Abstract

Coupled waveguides, such as those used as optical filters, switches, or couplers, are investigated in the context of coherence theory. A stochastic source is introduced to the standard coupled-mode model. Decay in the power transferred between the waveguides as a function of distance is predicted. Application of this result in the form of an interferometric spectrometer is explored.

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References

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  1. S. L. Chuang, IEEE J. Quantum Electron. 23, 499(1987).
    [CrossRef]
  2. S. L. Chuang, Physics of Optoelectronic Devices (Wiley & Sons, 1995).
  3. J. Donnelly, N. DeMeo, and G. Ferrante, J. Lightwave Technol. 1, 417 (1983).
    [CrossRef]
  4. B. Broberg and S. Lindgren, J. Appl. Phys. 55, 3376(1984).
    [CrossRef]
  5. H. Kogelnik and R. Schmidt, IEEE J. Quantum Electron. 12, 396 (1976).
    [CrossRef]
  6. C. Setterlind and L. Thylen, IEEE J. Quantum Electron. 22, 595 (1986).
    [CrossRef]
  7. J. P. Donnelly, N. L. DeMeo, G. A. Ferrante, K. B. Nichols, and F. J. O’Donnell, Appl. Phys. Lett. 45, 360 (1984).
    [CrossRef]
  8. A. Yariv, IEEE J. Quantum Electron. 9, 919 (1973).
    [CrossRef]
  9. A. Hardy and W. Streifer, J. Lightwave Technol. 3, 1135 (1985).
    [CrossRef]
  10. S. L. Chuang, J. Lightwave Technol. 5, 5 (1987).
    [CrossRef]
  11. H. A. Haus and W. Huang, Proc. IEEE 79, 1505 (1991).
    [CrossRef]
  12. W. P. Huang, J. Opt. Soc. Am. A 11, 963 (1994).
    [CrossRef]

1994 (1)

1991 (1)

H. A. Haus and W. Huang, Proc. IEEE 79, 1505 (1991).
[CrossRef]

1987 (2)

S. L. Chuang, IEEE J. Quantum Electron. 23, 499(1987).
[CrossRef]

S. L. Chuang, J. Lightwave Technol. 5, 5 (1987).
[CrossRef]

1986 (1)

C. Setterlind and L. Thylen, IEEE J. Quantum Electron. 22, 595 (1986).
[CrossRef]

1985 (1)

A. Hardy and W. Streifer, J. Lightwave Technol. 3, 1135 (1985).
[CrossRef]

1984 (2)

J. P. Donnelly, N. L. DeMeo, G. A. Ferrante, K. B. Nichols, and F. J. O’Donnell, Appl. Phys. Lett. 45, 360 (1984).
[CrossRef]

B. Broberg and S. Lindgren, J. Appl. Phys. 55, 3376(1984).
[CrossRef]

1983 (1)

J. Donnelly, N. DeMeo, and G. Ferrante, J. Lightwave Technol. 1, 417 (1983).
[CrossRef]

1976 (1)

H. Kogelnik and R. Schmidt, IEEE J. Quantum Electron. 12, 396 (1976).
[CrossRef]

1973 (1)

A. Yariv, IEEE J. Quantum Electron. 9, 919 (1973).
[CrossRef]

Broberg, B.

B. Broberg and S. Lindgren, J. Appl. Phys. 55, 3376(1984).
[CrossRef]

Chuang, S. L.

S. L. Chuang, J. Lightwave Technol. 5, 5 (1987).
[CrossRef]

S. L. Chuang, IEEE J. Quantum Electron. 23, 499(1987).
[CrossRef]

S. L. Chuang, Physics of Optoelectronic Devices (Wiley & Sons, 1995).

DeMeo, N.

J. Donnelly, N. DeMeo, and G. Ferrante, J. Lightwave Technol. 1, 417 (1983).
[CrossRef]

DeMeo, N. L.

J. P. Donnelly, N. L. DeMeo, G. A. Ferrante, K. B. Nichols, and F. J. O’Donnell, Appl. Phys. Lett. 45, 360 (1984).
[CrossRef]

Donnelly, J.

J. Donnelly, N. DeMeo, and G. Ferrante, J. Lightwave Technol. 1, 417 (1983).
[CrossRef]

Donnelly, J. P.

J. P. Donnelly, N. L. DeMeo, G. A. Ferrante, K. B. Nichols, and F. J. O’Donnell, Appl. Phys. Lett. 45, 360 (1984).
[CrossRef]

Ferrante, G.

J. Donnelly, N. DeMeo, and G. Ferrante, J. Lightwave Technol. 1, 417 (1983).
[CrossRef]

Ferrante, G. A.

J. P. Donnelly, N. L. DeMeo, G. A. Ferrante, K. B. Nichols, and F. J. O’Donnell, Appl. Phys. Lett. 45, 360 (1984).
[CrossRef]

Hardy, A.

A. Hardy and W. Streifer, J. Lightwave Technol. 3, 1135 (1985).
[CrossRef]

Haus, H. A.

H. A. Haus and W. Huang, Proc. IEEE 79, 1505 (1991).
[CrossRef]

Huang, W.

