L. Lucchetti, S. Suchand, and F. Simoni, “Fine structure in spatial self-phase
modulation patterns: at a glance determination of the sign of optical nonlinearity
in highly nonlinear films,” J. Opt. A, Pure Appl.
Opt. 11(3), 034002 (2009).
[Crossref]
C. M. Nascimento, M. Alencar, S. Chávez-Cerda, M. Da Silva, M. R. Meneghetti, and J. M. Hickmann, “Experimental demonstration of novel effects
on the far-field diffraction patterns of a Gaussian beam in a Kerr
medium,” J. Opt. A, Pure Appl. Opt. 8(11), 947–951 (2006).
[Crossref]
L. Deng, K. He, T. Zhou, and C. Li, “Formation and evolution of far-field
diffraction patterns of divergent and convergent Gaussian beams passing through
self-focusing and self-defocusing media,” J. Opt.
A, Pure Appl. Opt. 7(8), 409–415 (2005).
[Crossref]
W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, ““Modulational instability, solitons
and beam propagation in spatially nonlocal nonlinear
media,” J. Opt. B Quantum Semiclass. Opt. 6, S288–S294 (2004).
A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, “Creation of a hollow laser beam using
self-phase modulation in a nematic liquid crystal,” Opt. Commun. 232(1-6), 77–82 (2004).
[Crossref]
S. Brugioni and R. Meucci, “Self-phase modulation in a nematic liquid
crystal film induced by a low-power CO2 laser,” Opt. Commun. 206(4-6), 445–451 (2002).
[Crossref]
W. Królikowski and O. Bang, “Solitons in nonlocal nonlinear media: Exact
solutions,” Phys. Rev. E Stat. Phys. Plasmas
Fluids Relat. Interdiscip. Topics 63(1), 016610 (2000).
[Crossref]
D. Yu, W. Lu, R. G. Harrison, and N. N. Rosanov, “Analysis of dark spot formation in absorbing
liquid media,” J. Mod. Opt. 45, 2597–2606 (1998).
[Crossref]
R. G. Harrison, L. Dambly, D. Yu, and W. Lu, “A new self-diffraction pattern formation in
defocusing liquid media,” Opt. Commun. 139(1-3), 69–72 (1997).
[Crossref]
D. Suter and T. Blasberg, “Stabilization of transverse solitary waves
by a nonlocal response of the nonlinear medium,” Phys. Rev. A 48(6), 4583–4587 (1993).
[Crossref]
[PubMed]
M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive
media,” Phys. Rev. Lett. 68(7), 923–926 (1992).
[Crossref]
[PubMed]
F. W. Dabby, T. K. Gustafson, J. R. Whinnery, and Y. Kohanzadeh, “Thermally self-induced phase modulation of
laser beam,” Appl. Phys. Lett. 16(9), 362–365 (1970).
[Crossref]
F. W. Dabby and J. R. Whinnery, “Thermal self-focusing of laser beams in lead
glasses,” Appl. Phys. Lett. 13(8), 284–286 (1968).
[Crossref]
S. A. Akhmanov, D. P. Krindach, A. P. Sukhorukov, and R. V. Khokhlov, “Nonlinear defocusing of laser
beams,” JEPT Lett. 6, 38 (1967).
W. R. Callen, B. G. Huth, and R. H. Pantell, “Optical patterns of thermally self-defocused
light,” Appl. Phys. Lett. 11(3), 103–105 (1967).
[Crossref]
S. A. Akhmanov, D. P. Krindach, A. P. Sukhorukov, and R. V. Khokhlov, “Nonlinear defocusing of laser
beams,” JEPT Lett. 6, 38 (1967).
C. M. Nascimento, M. Alencar, S. Chávez-Cerda, M. Da Silva, M. R. Meneghetti, and J. M. Hickmann, “Experimental demonstration of novel effects
on the far-field diffraction patterns of a Gaussian beam in a Kerr
medium,” J. Opt. A, Pure Appl. Opt. 8(11), 947–951 (2006).
