Accurate numerical solution of the Helmholtz equation by iterative Lanczos reduction.
The Lanczos recursion algorithm is used to determine forward-propagating solutions for both the paraxial and Helmholtz wave equations for longitudinally invariant refractive indices. By eigenvalue analysis it is demonstrated that the method gives extremely accurate solutions to both equations.
Ratowsky
R P
RP
Fleck
J A
JA