After Laplace transforming the reduced radial Helmholtz equation for a weakly guiding optical fiber, we derive an eigenvalue condition for its propagation constant. It is expressed in terms of the ratio of two Laplace-transformation integrals. We show the usefulness of this new condition in connection with the numerical solution of the scalar Helmholtz equation
Published in:
Lightwave Technology, Journal of
(Volume:19
,
Issue:
10
)
Date of Publication: Oct 2001