H. A. Haus and W. Huang, Proc. IEEE 79, 1505 (1991).
[CrossRef]

Huang, W. P.

Kogelnik, H.

H. Kogelnik and R. Schmidt, IEEE J. Quantum Electron. 12, 396 (1976).
[CrossRef]

Lindgren, S.

B. Broberg and S. Lindgren, J. Appl. Phys. 55, 3376(1984).
[CrossRef]

Nichols, K. B.

J. P. Donnelly, N. L. DeMeo, G. A. Ferrante, K. B. Nichols, and F. J. O’Donnell, Appl. Phys. Lett. 45, 360 (1984).
[CrossRef]

O’Donnell, F. J.

J. P. Donnelly, N. L. DeMeo, G. A. Ferrante, K. B. Nichols, and F. J. O’Donnell, Appl. Phys. Lett. 45, 360 (1984).
[CrossRef]

Schmidt, R.

H. Kogelnik and R. Schmidt, IEEE J. Quantum Electron. 12, 396 (1976).
[CrossRef]

Setterlind, C.

C. Setterlind and L. Thylen, IEEE J. Quantum Electron. 22, 595 (1986).
[CrossRef]

Streifer, W.

A. Hardy and W. Streifer, J. Lightwave Technol. 3, 1135 (1985).
[CrossRef]

Thylen, L.

C. Setterlind and L. Thylen, IEEE J. Quantum Electron. 22, 595 (1986).
[CrossRef]

Yariv, A.

A. Yariv, IEEE J. Quantum Electron. 9, 919 (1973).
[CrossRef]

Appl. Phys. Lett. (1)

J. P. Donnelly, N. L. DeMeo, G. A. Ferrante, K. B. Nichols, and F. J. O’Donnell, Appl. Phys. Lett. 45, 360 (1984).
[CrossRef]

IEEE J. Quantum Electron. (4)

A. Yariv, IEEE J. Quantum Electron. 9, 919 (1973).
[CrossRef]

S. L. Chuang, IEEE J. Quantum Electron. 23, 499(1987).
[CrossRef]

H. Kogelnik and R. Schmidt, IEEE J. Quantum Electron. 12, 396 (1976).
[CrossRef]

C. Setterlind and L. Thylen, IEEE J. Quantum Electron. 22, 595 (1986).
[CrossRef]

J. Appl. Phys. (1)

B. Broberg and S. Lindgren, J. Appl. Phys. 55, 3376(1984).
[CrossRef]

J. Lightwave Technol. (3)

J. Donnelly, N. DeMeo, and G. Ferrante, J. Lightwave Technol. 1, 417 (1983).
[CrossRef]

A. Hardy and W. Streifer, J. Lightwave Technol. 3, 1135 (1985).
[CrossRef]

S. L. Chuang, J. Lightwave Technol. 5, 5 (1987).
[CrossRef]

J. Opt. Soc. Am. A (1)

Proc. IEEE (1)

H. A. Haus and W. Huang, Proc. IEEE 79, 1505 (1991).
[CrossRef]

Other (1)

S. L. Chuang, Physics of Optoelectronic Devices (Wiley & Sons, 1995).

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Figures (2)

Fig. 1
Fig. 1

Intensity in waveguide b for λ = 1.55 μm and Δ λ = 100 nm (solid), Δ λ = 10 nm (dashed), and Δ λ = 1 nm (dotted).

Fig. 2
Fig. 2

Exact (solid curve) and reproduced (crosses) spectra of the stochastic optical sources of different bandwidths. Insets, all three spectra on the same scale.

Tables (1)

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Table 1 Definitions of Terms (Units: μm 1 )

Equations (11)

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[ a ( z ) b ( z ) ] = VF V 1 [ a ( 0 ) b ( 0 ) ] ,
V = [ K a b K a b Δ β + ψ Δ β ψ ] ,
F = [ e i β + z 0 0 e i β z ] ,
W ( z ) = [ a * ( z ) a ( z ) a * ( z ) b ( z ) b * ( z ) a ( z ) b * ( z ) b ( z ) ] = [ W a a ( z ) W a b ( z ) W b a ( z ) W b b ( z ) ] ,
W a a ( z ) = S | 2 ψ | 2 [ | ψ Δ β | 2 + | ψ + Δ β | 2 + 2 { ( ψ Δ β ) * ( ψ + Δ β ) e i 2 ψ z } ] ,
W b b ( z ) = S | K a b | 2 2 | ψ | 2 [ 1 cos ( 2 ψ z ) ] .
K a b = K b a * , | K a b | = ω c κ + κ 0 ,
W a a ( z ) = S 2 [ 1 + cos 2 z ( ω κ / c + κ 0 ) ] ,
W b b ( z ) = S 2 [ 1 cos 2 z ( ω κ / c + κ 0 ) ] .
I a ( z ) = 1 2 [ Γ ( 0 ) + { Γ ( 2 κ z / c ) e i 2 κ 0 z } ] ,
I b ( z ) = 1 2 [ Γ ( 0 ) { Γ ( 2 κ z / c ) e i 2 κ 0 z } ] ,

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