Lowest-order relativistic corrections to the fundamental limits of nonlinear-optical coefficients

Abstract

The effects of small relativistic corrections to the off-resonant polarizability, hyperpolarizability, and second hyperpolarizability are investigated. Corrections to linear and nonlinear optical coefficients are demonstrated in the three-level ansatz, which includes corrections to the Kuzyk limits when scaled to semi-relativistic energies. It is also shown that the maximum value of the hyperpolarizability is more sensitive than the maximum polarizability or second hyperpolarizability to lowest-order relativistic corrections. These corrections illustrate how the intrinsic nonlinear-optical response is affected at semi-relativistic energies.

9 pages and 4 figures

References in corpus (5)

• Modulated conjugation as a means for attaining a record high intrinsic hyperpolarizability
• Pushing the hyperpolarizability to the limit
• Studies on optimizing potential energy functions for maximal intrinsic hyperpolarizability
• A new dipole-free sum-over-states expression for the second hyperpolarizability
• Monte Carlo Studies of the Fundamental Limits of the Intrinsic Hyperpolarizability

Cited by in corpus (5)

• Physics of the fundamental limits of nonlinear optics: A theoretical perspective
• The second hyperpolarizability of systems described by the space-fractional Schrodinger equation
• Polynomial potentials determined from the energy spectrum and transition dipole moments that give the largest hyperpolarizabilities
• A Normalized Descriptor for Unbiased Screening of Second-Order Nonlinear Optical Materials
• Static hyperpolarizability of space-fractional quantum systems