English

Orthogonality relations for triple modes at dielectric boundary surfaces

Quantum Physics 2015-06-26 v1

Abstract

We work out the orthogonality relations for the set of Carniglia-Mandel triple modes which provide a set of normal modes for the source-free electromagnetic field in a background consisting of a passive dielectric half-space and the vacuum, respectively. Due to the inherent computational complexity of the problem, an efficient strategy to accomplish this task is desirable, which is presented in the paper. Furthermore, we provide all main steps for the various proofs pertaining to different combinations of triple modes in the orthogonality integral.

Keywords

Cite

@article{arxiv.quant-ph/0212004,
  title  = {Orthogonality relations for triple modes at dielectric boundary surfaces},
  author = {Hanno Hammer},
  journal= {arXiv preprint arXiv:quant-ph/0212004},
  year   = {2015}
}

Comments

15 pages

R2 v1 2026-07-22T19:37:25.039Z