G. Leo, G. Assanto, and W. E. Torruellas, “Beam pointing control with spatial solitary waves in quadratic nonlinear media,” Opt. Commun. 134, 223 (1997).

[CrossRef]

R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, “Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP,” Opt. Lett. 22, 19 (1997).

[CrossRef]
[PubMed]

G. Leo, G. Assanto, and W. E. Torruellas, “Intensity controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22, 7 (1997).

[CrossRef]
[PubMed]

M. Haelterman, S. Trillo, and P. Ferro, “Higher-order self-guided mode solitary waves in diffractive quadratic media,” Opt. Lett. 22, 84 (1997).

[CrossRef]
[PubMed]

L. Torner, J. P. Torres, and C. R. Menyuk, “Fission and self-deflection of spatial solitons by cascading,” Opt. Lett. 21, 462 (1996).

R. Mollame, S. Trillo, and G. Assanto, “Polarization controlled soliton switching in type II second-harmonic generation,” Opt. Lett. 21, 1969 (1996).

[CrossRef]
[PubMed]

B. A. Malomed, D. Anderson, and M. Lisak, “Three-wave interaction solitons in a dispersive medium with quadratic nonlinearity,” Opt. Commun. 126, 251 (1996).

[CrossRef]

A. V. Buryak, Y. S. Kivshar, and S. Trillo, “Stability of three-wave parametric solitons in diffractive quadratic media,” Phys. Rev. Lett. 77, 5210 (1996).

[CrossRef]
[PubMed]

L. Torner and E. M. Wright, “Soliton excitation and mutual locking of light beams in bulk quadratic nonlinear crystals,” J. Opt. Soc. Am. B 13, 864 (1996).

[CrossRef]

D. Mihalache, F. Lederer, D. Mazilu, and L. C. Crasovan, “Multiple-humped bright solitary waves in second-order nonlinear media,” Opt. Eng. 35, 1616 (1996).

[CrossRef]

C. Etrich, U. Peschel, F. Lederer, B. A. Malomed, and Y. S. Kivshar, “Origin of the persistent oscillations of solitary waves in nonlinear quadratic media,” Phys. Rev. E 54, 4321 (1996).

[CrossRef]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68, 1449 (1996).

[CrossRef]

R. Schiek, Y. Baek, and G. I. Stegeman, “One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides,” Phys. Rev. E 53, 1138 (1996).

[CrossRef]

L. Torner, D. Mazilu, and D. Mihalache, “Walking solitons in quadratic nonlinear media,” Phys. Rev. Lett. 77, 2455 (1996).

[CrossRef]
[PubMed]

L. Torner, “Stationary solitary waves with second-order nonlinearities,” Opt. Commun. 114, 136 (1995).

[CrossRef]

D. E. Pelinovsky, A. V. Buryak, and Y. S. Kivshar, “Instabilities of solitons governed by quadratic nonlinearities,” Phys. Rev. Lett. 75, 591 (1995).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).

[CrossRef]
[PubMed]

H. T. Tran, “Self-induced phase matching and three-wave bright spatial solitons in quadratic media,” Opt. Commun. 118, 581 (1995).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).

[CrossRef]

A. V. Buryak, Y. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670 (1995).

[CrossRef]
[PubMed]

V. V. Steblina, Y. S. Kivshar, M. Lisak, and B. A. Malomed, “Self-guided beams in a diffractive χ(2) medium: variational approach,” Opt. Commun. 118, 345 (1995).

[CrossRef]

L. Bergé, V. K. Mezentsev, J. J. Rasmussen, and J. Wyller, “Formation of stable solitons in quadratic nonlinear media,” Phys. Rev. A 52, R28 (1995).

[CrossRef]
[PubMed]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, 3444 (1995).

[CrossRef]

L. Torner, C. R. Menyuk, W. E. Torruellas, and G. I. Stegeman, “Two-dimensional solitons with second-order nonlinearities,” Opt. Lett. 20, 13 (1995).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, L. Torner, and G. I. Stegeman, “Observation of mutual trapping and dragging of two-dimensional spatial solitary waves in a quadratic medium,” Opt. Lett. 20, 1949 (1995).

[CrossRef]
[PubMed]

L. Torner, W. E. Torruellas, G. I. Stegeman, and C. R. Menyuk, “Beam steering by χ(2) trapping,” Opt. Lett. 20, 1952 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, and N. N. Akhmediev, “Stability of spatial solitary waves in quadratic media,” Opt. Lett. 20, 2183 (1995).

