Habib Ammari - Selected Publications#

H. Ammari, B. Fitzpatrick, H. Kang, M. Ruiz, S. Yu, and H. Zhang, Mathematical and Computational Methods in Photonics and Phononics. Mathematical Surveys and Monographs, Volume 235, American Mathematical Society, Providence, 2018, 509 pages.

H. Ammari, J. Garnier, H. Kang, L. Nguyen, and L. Seppecher, Mathematics of Super-resolution Biomedical Imaging. Modelling and Simulation in Medical Imaging, Volume 2, Imperial College Press, London, 2016, 534 pages.

H. Ammari, E. Bretin, J. Garnier, H. Kang, H. Lee, and A. Wahab, Mathematical Methods in Elasticity Imaging.

Princeton Series in Applied Mathematics, Princeton University Press, 2015, 240 pages.

H. Ammari, E.O. Hiltunen, and S. Yu, Subwavelength guided modes for acoustic waves in bubbly crystals with a line defect. To appear in Journal of the European Mathematical Society.

H. Ammari, E. Orvehed Hiltunen and S. Yu, A high-frequency homogenization approach near the Dirac points in bubbly honeycomb crystals. Archive on Rational Mechanics and Analysis, 238 (2020) 1559-1583.

S. Yu and H. Ammari, Hybridization of singular plasmons via transformation optics. Proceedings of the National Academy of Sciences of the United States of America, 116 (2019), 13785-13790.

S. Yu and H. Ammari, Plasmonic interaction between nanospheres. SIAM Review, 60 (2018), no. 2, 356-385.

H. Ammari, P. Millien, M. Ruiz, and H. Zhang, Mathematical analysis of plasmonic nanoparticles: the scalar case. Archive on Rational Mechanics and Analysis, 224 (2017), 597-658.

H. Ammari and H. Zhang, A mathematical theory of super-resolution by using a system of sub-wavelength Helmholtz resonators. Communications in Mathematical Physics, 337 (2015), 379-428.

H. Ammari, T. Boulier, J. Garnier, and H. Wang, Shape identification and classification in electrolocation. Proceedings of the National Academy of Sciences of the United States of America, 111 (2014), 11652-11657.