7 papers
Finite Spectral-Band Optimal Control of Acoustic Waves via Subwavelength Point-Like Resonant Actuators
Arpan Mukherjee, Mourad Sini
We study finite-band optimal control of acoustic waves actuated by local clusters of subwavelength resonators. The acoustic problem reduces to a time-domain Foldy-Lax approximation…
Resonant Microstructures as Dirac-type Sources for Acoustic Wave Control
Arpan Mukherjee, Mourad Sini
We study finite-time acoustic wave tracking using effective interior Dirac-type actuators generated by clusters of subwavelength resonant bubbles driven from exterior transducers.…
Feedback Stabilization and Tracking for Heat Equations Using Thermo-Plasmonic Nanoparticles as Actuators
Arpan Mukherjee, Sérgio S. Rodrigues, Mourad Sini
We propose a feedback strategy to track prescribed heat profiles using plasmonic nanoparticles as actuators. Starting from a thermo--plasmonic Maxwell--heat model, we use a time-do…
Functional-Analytic Justification of the Time-Domain Foldy-Lax Approximation for Dispersive Acoustic Media: A Feynman-Diagram Viewpoint
Arpan Mukherjee, Mourad Sini
This work provides a rigorous functional-analytic justification for a time-domain Foldy-Lax framework that describes multiple acoustic scattering by a cluster of dispersive resonat…
Dispersive Effective Metasurface Model for Bubbly Media
Arpan Mukherjee, Mourad Sini
We derive the effective transmission condition for a cluster of acoustic subwavelength resonators, modeled as small-scaled bubbles distributed not necessarily periodically along a…
Effective Medium Theory for Heat Generation Using Plasmonics: A Parabolic Transmission Problem Driven by the Maxwell System
Xinlin Cao, Arpan Mukherjee, Mourad Sini
The excitation of plasmonic nanoparticles by incident electromagnetic waves at frequencies near their subwavelength resonances induces localized heat generation in the surrounding…
Dispersive Effective Model in the Time-Domain for Acoustic Waves Propagating in Bubbly Media
Arpan Mukherjee, Mourad Sini
We derive the effective medium theory for the linearized time-domain acoustic waves propagating in a bubbly media. The analysis is done in the time-domain avoiding the need to use…