Using the method of B splines to design an integrated-optics X splitter fabricated by diffusing titanium into a lithium niobate substrate

Дейнека Г.Б., Серебрякова В.С. Применение метода В-сплайнов для расчета интегрально-оптического Х-разветвителя, изготовленного методом диффузии титана в подложку из ниобата лития // Оптический журнал. 2011. Т. 78. № 2. С. 90–96.

Deyneka G.B., Serebryakova V.S. Using the method of B splines to design an integrated-optics X splitter fabricated by diffusing titanium into a lithium niobate substrate [in Russian] // Opticheskii Zhurnal. 2011. V. 78. № 2. P. 90–96.

G. B. Deĭneka and V. S. Serebryakova, "Using the method of B splines to design an integrated-optics X splitter fabricated by diffusing titanium into a lithium niobate substrate," Journal of Optical Technology. 78(2), 151-155 (2011). https://doi.org/10.1364/JOT.78.000151

This paper presents a universal technique for calculating the parameters of channel optical waveguides. The method of finite elements using the Hermitian set of B splines is proposed as an algorithm. A calculation is carried out for a titanium-diffusion channel optical waveguide on a substrate made from single-crystal lithium niobate. Results are presented of the numerical modelling of radiation propagation by the proposed method in an X-type splitter fabricated using titanium-diffusion technology. It is shown that the B-spline technique makes it possible to design waveguides with an arbitrary refractive-index profile and various geometries for constructing a lightguide structure. The modelling results agree well with the data of an experimental sample of an X splitter.