Abstract

Ideal wavelength-selective filters with a flat transmission passband, large out-of-band rejection, and reduced sensitivity to fabrication can be realized by use of adiabatic coupling. The physical construction of the filter limits adiabatic power exchange to a specific range of wavelengths, thus yielding a boxlike response. Such robust response, however, requires an increased device length compared with that of optimized filters that achieve the same filter characteristics. No sophisticated synthesis method is required here, and an accurate description of filter response follows from simple physics.

© 1996 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  8. B. E. Little, J. Lightwave Technol. 14, 188 (1996).
    [CrossRef]

1996 (3)

1995 (2)

G. H. Song, J. Lightwave Technol. 13, 470 (1995).
[CrossRef]

J. L. Jackel, J. E. Baran, A. d'Alessandro, D. A. Smith, J. Photon. Technol. Lett. 7, 318 (1995).
[CrossRef]

1993 (1)

1989 (1)

R. R. A. Syms, R. G. Peall, Opt. Commun. 69, 235 (1989).
[CrossRef]

1987 (1)

Y. Silberberg, P. Perlmutter, J. E. Baran, Appl. Phys. Lett. 51, 1230 (1987).
[CrossRef]

Aronson, L. B.

Bao, Z.

Baran, J. E.

J. L. Jackel, J. E. Baran, A. d'Alessandro, D. A. Smith, J. Photon. Technol. Lett. 7, 318 (1995).
[CrossRef]

Y. Silberberg, P. Perlmutter, J. E. Baran, Appl. Phys. Lett. 51, 1230 (1987).
[CrossRef]

Chakravarthy, R. S.

d'Alessandro, A.

J. L. Jackel, J. E. Baran, A. d'Alessandro, D. A. Smith, J. Photon. Technol. Lett. 7, 318 (1995).
[CrossRef]

Dolfi, D. W.

Huang, W.-P.

Imam, N.

Jackel, J. L.

J. L. Jackel, J. E. Baran, A. d'Alessandro, D. A. Smith, J. Photon. Technol. Lett. 7, 318 (1995).
[CrossRef]

Kallman, J.

Kissa, K.

Little, B. E.

Pathan, M. A.

Peall, R. G.

R. R. A. Syms, R. G. Peall, Opt. Commun. 69, 235 (1989).
[CrossRef]

Perlmutter, P.

Y. Silberberg, P. Perlmutter, J. E. Baran, Appl. Phys. Lett. 51, 1230 (1987).
[CrossRef]

Rankin, G.

Rashid, H.

Silberberg, Y.

Y. Silberberg, P. Perlmutter, J. E. Baran, Appl. Phys. Lett. 51, 1230 (1987).
[CrossRef]

Smith, D. A.

Song, G. H.

G. H. Song, J. Lightwave Technol. 13, 470 (1995).
[CrossRef]

Syms, R. R. A.

R. R. A. Syms, R. G. Peall, Opt. Commun. 69, 235 (1989).
[CrossRef]

Trutna, W. R.

Wu, C.

Appl. Phys. Lett. (1)

Y. Silberberg, P. Perlmutter, J. E. Baran, Appl. Phys. Lett. 51, 1230 (1987).
[CrossRef]

J. Lightwave Technol. (2)

G. H. Song, J. Lightwave Technol. 13, 470 (1995).
[CrossRef]

B. E. Little, J. Lightwave Technol. 14, 188 (1996).
[CrossRef]

J. Photon. Technol. Lett. (1)

J. L. Jackel, J. E. Baran, A. d'Alessandro, D. A. Smith, J. Photon. Technol. Lett. 7, 318 (1995).
[CrossRef]

Opt. Commun. (1)

R. R. A. Syms, R. G. Peall, Opt. Commun. 69, 235 (1989).
[CrossRef]

Opt. Lett. (3)

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Figures (4)

Fig. 1
Fig. 1

Two implementations of the adiabatic wavelength filter in corrugated waveguides. (a) The grating period remains uniform while varying the dimensions of one or both waveguides introduces a phase chirp. (b) The waveguide dimensions remain uniform while the grating period is monotonically varied.

Fig. 2
Fig. 2

General description of waveguide interaction κ(z) and phase matching Δβ(λ;z) along an adiabatic coupler. A change in wavelength translates the detuning curve vertically by some uniform amount δ(λλ0), which causes the point of synchronism Δβ (λ; z) = 0 to shift along the coupler length. Significant power transfer occurs only about the position of synchronism and is thus limited to the wavelengths for which synchronism falls within the range ±L/2.

Fig. 3
Fig. 3

Ideal boxlike response of the adiabatic filter for various chirp magnitudes Δ. The magnitude of the chirp governs the passband width by means of the relation δBW ∼ |Δ|L, where L is the device length (here L = 10). The detuning has been normalized to a unit length device, given in units of radians.

Fig. 4
Fig. 4

Comparison of the optimized filter and the adiabatic filter for achieving an ideal boxlike response. (a) Coupling strength profiles for the optimized filter of unit length and for an adiabatic filter of the same length. (b) Response of the optimized filter and various adiabatic filters with different lengths. In all cases the chirp Δ has been selected to minimize bandwidth.

Equations (5)

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d A 1 d z = j / 2 Δ β ( λ ; z ) A 1 j κ ( z ) A 2 ,
d A 2 d z = j / 2 Δ β ( λ ; z ) A 2 j κ ( z ) A 1 ,
Δ β ( λ ; z ) = δ ( λ λ 0 ) + Δ z ,
δ BW Δ L ,
κ 2 > ˜ Δ .

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