Abstract
The nonlinear refractive index of plasmonic materials may be used to obtain nonlinear functionality, e.g., power-dependent switching. Here, we investigate the nonlinear refractive index of single-crystalline gold in thin layers and nanostructures on dielectric substrates. In a first step, we implement a z-scan setup to investigate ~100-µm-sized thin-film samples. We determine the nonlinear refractive index of fused silica, n 2(SiO2) = 2.9 × 10−20 m2/W, in agreement with literature values. Subsequent z-scan measurements of single-crystalline gold films reveal a damage threshold of 0.22 TW/cm2 and approximate upper limits of the real and imaginary parts of the nonlinear refractive index, |n 2′(Au)| < 1.2 × 10−16 m2/W and |n 2″(Au)| < 0.6 × 10−16 m2/W, respectively. To further determine possible effects of a nonlinear refractive index in plasmonic circuitry, interferometry is proposed as a phase-sensitive probe. In corresponding nanostructures, relative phase changes between two propagating near-field modes are converted to amplitude changes by mode interference. Power-dependent experiments using sub-10-fs near-infrared pulses and diffraction-limited resolution (NA = 1.4) reveal linear behavior up to the damage threshold (0.23 times relative to that of a solid single-crystalline gold film). An upper limit for the nonlinear power-dependent phase change between two propagating near-field modes is determined to Δφ < 0.07 rad.
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References
S.A. Maier, Plasmonics: Fundamentals and Applications (Springer, Berlin, 2007)
W.L. Barnes, A. Dereux, T.W. Ebbesen, Nature 424, 824 (2003)
M. Stockman, Opt. Express 19, 22029 (2011)
L. Novotny, N. van Hulst, Nat. Photonics 5, 83 (2011)
P. Biagioni, J.-S. Huang, B. Hecht, Rep. Prog. Phys. 75, 024402 (2012)
Y. Fang, Z. Li, Y. Huang, S. Zhang, P. Nordlander, N.J. Halas, H. Xu, Nano Lett. 10, 1950 (2010)
H. Wei, Z. Wang, X. Tian, M. Käll, H. Xu, Nat. Commun. 2, 387 (2011)
C. Rewitz, G. Razinskas, P. Geisler, E. Krauss, S. Goetz, M. Pawłowska, B. Hecht, T. Brixner, Phys. Rev. Appl. 1, 014007 (2014)
G. Lenz, J. Zimmermann, T. Katsufuji, M.E. Lines, H.Y. Hwang, S. Spälter, R.E. Slusher, S.-W. Cheong, J.S. Sanghera, I.D. Aggarwal, Opt. Lett. 25, 254 (2000)
A. Reiserer, J.-S. Huang, B. Hecht, T. Brixner, Opt. Express 18, 11810 (2010)
P. Ginzburg, A. Hayat, N. Berkovitch, M. Orenstein, Opt. Lett. 35, 1551 (2010)
S. Palomba, L. Novotny, Phys. Rev. Lett. 101, 056802 (2008)
J. Renger, R. Quidant, N. van Hulst, L. Novotny, Phys. Rev. Lett. 104, 046803 (2010)
M. Lippitz, M.A. van Dijk, M. Orrit, Nano Lett. 5, 799 (2005)
T. Hanke, G. Krauss, D. Träutlein, B. Wild, R. Bratschitsch, A. Leitenstorfer, Phys. Rev. Lett. 103, 257404 (2009)
M. Hentschel, T. Utikal, H. Giessen, M. Lippitz, Nano Lett. 12, 3778 (2012)
R.W. Boyd, Z. Shi, I. De Leon, Opt. Commun. 326, 74 (2014)
D.D. Smith, Y. Yoon, R.W. Boyd, J.K. Campbell, L.A. Baker, R.M. Crooks, M. George, J. Appl. Phys. 86, 6200 (1999)
P. Wang, Y. Lu, L. Tang, J. Zhang, H. Ming, J. Xie, F.-H. Ho, H.-H. Chang, H.-Y. Lin, D.-P. Tsai, Opt. Commun. 229, 425 (2004)
N. Rotenberg, A.D. Bristow, M. Pfeiffer, M. Betz, H.M. van Driel, Phys. Rev. B 75, 155426 (2007)
E. Xenogiannopoulou, P. Aloukos, S. Couris, E. Kaminska, A. Piotrowska, E. Dynowska, Opt. Commun. 275, 217 (2007)