[CrossRef]
[PubMed]

D.-M. Baboiu, G. I. Stegeman, and L. Torner, “Interaction of one-dimensional bright solitary waves in quadratic media,” Opt. Lett. 20, 2282 (1995).

[CrossRef]
[PubMed]

L. Torner, C. R. Menyuk, and G. I. Stegeman, “Bright solitons with second-order nonlinearities,” J. Opt. Soc. Am. B 12, 889 (1995).

[CrossRef]

A. V. Buryak and Y. S. Kivshar, “Spatial optical solitons governed by quadratic nonlinearity,” Opt. Lett. 19, 1612 (1994).

[CrossRef]
[PubMed]

L. Torner, C. R. Menyuk, and G. I. Stegeman, “Excitation of solitons with cascaded χ(2) nonlinearities,” Opt. Lett. 19, 1615 (1994).

[CrossRef]
[PubMed]

C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ(2):χ(2) cascading,” J. Opt. Soc. Am. B 11, 234 (1994).

Y. N. Karamzin and A. P. Sukhorukov, “Mutual focusing of high-power light beams in media with quadratic nonlinearity,” Sov. Phys. JETP 41, 414 (1976).

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005 (1965).

[CrossRef]

B. A. Malomed, D. Anderson, and M. Lisak, “Three-wave interaction solitons in a dispersive medium with quadratic nonlinearity,” Opt. Commun. 126, 251 (1996).

[CrossRef]

G. Leo, G. Assanto, and W. E. Torruellas, “Beam pointing control with spatial solitary waves in quadratic nonlinear media,” Opt. Commun. 134, 223 (1997).

[CrossRef]

G. Leo, G. Assanto, and W. E. Torruellas, “Intensity controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22, 7 (1997).

[CrossRef]
[PubMed]

R. Mollame, S. Trillo, and G. Assanto, “Polarization controlled soliton switching in type II second-harmonic generation,” Opt. Lett. 21, 1969 (1996).

[CrossRef]
[PubMed]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68, 1449 (1996).

[CrossRef]

See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49–76.

G. Leo and G. Assanto, “Multiple branching of vectorial spatial solitary waves in quadratic media,” Opt. Commun. (to be published).

See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49–76.

R. Schiek, Y. Baek, and G. I. Stegeman, “One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides,” Phys. Rev. E 53, 1138 (1996).

[CrossRef]

See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49–76.

L. Bergé, V. K. Mezentsev, J. J. Rasmussen, and J. Wyller, “Formation of stable solitons in quadratic nonlinear media,” Phys. Rev. A 52, R28 (1995).

[CrossRef]
[PubMed]

A. V. Buryak, Y. S. Kivshar, and S. Trillo, “Stability of three-wave parametric solitons in diffractive quadratic media,” Phys. Rev. Lett. 77, 5210 (1996).

[CrossRef]
[PubMed]

A. V. Buryak, Y. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670 (1995).

[CrossRef]
[PubMed]

D. E. Pelinovsky, A. V. Buryak, and Y. S. Kivshar, “Instabilities of solitons governed by quadratic nonlinearities,” Phys. Rev. Lett. 75, 591 (1995).

[CrossRef]
[PubMed]

A. V. Buryak and Y. S. Kivshar, “Spatial optical solitons governed by quadratic nonlinearity,” Opt. Lett. 19, 1612 (1994).

[CrossRef]
[PubMed]

D. Mihalache, F. Lederer, D. Mazilu, and L. C. Crasovan, “Multiple-humped bright solitary waves in second-order nonlinear media,” Opt. Eng. 35, 1616 (1996).

[CrossRef]

C. Etrich, U. Peschel, F. Lederer, B. A. Malomed, and Y. S. Kivshar, “Origin of the persistent oscillations of solitary waves in nonlinear quadratic media,” Phys. Rev. E 54, 4321 (1996).

[CrossRef]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, 3444 (1995).

[CrossRef]

R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, “Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP,” Opt. Lett. 22, 19 (1997).

[CrossRef]
[PubMed]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68, 1449 (1996).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).

[CrossRef]
[PubMed]

R. deSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, and E. W. Van Stryland, “Self-focusing and self-defocusing by cascaded second-order effects in KTP,” Opt. Lett. 17, 28 (1992).

