Related Experiment Video
Updated: Oct 28, 2025

Microfluidic Device for the Separation of Non-Metastatic MCF-7 and Non-Tumor MCF-10A Breast Cancer Cells Using AC Dielectrophoresis
Published on: August 11, 2022
Direct solution of the volume integral equation for electromagnetic scattering from dielectric objects with negative
Abstract:
In this paper, electromagnetic scattering from dielectric objects with negative permittivity is solved by the volume integral equation (VIE)-hierarchical matrix (H-matrix)-based fast direct solver. To improve solution efficiency, a coarsening algorithm for the H-matrix is used, and the key parameter for the admissible condition is optimized through numerical experiments. Finally, the discontinuous Galerkin (DG) VIE (DGVIE) method is developed for the fast direct solver. It is shown that scattering from inhomogeneous dielectric objects with negative permittivity and with multiscale structure can be analyzed efficiently by the DGVIE-H-matrix-based fast direct solver.
Related Concept Videos
Susceptibility, Permittivity and Dielectric Constant
Electrostatic Boundary Conditions in Dielectrics
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's...
Electromagnetic Waves in Matter
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the...
Poisson's And Laplace's Equation
Electric Field of Two Equal and Opposite Charges
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...
Electromagnetic Wave Equation
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations:...

