Higher-order nonlinearity of refractive index: The case of argon

The nonlinear coefficients, n(4), of the time-dependent refractive index for argon are calculated in the non-resonant optical regime. Second-order polynomial fitting of DC-Kerr, gamma((2))(-omega;omega, 0, 0), electric field induced second harmonic generation (ESHG), gamma((2))(-2 omega;omega,omega, 0), and static secon-dorder hyperpolarizability,gamma((2))(0; 0, 0, 0), is performed using an auxiliary electric field approach to obtain the corresponding fourth-order optical properties. A number of basis sets are investigated for the fourth-order hyperpolarizability processes at 800 nm at coupled cluster singles and doubles level of theory, starting with the t-aug-cc-pV5Z basis set and expanding that basis set by adding diffuse functions and polarization functions. Comparison shows that the results obtained with the t-aug-ccpV5Z basis are in very good agreement with the results obtained using the q-aug-cc-pV5Z, t-aug-cc-pV6Z, and q-aug-cc-pV6Z basis sets. To calculate the nonlinear refractive index n(4), an approximate formula is suggested which expresses the related degenerate six-wave mixing coefficient, gamma((2))(-omega;omega, -omega, omega, -omega, omega) in terms of the DC-Kerr,gamma((4))(-omega;omega, 0, 0, 0, 0) ESHG,gamma(4)(-2 omega;omega, omega, 0, 0, 0), and the static fourth-order hyperpolarizability coefficients. The higher-order nonlinear refractive index n4 is found to be positive over the wavelengths 300 nm-2000 nm. In the infrared spectral range, the obtained values of n4 are in qualitative agreement with the results of Kramers-Kronig-based calculations. (C) 2014 AIP Publishing LLC.