[CrossRef]
[PubMed]

See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49–76.

K. Hayata and M. Koshiba, “Multidimensional solitons in quadratic nonlinear media,” Phys. Rev. Lett. 71, 3275 (1993).

[CrossRef]
[PubMed]

Y. N. Karamzin and A. P. Sukhorukov, “Mutual focusing of high-power light beams in media with quadratic nonlinearity,” Sov. Phys. JETP 41, 414 (1976).

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005 (1965).

[CrossRef]

C. Etrich, U. Peschel, F. Lederer, B. A. Malomed, and Y. S. Kivshar, “Origin of the persistent oscillations of solitary waves in nonlinear quadratic media,” Phys. Rev. E 54, 4321 (1996).

[CrossRef]

A. V. Buryak, Y. S. Kivshar, and S. Trillo, “Stability of three-wave parametric solitons in diffractive quadratic media,” Phys. Rev. Lett. 77, 5210 (1996).

[CrossRef]
[PubMed]

V. V. Steblina, Y. S. Kivshar, M. Lisak, and B. A. Malomed, “Self-guided beams in a diffractive χ(2) medium: variational approach,” Opt. Commun. 118, 345 (1995).

[CrossRef]

A. V. Buryak, Y. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670 (1995).

[CrossRef]
[PubMed]

D. E. Pelinovsky, A. V. Buryak, and Y. S. Kivshar, “Instabilities of solitons governed by quadratic nonlinearities,” Phys. Rev. Lett. 75, 591 (1995).

[CrossRef]
[PubMed]

A. V. Buryak and Y. S. Kivshar, “Spatial optical solitons governed by quadratic nonlinearity,” Opt. Lett. 19, 1612 (1994).

[CrossRef]
[PubMed]

K. Hayata and M. Koshiba, “Multidimensional solitons in quadratic nonlinear media,” Phys. Rev. Lett. 71, 3275 (1993).

[CrossRef]
[PubMed]

R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, “Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP,” Opt. Lett. 22, 19 (1997).

[CrossRef]
[PubMed]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68, 1449 (1996).

[CrossRef]

C. Etrich, U. Peschel, F. Lederer, B. A. Malomed, and Y. S. Kivshar, “Origin of the persistent oscillations of solitary waves in nonlinear quadratic media,” Phys. Rev. E 54, 4321 (1996).

[CrossRef]

D. Mihalache, F. Lederer, D. Mazilu, and L. C. Crasovan, “Multiple-humped bright solitary waves in second-order nonlinear media,” Opt. Eng. 35, 1616 (1996).

[CrossRef]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, 3444 (1995).

[CrossRef]

G. Leo, G. Assanto, and W. E. Torruellas, “Beam pointing control with spatial solitary waves in quadratic nonlinear media,” Opt. Commun. 134, 223 (1997).

[CrossRef]

G. Leo, G. Assanto, and W. E. Torruellas, “Intensity controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22, 7 (1997).

[CrossRef]
[PubMed]

G. Leo and G. Assanto, “Multiple branching of vectorial spatial solitary waves in quadratic media,” Opt. Commun. (to be published).

B. A. Malomed, D. Anderson, and M. Lisak, “Three-wave interaction solitons in a dispersive medium with quadratic nonlinearity,” Opt. Commun. 126, 251 (1996).

[CrossRef]

V. V. Steblina, Y. S. Kivshar, M. Lisak, and B. A. Malomed, “Self-guided beams in a diffractive χ(2) medium: variational approach,” Opt. Commun. 118, 345 (1995).

[CrossRef]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, 3444 (1995).

[CrossRef]

C. Etrich, U. Peschel, F. Lederer, B. A. Malomed, and Y. S. Kivshar, “Origin of the persistent oscillations of solitary waves in nonlinear quadratic media,” Phys. Rev. E 54, 4321 (1996).

[CrossRef]

B. A. Malomed, D. Anderson, and M. Lisak, “Three-wave interaction solitons in a dispersive medium with quadratic nonlinearity,” Opt. Commun. 126, 251 (1996).

[CrossRef]

V. V. Steblina, Y. S. Kivshar, M. Lisak, and B. A. Malomed, “Self-guided beams in a diffractive χ(2) medium: variational approach,” Opt. Commun. 118, 345 (1995).

[CrossRef]

D. Mihalache, F. Lederer, D. Mazilu, and L. C. Crasovan, “Multiple-humped bright solitary waves in second-order nonlinear media,” Opt. Eng. 35, 1616 (1996).

