The world’s oceans, and mathematics, have a lot to say to Eliza Michalopoulou, PhD, associate professor in the department of mathematics at NJIT, whose work illustrates another of the many ways in which mathematics defends the nation. As a mathematician, Michalopoulou devises algorithms to help U.S. Navy engineers detect submarines in shallow water. From her underwater (also known as acoustical) research, Michalopoulou can determine the location of submarines and whales, the earth’s changing climate, even environmental contamination. To do this, Michalopoulou studies sound mathematically as it travels from an underwater source to a detector and processing equipment.
The raw material of Michalopoulou’s oceanic insights is a growing body of data from sources to which she applies analytical techniques such as matched field processing and inversion analysis. These and other techniques help to address the problems of oceanic sound propagation and localization, including the influence of geologic features beneath the ocean’s floor that must be acoustically imaged. The end products of her research are special algorithms, or precise mathematical tools, that may eventually be applied in next-generation systems for protecting the shores of the U.S. against unauthorized underwater incursions.
Michalopoulou received NJIT´s Master Teacher designation in 2008, conferred annually on a select number of individuals who have demonstrated the highest level of excellence over a sustained period.
PhD, Electrical Engineering, Duke University
MS, Electrical Engineering, Duke University
Diploma, Electrical Engineering, National Technical University of Athens
The research of Zoi-Heleni Michalopoulou focuses on inverse problems in underwater acoustics. Currently, new global optimization approaches based on the tabu methodology are being developed for matched-field source localization and geoacoustic inversion. Also, arrival time and amplitude estimation in uncertain environments is pursued via a novel Gibbs sampling scheme.
Yardim, Gerstoft, and Michalopoulou, Geophysical signal processing using sequential Bayesian techniques, Geophysics, vol. 78, V87-V100, 2013.
Michalopoulou and Jain, Particle filtering for arrival time tracking in space and source localization Journal of the Acoustical Society of America, Vol. 132, pp. 3041-3052, November 2012.
Michalopoulou, Yardim and Gerstoft, Particle filtering for passive fathometer tracking, Journal of the Acoustical Society of America, vol. 131, pp. EL74-EL80, January 2012.
Jain and Michalopoulou, A particle filtering approach for spatial arrival time tracking in ocean acoustics, Journal of the Acoustical Society of America, vol. 129, pp. EL236-EL241, June 2011.
Yardim, Michalopoulou, and Gerstoft, An Overview of Sequential Bayesian Filtering in Ocean Acoustics, IEEE Journal of Oceanic Engineering, vol. 36, pp. 71-89, January 2011.
Michalopoulou, Mukherjee, Hor, Liu, Barat, Gary, Federici, RDX detection with THz spectroscopy, Journal of Infrared, Millimeter and Terahertz Waves, vol. 31, pp. 1171-1181, October 2010.
Michalopoulou, Bagheri, and Axe, Bayesian estimation of optical properties of Nearshore Estuarine Waters: A Gibbs Sampling Approach, IEEE Transactions on Geoscience and Remote Sensing, vol. 48, pp. 1579 - 1587, March 2010.