Born and Inverse Born Series for a Special Case of the Second Harmonic Generation Problem
Analysis of PDEs
2025-01-09 v2
Abstract
We study the Born and Inverse Born series for a special case of the second harmonic generation system of PDEs. We give a recursive formula for the forward operators and prove boundedness conditions that guarantee the convergence of the Born and inverse Born series. We also use fixed point theory to give explicit conditions for convergence of the Born series.
Keywords
Cite
@article{arxiv.2412.13284,
title = {Born and Inverse Born Series for a Special Case of the Second Harmonic Generation Problem},
author = {Ross McNeill},
journal= {arXiv preprint arXiv:2412.13284},
year = {2025}
}
Comments
Error in Lemma 7