Calculation of Second-Order Nonlinear Optical Coefficients of KTiOPO4and KTiOAsO4

The second-order nonlinear optical tensor coefficients of both KTiOPO4(KTP) and KTiOAsO4(KTA) are calculated from the chemical bond viewpoint. All constituent chemical bonds of both crystals are considered, and contributions of each type of bond to the total linearity and nonlinearity are determined. Calculated results agree satisfactorily with experimental data in both signs and numerical values. The calculation shows that though TiO6groups and P(1)O4or As(1)O4groups have relatively larger linear contributions, they can only produce an advantageous environment for KOx(x=8, 9) groups and P(2)O4or As(2)O4groups in nonlinear optical contributions. The origin of nonlinearity of KTP family crystals comes from the KOx(x=8, 9) and P(2)O4groups in their crystal structures. Furthermore, the difference in optical nonlinearities of KTP type crystals is analyzed, based on the detailed calculation of nonlinearities of both KTP and KTA.