Piecewise perturbation methods for calculating eigensolutions of a complex optical potential

Abstract It is shown that the piecewise perturbation methods provide a powerful numerical tool for solving the complex eigenvalue problem of the Schrodinger equation in a complex optical potential. One of them, the CPM(2), is compared with the existing NAG subroutines and found substantially faster. We also present appropriate methods to compute the solution in the vicinity of the origin and in the asymptotic region.