Thermo-optical effects in Z -scan measurements using high-repetition-rate lasers

In this paper the effects on Z-scan measurements of thermo-optical nonlinearities due to cumulative heating of the sample are investigated. A model calculation of the Z-scan signal induced by thermo-optical nonlinearities is presented which takes into account absorption processes involving an arbitrary number of photons as the sources of nonlinearity. It is quantitatively shown how weak linear or nonlinear absorption coefficients can give rise to large signals depending on the repetition rate of the laser and on the experimental conditions. Conversely, very weak nonlinear absorption coefficients can be measured exploiting the effect of cumulative heating when using a long train of laser pulses. The possibility of separating such thermal contributions from fast optical nonlinearities in Z-scan signals is discussed.

[1]  F. Hernández,et al.  Pulse-Induced Thermal Lensing in Kerr Media , 1995 .

[2]  C A Carter,et al.  Comparison of models describing the thermal lens effect. , 1984, Applied optics.

[3]  L. C. Aamodt,et al.  Size considerations in the design of cells for photoacoustic spectroscopy. II. Pulsed excitation response , 1978 .

[4]  John N. Hayes,et al.  Thermal blooming of laser beams in fluids. , 1972, Applied optics.

[5]  L. Knight,et al.  Laser-induced thermal lens effect: a new theoretical model. , 1982, Applied optics.

[6]  R. Swofford,et al.  Analysis of the repetitively pulsed dual‐beam thermo‐optical absorption spectrometer , 1978 .

[7]  M. Terazima,et al.  Rise profile of the thermal lens signal: Contribution of the temperature lens and the population lens , 1994 .

[8]  Norman J. Dovichi,et al.  Fresnel diffraction theory for steady‐state thermal lens measurements in thin films , 1990 .

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

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

[11]  J. P. Gordon,et al.  Long‐Transient Effects in Lasers with Inserted Liquid Samples , 1965 .

[12]  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 .

[13]  P. Busch,et al.  The quantum theory of measurement , 1991 .

[14]  Jack D. Gaskill,et al.  Linear systems, fourier transforms, and optics , 1978, Wiley series in pure and applied optics.

[15]  C. Verber,et al.  Simple technique to reveal a slow nonlinear mechanism in a z-scanlike n2 measurement. , 1992, Optics letters.

[16]  L. Misoguti,et al.  Characterization of dynamic optical nonlinearities with pulse trains , 1999 .

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

[18]  J. Whinnery,et al.  New thermooptical measurement method and a comparison with other methods. , 1973, Applied optics.

[19]  D. Kliger,et al.  Multiphoton absorption spectra using thermal blooming: I. Theory , 1977 .

[20]  W. Lamb Quantum Theory of Measurement , 1986 .

[21]  L. C. Aamodt,et al.  Photothermal spectroscopy using optical beam probing: Mirage effect , 1980 .

[22]  H. Kawaguchi,et al.  Measurement of nonlinear refractive index by time-resolved z-scan technique , 1999 .

[23]  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.