Determining the mean square deviation σ of surface roughness and the imaginary part of permittivity n''of a planar gradient optical waveguides n(y)= n3+Δn'(y)+ in''(y) = n'(y)+ in''(y), using the integral waveguide scattering method. For experiment two samples are prepared. The first sample using exchange with silver ions and obtained a parabolic profile, subsequently the method of solid-state diffusion of lead oxide in the glass substrate provides a waveguide with a Gaussian distribution profile permittivity. In both cases, laser radiation is used with a wavelength of 0.6328 microns.
We develop the analysis of a structure formed by two planar gradient optical waveguides coupled into a dielectric substrate. Using the numerical method named α κ, matrix equation is developed, to obtain the eigenvalues and eigenvectors that describes the critical frequency and wave modes for different levels of asymmetry of the coupled waveguide.