Optical Theorem in Nonlinear Media

2015/06/30 by Wei Li, Li, Wei, John C. Schotland +1
Biochemistry, Genetics and Molecular Biology · Engineering · #Advanced Fluorescence Microscopy Techniques #FOS: Physical sciences #Near-Field Optical Microscopy #Optics (physics.optics) #Photonic and Optical Devices

paper · pdf · doi:10.48550/arxiv.1506.09009

openalex publication_date 2015/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider 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.

Related

• Optical scattering by a nonlinear medium, I: from Maxwell's equations to numerically tractable equations
• On the lack of external response of a nonlinear medium in the second-harmonic generation process
• Physical origin of nonlinear phenomena in optics
• The DC Kerr Effect in Nonlinear Optics
• Optically nonlinear waves in thin films