Abstract

We report experimental evidence of soliton reflection at the boundary of quadratic nonlinear media. The evolution of beams incident upon the interface of periodically poled LiNbO3 and uniform LiNbO3 is considered; in the whole device the linear refractive index is homogeneous. Linear beam transmission and soliton reflection at the nonlinear phase-mismatched boundary were observed. Numerical simulations that correspond to the experiments are also presented.

© 2004 Optical Society of America

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  1. N. Bloembergen and P. S. Pershan, Phys. Rev. 128, 606 (1962).
    [Crossref]
  2. A. D. Capobianco, C. De Angelis, A. Laureti Palma, and G. Nalesso, J. Opt. Soc. Am. B 14, 1956 (1997).
    [Crossref]
  3. V. Shadrivov and A. A. Zharov, J. Opt. Soc. Am. B 19, 596 (2002).
    [Crossref]
  4. A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
    [Crossref] [PubMed]
  5. Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
    [Crossref] [PubMed]
  6. P. Dumais, A. Villeneuve, A. Saher-Helm, J. S. Aitchison, L. Friedrich, R. A. Fuerst, and G. I. Stegeman, Opt. Lett. 25, 1282 (2000).
    [Crossref]
  7. E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
    [Crossref]
  8. C. Balslev Clausen and L. Torner, Phys. Rev. Lett. 81, 790 (1998).
    [Crossref]
  9. F. Baronio and C. De Angelis, IEEE J. Quantum Electron. 38, 1309 (2002).
    [Crossref]
  10. F. Baronio, C. De Angelis, P. Pioger, V. Couderc, A. Barthelemy, Y. Min, V. Quiring, and W. Sohler, Opt. Lett. 28, 2348 (2003).
    [Crossref] [PubMed]
  11. P. Pioger, V. Couderc, L. Grossard, A. Barthelemy, F. Baronio, and C. De Angelis, presented at the European Quantum Electronics Conference, Munich, Germany, June 22–27, 2003.

2003 (1)

2002 (2)

F. Baronio and C. De Angelis, IEEE J. Quantum Electron. 38, 1309 (2002).
[Crossref]

V. Shadrivov and A. A. Zharov, J. Opt. Soc. Am. B 19, 596 (2002).
[Crossref]

2001 (1)

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

2000 (1)

1998 (1)

C. Balslev Clausen and L. Torner, Phys. Rev. Lett. 81, 790 (1998).
[Crossref]

1997 (1)

1990 (1)

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[Crossref] [PubMed]

1989 (1)

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[Crossref] [PubMed]

1962 (1)

N. Bloembergen and P. S. Pershan, Phys. Rev. 128, 606 (1962).
[Crossref]

Aceves, A. B.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[Crossref] [PubMed]

Aitchison, J. S.

Alvarado-Méndez, E.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

Andrade-Lucio, J. A.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

Avina-Cervantes, J. G.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

Balslev Clausen, C.

C. Balslev Clausen and L. Torner, Phys. Rev. Lett. 81, 790 (1998).
[Crossref]

Baronio, F.

F. Baronio, C. De Angelis, P. Pioger, V. Couderc, A. Barthelemy, Y. Min, V. Quiring, and W. Sohler, Opt. Lett. 28, 2348 (2003).
[Crossref] [PubMed]

F. Baronio and C. De Angelis, IEEE J. Quantum Electron. 38, 1309 (2002).
[Crossref]

P. Pioger, V. Couderc, L. Grossard, A. Barthelemy, F. Baronio, and C. De Angelis, presented at the European Quantum Electronics Conference, Munich, Germany, June 22–27, 2003.

Barthelemy, A.

F. Baronio, C. De Angelis, P. Pioger, V. Couderc, A. Barthelemy, Y. Min, V. Quiring, and W. Sohler, Opt. Lett. 28, 2348 (2003).
[Crossref] [PubMed]

P. Pioger, V. Couderc, L. Grossard, A. Barthelemy, F. Baronio, and C. De Angelis, presented at the European Quantum Electronics Conference, Munich, Germany, June 22–27, 2003.

Bloembergen, N.

N. Bloembergen and P. S. Pershan, Phys. Rev. 128, 606 (1962).
[Crossref]

Capobianco, A. D.

Chubykalo, O. A.

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[Crossref] [PubMed]

Couderc, V.

F. Baronio, C. De Angelis, P. Pioger, V. Couderc, A. Barthelemy, Y. Min, V. Quiring, and W. Sohler, Opt. Lett. 28, 2348 (2003).
[Crossref] [PubMed]

P. Pioger, V. Couderc, L. Grossard, A. Barthelemy, F. Baronio, and C. De Angelis, presented at the European Quantum Electronics Conference, Munich, Germany, June 22–27, 2003.

De Angelis, C.

