Techniques for nonlinear optical characterization of materials: a review

Various techniques to characterize the nonlinear (NL) optical response of centro-symmetric materials are presented and evaluated with emphasis on the relationship between the macroscopic measurable quantities and the microscopic properties of photonic materials. NL refraction and NL absorption of the materials are the phenomena of major interest. The dependence of the NL refraction and NL absorption coefficients on the nature of the materials was studied as well as on the laser excitation characteristics of wavelength, intensity, spatial profile, pulse duration and pulses repetition rate. Selected experimental results are discussed and illustrated. The various techniques currently available were compared and their relative advantages and drawbacks were evaluated. Critical comparisons among established techniques provided elements to evaluate their accuracies and sensitivities with respect to novel methods that present improvements with respect to the conventional techniques.

[1]  Kuzyk Characterization Techniques and Tabulations for Organic Nonlinear Optical Materials , 2018 .

[2]  M. Fujii,et al.  Second-order nonlinear optical behavior of amorphous SiOx thin films grown by sputtering , 2015 .

[3]  C. B. de Araújo,et al.  Measurements of the nonlinear refractive index in scattering media using the Scattered Light Imaging Method--SLIM. , 2015, Optics express.

[4]  A. Alú,et al.  Enhanced Second-Harmonic Generation by Metasurface Nanomixer and Nanocavity , 2015 .

[5]  Dominik F. Floess,et al.  Strong Enhancement of Second Harmonic Emission by Plasmonic Resonances at the Second Harmonic Wavelength. , 2015, Nano letters.

[6]  P. K. Sahoo,et al.  Surface second harmonic generation from silicon pillar arrays with strong geometrical dependence. , 2015, Optics letters.

[7]  C. B. de Araújo,et al.  An optimization procedure for the design of all-optical switches based on metal-dielectric nanocomposites. , 2015, Optics express.

[8]  Chengxin Wang,et al.  Directional Fano resonance in a silicon nanosphere dimer. , 2015, ACS nano.

[9]  B. Mendoza,et al.  Theory of surface second-harmonic generation for semiconductors including effects of nonlocal operators , 2015 .

[10]  M. Kuittinen,et al.  Second-harmonic generation from metal nanoparticles: resonance enhancement versus particle geometry. , 2015, Nano letters.

[11]  Igal Brener,et al.  Enhanced third-harmonic generation in silicon nanoparticles driven by magnetic response. , 2014, Nano letters.

[12]  A. J. Jesus-Silva,et al.  Near infrared nonlinear refractive index dispersion of metallic and semiconducting single-wall carbon nanotube colloids , 2014 .

[13]  C. B. de Araújo,et al.  Spatial phase modulation due to quintic and septic nonlinearities in metal colloids. , 2014, Optics express.

[14]  C. Schnébelin,et al.  Measurements of the third- and fifth-order optical nonlinearities of water at 532 and 1064 nm using the D4σ method. , 2014, Optics letters.

[15]  Y. Messaddeq,et al.  Near-infrared nonlinearity of a multicomponent tellurium oxide glass at 800 and 1,064 nm , 2014 .

[16]  Albert S. Reyna,et al.  Nonlinearity management of photonic composites and observation of spatial-modulation instability due to quintic nonlinearity , 2014, 1402.3345.

[17]  Elsa Garmire,et al.  Nonlinear optics in daily life. , 2013, Optics express.

[18]  B. Nordén,et al.  Multiphoton absorption in amyloid protein fibres , 2013, Nature Photonics.

[19]  Matthew Reichert,et al.  Beam deflection measurement of time and polarization resolved ultrafast nonlinear refraction. , 2013, Optics letters.

[20]  M. Vaziri Z-scan theory for nonlocal nonlinear media with simultaneous nonlinear refraction and nonlinear absorption. , 2013 .

[21]  G. Boudebs,et al.  Nonlinear characterization of materials using the D4σ method inside a Z-scan 4f-system. , 2013, Optics letters.

[22]  M. D. Iturbe Castillo,et al.  Sensitivity optimization of the one beam Z-scan technique and a Z-scan technique immune to nonlinear absorption. , 2013, Optics express.

