Abstract

Studies have shown that 1st order coupling coefficient dispersion can cause significant effects on the propagation of short pulses in a twin-core coupler. In this paper, we have extended the study to the case of nonidentical cores and investigated the effect of 2nd order dispersive coupling coefficient on switching dynamics. A pair of new coupled nonlinear equations have been presented and analyzed.

©2003 Optical Society of America

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References

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  1. P. Shum, K. S. Chiang, and W. Alec Gambling, “Switching Dynamics of Short Optical Pulses in a Nonliner Directional Coupler,” IEEE J. Quantum Electron. 35, 79–83 (1999).
    [Crossref]
  2. K. S. Chiang, “Coupled-mode equation for pulse switching in parallel waveguieds,” IEEE J. Quantum Electron. 33, 950–954 (1997).
    [Crossref]
  3. P. M. Ramos and C. R. Paiva, “All-Optical Pulse Switching in Twin-Core Fiber Couplers with Intermodal Dispersion,” IEEE J.Quantum Electron. 35, 983–989 (1999).
    [Crossref]
  4. K. S. Chiang, “Intermodal Dispersion in Two-Core Optical Fibers,” Opt. Lett. 20, 997–999 (1995).
    [Crossref] [PubMed]
  5. H. Ghafouri-Shiraz, P. Shum, and M. Nagata, “A Novel Method for Analysis of Soliton Propagation in Optical Fibers,” IEEE J.Quantum Electron. 31, 190–200 (1995).
    [Crossref]

1999 (2)

P. Shum, K. S. Chiang, and W. Alec Gambling, “Switching Dynamics of Short Optical Pulses in a Nonliner Directional Coupler,” IEEE J. Quantum Electron. 35, 79–83 (1999).
[Crossref]

P. M. Ramos and C. R. Paiva, “All-Optical Pulse Switching in Twin-Core Fiber Couplers with Intermodal Dispersion,” IEEE J.Quantum Electron. 35, 983–989 (1999).
[Crossref]

1997 (1)

K. S. Chiang, “Coupled-mode equation for pulse switching in parallel waveguieds,” IEEE J. Quantum Electron. 33, 950–954 (1997).
[Crossref]

1995 (2)

H. Ghafouri-Shiraz, P. Shum, and M. Nagata, “A Novel Method for Analysis of Soliton Propagation in Optical Fibers,” IEEE J.Quantum Electron. 31, 190–200 (1995).
[Crossref]

K. S. Chiang, “Intermodal Dispersion in Two-Core Optical Fibers,” Opt. Lett. 20, 997–999 (1995).
[Crossref] [PubMed]

Chiang, K. S.

P. Shum, K. S. Chiang, and W. Alec Gambling, “Switching Dynamics of Short Optical Pulses in a Nonliner Directional Coupler,” IEEE J. Quantum Electron. 35, 79–83 (1999).
[Crossref]

K. S. Chiang, “Coupled-mode equation for pulse switching in parallel waveguieds,” IEEE J. Quantum Electron. 33, 950–954 (1997).
[Crossref]

K. S. Chiang, “Intermodal Dispersion in Two-Core Optical Fibers,” Opt. Lett. 20, 997–999 (1995).
[Crossref] [PubMed]

Gambling, W. Alec

P. Shum, K. S. Chiang, and W. Alec Gambling, “Switching Dynamics of Short Optical Pulses in a Nonliner Directional Coupler,” IEEE J. Quantum Electron. 35, 79–83 (1999).
[Crossref]

Ghafouri-Shiraz, H.

H. Ghafouri-Shiraz, P. Shum, and M. Nagata, “A Novel Method for Analysis of Soliton Propagation in Optical Fibers,” IEEE J.Quantum Electron. 31, 190–200 (1995).
[Crossref]

Nagata, M.

H. Ghafouri-Shiraz, P. Shum, and M. Nagata, “A Novel Method for Analysis of Soliton Propagation in Optical Fibers,” IEEE J.Quantum Electron. 31, 190–200 (1995).
[Crossref]

Paiva, C. R.

