Vector discrete nonlinear surface waves

doi:10.1364/OPEX.13.007720

Optics Express

Editor: Michael Duncan
Vol. 13, Iss. 20 — Oct. 3, 2005
pp: 7720–7725

Vector discrete nonlinear surface waves

Jared Hudock, Sergiy Suntsov, Demetrios Christodoulides, and George Stegeman »View Author Affiliations

Optics Express, Vol. 13, Issue 20, pp. 7720-7725 (2005)
http://dx.doi.org/10.1364/OPEX.13.007720

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Abstract

It is theoretically shown that multi-component discrete vector surface waves can exist in arrays of coupled waveguides. These mutually trapped surface states primarily reside in the first waveguide of a semi-infinite array. The existence and stability of such surface waves are systematically investigated.

OCIS Codes
(190.4350) Nonlinear optics : Nonlinear optics at surfaces
(190.4390) Nonlinear optics : Nonlinear optics, integrated optics

ToC Category:
Research Papers

History
Original Manuscript: April 25, 2005
Revised Manuscript: May 28, 2005
Published: October 3, 2005

Citation
Jared Hudock, Sergiy Suntsov, Demetrios Christodoulides, and George Stegeman, "Vector discrete nonlinear surface waves," Opt. Express 13, 7720-7725 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-20-7720

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References

W.L. Barnes, A. Dereux, and T.W. Ebbesen, �??Surface plasmon subwavelength optics�??, Nature 424, 824 (2003). [CrossRef] [PubMed]
P. Yeh, A. Yariv, and A.Y. Cho, �??Optical surface waves in periodic layered media,�?? Appl. Phys. Lett. 32, 104 (1978). [CrossRef]
D. Artigas and L. Torner, �??Dyakonov surface waves in photonic metamaterials,�?? Phys. Rev. Lett. 94, 013901 (2005). [CrossRef] [PubMed]
A.D. Boardman, P. Egan, F. Lederer, U. Langbein, and D. Mihalache, �??Third-order nonlinear electromagnetic TE and TM guided waves,�?? in Nonlinear Surface Electromagnetic phenomena, V.M. Agranovich, A.A. Maradudin, H.-E. Ponath, and G.I. Stegeman, eds. (Elsevier Science Publishers B.V., New York, 1991).
D. Mihalache, M. Bertootti, and C. Sibilia, �??Nonlinear wave propagation in planar structures,�?? Progress in Optics 27, 229 (1989). [CrossRef]
M. Miyagi and S. Nishida, Sci. Rep. Res. Inst. Tohoku Univ. Ser. B 24, 53 (1972).
W.J. Tomlinson, �??Surface wave at a nonlinear interface,�?? Opt. Lett. 5 323 (1980). [CrossRef] [PubMed]
N. N. Akhmediev, �??A novel class of non-linear surface waves-asymmetric modes in symmetric layered structures,�?? Zh. Eksp. Teor. Fiz. 83, 545 (1982).
V. K. Fedyanin and D. Mihalache, �??P-polarized nonlinear surface polaritons in layered structures,�?? Z. Phys. B 47, 167 (1982). [CrossRef]
N.N. Akhmediev, V.I. Korneev, and Y.V. Kuz�??menko, �??Excitation of nonlinear surface waves by Gaussian light beams,�?? Sov. Phys. JETP 61, 62 (1985).
U. Langbein, F. Lederer, and H.E. Ponath, �??A new type of nonlinear slab-guided waves,�?? Opt. Commun. 46, 167, (1983). [CrossRef]
C.T. Seaton, J.D. Valera, R.L. Shoemaker, G.I. Stegeman, J.T. Chilwell, and S.D. Smith, �??Calculations of nonlinear TE waves guided by thin dielectic films bounded by nonlinear media,�?? IEEE J. Quantum Electron. 21, 782 (1985). [CrossRef]
G.S. Garcia Quirino, J.J. Sanchez-Mondragon, and S. Stepanov, �??Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,�?? Phys. Rev. A 51, 1571 (1995). [CrossRef] [PubMed]
M. Cronin-Golomb, �??Photorefractive surface waves,�?? Opt. Lett. 20, 2075 (1995). [CrossRef] [PubMed]
D.N Christodoulides, F. Lederer, and Y. Silberberg, �??Discretizing light behaviour in linear and nonlinear waveguide lattices,�?? Nature 424, 817 (2003). [CrossRef] [PubMed]
K.G. Makris, S. Suntsov, D.N. Christodoulides, and G.I. Stegemen, �??Discrete surface solitons,�?? submitted to Opt. Lett. [CrossRef] [PubMed]
E.A. Ostrovskaya, N.N. Akhmediev, G.I. Stegeman, J.U. Kang, J.S. Aitchison, �??Mixed-mode spatial solitons in semiconductor waveguides,�?? J. Opt. Soc. Am. B 14, 880 (1997). [CrossRef]
R.R. Malendevich, L. Friedrich, G.I. Stegeman, J.M. Soto-Crespo, N.N. Akhmediev, and J.S. Aitchison, �??Radiation-related polarization instability of Kerr spatial vector solitons�?? J. Opt. Soc. Am. B 19, 695 (2002). [CrossRef]
J. Meier, J. Hudock, D. Christodoulides, G. Stegemen, Y. Silberberg, R. Morandotti, and J.S. Aitchison, �??DiscreteVector Solitons in Kerr NonlinearWaveguide Arrays,�?? Phys. Rev. Lett. 91, 143907 (2003). [CrossRef] [PubMed]

Appl. Phys. Lett.

