Optical modes at the interface between two dissimilar discrete meta-materials

doi:10.1364/OE.15.004663

Optical modes at the interface between two dissimilar discrete meta-materials

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, Maïte Volatier, Vincent Aimez, Richard Arès, Christian E. Rüter, and Detlef Kip »View Author Affiliations

Optics Express, Vol. 15, Issue 8, pp. 4663-4670 (2007)
http://dx.doi.org/10.1364/OE.15.004663

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References (26)
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Abstract

We have studied theoretically and experimentally the properties of optical surface modes at the hetero-interface between two meta-materials. These meta-materials consisted of two 1D AlGaAs waveguide arrays with different band structures.

OCIS Codes
(230.7370) Optical devices : Waveguides
(240.6690) Optics at surfaces : Surface waves

ToC Category:
Metamaterials

History
Original Manuscript: March 6, 2007
Revised Manuscript: March 28, 2007
Manuscript Accepted: March 29, 2007
Published: April 3, 2007

Citation
S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, Maïte Volatier, Vincent Aimez, Richard Arès, Christian E. Rüter, and Detlef Kip, "Optical modes at the interface between two dissimilar discrete meta-materials," Opt. Express 15, 4663-4670 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-8-4663

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References

I. Tamm, Phys. Z. Sowjetunion 1, 733 (1932).
W. Shockley, "On the Surface States Associated with a Periodic Potential," Phys. Rev. 56, 317-23 (1939). [CrossRef]
A. A. Maradudin and G. I. Stegeman, "Surface Acoustic Waves," in Surface Phonons, W. Kress and F. W. De Wette, eds. (Springer-Verlag, Berlin, 1991), pp. 5-35.
V.M. Agranovich and D. L. Mills, Surface Polaritons (North Holland, Amsterdam, 1984).
D.N. Christodoulides, F. Lederer and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817 (2003). [CrossRef] [PubMed]
A.L. Jones, "Coupling of Optical Fibers and Scattering in Fibers," J. Opt. Soc. Am. 55, 261 (1965). [CrossRef]
S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, "Channel Optical Waveguide Directional Couplers," Appl. Phys. Lett. 22, 46-48 (1973). [CrossRef]
P. Yeh, A. Yariv and A. Y. Cho, "Optical surface waves in periodic layered media," Appl. Phys. Lett. 32(2), 104-105 (1978). [CrossRef]
R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel and J. S. Aitchison, "Self-Focusing and Defocusing in Waveguide Arrays," Phys. Rev. Lett. 86, 3296-9 (2001). [CrossRef] [PubMed]
D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti and J. S. Aitchison," Band-gap structure of waveguide arrays and excitation of Floquet-Bloch Solitons," Phys. Rev. Lett. 90, 053902 (2003). [CrossRef] [PubMed]
R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg and Y. Silberberg, "Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations," Phys. Rev. Lett. 83, 4756-9 (1999). [CrossRef]
R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, G. I. Stegeman, Y-H Min and W. Sohler, "Discrete Talbot Effect," Phys. Rev. Lett. 95, 053902 (2005). [CrossRef] [PubMed]
U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg and Y. Silberberg, "Nonlinearly induced escape from a defect state in waveguide arrays," Appl. Phys. Lett. 75, 1348-50 (1999). [CrossRef]
R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, "Interactions of discrete solitons with structural defects," Opt. Lett. 28, 834-836 (2003). [CrossRef] [PubMed]
Henrike Trompeter, Ulf Peschel, Thomas Pertsch, Falk Lederer, Ulrich Streppel, Dirk Michaelis, and Andreas Bräuer, "Tailoring guided modes in waveguide arrays," Opt. Express 11, 3404-11 (2003). [CrossRef] [PubMed]
K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and Alain Hache, "Discrete surface solitons," Opt. Lett. 30, 2466-68 (2005). [CrossRef] [PubMed]
S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo and M. Sorel, "Observation of surface discrete solitons," Phys. Rev. Lett. 96, 063901 (2006). [CrossRef] [PubMed]
G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides and G. I. Stegeman, Y.-H. Min, and W. Sohler, "Observation of discrete quadratic surface solitons," Opt. Express 14, 5508-16 (2006). [CrossRef] [PubMed]
E. Smirnov, M. Stepić, C. E. Rüter, D. Kip, and V. Shandarov, "Observation of staggered surface solitary waves in one-dimensional waveguide arrays," Opt. Lett. 31, 2338-2340 (2006). [CrossRef] [PubMed]
C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Yu. S. Kivshar, "Observation of surface gap solitons in semi-infinite waveguide arrays," Phys. Rev. Lett. 97, 083901 (2006). [CrossRef] [PubMed]
A. A. Maradudin, "Nonlinear surface electromagnetic waves," in Optical and Acoustic Waves in Solids-Modern Topics, (World Scientific, Singapore, 1983), pp. 72-142.
U. Langbein, F. Lederer, and H. E. Ponath, "A new type of nonlinear slab-guided waves," Opt. Commun. 46, 167-169 (1983). [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, 62-67 (1985).
K.G. Makris, J. Hudock, D.N. Christodoulides, G.I. Stegeman, O. Manela, and M. Segev, "Surface lattice solitons," Opt. Lett. 31, 2774-6 (2006). [CrossRef] [PubMed]
K. Okamoto, Fundamentals of Optical Waveguides (Academic, 2000).
J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison and Y. Silberberg, "Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides," Journal of Optoelectronics Review 13, 75-84 (2005).

