Call for Papers
HD-7: Fractal Models in Electromagnetic Scattering
Sunday Afternoon, July 6, 13:30 - 17:30
Presented by
Daniele Riccio, University of Napoli Federico II
Abstract
Natural surfaces are appropriately described by the fractal geometry, which considers surfaces whose dimension is in the range from 2 to 3. Once the fractal geometry has been adopted, appropriate (fractal) electromagnetic theories needs to be developed to evaluate in closed form the scattered field. As a matter of fact, the classical scattering approaches turn out in general to be not applicable.
This tutorial presents analytical methods to study the interaction between electromagnetic waves and natural surfaces described by fractals. Definition of the scattering problem is provided. Motivations to address this problem are illustrated, and the rationale to find appropriate solutions is presented. Applications to the Remote Sensing area are discussed.
Mathematical description for fractal surfaces is structured to get efficient engineering solutions to the scattering problem. Deterministic and stochastic fractal surfaces are considered; fractal models are introduced and compared to classical ones. Regular and predictable stochastic fractal processes are considered to model the scattering surfaces. As far as the electromagnetic problem is concerned, deterministic and stochastic evaluations for the scattered field from a fractal surface are presented and compared. Analytical evaluations in closed form of the scattered field are derived. The approach to implement direct and inverse scattering computer codes for remote sensing applications is discussed. Codes for fractal surfaces analysis and synthesis are presented. Graphical and numerical examples are discussed.
Material to support the tutorial can be in part found in the recent Academic Press book, G.Franceschetti, D.Riccio, "Scattering, Natural Surfaces and Fractals", 2007.
Outline
- The Scattering Problem
- Surface Classical Models
- Surface Fractal Models
- Analytical Formulations of Scalar and Vector Wave Scattering
- Scattering from Weirstrass-Mandelbrot Surfaces. Physical Optics Solution
- Scattering from Fractional Brownian Surfaces. Physical Optics Solution
- Scattering from Weierstrass-Mandelbrot profiles. Extended Boundary Condition Method
- Scattering from Fractional Brownian Surfaces. Small Perturbation Solution
Speaker Biography
Daniele Riccio was born in Napoli, Italy, on April 13, 1962. He received "cum laude" the Laurea Degree in Electronic Engineering at the University of Napoli Federico II in 1989. He is Professor of Electromagnetic Wave Theory at the Faculty of Engineering of the University of Napoli Federico II, Italy where he teaches courses on Guided Propagation, Electromagnetic Wave Theory, Remote Sensing and Planning of Remote Sensing Systems.
For the Master Science level, he created and holds the Courses of Planning of Remote Sensing Systems and Planning of Wireless Networks that do not have a counterpart in the Italian academy. For the PhD level, he created and holds the course on Fractals and Waves. He has been the tutor of more than 120 Master Science and some PhD students. He created and leads the Remote Sensing Laboratory at the Department of Electronic and Telecommunication Engineering of the University of Napoli Federico II, Italy. He is member of the board for Ph.D. students in Electronics and Telecommunication Engineering, and member of the school for Ph.D. students in Information Engineering both at the University of Napoli Federico II, Italy.
Since 2006 he is in the International Advisory Editorial Board for Remote Sensing of the online journal “Sensors” which held an impact factor of 1.373 in year 2006. Prof. Riccio has mainly worked on Remote Sensing and Electromagnetic Scattering. His research activity is testified by more than 170 papers including: 3 books, 5 books chapters, 44 journal papers (22 on the IEEE Transactions on Geoscience and Remote Sensing, 2 on IEEE Transactions on Antennas and Propagation), more than 120 conference papers (37 on the Proceedings of the International Geoscience and Remote Sensing Symposia, 25 on Proceedings of other IEEE sponsored conferences). He is a consultant for private and public companies. His work has been supported by the Italian Ministry for University, the Italian Space Agency, public and private companies and funded with more than 700,000 € in the last ten years.
He introduced a systematic end-to-end approach to evaluate the electromagnetic scattering from fractal surfaces. He implemented these fractal models along all the spectrum of pertinent analytical techniques (Physical Optics, Kirchhoff Approach, Extended Boundary Condition Method, Small Perturbation Method), at the extent to develop closed-form solutions for the electromagnetic scattered field. These results are novel and provide the first comprehensive theory for scattering from natural surfaces represented by fractal models. Most of the results that he developed are collected in the Academic Press book, G.Franceschetti, D.Riccio, "Scattering, Natural Surfaces and Fractals", 2007.
Prof. Riccio teaches the PhD course on Fractals and Waves not only at the University of Naples, but, in 2006, also at the Polytechnic of Cataluna, Barcelona, Spain. His work has been the main item of international cooperation with the Polytechnic of Cataluna (Barcelona, Spain), University of Santiago of Compostela (Spain), and Technical University of Munich (Germany), where his fractal scattering models have been now implemented and experimentally verified for terrain, ocean and urban scenes, respectively. He has been visiting scientist (1994 and 1995) at DLR (Munich, Germany) to implement a SAR simulator there and introduce the fractal analysis of SRTM data. He is Principal Investigator for application of fractal geometry to the interpretation of TERRA/SAR-X data. He has been invited to present many of his results at international and national symposia, to teach courses and held seminars in several international institutions.
He has won several fellowships from private and public companies (SIP, Selenia, CNR, CORISTA, CRATI) for researches in the remote sensing field.
Daniele Riccio is an IEEE Member since 1991, and IEEE Senior Member since 1999.