Surface waves represent excitations which may propagate along interfaces between different media. These waves occur in diverse areas of physics, chemistry, and iology, often displaying properties that find no counterparts in bulk media [1]. The study of waves on the free surface of water and internal surfaces in stratified liquids is a classical chapter of hydrodynamics. The investigation of surface modes in solidstate physics was initiated by Tamm in 1932, who used the Kronig–Penney model to predict specific electron modes (Tamm states) localized at the edge of the solid [2]. This line of research was extended by Shockley in 1939 [3]. In linear optics, Kossel had predicted the existence of localized states near the boundary between homogeneous and layered media in 1966 [4], which were later observed in AlGaAs multilayer structures [5, 6].
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Zangwill, A.: Physics at Surfaces, Cambridge University Press, Cambridge (1988)
Tamm, I.: Phys. Z. Sowjetunion 1, 733 (1932)
Shockley, W.: Phys. Rev. 56, 317 (1939)
Kossel, D.: J. Opt. Soc. Am. 56, 1434 (1966)
Yeh, P., Yariv, A., Cho, A.Y.: Appl. Phys. Lett. 32, 104 (1978)
Ng, W., Yeh, P., Chen, P.C., Yariv, A.: Appl. Phys. Lett. 32, 370(1978)
Barnes, W.L., Dereux, A., Ebbesen, T.W.: Nature 424, 824 (2003)
Artigas, D., Torner, L.: Phys. Rev. Lett. 94, 013901 (2005)
Seaton, C.T., Valera, J.D., Shoemaker, R.L., Stegeman, G.I., Chilwell, J.T., Smith, S.D.: IEEE J. Quantum Electron. 21, 774 (1985)
Mihalache, D., Stegeman, G.I., Seaton, C.T., Wright, E.M., Zanoni, R., Boardman, A.D., Twardowski, T.: Opt. Lett. 12, 187 (1987)
Mihalache, D., Bertolotti, M., Sibilia, C.: Prog. Opt. 27, 229 (1989)
Kartashov, Y.V., Vysloukh, V.A., Torner, L.: Phys. Rev. Lett. 96, 073901 (2006)
Rosberg, C.R., Neshev, D. N., Krolikowski, W., Mitchell, A., Vicencio, R.A., Molina, M.I., Kivshar, Y.S.: Phys. Rev. Lett. 97, 083901 (2006)
Makris, K.G., Hudock, J., Christodoulides, D.N., Stegeman, G.I., Manela, O., Segev, M.: Opt. Lett. 31, 2774 (2006)
Kartashov, Y.V., Vysloukh, V.A., Mihalache, D., Torner, L.: Opt. Lett. 31, 2329 (2006)
Kartashov, Y.V., Torner, L.: Opt. Lett. 31, 2172 (2006)
Wang, X., Bezryadina, A., Chen, Z., Makris, K.G., Christodoulides, D.N., Stegeman, G.I.: Phys. Rev. Lett. 98, 123903 (2007)
Szameit, A., Kartashov, Y.V., Dreisow, F., Pertsch, T., Nolte, S., Tunnermann, A., Torner, L.: Phys. Rev. Lett. 98, 173903 (2007)
Kartashov, Y.V., Ye, F., Torner, L.: Opt. Express 14, 4808 (2006)
Garanovich, I.L., Sukhorukov, A.A., Kivshar, Y.S., Molina, M.: Opt. Express 14, 4780 (2006)
Kartashov, Y.V., Vysloukh, V.A., Egorov, A.A., Torner, L.: Opt. Express 14, 4049 (2006)
Kartashov, Y.V., Vysloukh, V.A., Torner, L.: Opt. Express 14, 12365 (2006).