[Crossref]
W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, ““Modulational instability, solitons
and beam propagation in spatially nonlocal nonlinear
media,” J. Opt. B Quantum Semiclass. Opt. 6, S288–S294 (2004).
W. Królikowski and O. Bang, “Solitons in nonlocal nonlinear media: Exact
solutions,” Phys. Rev. E Stat. Phys. Plasmas
Fluids Relat. Interdiscip. Topics 63(1), 016610 (2000).
[Crossref]
D. Suter and T. Blasberg, “Stabilization of transverse solitary waves
by a nonlocal response of the nonlinear medium,” Phys. Rev. A 48(6), 4583–4587 (1993).
[Crossref]
[PubMed]
S. Brugioni and R. Meucci, “Self-phase modulation in a nematic liquid
crystal film induced by a low-power CO2 laser,” Opt. Commun. 206(4-6), 445–451 (2002).
[Crossref]
A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, “Creation of a hollow laser beam using
self-phase modulation in a nematic liquid crystal,” Opt. Commun. 232(1-6), 77–82 (2004).
[Crossref]
W. R. Callen, B. G. Huth, and R. H. Pantell, “Optical patterns of thermally self-defocused
light,” Appl. Phys. Lett. 11(3), 103–105 (1967).
[Crossref]
C. M. Nascimento, M. Alencar, S. Chávez-Cerda, M. Da Silva, M. R. Meneghetti, and J. M. Hickmann, “Experimental demonstration of novel effects
on the far-field diffraction patterns of a Gaussian beam in a Kerr
medium,” J. Opt. A, Pure Appl. Opt. 8(11), 947–951 (2006).
[Crossref]
M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive
media,” Phys. Rev. Lett. 68(7), 923–926 (1992).
[Crossref]
[PubMed]
C. M. Nascimento, M. Alencar, S. Chávez-Cerda, M. Da Silva, M. R. Meneghetti, and J. M. Hickmann, “Experimental demonstration of novel effects
on the far-field diffraction patterns of a Gaussian beam in a Kerr
medium,” J. Opt. A, Pure Appl. Opt. 8(11), 947–951 (2006).
[Crossref]
F. W. Dabby, T. K. Gustafson, J. R. Whinnery, and Y. Kohanzadeh, “Thermally self-induced phase modulation of
laser beam,” Appl. Phys. Lett. 16(9), 362–365 (1970).
[Crossref]
F. W. Dabby and J. R. Whinnery, “Thermal self-focusing of laser beams in lead
glasses,” Appl. Phys. Lett. 13(8), 284–286 (1968).
[Crossref]
R. G. Harrison, L. Dambly, D. Yu, and W. Lu, “A new self-diffraction pattern formation in
defocusing liquid media,” Opt. Commun. 139(1-3), 69–72 (1997).
[Crossref]
L. Deng, K. He, T. Zhou, and C. Li, “Formation and evolution of far-field
diffraction patterns of divergent and convergent Gaussian beams passing through
self-focusing and self-defocusing media,” J. Opt.
A, Pure Appl. Opt. 7(8), 409–415 (2005).
[Crossref]
W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, ““Modulational instability, solitons
and beam propagation in spatially nonlocal nonlinear
media,” J. Opt. B Quantum Semiclass. Opt. 6, S288–S294 (2004).
M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive
media,” Phys. Rev. Lett. 68(7), 923–926 (1992).
[Crossref]
[PubMed]
F. W. Dabby, T. K. Gustafson, J. R. Whinnery, and Y. Kohanzadeh, “Thermally self-induced phase modulation of
laser beam,” Appl. Phys. Lett. 16(9), 362–365 (1970).
[Crossref]
D. Yu, W. Lu, R. G. Harrison, and N. N. Rosanov, “Analysis of dark spot formation in absorbing
liquid media,” J. Mod. Opt. 45, 2597–2606 (1998).
[Crossref]
R. G. Harrison, L. Dambly, D. Yu, and W. Lu, “A new self-diffraction pattern formation in
defocusing liquid media,” Opt. Commun. 139(1-3), 69–72 (1997).
