Calculation of Nonlinear Susceptibility Tensor Components in Ferroelectrics

Abstract

We present the formalism within which all second and third order nonlinear susceptibility coefficients can be calculated from the Landau expansion for an isotropic paraelectric phase by means of the Landau-Khalatnikov dynamical equations. Both first-order and second-order phase transitions are considered. Detailed results are given for all the second-order coefficients in the ferroelectric phase and for third harmonic generation, intensity-dependent refractive index and d.c. Kerr effect in both paraelectric and ferroelectric phases.

Electromagnetically induced switching of ferroelectric thin films

“…A phenomenological description of ferroelectricity due to Landau and Khalatnikov [20,21,25] gives the following Lagrangian density for the interaction of an electromagnetic field and a dielectric medium…”

Third Harmonic Generation in Antiferroelectric Crystals Applied to the Generation of Terahertz Waves from a Microwave Input

“…The THG susceptibility coefficient in (8) together with (7) show that the third harmonic will be generated by the nonlinear response of the antiferroelectric.…”

“…Using the Landau-Khalatnikov dynamical equations Ishibashi and Orihara [5] have shown how to derive expressions for the nonlinear dynamic dielectric response, that is, the nonlinear susceptibility coefficients, for third order nonlinearities in the paraelectric phase above the Curie temperatureT C . Subsequently calculations of the susceptibilities have been extended to ferroelectric and antiferroelectric phases for a variety of cases [6][7][8][9].…”

Harmonic Generation in Nanoscale Ferroelectric Films

“…The tensors appear because of the anisotropy of ferroelectric crystals. However depending on the symmetry group some of the tensor elements may vanish (Murgan et al, 2002;Osman et al, 1998). The tensor components appear as unknowns in the constitutive relations.…”