Recovery of small electromagnetic inhomogeneities from boundary measurements in time-dependent Maxwell's equations

从部分边界上的边界测量恢复小的电磁不均匀性

Recovery of small electromagnetic inhomogeneities from boundary measurements on part of the boundary

研究利用部分边界测量数据，通过求解最小化问题构造背景解作为权重，基于平均化方法识别小介电不均匀性的位置和性质。

On the perturbation of the electromagnetic energy due to the presence of inhomogeneities with small diameters

We consider solutions to the time-harmonic Maxwell problem in $\R^3$. For such solution we provide a rigorous derivation of the asymptotic expansions in the practically interesting situation, where a finite number of inhomogeneities of small diameter are imbedded in the entire space. Then, we describe the behavior of the electromagnetic energy caused by the presence of these inhomogeneities.

Engineering solitons and breathers in a deformed ferromagnet: Effect of localised inhomogeneities

We investigate the soliton dynamics of the electromagnetic wave propagating in an inhomogeneous or deformed ferromagnet. The dynamics of magnetization and the propagation of electromagnetic waves are governed by the Landau-Lifshitz-Maxwell (LLM) equation, a certain coupling between the Landau-Lifshitz and Maxwell's equations. In the framework of multiscale analysis, we obtain the perturbed integral modified KdV (PIMKdV) equation. Since the dynamic is governed by the nonlinear integro-differential equation, we rely on numerical simulations to study the interaction of its mKdV solitons with vari…