[23]  O. Martin,et al.  Augmenting second harmonic generation using Fano resonances in plasmonic systems. , 2013, Nano letters.

[24]  G. Boudebs,et al.  Experimental techniques using 4f coherent imaging system for measuring nonlinear refraction , 2013 .

[25]  L. Kassab,et al.  Enhanced Optical Properties of Germanate and Tellurite Glasses Containing Metal or Semiconductor Nanoparticles , 2013, TheScientificWorldJournal.

[26]  V. Lysenko,et al.  Plasmon-enhanced nonlinear optical properties of SiC nanoparticles , 2013, Nanotechnology.

[27]  Hervé Leblond,et al.  Robust two-dimensional spatial solitons in liquid carbon disulfide. , 2013, Physical review letters.

[28]  David J. Hagan,et al.  Dual-arm Z-scan technique to extract dilute solute nonlinearities from solution measurements , 2012 .

[29]  Y. Tomita,et al.  Closed-Aperture Z-Scan Analysis for Nonlinear Media with Saturable Absorption and Simultaneous Third- and Fifth-Order Nonlinear Refraction , 2012 .

[30]  A. M. van der Zande,et al.  Regenerative oscillation and four-wave mixing in graphene optoelectronics , 2012, Nature Photonics.

[31]  M. Fokine,et al.  Gold nanoparticles on the surface of soda-lime glass: morphological, linear and nonlinear optical characterization. , 2012, Optics express.

[32]  Roland G. S. Goh,et al.  Giant broadband nonlinear optical absorption response in dispersed graphene single sheets , 2011 .

[33]  Manivannan Ethirajan,et al.  The role of porphyrin chemistry in tumor imaging and photodynamic therapy. , 2011, Chemical Society reviews.

[34]  M. Fromager,et al.  Baryscan: a sensitive and user-friendly alternative to Z scan for weak nonlinearities measurements. , 2011, Optics letters.

[35]  G. Boudebs,et al.  Sensitivity of Z-scan using diffraction efficiency , 2011 .

[36]  Y. Markushin,et al.  Determination of linear and nonlinear absorption of metallic colloids using photothermal lens spectrometry , 2011 .

[37]  A. A. Dakhel,et al.  Investigation of nonlinear optical properties of gold nanograins embedded in indium oxide films by reflection Z-scan using continuous laser , 2010 .

[38]  R. E. Araujo,et al.  Nonlinear optical properties of aromatic amino acids in the femtosecond regime , 2010 .

[39]  A. Moreac,et al.  Photo-stability of pulsed laser deposited Ge(x)As(y)Se(100-x-y) amorphous thin films. , 2010, Optics express.

[40]  M. Fischer,et al.  Measurements of nonlinear refractive index in scattering media. , 2010, Optics express.

[41]  G. Boudebs,et al.  Degenerate multi-wave mixing inside a 4f imaging system in presence of nonlinear absorption , 2010 .

[42]  Ivo M Vellekoop,et al.  Turbidity suppression from the ballistic to the diffusive regime in biological tissues using optical phase conjugation. , 2010, Journal of biomedical optics.

[43]  Yuxiao Wang,et al.  Reflection 4f coherent imaging technique for measurements of optical nonlinearity , 2010 .

[44]  Fabrizio Martelli,et al.  Light Propagation Through Biological Tissue and Other Diffusive Media: Theory, Solutions, and Software , 2009 .

[45]  R. E. de Araujo,et al.  Hartmann-Shack wavefront sensing for nonlinear materials characterization. , 2009, Optics express.

[46]  M. C. Mancini,et al.  Bioimaging: second window for in vivo imaging. , 2009, Nature nanotechnology.

[47]  Y. Messaddeq,et al.  Nonresonant third-order nonlinear properties of NaPO3―WO3―Bi2O3 glasses in the near infrared , 2009 .

[48]  John E. Sipe,et al.  Experimental observation of a microscopic cascaded contribution to the fifth-order nonlinear susceptibility , 2009, 2009 Conference on Lasers and Electro-Optics and 2009 Conference on Quantum electronics and Laser Science Conference.

[49]  H. Ganther,et al.  Selenium: biochemical role as a component of glutathione peroxidase. , 2009, Science.

