We consider a system governed by the wave equation with index of refraction n(\bfx), taken
to be variable within a bounded region Ω⊂\mathbbR^d and constant in \mathbbR^d∖Ω. The …

The homogenization of eigenvalues of non-Hermitian Maxwell operators is studied by the H-
convergence method. It is assumed that the Maxwell systems are equipped with suitable m …

Resonances of Schr\" odinger Hamiltonians with point interactions are considered. The main
object under the study is the resonance free region under the assumption that the centers …

Abstract For Maxwell operators Image 1 in Lipschitz domains, we describe all m-dissipative
boundary conditions and apply this result to generalized impedance and Leontovich …

Resonances optimization is studied under the constraint‖ B‖ 1≤ m on the nonnegative
function B∈ L 1 (0, ℓ) representing the resonator structure. The problem is to design for a …

We study optimization of quasi-normal-eigenvalues ω ω associated with the equation y^ ′
′=-ω^ 2 B yy ″=-ω 2 B y of two-side open optical and mechanical resonators. The …

We prove that the set of resonances Σ (H) has a multilevel asymptotic structure for the
following classes of Hamiltonians H: Schrödinger operators with point interactions yj∈ R 3 …

The paper is devoted to optimization of resonances in a 1-D open optical cavity. The cavity's
structure is represented by its dielectric permittivity function ε (s). It is assumed that ε (s) takes …

The paper is devoted to optimization of resonances for Krein strings with total mass and
statical moment constraints. The problem is to design for a given α ∈ R a string that has a …

Some optical design problems arise from the study of photonic bandgap structure, including
defect modes localization, that is, computing the optimal dielectric property to highly localize …