A new higher order finite-difference approximation scheme for the method of lines

• A new 5-point and a 7-point nonuniform mesh finite-difference scheme is introduced to approximate the second-derivative operator. The scheme is applied using the method of lines. The necessary interface conditions for the TE and TM fields at an index discontinuity are appropriately included in the derivation. This scheme can model lossy dielectrics as well as metallic layers in a unified way. Numerical results are given for the fundamental TE and TM modes of a high-contrast waveguide and for a metal/dielectric single interface TM surface-plasmon mode showing excellent convergence behavior to the analytical results.

Ämnesord

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

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

Nyckelord

Finite-difference methods; Higher order approximations; Method of lines (MoL); Optical waveguides; Surface plasmon mode; Approximation theory; Dielectric materials; Finite difference method; Mathematical operators; Optimization; Method of lines (MoL); Partial differential equations

Photonics

Fotonik

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)