F. Baronio, C. De Angelis, P. Pioger, V. Couderc, A. Barthelemy, Y. Min, V. Quiring, and W. Sohler, Opt. Lett. 28, 2348 (2003).
[Crossref] [PubMed]

F. Baronio and C. De Angelis, IEEE J. Quantum Electron. 38, 1309 (2002).
[Crossref]

A. D. Capobianco, C. De Angelis, A. Laureti Palma, and G. Nalesso, J. Opt. Soc. Am. B 14, 1956 (1997).
[Crossref]

P. Pioger, V. Couderc, L. Grossard, A. Barthelemy, F. Baronio, and C. De Angelis, presented at the European Quantum Electronics Conference, Munich, Germany, June 22–27, 2003.

Dumais, P.

Friedrich, L.

Fuerst, R. A.

Grossard, L.

P. Pioger, V. Couderc, L. Grossard, A. Barthelemy, F. Baronio, and C. De Angelis, presented at the European Quantum Electronics Conference, Munich, Germany, June 22–27, 2003.

Kivshar, Y. S.

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[Crossref] [PubMed]

Kosevich, A. M.

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[Crossref] [PubMed]

Kuzin, E. A.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

Laureti Palma, A.

Min, Y.

Moloney, J. V.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[Crossref] [PubMed]

Nalesso, G.

Newell, A. C.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[Crossref] [PubMed]

Pedraza-Ortega, J. C.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

Pershan, P. S.

N. Bloembergen and P. S. Pershan, Phys. Rev. 128, 606 (1962).
[Crossref]

Pioger, P.

F. Baronio, C. De Angelis, P. Pioger, V. Couderc, A. Barthelemy, Y. Min, V. Quiring, and W. Sohler, Opt. Lett. 28, 2348 (2003).
[Crossref] [PubMed]

P. Pioger, V. Couderc, L. Grossard, A. Barthelemy, F. Baronio, and C. De Angelis, presented at the European Quantum Electronics Conference, Munich, Germany, June 22–27, 2003.

Quiring, V.

Rojas-Laguna, R.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

Saher-Helm, A.

Sánchez-Mondragón, J. J.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

Shadrivov, V.

Sohler, W.

Stegeman, G. I.

Torner, L.

C. Balslev Clausen and L. Torner, Phys. Rev. Lett. 81, 790 (1998).
[Crossref]

Torres-Cisneros, M.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

Villeneuve, A.

Vysloukh, V.

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

Zharov, A. A.

IEEE J. Quantum Electron. (1)

F. Baronio and C. De Angelis, IEEE J. Quantum Electron. 38, 1309 (2002).
[Crossref]

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

E. Alvarado-Méndez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sánchez-Mondragón, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[Crossref]

Opt. Lett. (2)

Phys. Rev. (1)

N. Bloembergen and P. S. Pershan, Phys. Rev. 128, 606 (1962).
[Crossref]

Phys. Rev. A (2)

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[Crossref] [PubMed]

Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[Crossref] [PubMed]

Phys. Rev. Lett. (1)

C. Balslev Clausen and L. Torner, Phys. Rev. Lett. 81, 790 (1998).
[Crossref]

Other (1)

P. Pioger, V. Couderc, L. Grossard, A. Barthelemy, F. Baronio, and C. De Angelis, presented at the European Quantum Electronics Conference, Munich, Germany, June 22–27, 2003.

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Figures (3)

Fig. 1
Fig. 1

Illustration of the device geometry: a LiNbO3 region interfaced to a PPLN region. Dark and white areas represent different signs of the second-order nonlinearity χ2.

Fig. 2
Fig. 2

Numerical output beam profiles: left, FF and right, SH, taken at T210 C° (ΔkL=5π in the PPLN region and ΔkL-6000π in the unpoled region) with increasing input intensity I. The input displacement is -30 µm, and the input angle is 0.5° with respect to the interface. Top, quasi-linear regime I=0.05 GW/cm2; middle, intermediate regime I=0.5 GW/cm2; bottom, nonlinear regime I=1.5 GW/cm2. Insets, FF beam evolution in the x,y plane.

Fig. 3
Fig. 3

Experimental output beam profiles: left, FF and right, SH, taken at T=210 C° with increasing input intensity I. The input displacement is -30 µm and the input angle is 0.5° with respect to the interface. Top, quasi-linear regime I=0.05 GW/cm2; middle, intermediate regime I=0.5 GW/cm2; bottom, nonlinear regime I=1.5 GW/cm2.

Equations (2)

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

jwy+12βFF2wx2+2wz2+χ2πλFFnFFvw*×exp-jΔky=0, jvy+12βSH2vx2+2vz2+χ2πλSHnSHw2×expjΔky=0,
Δkx=2βFF-βSH+2π/Λx02βFF-βSHx>0, χ2x=2/πχzzz2x0χzzz2x>0.

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