P. Yeh, A. Yariv, and A.Y. Cho, �??Optical surface waves in periodic layered media,�?? Appl. Phys. Lett. 32, 104 (1978). [CrossRef]

IEEE J. Quantum Electron.

C.T. Seaton, J.D. Valera, R.L. Shoemaker, G.I. Stegeman, J.T. Chilwell, and S.D. Smith, �??Calculations of nonlinear TE waves guided by thin dielectic films bounded by nonlinear media,�?? IEEE J. Quantum Electron. 21, 782 (1985). [CrossRef]

J. Opt. Soc. Am B

R.R. Malendevich, L. Friedrich, G.I. Stegeman, J.M. Soto-Crespo, N.N. Akhmediev, and J.S. Aitchison, �??Radiation-related polarization instability of Kerr spatial vector solitons�?? J. Opt. Soc. Am. B 19, 695 (2002). [CrossRef]

J. Opt. Soc. Am. B

E.A. Ostrovskaya, N.N. Akhmediev, G.I. Stegeman, J.U. Kang, J.S. Aitchison, �??Mixed-mode spatial solitons in semiconductor waveguides,�?? J. Opt. Soc. Am. B 14, 880 (1997). [CrossRef]

Nature

D.N Christodoulides, F. Lederer, and Y. Silberberg, �??Discretizing light behaviour in linear and nonlinear waveguide lattices,�?? Nature 424, 817 (2003). [CrossRef] [PubMed]
W.L. Barnes, A. Dereux, and T.W. Ebbesen, �??Surface plasmon subwavelength optics�??, Nature 424, 824 (2003). [CrossRef] [PubMed]

Opt. Commun.

U. Langbein, F. Lederer, and H.E. Ponath, �??A new type of nonlinear slab-guided waves,�?? Opt. Commun. 46, 167, (1983). [CrossRef]

Opt. Lett.

K.G. Makris, S. Suntsov, D.N. Christodoulides, and G.I. Stegemen, �??Discrete surface solitons,�?? submitted to Opt. Lett. [CrossRef] [PubMed]
M. Cronin-Golomb, �??Photorefractive surface waves,�?? Opt. Lett. 20, 2075 (1995). [CrossRef] [PubMed]
W.J. Tomlinson, �??Surface wave at a nonlinear interface,�?? Opt. Lett. 5 323 (1980). [CrossRef] [PubMed]

Phys. Rev. A

G.S. Garcia Quirino, J.J. Sanchez-Mondragon, and S. Stepanov, �??Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,�?? Phys. Rev. A 51, 1571 (1995). [CrossRef] [PubMed]

Phys. Rev. Lett.

D. Artigas and L. Torner, �??Dyakonov surface waves in photonic metamaterials,�?? Phys. Rev. Lett. 94, 013901 (2005). [CrossRef] [PubMed]
J. Meier, J. Hudock, D. Christodoulides, G. Stegemen, Y. Silberberg, R. Morandotti, and J.S. Aitchison, �??DiscreteVector Solitons in Kerr NonlinearWaveguide Arrays,�?? Phys. Rev. Lett. 91, 143907 (2003). [CrossRef] [PubMed]

Progress in Optics

D. Mihalache, M. Bertootti, and C. Sibilia, �??Nonlinear wave propagation in planar structures,�?? Progress in Optics 27, 229 (1989). [CrossRef]

Sov. Phys. JETP

N.N. Akhmediev, V.I. Korneev, and Y.V. Kuz�??menko, �??Excitation of nonlinear surface waves by Gaussian light beams,�?? Sov. Phys. JETP 61, 62 (1985).

Z. Phys. B

V. K. Fedyanin and D. Mihalache, �??P-polarized nonlinear surface polaritons in layered structures,�?? Z. Phys. B 47, 167 (1982). [CrossRef]

Zh. Eksp. Teor. Fiz.

N. N. Akhmediev, �??A novel class of non-linear surface waves-asymmetric modes in symmetric layered structures,�?? Zh. Eksp. Teor. Fiz. 83, 545 (1982).

Other

M. Miyagi and S. Nishida, Sci. Rep. Res. Inst. Tohoku Univ. Ser. B 24, 53 (1972).
A.D. Boardman, P. Egan, F. Lederer, U. Langbein, and D. Mihalache, �??Third-order nonlinear electromagnetic TE and TM guided waves,�?? in Nonlinear Surface Electromagnetic phenomena, V.M. Agranovich, A.A. Maradudin, H.-E. Ponath, and G.I. Stegeman, eds. (Elsevier Science Publishers B.V., New York, 1991).

