Kholodenko's Theorem

Kholodenko's Theorem addresses the relationship between the nonlinear optical properties of materials and their electronic structures. Specifically, it provides a way to estimate a material's second-order nonlinear response—like frequency doubling—based on the energies and behaviors of its electrons. By analyzing how electrons transition between energy levels, the theorem helps predict a material's efficiency in nonlinear optics. In simple terms, it connects the microscopic electronic characteristics of a material to its ability to generate new light frequencies, aiding the design of better optical devices without extensive trial-and-error experimentation.