Abstract
In this chapter, the nonlinear optical response of MMs evoked by second-order multipoles is analyzed for the split-ring resonator, although the introduced formalism can be applied to arbitrary structures.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
N. Sharma, PRL 98, 217402 (2007)
D.J. Cho, F. Wang, X. Zhang, Y.R. Shen, Phys. Rev. B 78, 121101(R) (2008)
Y. Shin, A. Chavez-Pirson, Y. Lee, Opt. Lett. 25, 171 (2000)
D. Guzatov, V. Klimov, M. Pikhota, Laser Phys. (2009). https://doi.org/10.1134/PS1054660X09170083
J. Petschulat, C. Menzel, A. Chipouline, C. Rockstuhl, A. Tünnermann, F. Lederer, T. Pertsch, Multipole approach to metamaterials. Phys. Rev. B 78, 043811 (2008)
V. Pustovit, J. Sotelo, G. Niklasson, JOSA A 19, 513 (2002)
N. Bloembergen, Nonlinear Optics (Benjamin Press, New York, 1965)
S. Kujala, B.K. Canfield, M. Kauranen, Y. Svirko, J. Turunen, PRL 98, 167403 (2007)
D. Bethune, Opt. Lett. 6, 287 (1981)
G. Bachelier, I. Russier-Antoine, E. Benichou, C. Jonin, P.-F. Brevet, JOSA B 25, 955 (2008)
J. Jayabalan, P. Manoranjan, A. Banerjee, K.C. Rustagi, Phys. Rev. B 77, 045421 (2008)
E. Kim, F. Wang, W. Wu, Z. Yu, Y.R. Shen, Phys. Rev. B 78, 113102 (2008)
A. Maluckov, L. Hadzievski, N. Lazarides, G. Tsironis, Phys. Rev. E 77, 046607 (2008)
I. Shadrivov, A. Kozyrev, D. Weide, Y. Kivshar, Appl. Phys. Lett. 93, 161903 (2008)
I. Shadrivov, A. Kozyrev, D. Weide, Y. Kivshar, Opt. Express 16, 20266 (2008)
A. Zharov, I. Shadrivov, Y. Kivshar, PRL 91, 037401 (2003)
M.W. Klein, C. Enkrich, M. Wegener, S. Linden, Science 313, 502 (2006)
M.W. Klein, M. Wegener, N. Feth, S. Linden, Opt. Express 15, 5238 (2007)
C. Rockstuhl, T. Zentgraf, E. Pshenay-Severin, J. Petschulat, A. Chipouline, J. Kuhl, T. Pertsch, H. Giessen, F. Lederer, Opt. Express 15, 8871 (2007)
C. Rockstuhl, T. Paul, F. Lederer, T. Pertsch, T. Zentgraf, T. Meyrath, H. Giessen, Phys. Rev. B 77, 035126 (2008)
B.T. Draine, P.J. Flatau, JOSA A 11, 1491 (1994)
C. Hafner, The Generalized Multipole Technique for Computational, Electromagnetics (Artech House, Boston, 1990)
J. Petschulat, A. Chipouline, A. Tüunnermann, T. Pertsch, C. Menzel, C. Rockstuhl, F. Lederer, Phys. Rev. A 80, 063828 (2009)
N. Feth et al., Opt. Lett. 33, 1975 (2008)
Y. Zeng, W. Hoyer, J. Liu, S. Koch, J. Moloney, Phys. Rev. B 79, 235109 (2009)
P. Butcher, D. Cotter, The Elements of Nonlinear Optics (Cambridge University Press, Cambridge, 1990)
R. Miller, APL 5, 17 (1964)
M. Choy, R. Byer, Phys. Rev. B 14, 1693 (1976)
J. Reinhold, M. Shcherbakov, A. Chipouline, V. Panov, C. Helgert, T. Paul, C. Rockstuhl, F. Lederer, E.-B. Kley, A. Tünnermann, A. Fedyanin, T. Pertsch, The contribution of the magnetic resonance to the third harmonic generation from a fishnet metamaterial. Phys. Rev. B 86, 115401 (2012)
T. Paul, C. Rockstuhl, F. Lederer, JOSA B 27, 1118 (2010)
R.W. Boyd, Nonlinear Optics, 2nd edn. (Academic Press, San Diego, CA, 2003)
N. Bloembergen, W.K. Burns, M. Matsuoka, Opt. Commun. 1, 195 (1969)
R. Adair, L.L. Chase, S.A. Payne, J. Opt. Soc. Am. B 4, 875 (1987)
R. Adair, L.L. Chase, S.A. Payne, Phys. Rev. B 39, 3337 (1989)
A. Mary, S. Rodrigo, F. Garcia-Vidal, L. Martin-Moreno, PRL 101, 103902 (2008)
L.D. Landau, E.L. Lifshitz, Electrodynamics of Continuous Media, 2nd edn. (Pergamon Press, New York, 1960). Chap. IX
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Chipouline, A., Küppers, F. (2018). Applications of the “Classical” Metamaterial Model—Nonlinear Metamaterials: Multipole (Second Order) and Third Order Nonlinearities. In: Optical Metamaterials: Qualitative Models. Springer Series in Optical Sciences, vol 211. Springer, Cham. https://doi.org/10.1007/978-3-319-77520-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-77520-3_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-77518-0
Online ISBN: 978-3-319-77520-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)