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212. N.K. Hon, R. Soref, B. Jalali, The third-order nonlinear optical coefficients of si, ge, and si1x ge x in the midwave and longwave infrared. J. Appl. Phys. 110(1), 9 (2011)
213. P.L. Kelley, Self-focusing of optical beams. Phys. Rev. Lett. 15(26), 1005 (1965)
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217. R.Y. Chiao, E. Garmire, C.H. Townes, Self-trapping of optical beams. Phys. Rev. Lett. 13(15),
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219. M. Mitchell, M. Segev, Self-trapping of incoherent white light. Nature 387(6636), 880–883
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224. K. Zhang, F. Zhu, C.H.A. Huan, A.T.S. Wee, Indium tin oxide films prepared by radio frequency magnetron sputtering method at a low processing temperature. Thin Solid Films
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225. H.I. Elim, W. Ji, F. Zhu, Carrier concentration dependence of optical kerr nonlinearity in
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226. J. Troles, F.M.P.V.H.G. Smektala, M. Guignard, P. Houizot, V. Nazabal, H. Zeghlache, G.
Boudebs, V. Couderc, Third and second order non linear optical properties of chalcogenide
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227. P.J. Price, Calculation of hot electron phenomena. Solid-State Electron. 21(1), 9–16 (1978)
228. E.G. Carnemolla, V. Bruno, L. Caspani, M. Clerici, S. Vezzoli, T. Roger, C. DeVault, J. Kim,
A. Shaltout, V. Shalaev et al., Giant nonlinear frequency shift in epsilon-near-zero aluminum
zinc oxide thin films, in CLEO: Science and Innovations (Optical Society of America, 2018),
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229. E.G. Carnemolla, L. Caspani, C. DeVault, M. Clerici, S. Vezzoli, V. Bruno, V.M. Shalaev,
D. Faccio, A. Boltasseva, M. Ferrera, Degenerate optical nonlinear enhancement in epsilonnear-zero transparent conducting oxides. Opt. Mater. Express 8(11), 3392–3400 (2018)
230. A.E. Krasnok, I.S. Maksymov, A.I. Denisyuk, P.Al. Belov, A.E. Miroshnichenko, C.R.
Simovski, Y.S. Kivshar, Optical nanoantennas. Phys.-Uspekhi 56(6), 539 (2013)
141
206. J.A. Armstrong, N. Bloembergen, J. Ducuing, P.S. Pershan, Interactions between light waves
in a nonlinear dielectric. Phys. Rev. 127(6), 1918 (1962)
207. M. Cazzanelli, J. Schilling, Second order optical nonlinearity in silicon by symmetry breaking.
Appl. Phys. Rev. 3(1), 011104 (2016)
208. P.D. Maker, R.W. Terhune, C.M. Savage, Intensity-dependent changes in the refractive index
of liquids. Phys. Rev. Lett. 12(18), 507 (1964)
209. E.L. Buckland, R.W. Boyd, Electrostrictive contribution to the intensity-dependent refractive
index of optical fibers. Opt. Lett. 21(15), 1117–1119 (1996)
210. D.W. Garvey, Q. Li, M.G. Kuzyk, C.W. Dirk, S. Martinez, Sagnac interferometric intensitydependent refractive-index measurements of polymer optical fiber. Opt. Lett. 21(2), 104–106
(1996)
211. O. Reshef, I. De Leon, M.Z. Alam, R.W. Boyd, Nonlinear optical effects in epsilon-near-zero
media. Nat. Rev. Mater. 4(8), 535–551 (2019)
212. N.K. Hon, R. Soref, B. Jalali, The third-order nonlinear optical coefficients of si, ge, and si1x ge x in the midwave and longwave infrared. J. Appl. Phys. 110(1), 9 (2011)
213. P.L. Kelley, Self-focusing of optical beams. Phys. Rev. Lett. 15(26), 1005 (1965)
214. A. Shabat, V. Zakharov, Exact theory of two-dimensional self-focusing and one-dimensional
self-modulation of waves in nonlinear media. Sov. Phys. JETP 34(1), 62 (1972)
215. Y. Shen, Self-focusing: experimental. Prog. Quantum Electron. 4, 1–34 (1975)
216. S.A. Akhmanov, A.P. Sukhorukov, R.V. Khokhlov, Self-focusing and diffraction of light in a
nonlinear medium. Sov. Phys. USPEKHI 10(5), 609 (1968)
217. R.Y. Chiao, E. Garmire, C.H. Townes, Self-trapping of optical beams. Phys. Rev. Lett. 13(15),
479 (1964)
218. A.S. Kewitsch, A. Yariv, Self-focusing and self-trapping of optical beams upon photopolymerization. Opt. Lett. 21(1), 24–26 (1996)
219. M. Mitchell, M. Segev, Self-trapping of incoherent white light. Nature 387(6636), 880–883
(1997)
220. J.L. Humphrey, D. Kuciauskas, Optical susceptibilities of supported indium tin oxide thin
films. J. Appl. Phys. 100(11), 113123 (2006)
221. K.L. Chopra, S. Major, D.K. Pandya, Transparent conductor - a status review. Thin solid films
102(1), 1–46 (1983)
222. I. Hamberg, C.G. Granqvist, Evaporated sn-doped in2o3 films: Basic optical properties and
applications to energy-efficient windows. J. Appl. Phys. 60(11), R123–R160 (1986)
223. R.B.H. Tahar, T. Ban, Y. Ohya, Y. Takahashi, Tin doped indium oxide thin films: Electrical
properties. J. Appl. Phys. 83(5), 2631–2645 (1998)
224. K. Zhang, F. Zhu, C.H.A. Huan, A.T.S. Wee, Indium tin oxide films prepared by radio frequency magnetron sputtering method at a low processing temperature. Thin Solid Films
376(1–2), 255–263 (2000)
225. H.I. Elim, W. Ji, F. Zhu, Carrier concentration dependence of optical kerr nonlinearity in
indium tin oxide films. Appl. Phys. B 82(3), 439–442 (2006)
226. J. Troles, F.M.P.V.H.G. Smektala, M. Guignard, P. Houizot, V. Nazabal, H. Zeghlache, G.
Boudebs, V. Couderc, Third and second order non linear optical properties of chalcogenide
glasses on bulk and fibers, in Proceedings of 2005 7th International Conference Transparent
Optical Networks, vol. 2 (IEEE, 2005), pp. 242–244
227. P.J. Price, Calculation of hot electron phenomena. Solid-State Electron. 21(1), 9–16 (1978)
228. E.G. Carnemolla, V. Bruno, L. Caspani, M. Clerici, S. Vezzoli, T. Roger, C. DeVault, J. Kim,
A. Shaltout, V. Shalaev et al., Giant nonlinear frequency shift in epsilon-near-zero aluminum
zinc oxide thin films, in CLEO: Science and Innovations (Optical Society of America, 2018),
pp. SM4D–7
229. E.G. Carnemolla, L. Caspani, C. DeVault, M. Clerici, S. Vezzoli, V. Bruno, V.M. Shalaev,
D. Faccio, A. Boltasseva, M. Ferrera, Degenerate optical nonlinear enhancement in epsilonnear-zero transparent conducting oxides. Opt. Mater. Express 8(11), 3392–3400 (2018)
230. A.E. Krasnok, I.S. Maksymov, A.I. Denisyuk, P.Al. Belov, A.E. Miroshnichenko, C.R.
Simovski, Y.S. Kivshar, Optical nanoantennas. Phys.-Uspekhi 56(6), 539 (2013)
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