[CrossRef]

L. Torner, D. Mazilu, and D. Mihalache, “Walking solitons in quadratic nonlinear media,” Phys. Rev. Lett. 77, 2455 (1996).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, and N. N. Akhmediev, “Stability of spatial solitary waves in quadratic media,” Opt. Lett. 20, 2183 (1995).

[CrossRef]
[PubMed]

L. Torner, J. P. Torres, and C. R. Menyuk, “Fission and self-deflection of spatial solitons by cascading,” Opt. Lett. 21, 462 (1996).

L. Torner, C. R. Menyuk, and G. I. Stegeman, “Bright solitons with second-order nonlinearities,” J. Opt. Soc. Am. B 12, 889 (1995).

[CrossRef]

L. Torner, C. R. Menyuk, W. E. Torruellas, and G. I. Stegeman, “Two-dimensional solitons with second-order nonlinearities,” Opt. Lett. 20, 13 (1995).

[CrossRef]
[PubMed]

L. Torner, W. E. Torruellas, G. I. Stegeman, and C. R. Menyuk, “Beam steering by χ(2) trapping,” Opt. Lett. 20, 1952 (1995).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).

[CrossRef]
[PubMed]

C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ(2):χ(2) cascading,” J. Opt. Soc. Am. B 11, 234 (1994).

L. Torner, C. R. Menyuk, and G. I. Stegeman, “Excitation of solitons with cascaded χ(2) nonlinearities,” Opt. Lett. 19, 1615 (1994).

[CrossRef]
[PubMed]

L. Bergé, V. K. Mezentsev, J. J. Rasmussen, and J. Wyller, “Formation of stable solitons in quadratic nonlinear media,” Phys. Rev. A 52, R28 (1995).

[CrossRef]
[PubMed]

D. Mihalache, F. Lederer, D. Mazilu, and L. C. Crasovan, “Multiple-humped bright solitary waves in second-order nonlinear media,” Opt. Eng. 35, 1616 (1996).

[CrossRef]

L. Torner, D. Mazilu, and D. Mihalache, “Walking solitons in quadratic nonlinear media,” Phys. Rev. Lett. 77, 2455 (1996).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, and N. N. Akhmediev, “Stability of spatial solitary waves in quadratic media,” Opt. Lett. 20, 2183 (1995).

[CrossRef]
[PubMed]

D. E. Pelinovsky, A. V. Buryak, and Y. S. Kivshar, “Instabilities of solitons governed by quadratic nonlinearities,” Phys. Rev. Lett. 75, 591 (1995).

[CrossRef]
[PubMed]

C. Etrich, U. Peschel, F. Lederer, B. A. Malomed, and Y. S. Kivshar, “Origin of the persistent oscillations of solitary waves in nonlinear quadratic media,” Phys. Rev. E 54, 4321 (1996).

[CrossRef]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, 3444 (1995).

[CrossRef]

L. Bergé, V. K. Mezentsev, J. J. Rasmussen, and J. Wyller, “Formation of stable solitons in quadratic nonlinear media,” Phys. Rev. A 52, R28 (1995).

[CrossRef]
[PubMed]

R. Schiek, Y. Baek, and G. I. Stegeman, “One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides,” Phys. Rev. E 53, 1138 (1996).

[CrossRef]

C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ(2):χ(2) cascading,” J. Opt. Soc. Am. B 11, 234 (1994).

See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49–76.

A. V. Buryak, Y. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670 (1995).

[CrossRef]
[PubMed]

V. V. Steblina, Y. S. Kivshar, M. Lisak, and B. A. Malomed, “Self-guided beams in a diffractive χ(2) medium: variational approach,” Opt. Commun. 118, 345 (1995).

[CrossRef]

R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, “Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP,” Opt. Lett. 22, 19 (1997).

[CrossRef]
[PubMed]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68, 1449 (1996).

[CrossRef]

R. Schiek, Y. Baek, and G. I. Stegeman, “One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides,” Phys. Rev. E 53, 1138 (1996).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).

[CrossRef]

D.-M. Baboiu, G. I. Stegeman, and L. Torner, “Interaction of one-dimensional bright solitary waves in quadratic media,” Opt. Lett. 20, 2282 (1995).

