Work

Integral formulation of Klein–Gordon singular waveguides

Year: 2024

Type: article

Abstract: We consider the analysis of singular waveguides separating insulating phases in two‐space dimensions. The insulating domains are modeled by a massive Schrödinger equation and the singular waveguide by appropriate jump conditions along the one‐dimensional interface separating the insulators. We present an integral formulation of the problem and analyze its mathematical properties. We also implement a fast multipole and sweeping‐accelerated iterative algorithm for solving the integral equations, and demonstrate numerically the fast convergence of this method. Several numerical examples of solutions and scattering effects illustrate our theory.

Source: Communications on Pure and Applied Mathematics

DOI: 10.1002/cpa.22227

Authors: Guillaume Bal, Jeremy Hoskins, Solomon Quinn, Manas Rachh

Institutions: University of Chicago, Flatiron Institute

Language: English

Topic: Electromagnetic Scattering and Analysis

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,980

Funder: National Science Foundation