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Theory of waveguide light scattering in an integrated optical waveguide in the presence of noise

“…In contrast to TE and TM modes having three field components [2,[7][8][9], such modes have six field components and do not obey the relationship ∂E/∂y = 0, i.e., the fields vary along the y axis. Therefore, in the general case of three-dimensional irregularities, an arbitrary field distribution of a planar optical waveguide should be represented in the form of an expansion over all the modes of the planar waveguide, including summation and integration over the modes corresponding to the field variations over the second transverse coordinate, i.e., along the y axis.…”

“…Let us find the analytical expression for the Green's function G(r; r ) by the method of modes [1,2,[7][8][9]. For this, we write the solution of inhomogeneous three-dimensional equation (2) in the following form:…”

“…It was demonstrated in our earlier papers [1][2][3][4][5] that waveguide scattering of laser radiation can be used to obtain information on statistical parameters of irregularities from noisy data of far-zone measurements. The scattering patterns measured in the far-field zone were used to obtain an approximate correct solution of the inverse problem of scattering by three-dimensional roughness of the substrate of a planar optical waveguide.…”

Inverse problem of theory of the laser irradiation scattering in two-dimensional irregular integrated optical waveguide in the presence of statistic noise

“…In the Eq. (2) kernel of an integral operator Φ(β , γ) is continuous on a totality of variables (β , γ) in the closed area 3 , n 3 is the refraction index of a WG substrate. The deviation of a right part in Eq.…”

“…It is supposed that the scattering of light occurs on a roughness treated of the same type (i.e. from one ergodic ensemble) quartz plates [3,5].…”