Analysis of deep waveguide gratings : an efficient cascading and doubling algorithm in the method of lines framework

• In this work, a computationally fast, numerically stable, and memory-efficient cascading and doubling algorithm is proposed within the method of lines framework to model long planar waveguide gratings having thousands of periods in the propagation direction. This algorithm can model 2(n) grating periods in n calculational steps and needs N-2 matrices for N sample points in the problem space. It can model periodic, quasi-periodic, symmetric, and asymmetric, gratings efficiently. Different deep waveguide gratings are modeled using this scheme and results for the fundamental TE mode spectral reflectivity are compared with published results showing excellent agreement.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Telekommunikation (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Telecommunications (hsv//eng)

Keyword

Beam-propagation methods; Finite-difference methods; Method of lines (MoL); Optical waveguides; Waveguide discontinuities; Waveguide gratings; Algorithms; Computational methods; Diffraction gratings; Finite difference method; Light propagation; Mathematical models; Matrix algebra; Cascading algorithms; Deep waveguide gratings; Doubling algorithms; Method of lines; Optical waveguides

Photonics

Fotonik

Publication and Content Type

ref (subject category)

art (subject category)