
[CrossRef]

Kogelnik, H.

D. C. Flanders, H. Kogelnik, R. V. Schmidt, C. V. Shank, “Grating Filters for Thin-Film Optical Waveguides,” Appl. Phys. Lett. 24, 194–196 (1974).
[CrossRef]

Kuhn, L.

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, “Grating Coupler for Efficient Excitation of Optical Guided Waves in Thin Films,” Appl. Phys. Lett. 16, 523–525 (1970).
[CrossRef]

Kuo, C. P.

Lam, D. K. W.

Marburger, J. H.

H. G. Winful, J. H. Marburger, E. Garmire, “Theory of Bistability in Nonlinear Distributed Feedback Structures,” Appl. Phys. Lett. 35, 379–381 (1979).
[CrossRef]

Matsuhara, M.

Nikolaus, B.

B. Nikolaus, D. Grishkowsky, “12× Pulse Compression Using Optical Fibers,” Appl. Phys. Lett. 42, 13–15 (1983).
[CrossRef]

Osterberg, U.

Ouellette, F.

Priest, R. G.

Schmidt, R. V.

D. C. Flanders, H. Kogelnik, R. V. Schmidt, C. V. Shank, “Grating Filters for Thin-Film Optical Waveguides,” Appl. Phys. Lett. 24, 194–196 (1974).
[CrossRef]

Scott, B. A.

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, “Grating Coupler for Efficient Excitation of Optical Guided Waves in Thin Films,” Appl. Phys. Lett. 16, 523–525 (1970).
[CrossRef]

Seaton, C. T.

Shank, C. V.

D. C. Flanders, H. Kogelnik, R. V. Schmidt, C. V. Shank, “Grating Filters for Thin-Film Optical Waveguides,” Appl. Phys. Lett. 24, 194–196 (1974).
[CrossRef]

Sipe, J. E.

Stegeman, G. I.

Watanabe, A.

Winful, H. G.

J. E. Sipe, H. G. Winful, “Nonlinear Shrodinger Solitons in a Periodic Structure,” Opt. Lett. 13, 132–133 (1988).
[CrossRef] [PubMed]

H. G. Winful, “Pulse Compression in Optical Fiber Filters,” Appl. Phys. Lett. 46, 527–529 (1985).
[CrossRef]

H. G. Winful, J. H. Marburger, E. Garmire, “Theory of Bistability in Nonlinear Distributed Feedback Structures,” Appl. Phys. Lett. 35, 379–381 (1979).
[CrossRef]

Appl. Opt. (2)

Appl. Phys. Lett. (6)

D. C. Flanders, H. Kogelnik, R. V. Schmidt, C. V. Shank, “Grating Filters for Thin-Film Optical Waveguides,” Appl. Phys. Lett. 24, 194–196 (1974).
[CrossRef]

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, “Grating Coupler for Efficient Excitation of Optical Guided Waves in Thin Films,” Appl. Phys. Lett. 16, 523–525 (1970).
[CrossRef]

H. G. Winful, “Pulse Compression in Optical Fiber Filters,” Appl. Phys. Lett. 46, 527–529 (1985).
[CrossRef]

K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, “Photosensitivity in Optical Fiber Waveguides: Application to Reflection Filter Fabrication,” Appl. Phys. Lett. 32, 647–649 (1978).
[CrossRef]

B. Nikolaus, D. Grishkowsky, “12× Pulse Compression Using Optical Fibers,” Appl. Phys. Lett. 42, 13–15 (1983).
[CrossRef]

H. G. Winful, J. H. Marburger, E. Garmire, “Theory of Bistability in Nonlinear Distributed Feedback Structures,” Appl. Phys. Lett. 35, 379–381 (1979).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Lett. (5)

Opt. Quantum Electron. (1)

J. Arnaud, “A Theory of Gaussian Pulse Propagation,” Opt. Quantum Electron. 16, 125–130 (1984).
[CrossRef]

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Figures (1)

Fig. 1
Fig. 1

(a) Solid line, transmission of a Bragg grating filter with θ = 4.0 as a function of the normalized detuning Δ; dashed line, dispersion parameter C. (b) Close-up of the second dispersion extremum of the same filter: solid line, transmission; dashed line, dispersion.

Equations (11)

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

t ( Δ ) = T exp ( - i Δ ) T cosh T - i sinh T ,
r ( Δ ) = - θ sinh T T cosh T - i sinh T ,
r ( Δ ) = r Δ exp [ i ϕ r ( Δ ) ] ,
t ( Δ ) = t ( Δ ) exp [ i ϕ r ( Δ ) ] ,
C = δ 2 ϕ / δ Δ 2 = ( Δ A T B ) [ 1 T + X B + Y A ] ,
τ 1 / τ 0 = 1 + F 2 ,
τ 1 / τ 0 = 1 + F - G ) 2 ,
τ 1 / τ 2 = 1 + G 2 .
τ 1 / τ 2 = [ 1 + ( 1 + G ) 2 ] / 2 .
F = G 2 + [ ( G 2 ) 2 + 1 ] 1 / 2 ,
τ 1 / τ 2 = [ 1 + ( 2 / G ) 2 + 1 1 + ( 2 / G ) 2 - 1 ] 1 / 2 .

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