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math.AP2024
Finiteness Results for Non-Scattering Herglotz Waves: The case of inhomogeneities obtained by very general perturbations of disks
Michael S. Vogelius, Jingni Xiao
We study non-scattering phenomena associated with the time-harmonic Helmholtz equation in two dimensions. For very general classes of star-shaped domains, we show that there are at…
math.AP2024
On the lack of external response of a nonlinear medium in the second-harmonic generation process
Fioralba Cakoni, Narek Hovsepyan, Matti Lassas +1
This paper concerns the scattering problem for a nonlinear medium of compact support, , with second-harmonic generation. Such a medium, when probed with monochromatic light beam…