Calculation of the angular momentum of an electromagnetic field inside a waveguide with absolutely conducting walls: ab initio
Kharitonov S.I., Volotovsky S.G., Khonina S.N.

 

Samara National Research University, 34, Moskovskoye shosse, Samara, 443086, Samara, Russia,
IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001, Samara, Russia

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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.

Citation:
Kharitonov SI, Volotovsky SG, Khonina SN. Calculation of the angular momentum of an electromagnetic field inside a waveguide with absolutely conducting walls. Computer Optics 2018; 42(4): 588-605. DOI: 10.18287/2412-6179-2018-42-4-588-605.

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