Optical theorem for nonlinear media

Wei Li, John C. Schotland
2015 Physical Review A. Atomic, Molecular, and Optical Physics  
We derive the optical theorem for scattering of electromagnetic waves in nonlinear media. This result is used to obtain the power extinguished from a field by a nonlinear scatterer. The cases of second harmonic generation and the Kerr effect are studied in some detail. Applications to nonlinear apertureless scanning near-field optical microscopy are considered.
doi:10.1103/physreva.92.043824 fatcat:wkl56r5ej5fmpjkb4ipso35v74