Title :
Propagation constant of weakly guiding optical fibers: a new eigenvalue condition
Author :
Paiano, Giulio ; Pellicoro, Mario
Author_Institution :
Dipartimento di Fisica, Bari Univ., Italy
fDate :
10/1/2001 12:00:00 AM
Abstract :
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
Keywords :
Helmholtz equations; Laplace transforms; eigenvalues and eigenfunctions; integral equations; optical fibre theory; Laplace transforming; Laplace-transformation integrals; eigenvalue condition; numerical solution; propagation constant; reduced radial Helmholtz equation; scalar Helmholtz equation; weakly guiding optical fibers; Approximation methods; Dispersion; Eigenvalues and eigenfunctions; Integral equations; Laplace equations; Nonlinear equations; Optical fiber communication; Optical fiber polarization; Optical fibers; Propagation constant;
Journal_Title :
Lightwave Technology, Journal of