[50]  F. Charpentier,et al.  Photoinduced effects in thin films of Te20As30Se50 glass with nonlinear characterization , 2009 .

[51]  G. Boudebs,et al.  Sensitivity of the 4f coherent imaging system used in degenerate multiwave mixing experiments , 2009 .

[52]  Pablo Artal,et al.  Temporal wavefront stability of an ultrafast high-power laser beam. , 2009, Applied optics.

[53]  Anderson S. L. Gomes,et al.  Evaluation of the third-order nonlinear optical properties of tellurite glasses by thermally managed eclipse Z-scan , 2009 .

[54]  Yinglin Song,et al.  Direct observation of the transient thermal-lensing effect using the phase-object Z-scan technique. , 2009, Optics letters.

[55]  G. Boudebs,et al.  Erratum: “Degenerate multi-wave mixing using Z-scan technique” [Appl. Phys. Lett. 93, 021118 (2008)] , 2008 .

[56]  Qin Zhong,et al.  Optical Kerr effect spectroscopy of simple liquids. , 2008, The journal of physical chemistry. B.

[57]  K. Ogusu,et al.  Optical nonlinearities in silicon for pulse durations of the order of nanoseconds at 1.06 microm. , 2008, Optics express.

[58]  I. Mihailova,et al.  Second harmonic generation in selenium-metal structures , 2008, International Conference on Advanced Optical Materials and Devices.

[59]  G. Boudebs,et al.  Degenerate multiwave mixing using Z-scan technique , 2008 .

[60]  Xueru Zhang,et al.  Time-resolved pump-probe system based on a nonlinear imaging technique with phase object. , 2008, Optics express.

[61]  Yinglin Song,et al.  Measurements of third-order nonlinearity of inhomogeneous samples using nonlinear-imaging technique with a phase object , 2008 .

[62]  R. Ganeev Single-shot reflection Z-scan for measurements of the nonlinear refraction of nontransparent materials , 2008 .

[63]  D. Psaltis,et al.  OPTICAL PHASE CONJUGATION FOR TURBIDITY SUPPRESSION IN BIOLOGICAL SAMPLES. , 2008, Nature photonics.

[64]  John E. Sipe,et al.  Cascaded nonlinearity caused by local-field effects in the two-level atom , 2007 .

[65]  Cid B. de Araújo,et al.  High-order nonlinearities of aqueous colloids containing silver nanoparticles , 2007 .

[66]  J. Yao,et al.  Study of nonlinear absorption in GaAs/AlGaAs multiple quantum wells using the reflection Z-scan , 2007 .

[67]  Ion Cohanoschi,et al.  Z-scan theoretical analysis for three-, four- and five-photon absorption , 2007 .

[68]  R. E. Araujo,et al.  Femtosecond nonlinear optical properties of lead-germanium oxide amorphous films , 2007 .

[69]  G. Yang Laser ablation in liquids : Applications in the synthesis of nanocrystals , 2007 .

[70]  R. E. de Araujo,et al.  Thermally managed eclipse Z-scan. , 2007, Optics express.

[71]  F. Wise,et al.  Measurement of fifth- and seventh-order nonlinearities of glasses , 2006 .

[72]  L. Razzari,et al.  Z-scan measurements using high repetition rate lasers: how to manage thermal effects. , 2005, Optics express.

[73]  Georges Boudebs,et al.  Nonlinear refraction measurements in presence of nonlinear absorption using phase object in a 4f system , 2005 .

[74]  Michel Orrit,et al.  Third-harmonic generation from single gold nanoparticles. , 2005, Nano letters.

[75]  G. Boudebs,et al.  Characterization of light-induced modification of the nonlinear refractive index using a one-laser-shot nonlinear imaging technique , 2004 .

[76]  L. Misoguti,et al.  Z-scan measurements using femtosecond continuum generation. , 2004, Optics express.

[77]  Georges Boudebs,et al.  Nonlinear optical measurements using a 4 f coherent imaging system with phase objects , 2004 .

[78]  E. V. Van Stryland,et al.  White-light continuum Z-scan technique for nonlinear materials characterization. , 2004, Optics express.

