Title :
Unification of TE and TM beam propagation algorithms
Author :
Poladian, L. ; Ladouceur, F.
Author_Institution :
Opt. Fibre Technol. Centre, Sydney Univ., NSW, Australia
Abstract :
We present a formalism that unifies TE and TM beam propagation for both uniform and nonuniform structures. This implies that any TE propagation algorithm can also be applied to TM fields without further approximations, including the classical fast Fourier transform (FFT) beam propagator. In particular, we derive a paraxial TM propagator which correctly conserves power for uniform and nonuniform structures. We also clarify the role played by the reference background index when it is adjusted dynamically in adaptive propagators.
Keywords :
Fourier transform optics; approximation theory; electromagnetic field theory; electromagnetic wave propagation; optical waveguide theory; refractive index; waveguide theory; TE beam propagation algorithms; TM beam propagation algorithms; TM fields; adaptive propagators; approximations; classical fast Fourier transform beam propagator; fast FT beam propagator; nonuniform structures; reference background index; uniform structures; Australia; Fast Fourier transforms; Geometry; Optical waveguides; Partial differential equations; Photonics; Planar waveguides; Refractive index; Space technology; Tellurium;
Journal_Title :
Photonics Technology Letters, IEEE
