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Applied and Computational Math Seminar

On the lack of external response of a nonlinear medium in the second-harmonic generation process.

Narek Hovsepyan

Location:  Hill 705
Date & time: Wednesday, 17 January 2024 at 11:00AM - 12:00PM

Second Harmonic Generation is a process in which the input wave (e.g. laser beam) interacts with a nonlinear medium and generates a new wave, called the second harmonic, at double the frequency of the original input wave. We investigate whether there are situations in which the generated second harmonic wave does not scatter and is localized inside the medium, i.e., the nonlinear interaction of the medium with the probing wave is invisible to an outside observer. This leads to the analysis of a semilinear elliptic system formulated inside the medium with non-standard boundary conditions.


This is a joint work with F. Cakoni, M. Lassas and M. Vogelius.

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