[Crossref]
L. Deng, K. He, T. Zhou, and C. Li, “Formation and evolution of far-field
diffraction patterns of divergent and convergent Gaussian beams passing through
self-focusing and self-defocusing media,” J. Opt.
A, Pure Appl. Opt. 7(8), 409–415 (2005).
[Crossref]
C. M. Nascimento, M. Alencar, S. Chávez-Cerda, M. Da Silva, M. R. Meneghetti, and J. M. Hickmann, “Experimental demonstration of novel effects
on the far-field diffraction patterns of a Gaussian beam in a Kerr
medium,” J. Opt. A, Pure Appl. Opt. 8(11), 947–951 (2006).
[Crossref]
W. R. Callen, B. G. Huth, and R. H. Pantell, “Optical patterns of thermally self-defocused
light,” Appl. Phys. Lett. 11(3), 103–105 (1967).
[Crossref]
A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, “Creation of a hollow laser beam using
self-phase modulation in a nematic liquid crystal,” Opt. Commun. 232(1-6), 77–82 (2004).
[Crossref]
S. A. Akhmanov, D. P. Krindach, A. P. Sukhorukov, and R. V. Khokhlov, “Nonlinear defocusing of laser
beams,” JEPT Lett. 6, 38 (1967).
F. W. Dabby, T. K. Gustafson, J. R. Whinnery, and Y. Kohanzadeh, “Thermally self-induced phase modulation of
laser beam,” Appl. Phys. Lett. 16(9), 362–365 (1970).
[Crossref]
S. A. Akhmanov, D. P. Krindach, A. P. Sukhorukov, and R. V. Khokhlov, “Nonlinear defocusing of laser
beams,” JEPT Lett. 6, 38 (1967).
W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, ““Modulational instability, solitons
and beam propagation in spatially nonlocal nonlinear
media,” J. Opt. B Quantum Semiclass. Opt. 6, S288–S294 (2004).
W. Królikowski and O. Bang, “Solitons in nonlocal nonlinear media: Exact
solutions,” Phys. Rev. E Stat. Phys. Plasmas
Fluids Relat. Interdiscip. Topics 63(1), 016610 (2000).
[Crossref]
L. Deng, K. He, T. Zhou, and C. Li, “Formation and evolution of far-field
diffraction patterns of divergent and convergent Gaussian beams passing through
self-focusing and self-defocusing media,” J. Opt.
A, Pure Appl. Opt. 7(8), 409–415 (2005).
[Crossref]
D. Yu, W. Lu, R. G. Harrison, and N. N. Rosanov, “Analysis of dark spot formation in absorbing
liquid media,” J. Mod. Opt. 45, 2597–2606 (1998).
[Crossref]
R. G. Harrison, L. Dambly, D. Yu, and W. Lu, “A new self-diffraction pattern formation in
defocusing liquid media,” Opt. Commun. 139(1-3), 69–72 (1997).
[Crossref]
L. Lucchetti, S. Suchand, and F. Simoni, “Fine structure in spatial self-phase
modulation patterns: at a glance determination of the sign of optical nonlinearity
in highly nonlinear films,” J. Opt. A, Pure Appl.
Opt. 11(3), 034002 (2009).
[Crossref]
C. M. Nascimento, M. Alencar, S. Chávez-Cerda, M. Da Silva, M. R. Meneghetti, and J. M. Hickmann, “Experimental demonstration of novel effects
on the far-field diffraction patterns of a Gaussian beam in a Kerr
medium,” J. Opt. A, Pure Appl. Opt. 8(11), 947–951 (2006).
[Crossref]
S. Brugioni and R. Meucci, “Self-phase modulation in a nematic liquid
crystal film induced by a low-power CO2 laser,” Opt. Commun. 206(4-6), 445–451 (2002).
[Crossref]
C. M. Nascimento, M. Alencar, S. Chávez-Cerda, M. Da Silva, M. R. Meneghetti, and J. M. Hickmann, “Experimental demonstration of novel effects
on the far-field diffraction patterns of a Gaussian beam in a Kerr
medium,” J. Opt. A, Pure Appl. Opt. 8(11), 947–951 (2006).
