Selected Preprints

    Below is a list of selected preprints of mine. Any preprint can be viewed by clicking the corresponding link.

  1. A high-frequency homogenization approach near the Dirac points in bubbly honeycomb crystals. Submitted to Archive on Rational Mechanics and Analysis (with E. Orvehed Hiltunen and S. Yu).
  2. Honeycomb-lattice Minnaert bubbles. Submitted to Communications in Mathematical Physics (with B. Fitzpatrick, H. Lee, E. Orvehed Hiltunen, and S. Yu).
  3. A fully-coupled subwavelength resonance approach to modelling the passive cochlea. Submitted to Proceedings of the Royal Society A (with B. Davies).
  4. Hybridization of singular plasmons via transformation optics. Submitted to Proceedings of the National Academy of Sciences of the United States of America (with S. Yu).
  5. A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only. Submitted to Numerische Mathematik (with E. Bretin, P. Millien, and L. Seppecher).
  6. Double-negative acoustic metamaterials. Submitted to Quarterly of Applied Mathematics (with B. Fitzpatrick, H. Lee, S. Yu, and H. Zhang).
  7. Subwavelength resonances of encapsulated bubbles. Submitted to Journal of Differential Equations (with B. Fitzpatrick, H. Lee, E. Orvehed Hiltunen, and S. Yu).
  8. The equivalent media generated by bubbles of high contrasts: Volumetric metamaterials and metasurfaces. Submitted to Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal (with D.P. Challa, Choudhury, and M. Sini).
  9. Optimal mesh size for inverse medium scattering problems. Submitted to SIAM Journal on Numerical Analysis (with Y.T. Chow and K. Liu).
  10. Subwavelength resonant dielectric nanoparticules with high refractive indices. Submitted to Mathematical Methods in Applied Sciences (with A. Dabrowski, B. Fitzpatrick, P. Millien, and M. Sini).
  11. Perturbations of the scattering resonances of an open cavity by small particles. Part II: The transverse electric polarization case. Submitted to Journal of Applied Mathematics and Physics (with A. Dabrowski, B. Fitzpatrick, and P. Millien).
  12. Perturbation of the scattering resonances of an open cavity by small particles. Part I: The transverse magnetic polarization case. Submitted to Journal of Applied Mathematics and Physics (with A. Dabrowski, B. Fitzpatrick, and P. Millien).