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[1] I. Tamm, Phys. Z. Sowjetunion 1, 733 (1932).

[2] W. Shockley, "On the Surface States Associated with a Periodic Potential," Phys. Rev. 56, 317-23 (1939). [CrossRef]

[3] A. A. Maradudin and G. I. Stegeman, "Surface Acoustic Waves," in Surface Phonons, W. Kress and F. W. De Wette, eds. (Springer-Verlag, Berlin, 1991), pp. 5-35.

[4] V.M. Agranovich and D. L. Mills, Surface Polaritons (North Holland, Amsterdam, 1984).

[5] D.N. Christodoulides, F. Lederer and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817 (2003). [CrossRef] [PubMed]

[6] A.L. Jones, "Coupling of Optical Fibers and Scattering in Fibers," J. Opt. Soc. Am. 55, 261 (1965). [CrossRef]

[7] S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, "Channel Optical Waveguide Directional Couplers," Appl. Phys. Lett. 22, 46-48 (1973). [CrossRef]

[8] P. Yeh, A. Yariv and A. Y. Cho, "Optical surface waves in periodic layered media," Appl. Phys. Lett. 32(2), 104-105 (1978). [CrossRef]

[9] R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel and J. S. Aitchison, "Self-Focusing and Defocusing in Waveguide Arrays," Phys. Rev. Lett. 86, 3296-9 (2001). [CrossRef] [PubMed]

[10] D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti and J. S. Aitchison," Band-gap structure of waveguide arrays and excitation of Floquet-Bloch Solitons," Phys. Rev. Lett. 90, 053902 (2003). [CrossRef] [PubMed]

[11] R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg and Y. Silberberg, "Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations," Phys. Rev. Lett. 83, 4756-9 (1999). [CrossRef]

[12] R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, G. I. Stegeman, Y-H Min and W. Sohler, "Discrete Talbot Effect," Phys. Rev. Lett. 95, 053902 (2005). [CrossRef] [PubMed]

[13] U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg and Y. Silberberg, "Nonlinearly induced escape from a defect state in waveguide arrays," Appl. Phys. Lett. 75, 1348-50 (1999). [CrossRef]

[14] R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, "Interactions of discrete solitons with structural defects," Opt. Lett. 28, 834-836 (2003). [CrossRef] [PubMed]

[15] Henrike Trompeter, Ulf Peschel, Thomas Pertsch, Falk Lederer, Ulrich Streppel, Dirk Michaelis, and Andreas Bräuer, "Tailoring guided modes in waveguide arrays," Opt. Express 11, 3404-11 (2003). [CrossRef] [PubMed]

[16] K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and Alain Hache, "Discrete surface solitons," Opt. Lett. 30, 2466-68 (2005). [CrossRef] [PubMed]

[17] S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo and M. Sorel, "Observation of surface discrete solitons," Phys. Rev. Lett. 96, 063901 (2006). [CrossRef] [PubMed]

[18] G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides and G. I. Stegeman, Y.-H. Min, and W. Sohler, "Observation of discrete quadratic surface solitons," Opt. Express 14, 5508-16 (2006). [CrossRef] [PubMed]

[19] E. Smirnov, M. Stepić, C. E. Rüter, D. Kip, and V. Shandarov, "Observation of staggered surface solitary waves in one-dimensional waveguide arrays," Opt. Lett. 31, 2338-2340 (2006). [CrossRef] [PubMed]

[20] C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Yu. S. Kivshar, "Observation of surface gap solitons in semi-infinite waveguide arrays," Phys. Rev. Lett. 97, 083901 (2006). [CrossRef] [PubMed]

[21] A. A. Maradudin, "Nonlinear surface electromagnetic waves," in Optical and Acoustic Waves in Solids-Modern Topics, (World Scientific, Singapore, 1983), pp. 72-142.

[22] U. Langbein, F. Lederer, and H. E. Ponath, "A new type of nonlinear slab-guided waves," Opt. Commun. 46, 167-169 (1983). [CrossRef]

[23] N. N. Akhmediev, V. I. Korneev, and Y. V. Kuz’menko, "Excitation of nonlinear surface waves by Gaussian light beams," Sov. Phys. JETP 61, 62-67 (1985).

[24] K.G. Makris, J. Hudock, D.N. Christodoulides, G.I. Stegeman, O. Manela, and M. Segev, "Surface lattice solitons," Opt. Lett. 31, 2774-6 (2006). [CrossRef] [PubMed]

[25] K. Okamoto, Fundamentals of Optical Waveguides (Academic, 2000).

[26] J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison and Y. Silberberg, "Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides," Journal of Optoelectronics Review 13, 75-84 (2005).

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Optical modes at the interface between two dissimilar discrete meta-materials