Postdoctoral Fellowship: Dr Nataliya Sakhnenko. Investigation of Electromagnetic Field in a System of Transparent Cylinders with Time-Varying Media

Principal Investigator: Professor T M Benson

Starts: 1 August 2004
Ends: 31 July 2005

The proposed research is initiated by the necessity of developing a new modeling environment for the investigation of electromagnetic transients in axially-symmetric optoelectronic components with time-varying parameters. Most numerical modeling methods assume that the electromagnetic transients inside an optical structure are insignificant because the duration of the optical pulse is much greater than the period of optical oscillations. However, for ultra-short optical systems this assumption is no longer valid. With the continuing and increasing interest in semiconductor and optical integrated circuits and devices, more accurate and realistic simulations are needed. Transient phenomena play a significant role in the analysis and a design of a new generation of high-frequency/high-speed integrated optoelectronic and electromagnetic systems. Fundamental understanding of the electromagnetic field interaction with a time-varying media is critical for the performance of semiconductor and optical devices and circuits. A fully explicit time-domain integral equation approach based on the Volterra equation method [Nerukh A.G., Scherbatko I.V., Marciniak M. Electromagnetics of modulated media with applications to photonics. – Warsaw, 2001. – 265 p.] is very effective for the analysis of ultra-short electromagnetic pulse transients in media with time-varying properties, and will be used in the proposed work. This method allows an accurate analytical solution to be obtained for a medium with a time jump time jump of its parameters, formulation of evolutionary recursion method, and numerical simulation for the medium with arbitrary time dependent properties.