- Graduate Students:
- Eric Platt - Postdoctoral associate - 2018-2020
- Neil Egarguin - PhD student -
*Graduation 2021*

- Undergraduate Students:
- Lance Fegan, Math major, UH, summer 2019
- Larry Guan, Physics major, UH, summer 2019

- Sohini Sengupta, Postdoctoral associate
- Mark Hubenthal, Postdoctoral associate,
*Now, Applied scientist, imaging group, AMAZON* - Taoufik Maclachi - PhD student - Graduate in April 2014,
*Lecturer in Mathematical Sciences, PennState Harrisburg, PA* - Noam Harari - Undergraduate math major -
*Class of 2019* - Zach Garvey - Undergraduate math. major UH, 2011-2015,
*Now graduate TA in the Math. Dept. Dartmouth College* - Huy Dinh - Undergraduate math. major UH 2010-2014.
*Now graduate TA in the Math. Dept. University of Utah*

### Inverse source problems and control of underwater acoustic fields

**(Sponsored by Office of Naval Research (ONR) 2015-2018)**### Inverse problems and control of electromagnetic fields

**(Sponsored by AFOSR YIP award, 2013-2016 and by 2016 UH GEAR award, currently by Army Research office (ARO), 2017-2020)****Sensitivity analysis for the active manipulation of Helmholtz fields in 3D(with E. Platt and N. Egarguin), (pdf)**,*Inverse Problems in Science and Engineering, DOI: 10.1080/17415977.2018.1555248***On the synthesis of acoustic sources with controllable near fields (with E. Platt), (pdf)**,*Wave Motion, Vol. 77, pp 12-27, 2018***Reduction of radar Cross Section Using Active Microstrip Antenna Elements (with S. Sengupta, D. Jackson, H. Council), (pdf)**,*IEEE Xplore, 19 October 2017, USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), 2017***On the active manipulation of EM fields in open waveguides (with R. Albanese), (pdf)**,*Wave Motion, Vol. 69, 91–107, 2017***Sensitivity Analysis for Active Control of the Helmholtz Equation (with M. Hubenthal) (pdf)**,*Applied Numerical Mathematics, Iss. 106, 1–23, 2016***Active manipulation of fields modeled by the Helmholtz equation, (pdf)**,*Journal Of Integral Equations and Applications, Volume 26, Number 4, Winter 2014.***On the active manipulation of fields and applications. The quasistatic case (pdf)**,*Inverse Problems, Volume 28, Number 10, 2012.***Mathematical analysis of the active exterior cloak for 2D quasistatic electromagnetics (pdf)**(with F. Guevara-Vasquez, G.W. Milton),*Analysis and Mathematical Physics, Volume 2, Issue 3, pp 231-246, September 2012.***Transformation elastodynamics and active exterior acoustic cloaking**(with F. Guevara-Vasquez, G.W. Milton, P. Seppecher),*Acoustic Metamaterials, Springer Series in Materials Science, Vol. 166, pp 289-318, 2012.***Exterior cloaking with active sources in two dimensional acoustics (pdf)**, (with F. Guevara-Vasquez, G.W. Milton),*Wave Motion Vol. 48, Iss. 6, pp. 515-524, 2011.***Cloaking via change of variables for Helmholtz equation in the case of fixed frequency, (pdf)**, (with R. V. Kohn, M. Vogelius, M. Weinstein),*CPAM, vol. 63, Issue 8, 973 – 1016, 2010.***Broadband exterior cloaking, (pdf)**, (with F. Guevara-Vasquez, G.W. Milton),*Optics Express, Vol. 17, Issue 17, 14800-14805, 2009.***Active exterior cloaking, (pdf)**, (with F. Guevara-Vasquez, G. W. Milton),*Phys. Rev. Lett., 103, 073901, 2009.*-
### Multiscale analysis for novel materials and applications,

**Exact relations for Green’s functions in linear PDE and boundary field equalities: a generalization of conservation laws(pdf)**(with G.W. Milton)*Res Math Sci (2019) 6: 19. https://doi.org/10.1007/s40687-019-0179-z***Energy Accumulation in a Functionally Graded Spatial -Temporal Checkerboard (pdf)**(with K. Lurie, S. Weekes, V. Yakovlev, W. Sanguinet)*accepted in IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, Iss 99. January 2017***Anomalous Localized Resonance Phenomena in Resonance Nonmagnetic, Finite-Frequency Regime (pdf)**(with A. Thaler)*, Advances in Mathematical Physics, Vol. 2016, Article ID 4156072, 28 pages***On the sensitivity of annomalous localized ressonance phenomena with respect to dissipation (pdf)**(with G.W. Milton, A. Thaler, T. Mclachi, G. Funchess)*, Quart. Appl. Math. 74, 201-234, 2016***Engineering anisotropy to amplify a long wavelength field without a limit (pdf)**, (with Liping Liu),*Proc. R. Soc. A 8, vol. 469, no. 2159, November 2013***Complete characterization and synthesis of the response function of elastodynamic networks, (pdf)**(with G. W. Milton and F. Guevara-Vasquez),*Journal of Elasticity, vol 102, iss. 1, pp. 31 - 54, 2011.***Mathematical analysis of waves propagation through a rectangular material structure in space - time,(pdf)**(with K. Lurie and S. Weekes)*Jour. Math. Anal. Appl., 355(1), 15, 2009*-
### Homogenization theory

**Asymptotic analysis of a multiscale parabolic problem with a rough fast oscillating interface, (pdf)**, (with P. Donato and E. Jose),*Arch. Appl. Mech., https://doi.org/10.1007/s00419-018-1415-5, 2018.***Asymptotic analysis of second-order boundary layer correctors, (pdf)**, (with B. Vernescu),*Applicable Analysis, Vol. 91, Iss. 6, 2012.***The Periodic Unfolding Method for perforated domains and Neumann sieve models,(pdf),**(with D. Cioranescu, A. Damlamian and G.Griso)*Jour. Math. Pures et Appl., 2008.***Error estimates for periodic homogenization with non-smooth coefficients, (pdf),**(with B. Vernescu)*Asymptotic Anal., 54, 103-123, 2007.***The Unfolding operator near a hyperplane and its application to the Neumann sieve model,(pdf)***Adv. in Math. Sci. and Appl., vol 16, No. 1, 2006, pp. 239-258***Gamma-convergence for a fault model with slip weakening friction law and periodic barriers,(pdf)**(with B. Vernescu),*Quarterly of Appl. Math., vol. LXII, 4, 747-778, 2005.***Asymptotic analysis of a spectral problem associated with the Neumann sieve(pdf)**(with B. Vernescu),*Journal of Anal. and Appl., vol. 1, 2005, pp. 69-87.***G-convergence results for some spectral problems associated to the Neumann sieve and their applications**(with B. Vernescu),*GAKUTO Int. Ser., Math. Sci. Appl., Vol. 24, 2005, pp. 249- 260.*