Title :
Fast three-dimensional split-step algorithm for vectorial wave propagation in integrated optics
Author :
Kunz, A. ; Zimulinda, F. ; Heinlein, W.E.
Author_Institution :
Theor. Electrotech./Optic. Nachrichtentech., Kaiserslautern Univ., Germany
Abstract :
An efficient split-step modification of the finite-difference vector beam propagation methods (BPM) based on transverse magnetic fields is presented. Two substeps are introduced by separately treating and alternating the transverse directions, resulting in a tridiagonal system matrix. The novel scheme reduces calculation effort considerably by maintaining accuracy. To demonstrate this, a circular test structure is chosen of which the exact modal field solution is known. In addition, performance of the algorithm is illustrated by launching a linear polarized Gaussian field into a buried rectangular waveguide where the generation of a stationary field distribution is observed during the propagation process.<>
Keywords :
electromagnetic wave propagation; integrated optics; optical waveguide theory; rectangular waveguides; buried rectangular waveguide; calculation effort; circular test structure; exact modal field solution; fast 3D split-step algorithm; finite-difference vector beam propagation method; integrated optics; linear polarized Gaussian field; propagation process; split-step modification; stationary field distribution; transverse directions; transverse magnetic fields; tridiagonal system matrix; vectorial wave propagation; Artificial intelligence; Difference equations; Finite difference methods; Integrated optics; Laplace equations; Magnetic fields; Optical propagation; Optical waveguides; Rectangular waveguides; Refractive index;
Journal_Title :
Photonics Technology Letters, IEEE
