Studies on optimizing potential energy functions for maximal intrinsic hyperpolarizability

Abstract

We use numerical optimization to study the properties of (1) the class of one-dimensional potential energy functions and (2) systems of point charges in two-dimensions that yield the largest hyperpolarizabilities, which we find to be within 30% of the fundamental limit. We investigate the character of the potential energy functions and resulting wavefunctions and find that a broad range of potentials yield the same intrinsic hyperpolarizability ceiling of 0.709.

9 pages, 9 figures

References in corpus (3)

• Modulated conjugation as a means for attaining a record high intrinsic hyperpolarizability
• Pushing the hyperpolarizability to the limit
• The Effects of Geometry on the Hyperpolarizability

Cited by in corpus (3)

• A new dipole-free sum-over-states expression for the second hyperpolarizability
• Monte Carlo Studies of the Fundamental Limits of the Intrinsic Hyperpolarizability
• A bird's-eye view of nonlinear-optical processes: unification through scale invariance