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Fig. 4.

[1] W.L. Barnes, A. Dereux, and T.W. Ebbesen, �??Surface plasmon subwavelength optics�??, Nature 424, 824 (2003). [CrossRef] [PubMed]

[2] P. Yeh, A. Yariv, and A.Y. Cho, �??Optical surface waves in periodic layered media,�?? Appl. Phys. Lett. 32, 104 (1978). [CrossRef]

[3] D. Artigas and L. Torner, �??Dyakonov surface waves in photonic metamaterials,�?? Phys. Rev. Lett. 94, 013901 (2005). [CrossRef] [PubMed]

[4] A.D. Boardman, P. Egan, F. Lederer, U. Langbein, and D. Mihalache, �??Third-order nonlinear electromagnetic TE and TM guided waves,�?? in Nonlinear Surface Electromagnetic phenomena, V.M. Agranovich, A.A. Maradudin, H.-E. Ponath, and G.I. Stegeman, eds. (Elsevier Science Publishers B.V., New York, 1991).

[5] D. Mihalache, M. Bertootti, and C. Sibilia, �??Nonlinear wave propagation in planar structures,�?? Progress in Optics 27, 229 (1989). [CrossRef]

[6] M. Miyagi and S. Nishida, Sci. Rep. Res. Inst. Tohoku Univ. Ser. B 24, 53 (1972).

[7] W.J. Tomlinson, �??Surface wave at a nonlinear interface,�?? Opt. Lett. 5 323 (1980). [CrossRef] [PubMed]

[8] N. N. Akhmediev, �??A novel class of non-linear surface waves-asymmetric modes in symmetric layered structures,�?? Zh. Eksp. Teor. Fiz. 83, 545 (1982).

[9] V. K. Fedyanin and D. Mihalache, �??P-polarized nonlinear surface polaritons in layered structures,�?? Z. Phys. B 47, 167 (1982). [CrossRef]

[10] N.N. Akhmediev, V.I. Korneev, and Y.V. Kuz�??menko, �??Excitation of nonlinear surface waves by Gaussian light beams,�?? Sov. Phys. JETP 61, 62 (1985).

[11] U. Langbein, F. Lederer, and H.E. Ponath, �??A new type of nonlinear slab-guided waves,�?? Opt. Commun. 46, 167, (1983). [CrossRef]

[12] C.T. Seaton, J.D. Valera, R.L. Shoemaker, G.I. Stegeman, J.T. Chilwell, and S.D. Smith, �??Calculations of nonlinear TE waves guided by thin dielectic films bounded by nonlinear media,�?? IEEE J. Quantum Electron. 21, 782 (1985). [CrossRef]

[13] G.S. Garcia Quirino, J.J. Sanchez-Mondragon, and S. Stepanov, �??Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,�?? Phys. Rev. A 51, 1571 (1995). [CrossRef] [PubMed]

[14] M. Cronin-Golomb, �??Photorefractive surface waves,�?? Opt. Lett. 20, 2075 (1995). [CrossRef] [PubMed]

[15] D.N Christodoulides, F. Lederer, and Y. Silberberg, �??Discretizing light behaviour in linear and nonlinear waveguide lattices,�?? Nature 424, 817 (2003). [CrossRef] [PubMed]

[16] K.G. Makris, S. Suntsov, D.N. Christodoulides, and G.I. Stegemen, �??Discrete surface solitons,�?? submitted to Opt. Lett. [CrossRef] [PubMed]

[17] E.A. Ostrovskaya, N.N. Akhmediev, G.I. Stegeman, J.U. Kang, J.S. Aitchison, �??Mixed-mode spatial solitons in semiconductor waveguides,�?? J. Opt. Soc. Am. B 14, 880 (1997). [CrossRef]

[18] R.R. Malendevich, L. Friedrich, G.I. Stegeman, J.M. Soto-Crespo, N.N. Akhmediev, and J.S. Aitchison, �??Radiation-related polarization instability of Kerr spatial vector solitons�?? J. Opt. Soc. Am. B 19, 695 (2002). [CrossRef]

[19] J. Meier, J. Hudock, D. Christodoulides, G. Stegemen, Y. Silberberg, R. Morandotti, and J.S. Aitchison, �??DiscreteVector Solitons in Kerr NonlinearWaveguide Arrays,�?? Phys. Rev. Lett. 91, 143907 (2003). [CrossRef] [PubMed]

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Vector discrete nonlinear surface waves

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Abstract

References

Appl. Phys. Lett.

IEEE J. Quantum Electron.

J. Opt. Soc. Am B

J. Opt. Soc. Am. B

Nature

Opt. Commun.

Opt. Lett.

Phys. Rev. A

Phys. Rev. Lett.

Progress in Optics

Sov. Phys. JETP

Z. Phys. B

Zh. Eksp. Teor. Fiz.

Other

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