A construction of beam propagation methods for optical waveguides

Xavier Antoine (1, 2) , Pierre Dreyfuss (3) , Karim Ramdani (1)

1 EDP - Equations aux dérivées partielles
2 CORIDA - Robust control of infinite dimensional systems and applications
3 JAD - Laboratoire Jean Alexandre Dieudonné

This paper presents a systematic method to derive Beam Propagation Models for optical waveguides. The technique is based on the use of the symbolic calculus rules for pseudodifferential operators. The cases of straight and bent optical waveguides are successively considered.

Mots clés: Beam Propagation Method; Bent Waveguides; Optics

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [cs.NA]; Optique [physics.optics]

Xavier Antoine, Pierre Dreyfuss, Karim Ramdani. A construction of beam propagation methods for optical waveguides. Communications in Computational Physics, 2009, 6 (3), pp.565-576. ⟨hal-00429158⟩