Uday Khankhoje, IIT Madras
What do we do?The work in NEMO is interdisciplinary; while centered in Electrical Engineering, it intersects with Physics, Applied Mathematics, and Machine Learning. Broadly, we work on inverse problems – these are problems where we would like to find out something interesting about an object by studying the electromagnetic fields that are scattered by it. As an example, the object could be the surface of the Earth, the source of electromagnetic waves a satellite orbiting it, and our interest in finding out the amount of moisture in soil. These are challenging problems and to solve them, we require tricks and techniques from various disciplines. Research spotlightIn a recent paper published in the IEEE Transactions on Computational Imaging (2021), we proposed a new research problem: Given a room filled with objects whose contents we don't know (but we know where they are), and given measurements of electromagnetic fields scattered by the room + objects at a few locations, can we estimate the field everywhere in the room? By combining techniques from Computational Electromangetics and Signal Processing, we proposed techniques to solve this problem. The incident field is treated as an unknown to be estimated. Also, we suggest optimal places to measure the field to get the best reconstruction. Many applications of this problem are discussed in the paper. |