3 papers
math.AP2025
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…
math.AP2024
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…
math.AP2024
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…