Theory of Thin Sample z-scan of a New Class of Nonlinear Materials

  • Kim, Yong-K. (Dept. of Electrical/Electronics, Information Engineering, Wonkwang University)
  • 발행 : 2003.12.01

초록

We report the theory of thin-sample Z -scan for materials, viz. diffusion-dominated photorefractives, having a nonlinearly induced phase that may be proportional to the spatial derivative of the intensity profile. The on-axis far-field intensity is approximately an even function of the scan distance on different positive and negative values for phase shift $\Delta$$\Phi$$_{o}$. In case of positive phase shift, the Z -scan graph shows a minimum and two maxima, while for the negative value, only one minimum is observed. The fact is that far-field beam profiles display beam distortion and shift of the peak as compared with Kerr-type or photovoltaic nonlinearities.s.

키워드

참고문헌

  1. M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagen, and E. W. Van Stryland, 'Sensitive measurement of optical nonlinearities using a single beam,' IEEE. J. Quantum Electron, vol. 26, p.760-769 (1990) https://doi.org/10.1109/3.53394
  2. P. P, Banerjee, R. M. Misra and M. Maghraoui, 'Theoretical and experimental studies of propagation of beams through a finite sample of a cubically nonlinear material, ' J. Opt. Soc. Am. B., vol. 8, p.1072-1080 (1991)
  3. P.B. Chapple, J. Staromlynska and R.G. McDuff, ' Z-scan tudies in the thin and the thick-sample limits', J. Opt. Soc. Am. B., vol. 11, p.975-982 (1994)
  4. R. L. Sutherland, 'Effect of multiple internal sample reflections on nonlinear refractive z-scan measurement,' App. Opt., vol. 33, p.5571- 5575 (1994)
  5. S. M. Main, S. B. McGee, N. Melikechi, 'Experimental and theoretical investigation of thermal lensing effects in mode-locked femtosecond Z-scan experiments', Opt. Comm., vol. 207, p.339-345 (2002)
  6. R. Desalvo, M. Sheik-Bahae, A. A. Said, D. J. Hagen, and E. W. Van Stryland, 'Z- scan measurements of the anisotropy of nonlinear refraction and absorption in crystals', Opt. Lett., vol.18, p.194-196 (1993)
  7. Q. W. Song, C-P Zhang, P.J. Talbot and J. Maurice, 'Anisotropic light-induced scattering and position dispersion in Knb$O_{3}$ : Fe crystal', Opt. Comm., vol.98, p.269-273 (1993)
  8. G. Yang, W. Wang, L. Yan, H. Lu, G. Yang and Z. Chen, ' Z-scan determination of the third-order optical nonlinearity of Rh:BaTi$O_{3}$ thin films deposited on MgO substrates', Opt. Comm., vol.209, p.445-449(2002)
  9. P. Banerjee, N. Kukhtarev and J.O. Dimock, 'Nonlinear self-organization in photorefractive materials', invited book chapter in Photo refractive Materials and Applications, F.T.S. Yu ed., Academic, New York (2000)
  10. M.A. Noginov, S.W. Helzer, G.B. Lotts, A. Booker, P. P. Banerjee, Yong K. Kim, and R.A. Linke, ' Study of photorefraction response and diffraction efficiency in Mn:YA103 crystals', J. Opt. Soc. Am. B., vol. 20, No.6, pp. 1233-1240 (2003)
  11. P..P. Banerjee and Y. Kim, 'Study of thin-sample z-scan of a new class of nonlinear materials', presented at the 1997 OSA, Annual Meeting, Long Beach, Calif, October 12-17 (1997)
  12. P. P. Banerjee, and Ting-Chung Poon: Principles of Applied Optics, Aksen, Boston (1991)
  13. I. S. Gradshteyn, I.M. Ryzhik, A. Jeffrey, and D. Zwillinger, Table of Integrals, Series, and Products, Academic Press, New York, 6th ed., (2000)
  14. A. Yarive, Optical Electronics, Saunders College, New York, 4th ed., (1991)