G. R. Hadley

TL;DR: A new beam-propagation method is presented whereby the exact scalar Helmholtz propagation operator is replaced by any one of a sequence of higher-order Pade approximant operators, resulting in a matrix equation of bandwidth 2n + 1 that is solvable by using Standard implicit solution techniques.

TL;DR: In this article, a new boundary condition was proposed for beam propagation calculations that passes outgoing radiation freely with minimum reflection coefficient (as low as 3*10/sup -8/).

TL;DR: It is shown that the effective index responsible for waveguiding is dependent only on lateral changes in the Fabry-Perot resonance frequency, which leads naturally to new design methods for these lasers that are expected to result in more effective devices with superior modal characteristics.

TL;DR: A new boundary condition algorithm is presented that passes outgoing radiation freely with a minimum reflection coefficient (typically 10(-5)) while inhibiting the flux of incoming radiation.

TL;DR: In this paper, the Pade approximant wide-angle propagation operator is factored into a series of simpler Pade (1, 1) operators, thus leading naturally to a multistep method whose component steps are each solvable by using readily available paraxiallike solution techniques.