P. M. Ramos and C. R. Paiva, “All-Optical Pulse Switching in Twin-Core Fiber Couplers with Intermodal Dispersion,” IEEE J.Quantum Electron. 35, 983–989 (1999).
[Crossref]

Ramos, P. M.

P. M. Ramos and C. R. Paiva, “All-Optical Pulse Switching in Twin-Core Fiber Couplers with Intermodal Dispersion,” IEEE J.Quantum Electron. 35, 983–989 (1999).
[Crossref]

Shum, P.

P. Shum, K. S. Chiang, and W. Alec Gambling, “Switching Dynamics of Short Optical Pulses in a Nonliner Directional Coupler,” IEEE J. Quantum Electron. 35, 79–83 (1999).
[Crossref]

H. Ghafouri-Shiraz, P. Shum, and M. Nagata, “A Novel Method for Analysis of Soliton Propagation in Optical Fibers,” IEEE J.Quantum Electron. 31, 190–200 (1995).
[Crossref]

IEEE J. Quantum Electron. (2)

P. Shum, K. S. Chiang, and W. Alec Gambling, “Switching Dynamics of Short Optical Pulses in a Nonliner Directional Coupler,” IEEE J. Quantum Electron. 35, 79–83 (1999).
[Crossref]

K. S. Chiang, “Coupled-mode equation for pulse switching in parallel waveguieds,” IEEE J. Quantum Electron. 33, 950–954 (1997).
[Crossref]

IEEE J.Quantum Electron. (2)

P. M. Ramos and C. R. Paiva, “All-Optical Pulse Switching in Twin-Core Fiber Couplers with Intermodal Dispersion,” IEEE J.Quantum Electron. 35, 983–989 (1999).
[Crossref]

H. Ghafouri-Shiraz, P. Shum, and M. Nagata, “A Novel Method for Analysis of Soliton Propagation in Optical Fibers,” IEEE J.Quantum Electron. 31, 190–200 (1995).
[Crossref]

Opt. Lett. (1)

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Figures (4)

Fig. 1 (a)
Fig. 1 (a) Propagation of a pulse with C″21=C″12=0 at A=4.0

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Fig. 1(b)
Fig. 1(b) Propagation of a pulse with C″21=C″12=0 at A=4.5

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Fig. 2 (a)
Fig. 2 (a) Propagation of a pulse with C″21=C″12≠0 at A=4.5

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Fig. 2(b)
Fig. 2(b) Propagation of a pulse with C″21=C″12≠0 at A=4.9

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Equations (4)

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

i ( ∂ a 1 ∂ z + 1 v g 1 ∂ a 1 ∂ t + C 12 ' + ∂ a 2 ∂ t ) − k 1 " 2 ∂ 2 a 1 ∂ t 2 + C 12 a 2 − C 12 " 2 ∂ 2 a 2 ∂ t 2 = 0
i ( ∂ a 2 ∂ z + 1 v g 2 ∂ a 2 ∂ t + C 21 ' + ∂ a 1 ∂ t ) − k 2 " 2 ∂ 2 a 2 ∂ t 2 + C 21 a 1 − C 21 " 2 ∂ 2 a 1 ∂ t 2 = 0
i ( ∂ a 1 ∂ Z − t 0 k 2 " ( 1 v g 1 − 1 v g 2 ) ∂ a 1 ∂ T − t 0 C 21 ' k 2 " ∂ a 2 ∂ T ) + 1 2 k 1 " k 2 " ∂ 2 a 1 ∂ T 2 − t 0 2 C 21 k 2 " a 2 + C 21 " 2 k 2 " ∂ 2 a 2 ∂ T 2 + ∣ a 1 ∣ 2 a 1 = 0
i ( ∂ a 2 ∂ Z − t 0 C 21 ' k 2 " ∂ a 1 ∂ T ) + 1 2 ∂ 2 a 2 ∂ T 2 − t 0 2 C 12 k 2 " a 1 + C 12 " ∂ 2 a 1 2 k 2 " ∂ T 2 + ∣ a 2 ∣ 2 a 2 = 0

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