[Crossref]
W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, ““Modulational instability, solitons
and beam propagation in spatially nonlocal nonlinear
media,” J. Opt. B Quantum Semiclass. Opt. 6, S288–S294 (2004).
W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, ““Modulational instability, solitons
and beam propagation in spatially nonlocal nonlinear
media,” J. Opt. B Quantum Semiclass. Opt. 6, S288–S294 (2004).
W. R. Callen, B. G. Huth, and R. H. Pantell, “Optical patterns of thermally self-defocused
light,” Appl. Phys. Lett. 11(3), 103–105 (1967).
[Crossref]
W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, ““Modulational instability, solitons
and beam propagation in spatially nonlocal nonlinear
media,” J. Opt. B Quantum Semiclass. Opt. 6, S288–S294 (2004).
D. Yu, W. Lu, R. G. Harrison, and N. N. Rosanov, “Analysis of dark spot formation in absorbing
liquid media,” J. Mod. Opt. 45, 2597–2606 (1998).
[Crossref]
M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive
media,” Phys. Rev. Lett. 68(7), 923–926 (1992).
[Crossref]
[PubMed]
A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, “Creation of a hollow laser beam using
self-phase modulation in a nematic liquid crystal,” Opt. Commun. 232(1-6), 77–82 (2004).
[Crossref]
L. Lucchetti, S. Suchand, and F. Simoni, “Fine structure in spatial self-phase
modulation patterns: at a glance determination of the sign of optical nonlinearity
in highly nonlinear films,” J. Opt. A, Pure Appl.
Opt. 11(3), 034002 (2009).
[Crossref]
L. Lucchetti, S. Suchand, and F. Simoni, “Fine structure in spatial self-phase
modulation patterns: at a glance determination of the sign of optical nonlinearity
in highly nonlinear films,” J. Opt. A, Pure Appl.
Opt. 11(3), 034002 (2009).
[Crossref]
S. A. Akhmanov, D. P. Krindach, A. P. Sukhorukov, and R. V. Khokhlov, “Nonlinear defocusing of laser
beams,” JEPT Lett. 6, 38 (1967).
D. Suter and T. Blasberg, “Stabilization of transverse solitary waves
by a nonlocal response of the nonlinear medium,” Phys. Rev. A 48(6), 4583–4587 (1993).
[Crossref]
[PubMed]
A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, “Creation of a hollow laser beam using
self-phase modulation in a nematic liquid crystal,” Opt. Commun. 232(1-6), 77–82 (2004).
[Crossref]
F. W. Dabby, T. K. Gustafson, J. R. Whinnery, and Y. Kohanzadeh, “Thermally self-induced phase modulation of
laser beam,” Appl. Phys. Lett. 16(9), 362–365 (1970).
[Crossref]
F. W. Dabby and J. R. Whinnery, “Thermal self-focusing of laser beams in lead
glasses,” Appl. Phys. Lett. 13(8), 284–286 (1968).
[Crossref]
W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, ““Modulational instability, solitons
and beam propagation in spatially nonlocal nonlinear
media,” J. Opt. B Quantum Semiclass. Opt. 6, S288–S294 (2004).
M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive
media,” Phys. Rev. Lett. 68(7), 923–926 (1992).
[Crossref]
[PubMed]
D. Yu, W. Lu, R. G. Harrison, and N. N. Rosanov, “Analysis of dark spot formation in absorbing
liquid media,” J. Mod. Opt. 45, 2597–2606 (1998).
[Crossref]
R. G. Harrison, L. Dambly, D. Yu, and W. Lu, “A new self-diffraction pattern formation in
defocusing liquid media,” Opt. Commun. 139(1-3), 69–72 (1997).
[Crossref]
L. Deng, K. He, T. Zhou, and C. Li, “Formation and evolution of far-field
diffraction patterns of divergent and convergent Gaussian beams passing through
self-focusing and self-defocusing media,” J. Opt.
