https://hackerpaper.kaipfister.de/p/1611.01676/Collected HN comments and submissions linking this paper.enMon, 02 Nov 2026 11:16:22 GMThttps://news.ycombinator.com/item?id=35251533urn:hackerpapers:mention:1611.01676:35251533Tue, 21 Mar 2023 19:47:06 GMT<p>Back in 2016 me and some collaborators used perturbation theory to calculate the stable modes in a nonlinear PDE that describes lasers. see &quot;appendix C&quot; on p17 of the pdf in https://arxiv.org/abs/1611.01676 The basic idea is that we started with a basis of solutions to the linear equation (d=0), then expanded the nonlinear equation order-by-order in the small parameter d. The math was pretty messy since it was a system of linear equations (involving both E and B fields) but conceptually it was pretty straightforward. It was pretty cool, and definitely very satisfying when the resulting…</p><p><a href="https://hackerpaper.kaipfister.de/p/1611.01676/">Paper and discussion history</a>. A mention is not an endorsement.</p>physics.optics