Abstract

The effects of refractive anisotropy and induced birefringence on spatial soliton collisions in an AlGaAs slab waveguide are studied for the two crystal-growth planes [001] and [111]. A detailed numerical study of the interaction dynamics as a function of crystal orientation and for varying degrees of linear birefringence is reported. The anisotropic nonlinear regime is studied in the context of soliton interactions, and the dependence of phase-mismatched parametric processes on linear birefringence is used to propose a novel birefringence-managed switching architecture.

© 2004 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]

2002 (1)

N.-C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. 4, R53–R68 (2002).

1999 (2)

N. C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in fibres for a dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[CrossRef]

S. Blair and K. Wagner, “Spatial soliton angular deflection logic gates,” Appl. Opt. 38, 6749–6772 (1999).
[CrossRef]

1997 (2)

D. C. Hutchings, J. S. Aitchison, and J. M. Arnold, “Nonlinear refractive coupling and vector solitons in anisotropic cubic media,” J. Opt. Soc. Am. B 14, 869–879 (1997).
[CrossRef]

J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, “The nonlinear optical properties of AlGaAs at the half band gap,” IEEE J. Quantum Electron. 33, 341–348 (1997).
[CrossRef]

1996 (2)

J. U. Kang, G. I. Stegeman, and J. S. Aitchison, “One-dimensional spatial soliton dragging, trapping, and all-optical switching in AlGaAs waveguides,” Opt. Lett. 21, 189–191 (1996).
[CrossRef] [PubMed]

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef] [PubMed]

1994 (1)

1993 (1)

N. Akhmediev and A. Ankiewicz, “Spatial soliton X-junctions and couplers,” Opt. Commun. 100, 186–192 (1993).
[CrossRef]

1989 (1)

1974 (1)

S. V. Manakov, “On the theory of two-dimensional stationary self-focusing of electromagnetic waves,” Sov. Phys. JETP 38, 248 (1974).

Aitchison, J. S.

J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, “The nonlinear optical properties of AlGaAs at the half band gap,” IEEE J. Quantum Electron. 33, 341–348 (1997).
[CrossRef]

D. C. Hutchings, J. S. Aitchison, and J. M. Arnold, “Nonlinear refractive coupling and vector solitons in anisotropic cubic media,” J. Opt. Soc. Am. B 14, 869–879 (1997).
[CrossRef]

J. U. Kang, G. I. Stegeman, and J. S. Aitchison, “One-dimensional spatial soliton dragging, trapping, and all-optical switching in AlGaAs waveguides,” Opt. Lett. 21, 189–191 (1996).
[CrossRef] [PubMed]

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef] [PubMed]

Akhmediev, N.

N. Akhmediev and A. Ankiewicz, “Spatial soliton X-junctions and couplers,” Opt. Commun. 100, 186–192 (1993).
[CrossRef]

Akhmediev, N. N.

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef] [PubMed]

Ankiewicz, A.

N. Akhmediev and A. Ankiewicz, “Spatial soliton X-junctions and couplers,” Opt. Commun. 100, 186–192 (1993).
[CrossRef]

Arnold, J. M.

Blair, S.

Cao, X. D.

Etrich, C.

N.-C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. 4, R53–R68 (2002).

N. C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in fibres for a dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[CrossRef]

Gordon, J. P.

Hutchings, D. C.

D. C. Hutchings, J. S. Aitchison, and J. M. Arnold, “Nonlinear refractive coupling and vector solitons in anisotropic cubic media,” J. Opt. Soc. Am. B 14, 869–879 (1997).
[CrossRef]

J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, “The nonlinear optical properties of AlGaAs at the half band gap,” IEEE J. Quantum Electron. 33, 341–348 (1997).
[CrossRef]

Islam, M. N.

Kang, J. U.

J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, “The nonlinear optical properties of AlGaAs at the half band gap,” IEEE J. Quantum Electron. 33, 341–348 (1997).
[CrossRef]

J. U. Kang, G. I. Stegeman, and J. S. Aitchison, “One-dimensional spatial soliton dragging, trapping, and all-optical switching in AlGaAs waveguides,” Opt. Lett. 21, 189–191 (1996).
[CrossRef] [PubMed]

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef] [PubMed]

Lederer, F.

N.-C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. 4, R53–R68 (2002).

N. C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in fibres for a dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[CrossRef]

Manakov, S. V.

