English

Reciprocity and the scattering matrix of waveguide modes

Optics 2015-06-12 v1

Abstract

The implications of the Lorentz reciprocity theorem for a scatterer connected to waveguides with arbitrary modes, including degenerate, evanescent, and complex modes, are discussed. In general it turns out that a matrix CSCS is symmetric, where CC is the matrix of generalized orthogonality coefficients, and SS is the scattering matrix. Examples are given, including a scatterer surrounded by waveguides or free space, and discontinuities of waveguides.

Keywords

Cite

@article{arxiv.1301.2458,
  title  = {Reciprocity and the scattering matrix of waveguide modes},
  author = {Guro K. Svendsen and Magnus W. Haakestad and Johannes Skaar},
  journal= {arXiv preprint arXiv:1301.2458},
  year   = {2015}
}
R2 v1 2026-06-21T23:07:49.587Z