Z-scan technique is very powerful and simple in determining both the sign and magnitude of the nonlinear refractive index  and the nonlinear absorption coefficient . The original Z-scan was proposed by Prof.Sheik- Bahae  et al in 1989 identifying nonlinear coefficients  and  through a closed  aperture Z-scan and an open aperture Z-scan1,2 . This method can be called transmittance based Z-scan. Since then, many variants of original Z-scan technique have been developed to enhance the sensitivity and signal-to-noise ratio. According Prof.T.Godin3, these variants can be categorized into 4 types: alteration of the input beam profiler4,5, theory optimization6, alteration of the detection system3,7-10  or modification of the original experimental setup11-14 .

However, when I read articles on the investigating third order nonlinear characteristics of material, the method often used is  Z-scan method of Prof.Sheik- Bahae. Why these variants are not applicable and can not replace the original Z-scan?

Thank you and hoping for your insightful response.

1.M.Sheik-Bahae,  A. A.Said, and E. W. Van Stryland, High-sensitivity, single-beam n2 measurements, Opt. Lett 14(17)  (1989)  955-957.

2.P. B. Chapple, J. Staromlynska, J. A. Hermann, T. J. Mckay, R. G. Mcduff, Single-Beam Z-Scan: Measurement Techniques and Analysis, J. Nonlinear Optic. Phys. Mat, 6(3) (1997) 251-293.

3.T.Godin, M.Fromager, E.Cagniot, R.Moncorgé and K. Aït-Ameur, Baryscan: a sensitive and user-friendly alternative to Z scan for weak nonlinearities measurements. Opt. Lett, 36(8) (2011) 1401-1403.

4.W. Zhao and P. PalffyMuhoray, Zscan technique using tophat beams, Appl. Phys. Lett. 63 (1993) 1613.

5.S. Hughes and J. M. Burzler, Theory of Z-scan measurements using Gaussian-Bessel beams, Phys. Rev. A 56(1997) R1103.

6.R. E. Bridges, G. L. Fisher, and R. W. Boyd, Z-scan measurement technique for non-Gaussian beams and arbitrary sample thicknesses, Opt. Lett. 20(1995)1821.

7.T Xia, M Sheik-Bahae, AA Said, DJ Hagan, Z-scan and EZ-scan measurements of optical nonlinearities, J. Nonlinear Optic. Phys. Mat,  3(04) (1994) 489-500.

8.A. O. Marcano, H. Maillotte, D. Gindre, and D. Métin, Picosecond nonlinear refraction measurement in single-beam open Z scan by charge-coupled device image processing, Opt.Lett. 21(1996)101.

9.G.Boudebs, V.Besse, C.Cassagne, H.Leblond, and F.Sanchez, Why optical nonlinear characterization using imaging technique is a better choice?, In: Transparent Optical Networks (ICTON), 2013 15th International Conference on. IEEE ( 2013) 1-4.

10.G.Tsigaridas, M.Fakis, I.Polyzos, P.Persephonis and V.Giannetas,  Z-scan technique through beam radius measurements, Appl. Phys. B  76(1)(2003) 83-86.

11.G. Boudebs and S. Cherukulappurath, Nonlinear optical measurements using a 4 f coherent imaging system with phase objects, Phys. Rev. A 69(2004) 053813.

12.D. V. Petrov, A. S. L. Gomes, and C. B. De Araujo, Reflection Z-scan technique for measurements of optical properties of surfaces, Appl.Phys. Lett. 65(1994)1067.

13.H. Ma and C. B. De Araujo, Two color Z-scan technique with enhanced sensitivity, Appl. Phys. Lett. 66(1995)1581.

14.A. A. Andrade, E. Tenorio, T. Catunda, M. L. Baesso, A. Cassanho, and H. P. Jenssen, Discrimination between electronic and thermal contributions to the nonlinear refractive index of SrAlF 5: Cr+ 3, J. Opt. Soc. Am. B 16(1999) 395.

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