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

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.

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

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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