[CrossRef]
[PubMed]

L. Torner, W. E. Torruellas, G. I. Stegeman, and C. R. Menyuk, “Beam steering by χ(2) trapping,” Opt. Lett. 20, 1952 (1995).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, L. Torner, and G. I. Stegeman, “Observation of mutual trapping and dragging of two-dimensional spatial solitary waves in a quadratic medium,” Opt. Lett. 20, 1949 (1995).

[CrossRef]
[PubMed]

L. Torner, C. R. Menyuk, W. E. Torruellas, and G. I. Stegeman, “Two-dimensional solitons with second-order nonlinearities,” Opt. Lett. 20, 13 (1995).

[CrossRef]
[PubMed]

L. Torner, C. R. Menyuk, and G. I. Stegeman, “Bright solitons with second-order nonlinearities,” J. Opt. Soc. Am. B 12, 889 (1995).

[CrossRef]

L. Torner, C. R. Menyuk, and G. I. Stegeman, “Excitation of solitons with cascaded χ(2) nonlinearities,” Opt. Lett. 19, 1615 (1994).

[CrossRef]
[PubMed]

See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49–76.

Y. N. Karamzin and A. P. Sukhorukov, “Mutual focusing of high-power light beams in media with quadratic nonlinearity,” Sov. Phys. JETP 41, 414 (1976).

L. Torner, D. Mazilu, and D. Mihalache, “Walking solitons in quadratic nonlinear media,” Phys. Rev. Lett. 77, 2455 (1996).

[CrossRef]
[PubMed]

L. Torner and E. M. Wright, “Soliton excitation and mutual locking of light beams in bulk quadratic nonlinear crystals,” J. Opt. Soc. Am. B 13, 864 (1996).

[CrossRef]

L. Torner, J. P. Torres, and C. R. Menyuk, “Fission and self-deflection of spatial solitons by cascading,” Opt. Lett. 21, 462 (1996).

D.-M. Baboiu, G. I. Stegeman, and L. Torner, “Interaction of one-dimensional bright solitary waves in quadratic media,” Opt. Lett. 20, 2282 (1995).

[CrossRef]
[PubMed]

L. Torner, W. E. Torruellas, G. I. Stegeman, and C. R. Menyuk, “Beam steering by χ(2) trapping,” Opt. Lett. 20, 1952 (1995).

[CrossRef]
[PubMed]

L. Torner, C. R. Menyuk, W. E. Torruellas, and G. I. Stegeman, “Two-dimensional solitons with second-order nonlinearities,” Opt. Lett. 20, 13 (1995).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, L. Torner, and G. I. Stegeman, “Observation of mutual trapping and dragging of two-dimensional spatial solitary waves in a quadratic medium,” Opt. Lett. 20, 1949 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, and N. N. Akhmediev, “Stability of spatial solitary waves in quadratic media,” Opt. Lett. 20, 2183 (1995).

[CrossRef]
[PubMed]

L. Torner, C. R. Menyuk, and G. I. Stegeman, “Bright solitons with second-order nonlinearities,” J. Opt. Soc. Am. B 12, 889 (1995).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).

[CrossRef]

L. Torner, “Stationary solitary waves with second-order nonlinearities,” Opt. Commun. 114, 136 (1995).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).

[CrossRef]
[PubMed]

C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ(2):χ(2) cascading,” J. Opt. Soc. Am. B 11, 234 (1994).

L. Torner, C. R. Menyuk, and G. I. Stegeman, “Excitation of solitons with cascaded χ(2) nonlinearities,” Opt. Lett. 19, 1615 (1994).

[CrossRef]
[PubMed]

See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49–76.

G. Leo, G. Assanto, and W. E. Torruellas, “Intensity controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22, 7 (1997).

[CrossRef]
[PubMed]

R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, “Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP,” Opt. Lett. 22, 19 (1997).

[CrossRef]
[PubMed]

G. Leo, G. Assanto, and W. E. Torruellas, “Beam pointing control with spatial solitary waves in quadratic nonlinear media,” Opt. Commun. 134, 223 (1997).

[CrossRef]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68, 1449 (1996).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).

[CrossRef]
[PubMed]

L. Torner, W. E. Torruellas, G. I. Stegeman, and C. R. Menyuk, “Beam steering by χ(2) trapping,” Opt. Lett. 20, 1952 (1995).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, L. Torner, and G. I. Stegeman, “Observation of mutual trapping and dragging of two-dimensional spatial solitary waves in a quadratic medium,” Opt. Lett. 20, 1949 (1995).

