Investigation of 2-D electromagnetic transients in a circular cylinder with time discontinuity in permittivity via the resolvent method

• Published in: Optical and quantum electronics Vol. 39; no. 10-11; pp. 825 - 836
• Main Authors: SAKHNENKO, Nataliya, NERUKH, Alexander, BENSON, Trevor, SEWELL, Phillip
• Format: Conference Proceeding Journal Article
• Language: English
• Published: Dordrecht Springer 01.08.2007
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Laser optical systems: design and operation; Optical elements, devices, and systems; Optical waveguides and coupleurs; Optics; Physics; Resonators, cavities, amplifiers, arrays, and rings; Time-varying media; Dielectric materials; Digital simulation; Electromagnetic fields; Green function; Optical waveguides; Whispering gallery mode; Transients; Whispering gallery mode (WGM) resonators; Time domain integral equation, Resolvent operator, Green's function; Optical resonators; Boundary-value problems; Initial value problems; Cavity resonators; Permittivity
• ISSN: 0306-8919; 1572-817X
• DOI: 10.1007/s11082-007-9130-4

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.