A, Pure Appl. Opt. 7(8), 409–415 (2005).
[Crossref]
W. R. Callen, B. G. Huth, and R. H. Pantell, “Optical patterns of thermally self-defocused
light,” Appl. Phys. Lett. 11(3), 103–105 (1967).
[Crossref]
F. W. Dabby, T. K. Gustafson, J. R. Whinnery, and Y. Kohanzadeh, “Thermally self-induced phase modulation of
laser beam,” Appl. Phys. Lett. 16(9), 362–365 (1970).
[Crossref]
F. W. Dabby and J. R. Whinnery, “Thermal self-focusing of laser beams in lead
glasses,” Appl. Phys. Lett. 13(8), 284–286 (1968).
[Crossref]
D. Yu, W. Lu, R. G. Harrison, and N. N. Rosanov, “Analysis of dark spot formation in absorbing
liquid media,” J. Mod. Opt. 45, 2597–2606 (1998).
[Crossref]
L. Lucchetti, S. Suchand, and F. Simoni, “Fine structure in spatial self-phase
modulation patterns: at a glance determination of the sign of optical nonlinearity
in highly nonlinear films,” J. Opt. A, Pure Appl.
Opt. 11(3), 034002 (2009).
[Crossref]
L. Deng, K. He, T. Zhou, and C. Li, “Formation and evolution of far-field
diffraction patterns of divergent and convergent Gaussian beams passing through
self-focusing and self-defocusing media,” J. Opt.
A, Pure Appl. Opt. 7(8), 409–415 (2005).
[Crossref]
C. M. Nascimento, M. Alencar, S. Chávez-Cerda, M. Da Silva, M. R. Meneghetti, and J. M. Hickmann, “Experimental demonstration of novel effects
on the far-field diffraction patterns of a Gaussian beam in a Kerr
medium,” J. Opt. A, Pure Appl. Opt. 8(11), 947–951 (2006).
[Crossref]
W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, ““Modulational instability, solitons
and beam propagation in spatially nonlocal nonlinear
media,” J. Opt. B Quantum Semiclass. Opt. 6, S288–S294 (2004).
S. A. Akhmanov, D. P. Krindach, A. P. Sukhorukov, and R. V. Khokhlov, “Nonlinear defocusing of laser
beams,” JEPT Lett. 6, 38 (1967).
S. Brugioni and R. Meucci, “Self-phase modulation in a nematic liquid
crystal film induced by a low-power CO2 laser,” Opt. Commun. 206(4-6), 445–451 (2002).
[Crossref]
R. G. Harrison, L. Dambly, D. Yu, and W. Lu, “A new self-diffraction pattern formation in
defocusing liquid media,” Opt. Commun. 139(1-3), 69–72 (1997).
[Crossref]
A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, “Creation of a hollow laser beam using
self-phase modulation in a nematic liquid crystal,” Opt. Commun. 232(1-6), 77–82 (2004).
[Crossref]
D. Suter and T. Blasberg, “Stabilization of transverse solitary waves
by a nonlocal response of the nonlinear medium,” Phys. Rev. A 48(6), 4583–4587 (1993).
[Crossref]
[PubMed]
W. Królikowski and O. Bang, “Solitons in nonlocal nonlinear media: Exact
solutions,” Phys. Rev. E Stat. Phys. Plasmas
Fluids Relat. Interdiscip. Topics 63(1), 016610 (2000).
[Crossref]
M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive
media,” Phys. Rev. Lett. 68(7), 923–926 (1992).
[Crossref]
[PubMed]
Y. R. Shen, The principles of nonlinear optics (Wiley classics library, 2003). Chap. 17.
M. Born, and E. Wolf, Principles of Optics (Oxford:Pergamon, 1980). Chap. 8.
E. W. Van Stryland, and D. Hagan, “Measuring nonlinear refraction and its dispersion” in Self-focusing: past and present, R.W. Boyd, S.G. Lukishova Bad, Y.R. Shen, Eds. (Springer, 2009) 573–591.