Propagation of electromagnetic pulses and calculation of dynamic invariants in a waveguide with a convex shell
Kharitonov S.I., Volotovsky S.G., Khonina S.N., Kazanskiy N.L.

 

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, we consider a method for solving a system of Maxwell's equations in the case of time-dependent boundary conditions at the end of a waveguide with superconducting walls. An explicit analytical solution is obtained for a quasi-harmonic signal whose pulse width in the frequency domain is much smaller than the carrier frequency. Numerical examples are calculated in the case of a Gaussian pulse as a superposition of modes propagating in a circular hollow metal waveguide. The calculation of dynamic invariants of short pulses propagating in a waveguide with an arbitrarily-shaped conducting shell is considered. A procedure for quantizing an electromagnetic field in a waveguide with superconducting walls is described.

Keywords:
waveguide modes, field pulse, dynamic invariants, electromagnetic field quantization.

Citation:
Kharitonov SI, Volotovsky SG, Khonina SN, Kazanskiy NL. Propagation of electromagnetic pulses and calculation of dynamic invariants in a waveguide with a convex shell. Computer Optics 2018, 42(6): 947-958. DOI: 10.18287/2412-6179-2018-42-6-947-958.

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