Krzysztof Parjaszewski

Publications

• Understanding the Kramers-Kronig relation in nonlinear optics

  K. Parjaszewski, M. Samoc

  PANIC 2010 Conference / Wroclaw University of Technology. 01/2010;

  A brief review of linear and nonlinear Kramers-Kronig relations is presented. Theoretical approach has been used to determine the real part of complex cubic hyperpolarizability from its measured imaginary part in the case of Coumarine 307. We have also calculated the complex hyperpolarizability for ... [more] A brief review of linear and nonlinear Kramers-Kronig relations is presented. Theoretical approach has been used to determine the real part of complex cubic hyperpolarizability from its measured imaginary part in the case of Coumarine 307. We have also calculated the complex hyperpolarizability for a simple theoretical model of cubic hyperpolarizability for the double degenerate case γ(ω1; ω1, ω2, -ω2). Numerical calculations, taking the integration singularity into account, are presented with MATLAB® 2D- and 3D- plots. The results are discussed and we suggest that better numerical integration techniques and also better understanding of the nonlinear Kramers-Kronig relations is necessary to expand the current known nonlinear optical physical model of properties of materials and to explain the growing body of experimental data. The use of dispersion expressions derived from the perturbation theory will be the second step in our pursuit to understand the dispersion of the cubic hyperpolarizability.