Motzek, K., Sukhorukov, A.A., Kivshar, Y.S.: Opt. Express 14, 9873 (2006)
Motzek, K., Sukhorukov, A.A., Kivshar, Y.S.: Opt. Lett. 31, 3125 (2006)
Sukhorukov, A.A., Neshev, D.N., Dreischuh, A., Fischer, R., Ha, S., Krolikowski, W., Bolger, J., Mitchell, A., Eggleton, B.J., Kivshar, Y.S.: Opt. Express 14, 11265 (2006)
Makris, K.G., Suntsov, S., Christodoulides, D.N., Stegeman, G.I., Hache, A.: Opt. Lett. 30, 2466 (2005)
Suntsov, S., Makris, K.G., Christodoulides, D.N., Stegeman, G.I., Morandotti, R., Yang, H., Salamo, G., Sorel, M.: Opt. Lett. 32, 3098 (2007)
Molina, M.I., Garanovich, I.L., Sukhorukov, A.A., Kivshar, Y.S.: Opt. Lett. 31, 2332 (2006)
Molina, M.I., Vicencio, R.A., Kivshar, Y.S.: Opt. Lett. 31, 1693 (2006)
Mihalache, D., Mazilu, D., Lederer, F., Kivshar, Y.S.: Opt. Express 15, 589 (2007)
Stepić, M., Smirnov, E., Rüter, C.E., Kip, D., Maluckov, A., Hadžievski, L.: Opt. Lett. 32, 823 (2007)
Smirnov, E., Stepić, M., Rüter, C.E., Kip, D., Shandarov, V.: Opt. Lett. 31, 2338 (2006)
Suntsov, S., Makris, K.G., Christodoulides, D.N., Stegeman, G.I., Hache, A., Morandotti, R., Yang, H., Salamo, G., Sorel, M.: Phys. Rev. Lett. 96, 063901 (2006)
Suntsov, S., Makris, K.G., Siviloglou, G.A., Iwanow, R., Schiek, R., Christodoulides, D.N., Stegeman, G.I., Morandotti, R., Yang, H., Salamo, G., Volatier, M., Aimez, V., Ares, R., Sorel, M., Min, Y., Sohler, W., Wang, X.S., Bezryadina, A., Chen, Z.: J. Nonlin. Opt. Phys. Mat. 16, 401 (2007)
Hudock, J., Suntsov, S., Christodoulides, D.N., Stegeman, G.I.: Opt. Express 13, 7720 (2005)
Garanovich, L., Sukhorukov, A.A., Kivshar, Y.S., Molina, M.: Opt. Express 14, 4780 (2006)
He, Y.J., Chen, W.H., Wang, H.Z., Malomed, B.A.: Opt. Lett. 32, 1390 (2007)
Siviloglou, G.A., Makris, K.G., Iwanow, R., Schiek, R. Christodoulides, D.N., Stegeman, G.I.: Opt. Express 14, 5508 (2006)
Susanto, H., Kevrekidis, P.G., Malomed, B.A., Carretero-González, R., Frantzeskakis, D.J.: Phys. Rev. E 75, 056605 (2007)
Mihalache, D., Mazilu, D., Lederer, F., Kivshar, Y.S.: Opt. Lett. 32, 3173 (2007)
Mihalache, D., Mazilu, D., Kivshar, Y., Lederer, F.: Opt. Express 15, 10718 (2007)
Machacek, D.L., Foreman, E.A., Hoq, Q.E., Kevrekidis, P.G., Saxena, A., Frantzeskakis, D.J., Bishop, A.R.: Phys. Rev. E 74, 036602 (2006)
Molina, M.I., Kivshar, Y.S.: Phys. Lett. A 362, 280 (2007)
Makris, K.G., Christodoulides, D.N.: Phys. Rev. E 73, 036616 (2006)
Rasmussen, K.Ø., Cai, D., Bishop, A.R., Grønbech-Jensen, N.: Phys. Rev. E 55, 6151 (1997)
Kapitula, T., Kevrekidis, P.G., Malomed, B.A.: Phys. Rev. E 63, 036604 (2001)
Kevrekidis, P.G., Malomed, B.A., Bishop, A.R.: J. Phys. A Math. Gen. 34, 9615 (2001)
Kevrekidis, P.G., Malomed, B.A., Frantzeskakis, D.J., Carretero-González, R.: Phys. Rev. Lett. 93, 080403 (2004)
Carretero-González, R., Kevrekidis, P.G., Malomed, B.A., Frantzeskakis, D.J.: Phys. Rev. Lett. 94, 203901 (2005)
Kevrekidis, P.G., Carretero-González, R., Frantzeskakis, D.J., Malomed, B.A., Diakonos, F.K.: Phys. Rev. E 75, 026603 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
He, YJ., Malomed, B.A. (2009). Surface Waves and Boundary Effects in DNLS Equations. In: The Discrete Nonlinear Schrödinger Equation. Springer Tracts in Modern Physics, vol 232. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89199-4_14
Download citation
DOI: https://doi.org/10.1007/978-3-540-89199-4_14
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89198-7
Online ISBN: 978-3-540-89199-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)