activity
20192026
most citedMathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices

6 citations · 8 across the 12 of their papers we have counts for

collaborators

16 papers

math.AP2026

Dirac Points in High-Contrast Dielectric Honeycomb Structures

Yi Huang, Bowen Li, Ping Liu

We study Dirac points for a two-dimensional scalar Helmholtz equation in a periodic dielectric medium with two penetrable inclusions per honeycomb cell. In a joint small-inclusion…

math.AP2026

Frequency-dependent capacitance matrix formulation for Fabry--Pérot resonances. Part II: One-dimensional periodic media

Habib Ammari, Bowen Li, Ping Liu +1

We study Bloch resonances of one-dimensional periodic systems of high-contrast resonators beyond the subwavelength regime. An exact transfer-matrix formulation identifies the limit…

math.NA2026

Waveguiding in systems of high contrast resonators: Theory and fast computations

Habib Ammari, Bowen Li, Borui Miao +2

In this work, we study guided modes in systems of high-contrast resonators near nonzero interior Neumann frequencies, beyond the subwavelength regime. In the regular exterior regim…

math.AP2026

Nonlinear Modal Reduction for Subwavelength Dielectric Scattering

Habib Ammari, Ioan Gorea, Bowen Li

We study three-dimensional wave scattering by high-index dielectric resonators with Kerr-type nonlinearity under plane-wave incidence, together with the associated nonlinear dielec…

math.AP2026

Frequency-dependent capacitance matrix formulation for Fabry-Perot resonances in two and three dimensional systems

Habib Ammari, Bowen Li, Ping Liu +2

We study scattering resonances of finite and infinite periodic two- and three-dimensional systems of high-contrast resonators beyond the subwavelength regime. At each fixed admissi…

math.AP2026

Frequency-dependent capacitance matrix formulation for Fabry-Pérot resonances. Part I: One-dimensional finite systems

Habib Ammari, Bowen Li, Ping Liu +1

We study scattering resonances of finite one-dimensional systems of high-contrast resonators beyond the subwavelength regime. Introducing a novel tridiagonal frequency-dependent ca…