S. V. Manakov, “On the theory of two-dimensional stationary self-focusing of electromagnetic waves,” Sov. Phys. JETP 38, 248 (1974).

Mel’nikov, I. V.

N.-C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. 4, R53–R68 (2002).

N. C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in fibres for a dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[CrossRef]

Meyerhofer, D. D.

Mihalache, D.

N.-C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. 4, R53–R68 (2002).

N. C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in fibres for a dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[CrossRef]

Panoiu, N. C.

N. C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in fibres for a dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[CrossRef]

Panoiu, N.-C.

N.-C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. 4, R53–R68 (2002).

Poole, C. D.

Stegeman, G. I.

J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, “The nonlinear optical properties of AlGaAs at the half band gap,” IEEE J. Quantum Electron. 33, 341–348 (1997).
[CrossRef]

J. U. Kang, G. I. Stegeman, and J. S. Aitchison, “One-dimensional spatial soliton dragging, trapping, and all-optical switching in AlGaAs waveguides,” Opt. Lett. 21, 189–191 (1996).
[CrossRef] [PubMed]

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef] [PubMed]

Villeneuve, A.

J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, “The nonlinear optical properties of AlGaAs at the half band gap,” IEEE J. Quantum Electron. 33, 341–348 (1997).
[CrossRef]

Wagner, K.

Appl. Opt. (1)

IEEE J. Quantum Electron. (1)

J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, “The nonlinear optical properties of AlGaAs at the half band gap,” IEEE J. Quantum Electron. 33, 341–348 (1997).
[CrossRef]

J. Opt. (1)

N.-C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. 4, R53–R68 (2002).

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

Opt. Commun. (1)

N. Akhmediev and A. Ankiewicz, “Spatial soliton X-junctions and couplers,” Opt. Commun. 100, 186–192 (1993).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. E (1)

N. C. Panoiu, I. V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in fibres for a dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[CrossRef]

Phys. Rev. Lett. (1)

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef] [PubMed]

Sov. Phys. JETP (1)

S. V. Manakov, “On the theory of two-dimensional stationary self-focusing of electromagnetic waves,” Sov. Phys. JETP 38, 248 (1974).

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Figures (5)

Fig. 1
Fig. 1

Collision of TE and TM solitons at angles (a) 0.10° and (b) 0.14°.

Fig. 2
Fig. 2

Soliton collision in an AlGaAs slab waveguide with linear birefringence (i) Δn=-0.00016 and (ii) Δn=0. Shown are beam paths for (a) TE beam, (b) TM beam.

Fig. 3
Fig. 3

Beam cross sections after 0.15° collisions with relative initial phases varying from 0 to 2π (zero birefringence).

Fig. 4
Fig. 4

(a) TE and (b) TM solitons colliding at 0.30° in a 7.2-cm-long AlGaAs slab waveguide grown along the [111] crystal plane.

Fig. 5
Fig. 5

Contour plot of a TE soliton colliding with a TM soliton (not shown) in the case of (a) Δn=0, (b) Δn=-0.00016.

Equations (5)

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

ξpz=i c2ωn2l[001] 2ξpx2-i Δk2ξp+i ωn2L[001]c 1+σi|pi|4-1|ξp|2ξp+1-δ+σ2i|pi|2|qi|2-12|ξq|2ξp+δ+σi(pi*)2qi2-12ξq2ξp*+σipi*qi|qi|2|ξq|2ξq+2σipi*qi|pi|2|ξp|2ξq+σiqi*pi|pi|2ξp2ξq*.
ξpz=i c2ωn2L[001] 2ξpx2-i Δk2ξp+ωn2L[001]c×(1.27|ξq|2ξp+1.09|ξq|2ξq+0.45ξq2ξp*),
ξqz=i c2ωn2L[001] 2ξqx2+i Δk2ξq+ωn2L[001]c×(|ξq|2ξq+1.09|ξp|2ξp+0.45ξp2ξq*).
ξpz=i c2ωn2L[001] 2ξpx2-i Δk2ξp+ωn2L[001]c(1.27|ξp|2ξp+0.73|ξq|2ξq+0.58ξq2ξp*+0.13ξp2ξq*+0.24|ξp|2ξq),
ξqz=i c2ωn2L[001] 2ξqx2+i Δk2ξq+ωn2L[001]c(1.36|ξq|2ξq+0.73|ξp|2ξp+0.45ξp2ξq*+0.13|ξp|2ξp).

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