[CrossRef]
[PubMed]

L. Torner, C. R. Menyuk, W. E. Torruellas, and G. I. Stegeman, “Two-dimensional solitons with second-order nonlinearities,” Opt. Lett. 20, 13 (1995).

[CrossRef]
[PubMed]

See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49–76.

H. T. Tran, “Self-induced phase matching and three-wave bright spatial solitons in quadratic media,” Opt. Commun. 118, 581 (1995).

[CrossRef]

M. Haelterman, S. Trillo, and P. Ferro, “Higher-order self-guided mode solitary waves in diffractive quadratic media,” Opt. Lett. 22, 84 (1997).

[CrossRef]
[PubMed]

R. Mollame, S. Trillo, and G. Assanto, “Polarization controlled soliton switching in type II second-harmonic generation,” Opt. Lett. 21, 1969 (1996).

[CrossRef]
[PubMed]

A. V. Buryak, Y. S. Kivshar, and S. Trillo, “Stability of three-wave parametric solitons in diffractive quadratic media,” Phys. Rev. Lett. 77, 5210 (1996).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).

[CrossRef]
[PubMed]

R. deSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, and E. W. Van Stryland, “Self-focusing and self-defocusing by cascaded second-order effects in KTP,” Opt. Lett. 17, 28 (1992).

[CrossRef]
[PubMed]

See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49–76.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, L. Torner, and G. I. Stegeman, “Observation of mutual trapping and dragging of two-dimensional spatial solitary waves in a quadratic medium,” Opt. Lett. 20, 1949 (1995).

[CrossRef]
[PubMed]

See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49–76.

L. Torner and E. M. Wright, “Soliton excitation and mutual locking of light beams in bulk quadratic nonlinear crystals,” J. Opt. Soc. Am. B 13, 864 (1996).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).

[CrossRef]

L. Bergé, V. K. Mezentsev, J. J. Rasmussen, and J. Wyller, “Formation of stable solitons in quadratic nonlinear media,” Phys. Rev. A 52, R28 (1995).

[CrossRef]
[PubMed]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, “All-optical switching by spatial walk-off compensation and solitary-wave locking,” Appl. Phys. Lett. 68, 1449 (1996).

[CrossRef]

L. Torner and E. M. Wright, “Soliton excitation and mutual locking of light beams in bulk quadratic nonlinear crystals,” J. Opt. Soc. Am. B 13, 864 (1996).

[CrossRef]

M. J. Werner and P. D. Drummond, “Simulton solutions for the parametric amplifier,” J. Opt. Soc. Am. B 10, 2390 (1993); “Strongly coupled nonlinear parametric solitary waves,” Opt. Lett. 19, 613 (1994).

[CrossRef]
[PubMed]

C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ(2):χ(2) cascading,” J. Opt. Soc. Am. B 11, 234 (1994).

L. Torner, C. R. Menyuk, and G. I. Stegeman, “Bright solitons with second-order nonlinearities,” J. Opt. Soc. Am. B 12, 889 (1995).

[CrossRef]

L. Torner, “Stationary solitary waves with second-order nonlinearities,” Opt. Commun. 114, 136 (1995).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).

[CrossRef]

V. V. Steblina, Y. S. Kivshar, M. Lisak, and B. A. Malomed, “Self-guided beams in a diffractive χ(2) medium: variational approach,” Opt. Commun. 118, 345 (1995).

[CrossRef]

H. T. Tran, “Self-induced phase matching and three-wave bright spatial solitons in quadratic media,” Opt. Commun. 118, 581 (1995).

[CrossRef]

B. A. Malomed, D. Anderson, and M. Lisak, “Three-wave interaction solitons in a dispersive medium with quadratic nonlinearity,” Opt. Commun. 126, 251 (1996).

[CrossRef]

G. Leo, G. Assanto, and W. E. Torruellas, “Beam pointing control with spatial solitary waves in quadratic nonlinear media,” Opt. Commun. 134, 223 (1997).

[CrossRef]

D. Mihalache, F. Lederer, D. Mazilu, and L. C. Crasovan, “Multiple-humped bright solitary waves in second-order nonlinear media,” Opt. Eng. 35, 1616 (1996).

[CrossRef]

M. Haelterman, S. Trillo, and P. Ferro, “Higher-order self-guided mode solitary waves in diffractive quadratic media,” Opt. Lett. 22, 84 (1997).