M. Sheik-Bahae, A.A. Said, E.W. Van Stryland, Opt. Lett. 14, 955 (1989)
M. Sheik-Bahae, A. Said, T.-H. Wei, D.J. Hagan, E.W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990)
R. Sutherland, Handbook of Nonlinear Optics, 2nd edn. (CRC Press, London, 2003)
P.B. Chapple, J. Staromlynska, R.G. McDuff, JOSA B 11, 975 (1994)
R. Trebino, K.W. DeLong, D.N. Fittinghoff, J.N. Sweetser, M.A. Krumbügel, B.A. Richman, D.J. Kane, Rev. Sci. Instrum. 68, 3277 (1997)
D. Milam, Appl. Opt. 37, 546 (1998)
H.I. Elim, W. Ji, F. Zhu, Appl. Phys. B 82, 439 (2006)
R. DeSalvo, A.A. Said, D.J. Hagan, E.W. van Stryland, M. Sheik-Bahae, IEEE J. Quantum Electron. 32, 1324 (1996)
T. Olivier, F. Billard, H. Akhouayri, Opt. Express 12, 1377 (2004)
J.-S. Huang, V. Callegari, P. Geisler, C. Brüning, J. Kern, J.C. Prangsma, X. Wu, T. Feichtner, J. Ziegler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, U. Sennhauser, B. Hecht, Nat. Commun. 1, 150 (2010)
X. Wu, R. Kullock, E. Krauss, B. Hecht, Cryst. Res. Technol. 50, 595 (2015)
C. Kern, M. Zürch, J. Petschulat, T. Pertsch, B. Kley, T. Käsebier, U. Hübner, C. Spielmann, Appl. Phys. A 104, 15 (2011)
P.B. Johnson, R.W. Christy, Phys. Rev. B 6, 4370 (1972)
R. de Nalda, R. del Coso, J. Requejo-Isidro, J. Olivares, A. Suarez-Garcia, J. Solis, C.N. Afonso, JOSA B 19, 289 (2002)
P. Geisler, G. Razinskas, E. Krauss, X.-F. Wu, C. Rewitz, P. Tuchscherer, S. Goetz, C.-B. Huang, T. Brixner, B. Hecht, Phys. Rev. Lett. 111, 183901 (2013)
P. Mühlschlegel, H.-J. Eisler, O.J.F. Martin, B. Hecht, D.W. Pohl, Science 308, 1607 (2005)
J.-S. Huang, T. Feichtner, P. Biagioni, B. Hecht, Nano Lett. 9, 1897 (2009)
M. Schnell, P. Alonso-González, L. Arzubiaga, F. Casanova, L.E. Hueso, A. Chuvilin, R. Hillenbrand, Nat. Photonics 5, 283 (2011)
P.M. Krenz, R.L. Olmon, B.A. Lail, M.B. Raschke, G.D. Boreman, Opt. Express 18, 21678 (2010)
E. Verhagen, M. Spasenović, A. Polman, L. (Kobus) Kuipers, Phys. Rev. Lett. 102, 203904 (2009)
M. Cinchetti, A. Gloskovskii, S.A. Nepjiko, G. Schönhense, H. Rochholz, M. Kreiter, Phys. Rev. Lett. 95, 047601 (2005)
L. Lepetit, G. Cheriaux, M. Joffre, JOSA B 12, 2467 (1995)
C. Rewitz, T. Keitzl, P. Tuchscherer, J.-S. Huang, P. Geisler, G. Razinskas, B. Hecht, T. Brixner, Nano Lett. 12, 45 (2012)
C. Rewitz, T. Keitzl, P. Tuchscherer, S. Goetz, P. Geisler, G. Razinskas, B. Hecht, T. Brixner, Opt. Express 20, 14632 (2012)
M. Pawłowska, S. Goetz, C. Dreher, M. Wurdack, E. Krauss, G. Razinskas, P. Geisler, B. Hecht, T. Brixner, Opt. Express 22, 31496 (2014)
T. Wu, J. Tang, B. Hajj, M. Cui, Opt. Express 19, 12961 (2011)
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This work was supported by the German Science Foundation (DFG) within the Priority Program “Ultrafast Nanooptics” (SPP 1391).
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This article is part of the topical collection “Ultrafast Nanooptics” guest edited by Martin Aeschlimann and Walter Pfeiffer.
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Goetz, S., Razinskas, G., Krauss, E. et al. Investigation of the nonlinear refractive index of single-crystalline thin gold films and plasmonic nanostructures. Appl. Phys. B 122, 94 (2016). https://doi.org/10.1007/s00340-016-6370-7
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DOI: https://doi.org/10.1007/s00340-016-6370-7