Abstract

A complete theoretical analysis of a modified grating-frustrated coupler with a second grating in the input channel is presented. We show that this second grating allows for a reduction to zero of backreflected light and transmits all the radiation near the Bragg wavelength to a drop port.

© 2001 Optical Society of America

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References

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  1. F. Bilodeau, D. C. Johnson, S. Thériault, B. Malo, J. Albert, and K. O. Hill, IEEE Photon. Technol. Lett. 7, 388 (1995).
    [CrossRef]
  2. A. S. Kewitch, G. A. Rakuljic, P. A. Willems, and A. Yariv, Opt. Lett. 23, 106 (1998).
    [CrossRef]
  3. F. Bakhti, P. Sansonetti, C. Sinet, L. Gasca, L. Martineau, S. Lacroix, X. Daxhelet, and F. Gonthier, Electron. Lett. 33, 803 (1997).
    [CrossRef]
  4. L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. St. J. Russell, IEEE Photon. Technol. Lett. 8, 1056 (1996).
  5. J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, Opt. Lett. 19, 180 (1994).
    [CrossRef]
  6. A.-C. Jacob-Poulin, R. Vallée, S. LaRochelle, D. Faucher, and G. R. Atkins, J. Lightwave Technol. 18, 715 (2000).
    [CrossRef]
  7. R. R. A. Syms, Appl. Opt. 24, 717 (1985).
    [CrossRef]
  8. S. S. Orlov, A. Yariv, and S. V. Essen, Opt. Lett. 22, 688 (1997).
    [CrossRef] [PubMed]
  9. A. W. Snyder and A. Ankiewicz, J. Lightwave Technol. 6, 463 (1988).
    [CrossRef]

2000 (1)

1998 (1)

1997 (2)

F. Bakhti, P. Sansonetti, C. Sinet, L. Gasca, L. Martineau, S. Lacroix, X. Daxhelet, and F. Gonthier, Electron. Lett. 33, 803 (1997).
[CrossRef]

S. S. Orlov, A. Yariv, and S. V. Essen, Opt. Lett. 22, 688 (1997).
[CrossRef] [PubMed]

1996 (1)

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. St. J. Russell, IEEE Photon. Technol. Lett. 8, 1056 (1996).

1995 (1)

F. Bilodeau, D. C. Johnson, S. Thériault, B. Malo, J. Albert, and K. O. Hill, IEEE Photon. Technol. Lett. 7, 388 (1995).
[CrossRef]

1994 (1)

1988 (1)

A. W. Snyder and A. Ankiewicz, J. Lightwave Technol. 6, 463 (1988).
[CrossRef]

1985 (1)

Albert, J.

F. Bilodeau, D. C. Johnson, S. Thériault, B. Malo, J. Albert, and K. O. Hill, IEEE Photon. Technol. Lett. 7, 388 (1995).
[CrossRef]

Ankiewicz, A.

A. W. Snyder and A. Ankiewicz, J. Lightwave Technol. 6, 463 (1988).
[CrossRef]

Archambault, J.-L.

Atkins, G. R.

Bakhti, F.

F. Bakhti, P. Sansonetti, C. Sinet, L. Gasca, L. Martineau, S. Lacroix, X. Daxhelet, and F. Gonthier, Electron. Lett. 33, 803 (1997).
[CrossRef]

Barcelos, S.

Bilodeau, F.

F. Bilodeau, D. C. Johnson, S. Thériault, B. Malo, J. Albert, and K. O. Hill, IEEE Photon. Technol. Lett. 7, 388 (1995).
[CrossRef]

Birks, T. A.

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. St. J. Russell, IEEE Photon. Technol. Lett. 8, 1056 (1996).

Daxhelet, X.

F. Bakhti, P. Sansonetti, C. Sinet, L. Gasca, L. Martineau, S. Lacroix, X. Daxhelet, and F. Gonthier, Electron. Lett. 33, 803 (1997).
[CrossRef]

Dong, L.

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. St. J. Russell, IEEE Photon. Technol. Lett. 8, 1056 (1996).

Essen, S. V.

Faucher, D.

Gasca, L.

F. Bakhti, P. Sansonetti, C. Sinet, L. Gasca, L. Martineau, S. Lacroix, X. Daxhelet, and F. Gonthier, Electron. Lett. 33, 803 (1997).
[CrossRef]

Gonthier, F.

F. Bakhti, P. Sansonetti, C. Sinet, L. Gasca, L. Martineau, S. Lacroix, X. Daxhelet, and F. Gonthier, Electron. Lett. 33, 803 (1997).
[CrossRef]

Hill, K. O.

F. Bilodeau, D. C. Johnson, S. Thériault, B. Malo, J. Albert, and K. O. Hill, IEEE Photon. Technol. Lett. 7, 388 (1995).
[CrossRef]

Hua, P.

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. St. J. Russell, IEEE Photon. Technol. Lett. 8, 1056 (1996).

J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, Opt. Lett. 19, 180 (1994).
[CrossRef]

Jacob-Poulin, A.-C.

