“…Furthermore, the bulk refractive index nb(,\) is found by the modified Sellmeier's equation. 8 With the information mentioned above, the whole refractive index profile of the Ti/Mg:LiNbO3 channel waveguide is given by n(y, z, ) = flTi(Y, z, A) + flMg(Y, Z, ) + nb() (2) Although, the Mg-induced refractive index change LnMg(y,z,\ ) can not be calculated directly, but it can be calculdted from both of the fractional index changes to the Mg concentration dn/dc and Sellmerier's equation. n2=A+2c_D2 (3) where n is the refractive index of LiNbO3 , the constants A, B, C, and D are referred from the published data.7 In addition, the approximation of LnT(y,z,A) can be obtained from the wavelength dispersion of Ti induced refractive index changes on the surface in the planner where /-'Ti iS the maximum refractive index changes on the surface, Bo(\)and B1 (A) are the dispersion factors, a is the constant coefficients6.…”