In the last decade fractals from an area of interest restricted for theoreticians and artistically-oriented members of academic communities came to many spectacular applications.This lecture presents an overview of basic geometric concepts of fractal geometry.Further a number of examples of very advanced applications in microelectronic circuits will be presented. These applications show enhancement of properties of microelectronic circuits through construction of fractal surfaces e.g. in biosensors, fractal electrodes, fractal antenna, solar cells and super-capacitors, etc. Properties of geometric structures exhibiting fractal geometries indicate their applicability in ever growing miniaturization (nano-structures) and frequency of operation (TeraHz range). Fractal theories apart from bringing ideas to non-conventional geometric constructions provide also useful tools for analysis of micro-system operation in the extreme conditions in the nano and tera range when standard macroscopic physical laws and circuit-theoretic approaches (such as the Ohm's law) are not applicable any more. |
Dr. Maciej Ogorzalek is Professor of Electrical Engineering and Computer Science and Head of the Department of Information Technologies, Jagiellonian University Krakow, Poland the oldest (1364) and most prestigious higher education institution in the country.
He held several visiting positions in Denmark, Switzerland, Germany, Spain, Japan, Hong Kong. He received a Research Award from the Ministry of Education of Spain in 2000 and worked for one year at the National Microelectronic Center, Sevilla, Spain. In 2001 he received a Senior Award from the Japan Society for Promotion of Science as visiting professor at Kyoto University and in 2005 Hertie Foundation Fellowship at The Goethe University Frankfurt-am-Main. 2006-2009 he held the Chair of Biosignals and Systems, Hong Kong Polytechnic University under the Distinguished Scholars Scheme.
Author or co-author of over 250 technical papers published in journals and conference proceedings, author of the book Chaos and Complexity in Nonlinear Electronic Circuits (World Scientific, 1997).
He served as Editor-in-Chief of the Circuits and Systems Magazine 2004-2007, Associate Editor for the IEEE Transactions on Circuits and Systems Part I, 1993-1995 and 1999-2001, he was elected Member of the Editorial Board Proceedings of the IEEE 2004-2009.
He serves also as an Associate Editor Journal of the Franklin Institute (1997-), Secretary of the Editorial Board for the Quarterly of Electrical Engineering (1993-2000), Member of the Editorial Board of Automatics (both in Polish), and Member of the Editorial board of the International Journal of Circuit Theory and Applications (2000-). Since 2009 he is an Associate Editor of the NOLTA Journal (Japan).
Dr. Ogorzalek is an IEEE Fellow (1997). He served the IEEE Circuits and Systems Society in various capacities including VP fpr Region 8, Administrative Vice-president, and finally 2008 Society President. He was CAS Society Distinguished Lecturer (2004-2005) and received the 2002 Guillemin-Cauer Award and IEEE-CAS Golden Jubilee Award.
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