Johnson, D. C.

F. Bilodeau, D. C. Johnson, S. Thériault, B. Malo, J. Albert, and K. O. Hill, IEEE Photon. Technol. Lett. 7, 388 (1995).
[CrossRef]

Kewitch, A. S.

Lacroix, S.

F. Bakhti, P. Sansonetti, C. Sinet, L. Gasca, L. Martineau, S. Lacroix, X. Daxhelet, and F. Gonthier, Electron. Lett. 33, 803 (1997).
[CrossRef]

LaRochelle, S.

Malo, B.

F. Bilodeau, D. C. Johnson, S. Thériault, B. Malo, J. Albert, and K. O. Hill, IEEE Photon. Technol. Lett. 7, 388 (1995).
[CrossRef]

Martineau, L.

F. Bakhti, P. Sansonetti, C. Sinet, L. Gasca, L. Martineau, S. Lacroix, X. Daxhelet, and F. Gonthier, Electron. Lett. 33, 803 (1997).
[CrossRef]

Orlov, S. S.

Rakuljic, G. A.

Reekie, L.

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. St. J. Russell, IEEE Photon. Technol. Lett. 8, 1056 (1996).

J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, Opt. Lett. 19, 180 (1994).
[CrossRef]

Russell, P. St. J.

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. St. J. Russell, IEEE Photon. Technol. Lett. 8, 1056 (1996).

J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, Opt. Lett. 19, 180 (1994).
[CrossRef]

Sansonetti, P.

F. Bakhti, P. Sansonetti, C. Sinet, L. Gasca, L. Martineau, S. Lacroix, X. Daxhelet, and F. Gonthier, Electron. Lett. 33, 803 (1997).
[CrossRef]

Sinet, C.

F. Bakhti, P. Sansonetti, C. Sinet, L. Gasca, L. Martineau, S. Lacroix, X. Daxhelet, and F. Gonthier, Electron. Lett. 33, 803 (1997).
[CrossRef]

Snyder, A. W.

A. W. Snyder and A. Ankiewicz, J. Lightwave Technol. 6, 463 (1988).
[CrossRef]

Syms, R. R. A.

Thériault, S.

F. Bilodeau, D. C. Johnson, S. Thériault, B. Malo, J. Albert, and K. O. Hill, IEEE Photon. Technol. Lett. 7, 388 (1995).
[CrossRef]

Vallée, R.

Willems, P. A.

Yariv, A.

Appl. Opt. (1)

Electron. Lett. (1)

F. Bakhti, P. Sansonetti, C. Sinet, L. Gasca, L. Martineau, S. Lacroix, X. Daxhelet, and F. Gonthier, Electron. Lett. 33, 803 (1997).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. St. J. Russell, IEEE Photon. Technol. Lett. 8, 1056 (1996).

F. Bilodeau, D. C. Johnson, S. Thériault, B. Malo, J. Albert, and K. O. Hill, IEEE Photon. Technol. Lett. 7, 388 (1995).
[CrossRef]

J. Lightwave Technol. (2)

Opt. Lett. (3)

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Figures (4)

Fig. 1
Fig. 1

Schematic of the modified GFC. A second grating is added over the coupling zone.

Fig. 2
Fig. 2

Plots of the four coupler outputs as a function of grating strength κ2 at λB. Other parameters are κ1=5 cm-1, l=1 cm, cl=π/2, and l0=0 cm. R1 and T1 are negligible on the scale used.

Fig. 3
Fig. 3

Dependence of κ2 on κ1, leading to zero back-reflection at λB for l0=1 cm, l=1 cm, and cl=π/2. In the inset the strength of identical gratings κ versus external-grating segment length l0 is presented for the same parameter set.

Fig. 4
Fig. 4

Transmission and reflection of (a) core  2 and (b) core  1 versus wavelength for κ1=1.5 cm-1, κ2=0.8 cm-1, l0=2.5 cm, l=1 cm, and cl=π/2.

Equations (11)

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dA1/dz=ic1A2expiρ1-ρ2z+iκ1B1expi2ρ1z,
-dB1/dz=ic1B2exp-iρ1-ρ2z+iκ1A1exp-i2ρ1z,
dA2/dz=ic2A1exp-iρ1-ρ2z+iκ2B2expi2ρ2z,
-dB2/dz=ic2B1expiρ1-ρ2z+iκ2A2exp-i2ρ2z,
Ajz=Mjexpiμ+ρjz,Bjz=Njexpiμ-ρjz,
μ4+P2μ2+P0=0,
P2=κ12+κ22-2c1c2-ρ12-ρ22,
P0=c12c22+κ12κ22+ρ12ρ22-2c1c2κ1κ2-κ22ρ12-κ12ρ22-2c1c2ρ1ρ2.
T2A2z=l2/I0,T1A1z=l+l02/I0,R2B2z=02/I0,R1B1z=l+l02/I0,
κ2=c21-1/κ1l/κ1,
κ2=κ11+2l0/l.

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