[79]  André Monteil,et al.  4f coherent imager system and its application to nonlinear optical measurements , 2004 .

[80]  Mansoor Sheik-Bahae,et al.  Absorption spectra of wide-gap semiconductors in their transparency region , 2003 .

[81]  Leslie M Loew,et al.  Second-harmonic imaging microscopy for visualizing biomolecular arrays in cells, tissues and organisms , 2003, Nature Biotechnology.

[82]  Pablo Artal,et al.  Confocal scanning laser ophthalmoscope with adaptive optical wavefront correction , 2003, SPIE BiOS.

[83]  Emmanuel Koudoumas,et al.  An experimental investigation of the nonlinear refractive index (n2) of carbon disulfide and toluene by spectral shearing interferometry and z-scan techniques , 2003 .

[84]  Qiguang Yang,et al.  Distortions in Z-scan spectroscopy , 2003 .

[85]  P. Maddalena,et al.  Second-harmonic generation in amorphous silicon nitride microcavities , 2002 .

[86]  A. Gaeta,et al.  Conical harmonic generation in isotropic materials. , 2002, Physical review letters.

[87]  S. Rolston,et al.  Nonlinear and quantum atom optics , 2002, Nature.

[88]  C. Afonso,et al.  Limits to the determination of the nonlinear refractive index by the Z-scan method , 2002 .

[89]  E. A. Gouveia,et al.  Time analogue of the z-scan technique suitable to waveguides , 2001 .

[90]  N. Melikechi,et al.  High-sensitivity absorption measurement in water and glass samples using a mode-mismatched pump-probe thermal lens method , 2001 .

[91]  S. Alexandrova,et al.  Second harmonic generation in hydrogenated amorphous silicon , 2000 .

[92]  Anderson S. L. Gomes,et al.  Investigation of picosecond optical nonlinearity in porphyrin metal complexes derivatives , 2000 .

[93]  A. Gomes,et al.  Exploitation of the Z-scan technique as a method to optically probe pK(a) in organic materials: application to porphyrin derivatives. , 2000, Optics letters.

[94]  M. Falconieri,et al.  Thermo-optical effects in Z -scan measurements using high-repetition-rate lasers , 1999 .

[95]  M. Falconieri,et al.  Simultaneous measurement of pure-optical and thermo-optical nonlinearities induced by high-repetition-rate, femtosecond laser pulses: application to CS2 , 1999 .

[96]  A. Zheltikov,et al.  Coherent four-wave mixing in excited and ionized gas media: four-photon spectrochronography, ellipsometry, and nonlinear-optical imaging of atoms and ions , 1999 .

[97]  J. R. Leite,et al.  Sensitivity-enhanced reflection Z-scan by oblique incidence of a polarized beam , 1998 .

[98]  André Monteil,et al.  Contrast increasing by third-order nonlinear image processing: a numerical study for microscopic rectangular objects , 1998 .

[99]  R. Knize,et al.  Linear optical effects in z-scan measurements of thin films. , 1998, Applied optics.

[100]  F. Gonella,et al.  Laser-induced sign reversal of the nonlinear refractive index of Ag nanoclusters in soda-lime glass , 1998 .

[101]  M. Sheik-Bahae,et al.  Measurements of nonlinear refraction in the second-order χ(2) materials KTiOPO4, KNbO3, β-BaB2O4, and LiB3O5 , 1997 .

[102]  J. A. Hermann,et al.  Single-Beam Z-Scan: Measurement Techniques and Analysis , 1997 .

[103]  J. Burzler,et al.  THEORY OF Z-SCAN MEASUREMENTS USING GAUSSIAN-BESSEL BEAMS , 1997 .

[104]  E. Sleeckx,et al.  Optical properties of amorphous Se films prepared by PECVD , 1997 .

[105]  K. Duppen,et al.  Time resolved four- and six-wave mixing in liquids. II. Experiments , 1997 .

[106]  Robert W. Boyd,et al.  Optical Properties of Nanostructured Optical Materials , 1996 .

[107]  Georges Boudebs,et al.  Third-order susceptibility measurements by nonlinear image processing , 1996 .

