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Investigation of 2-D electromagnetic transients in a circular cylinder with time discontinuity in permittivity via the resolvent method |
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| Authors: | Nataliya Sakhnenko Alexander Nerukh Trevor Benson Phillip Sewell |
| Affiliation: | 1. Department of Higher Mathematics, Kharkov National University of Radio Electronics, 14 Lenin Ave., Kharkov, 61166, Ukraine 2. George Green Institute for Electromagnetics Research, University of Nottingham, University Park, Nottingham, NG7 2RD, UK |
| Abstract: | The resolvent method approach is proposed for analytically solving the time domain Volterra integral equation (TDVIE) which describes the electromagnetic fields in 2-D cylindrical structures with time changes in the permittivity. It is shown that the approach allows investigation of the electromagnetic field transformation due to an abrupt time change in dielectric permittivity inside a circular cylinder as well as the construction of the Green’s function for an initial-boundary value problem. Key mechanisms of electromagnetic field transformation are investigated and a qualitative distinction of the processes is shown that depends on an initial field configuration. |
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