[CrossRef]
[PubMed]

L. Torner, W. E. Torruellas, G. I. Stegeman, and C. R. Menyuk, “Beam steering by χ(2) trapping,” Opt. Lett. 20, 1952 (1995).

[CrossRef]
[PubMed]

L. Torner, J. P. Torres, and C. R. Menyuk, “Fission and self-deflection of spatial solitons by cascading,” Opt. Lett. 21, 462 (1996).

R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, “Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP,” Opt. Lett. 22, 19 (1997).

[CrossRef]
[PubMed]

D.-M. Baboiu, G. I. Stegeman, and L. Torner, “Interaction of one-dimensional bright solitary waves in quadratic media,” Opt. Lett. 20, 2282 (1995).

[CrossRef]
[PubMed]

L. Torner, C. R. Menyuk, W. E. Torruellas, and G. I. Stegeman, “Two-dimensional solitons with second-order nonlinearities,” Opt. Lett. 20, 13 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, and N. N. Akhmediev, “Stability of spatial solitary waves in quadratic media,” Opt. Lett. 20, 2183 (1995).

[CrossRef]
[PubMed]

A. V. Buryak and Y. S. Kivshar, “Spatial optical solitons governed by quadratic nonlinearity,” Opt. Lett. 19, 1612 (1994).

[CrossRef]
[PubMed]

L. Torner, C. R. Menyuk, and G. I. Stegeman, “Excitation of solitons with cascaded χ(2) nonlinearities,” Opt. Lett. 19, 1615 (1994).

[CrossRef]
[PubMed]

R. deSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, and E. W. Van Stryland, “Self-focusing and self-defocusing by cascaded second-order effects in KTP,” Opt. Lett. 17, 28 (1992).

[CrossRef]
[PubMed]

G. Leo, G. Assanto, and W. E. Torruellas, “Intensity controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22, 7 (1997).

[CrossRef]
[PubMed]

R. Mollame, S. Trillo, and G. Assanto, “Polarization controlled soliton switching in type II second-harmonic generation,” Opt. Lett. 21, 1969 (1996).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, L. Torner, and G. I. Stegeman, “Observation of mutual trapping and dragging of two-dimensional spatial solitary waves in a quadratic medium,” Opt. Lett. 20, 1949 (1995).

[CrossRef]
[PubMed]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, 3444 (1995).

[CrossRef]

L. Bergé, V. K. Mezentsev, J. J. Rasmussen, and J. Wyller, “Formation of stable solitons in quadratic nonlinear media,” Phys. Rev. A 52, R28 (1995).

[CrossRef]
[PubMed]

A. V. Buryak, Y. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670 (1995).

[CrossRef]
[PubMed]

C. Etrich, U. Peschel, F. Lederer, B. A. Malomed, and Y. S. Kivshar, “Origin of the persistent oscillations of solitary waves in nonlinear quadratic media,” Phys. Rev. E 54, 4321 (1996).

[CrossRef]

R. Schiek, Y. Baek, and G. I. Stegeman, “One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides,” Phys. Rev. E 53, 1138 (1996).

[CrossRef]

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005 (1965).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).

[CrossRef]
[PubMed]

K. Hayata and M. Koshiba, “Multidimensional solitons in quadratic nonlinear media,” Phys. Rev. Lett. 71, 3275 (1993).

[CrossRef]
[PubMed]

D. E. Pelinovsky, A. V. Buryak, and Y. S. Kivshar, “Instabilities of solitons governed by quadratic nonlinearities,” Phys. Rev. Lett. 75, 591 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mazilu, and D. Mihalache, “Walking solitons in quadratic nonlinear media,” Phys. Rev. Lett. 77, 2455 (1996).

[CrossRef]
[PubMed]

A. V. Buryak, Y. S. Kivshar, and S. Trillo, “Stability of three-wave parametric solitons in diffractive quadratic media,” Phys. Rev. Lett. 77, 5210 (1996).

[CrossRef]
[PubMed]

Y. N. Karamzin and A. P. Sukhorukov, “Mutual focusing of high-power light beams in media with quadratic nonlinearity,” Sov. Phys. JETP 41, 414 (1976).

See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49–76.

G. Leo and G. Assanto, “Multiple branching of vectorial spatial solitary waves in quadratic media,” Opt. Commun. (to be published).