[108]  Dmitri V. Petrov,et al.  Reflection Z-scan technique for the study of nonlinear refraction and absorption of a single interface and thin film , 1996 .

[109]  M. Sheik-Bahae,et al.  Femtosecond Kerr-lens autocorrelation. , 1996, Optics letters.

[110]  Huimin Liu,et al.  Intensity scan and two photon absorption and nonlinear refraction of C60 in toluene , 1996 .

[111]  Anderson S. L. Gomes,et al.  Reflection of a Gaussian beam from a saturable absorber , 1996 .

[112]  S. Zilio,et al.  Single-beam time-resolved Z-scan measurements of slow absorbers , 1994 .

[113]  C. Araújo,et al.  Time shortening of laser pulses as an application of dynamical light-bending effects , 1994 .

[114]  Anderson S. L. Gomes,et al.  Reflection Z‐scan technique for measurements of optical properties of surfaces , 1994 .

[115]  Philip B. Chapple,et al.  Z-scan studies in the thin- and the thick-sample limits , 1994 .

[116]  Mansoor Sheik-Bahae,et al.  Time-resolved Z-scan measurements of optical nonlinearities , 1994 .

[117]  Mansoor Sheik-Bahae,et al.  Eclipsing Z-scan measurement of λ/10 4 wave-front distortion , 1994 .

[118]  V. Kozich,et al.  Thermal lensing resulting from one- and two-photon absorption studied with a two-color time-resolved Z scan. , 1994, Optics letters.

[119]  C. Araújo,et al.  Light‐controlled beam deflector in semiconductor doped glasses , 1993 .

[120]  J. Etchepare,et al.  Nonresonant fifth-order nonlinearities induced by ultrashort intense pulses , 1993 .

[121]  Peter Palffy-Muhoray,et al.  Z-scan technique using top-hat beams , 1993, OSA Annual Meeting.

[122]  A. Gomes,et al.  Cascade contributions in the high-order optical nonlinearity measurement , 1993 .

[123]  Gomes,et al.  Observation of spatial cross-phase modulation effects in a self-defocusing nonlinear medium. , 1992, Physical review letters.

[124]  Mansoor Sheik-Bahae,et al.  Determination of bound-electronic and free-carrier nonlinearities in ZnSe, GaAs, CdTe, and ZnTe , 1992 .

[125]  E. W. Stryland,et al.  Measurement of nondegenerate nonlinearities using a two-color Z scan. , 1992, Optics letters.

[126]  A. Gomes,et al.  Measurements of nondegenerate optical nonlinearity using a two-color single beam method , 1991 .

[127]  M. Fejer,et al.  Periodically poled LiNbO3 for high‐efficiency second‐harmonic generation , 1991 .

[128]  P. N. Butcher,et al.  The Elements of Nonlinear Optics , 1990 .

[129]  A. Gomes,et al.  Ultrafast chi /sup (3)/-related processes in semiconductor doped glasses , 1990 .

[130]  Agrawal Induced focusing of optical beams in self-defocusing nonlinear media. , 1990, Physical review letters.

[131]  E. W. Stryland,et al.  Sensitive Measurement of Optical Nonlinearities Using a Single Beam Special 30th Anniversary Feature , 1990 .

[132]  E. W. Stryland,et al.  High-sensitivity, single-beam n(2) measurements. , 1989, Optics letters.

[133]  Y. Shen,et al.  Surface properties probed by second-harmonic and sum-frequency generation , 1989, Nature.

[134]  Anderson S. L. Gomes,et al.  Measurement of high‐order optical nonlinear susceptibilities in semiconductor‐doped glasses , 1988 .

[135]  M. Ducloy,et al.  Degenerate multiwave mixing in SF6 , 1988 .

[136]  D. Ricard,et al.  Nonlinear optical properties of commercial semiconductor-doped glasses , 1987 .

[137]  Shen,et al.  General considerations on optical second-harmonic generation from surfaces and interfaces. , 1986, Physical review. B, Condensed matter.

[138]  R. Raj,et al.  Direct observation of high-order optical susceptibilities via angularly-resolved multiwave mixing , 1984 .

[139]  Yaochun Shen,et al.  Introduction to Nonlinear Laser Spectroscopy , 1984 .

