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Unified treatment of exact and approximate scalar electromagnetic wave scattering

Subeen Pang* and George Barbastathis†

  • Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *sbpang@mit.edu
  • †Also at Singapore-MIT Alliance for Research and Technology (SMART) Centre, 1 CREATE Way, Singapore 138602, Singapore.
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Phys. Rev. E 106, 045301 – Published 4 October, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.045301

Abstract

Under conditions of strong scattering, a dilemma often arises regarding the best numerical method to use. Main competitors are the Born series, the beam propagation method, and direct solution of the Lippmann-Schwinger equation. However, analytical relationships between the three methods have not yet, to our knowledge, been explicitly stated. Here, we bridge this gap in the literature. In addition to overall insight about aspects of optical scattering that are best numerically captured by each method, our approach allows us to derive approximate error bounds to be expected under various scattering conditions.

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Outline

Information

Phys. Rev. E 106, 045301– Published 4 October, 2022
  • Received 18 February 2022
  • Revised 15 July 2022
  • Accepted 2 September 2022
Article part of CHORUS
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