Nonlinear magneto-optical Kerr effects

The polarization state of a second-harmonic wave after reflection from a se mi-infinite, optically isotropic magnetic medium is considered for the thre e characteristic uniform-magnetization directions corresponding to the line ar magneto-optical Kerr effects. Expressions for the complex amplitudes of the wave field which specify the nonlinear Kerr effects, viz., the polar, m eridional, and equatorial effects, are obtained in a first approximation wi th respect to the magnetization. The dependences of these effects on the an gle of incidence of the inducing wave obtained as a result of a numerical e xperiment are presented. Analytical formulas are found for them at small an gles of incidence. A comparative analysis of the linear and nonlinear Kerr effects is made. (C) 1999 American Institute of Physics. [S1063-7761(99)012 07-X].