Calculation of the angular momentum of an electromagnetic field inside a waveguide with absolutely conducting walls: ab initio

Abstract

In this paper, explicit expressions for the momentum and angular momentum from the Noether's theorem (ab initio) are obtained. These expressions contain squared modules of the coefficients of a guided mode expansion, weighted by the phase singularity orders present. The expressions obtained are useful for quantizing the electromagnetic field in a waveguide.

Keywords

• angular momentum
• Noether’s theorem
• Lagrange-Euler equation
• Umov-Poynting vector
• modes of a cylindrical metal waveguide