English

Analytical results for 2-D non-rectilinear waveguides based on the Green's function

Analysis of PDEs 2009-11-13 v1 Mathematical Physics math.MP

Abstract

We consider the problem of wave propagation for a 2-D rectilinear optical waveguide which presents some perturbation. We construct a mathematical framework to study such a problem and prove the existence of a solution for the case of small imperfections. Our results are based on the knowledge of a Green's function for the rectilinear case.

Keywords

Cite

@article{arxiv.0704.3847,
  title  = {Analytical results for 2-D non-rectilinear waveguides based on the Green's function},
  author = {Giulio Ciraolo and Rolando Magnanini},
  journal= {arXiv preprint arXiv:0704.3847},
  year   = {2009}
}
R2 v1 2026-06-21T08:23:16.653Z