[140]  Yaochun Shen Principles of nonlinear optics , 1984 .

[141]  Richard C. Lind,et al.  Degenerate four-wave mixing in semiconductor-doped glasses , 1983 .

[142]  N. Bloembergen Nonlinear optics and spectroscopy. , 1982, Science.

[143]  R. Jain Degenerate Four-Wave Mixing In Semiconductors: Application To Phase Conjugation And To Picosecond-Resolved Studies Of Transient Carrier Dynamics , 1982 .

[144]  A. Boccara,et al.  Photothermal deflection spectroscopy and detection. , 1981, Applied optics.

[145]  Yuen-Ron Shen,et al.  Surface-enhanced Second-harmonic Generation , 1981 .

[146]  D. Chemla Non-linear optical properties of condensed matter , 1980 .

[147]  R. Lind,et al.  Degenerate four-wave mixing near the band gap of semiconductors (A) , 1979 .

[148]  Eli Yablonovitch,et al.  Anisotropic Interference of Three-Wave and Double Two-Wave Frequency Mixing in GaAs , 1972 .

[149]  M. Duguay,et al.  AN ULTRAFAST LIGHT GATE , 1969 .

[150]  M. Brodin,et al.  Observation of self-bending of a non-uniform intense laser beam in an NaCl crystal , 1969 .

[151]  J. Goodman Introduction to Fourier optics , 1969 .

[152]  Sudhanshu S. Jha,et al.  OPTICAL SECOND HARMONIC GENERATION IN REFLECTION FROM MEDIA WITH INVERSION SYMMETRY. , 1968 .

[153]  N. Bloembergen,et al.  Second-Harmonic Generation of Light in Reflection from Media with Inversion Symmetry , 1966 .

[154]  Charles H. Townes,et al.  Self-trapping of optical beams , 1964 .

[155]  R. W. Terhune,et al.  Intensity-Dependent Changes in the Refractive Index of Liquids , 1964 .

[156]  E. Adler,et al.  Nonlinear Optical Frequency Polarization in a Dielectric , 1964 .

[157]  A. Green,et al.  The Theory, Measurement, and Applications of Very-Low-Frequency Magnetotelluric Variations , 1962, Proceedings of the IRE.

[158]  N. Bloembergen,et al.  Interactions between light waves in a nonlinear dielectric , 1962 .

[159]  C. Peters,et al.  Generation of optical harmonics , 1961 .

[160]  T. R. Oliveira,et al.  Nonlinear optical properties of PbO–GeO2 films containing gold nanoparticles , 2013 .

[161]  M. R. Rashidian Vaziri Z-scan theory for nonlocal nonlinear media with simultaneous nonlinear refraction and nonlinear absorption. , 2013, Applied optics.

[162]  E. Vauthey Introduction to nonlinear optical spectroscopy , 2012 .

[163]  Yanpeng Zhang,et al.  Multi-Wave Mixing Processes , 2009 .

[164]  F. Song,et al.  Analytic solutions to Z-scan characteristics of thick media with nonlinear refraction and nonlinear absorption , 2004 .

[165]  M. Fakis,et al.  Z-scan technique through beam radius measurements , 2003 .

[166]  C. Garrett,et al.  Two-photon excitation in CaF2:Eu2+ , 2003 .

[167]  Aristides Marcano,et al.  Pump–probe mode-mismatched thermal-lens Z scan , 2002 .

[168]  David J. Williams,et al.  Introduction to Nonlinear Optical Effects in Molecules and Polymers , 1991 .

[169]  Yaochun Shen,et al.  Optical Second Harmonic Generation at Interfaces , 1989 .

[170]  Govind P. Agrawal,et al.  Population pulsations and nondegenerate four-wave mixing in semiconductor lasers and amplifiers , 1988 .

[171]  G. Richmond,et al.  Second harmonic generation studies of interfacial structure and dynamics , 1988 .

[172]  Amnon Yariv,et al.  Theory and applications of four-wave mixing in photorefractive media , 1984 .

[173]  A. Kaplan Bending of Trajectories of Asymmetrical Light Beams in Nonlinear Media , 1969 .