This paper presents a summary of various localized collocation schemes and their
engineering applications. The basic concepts of localized collocation methods (LCMs) are …

Remarkable advancements have been made in the design of optical metasurfaces in recent
years, particularly in compact designs. However, for their practical integration into diverse …

The fast multipole method (FMM) and multilevel fast multipole algorithm (MLFMA) are
reviewed. The number of modes required, block-diagonal preconditioner, near singularity …

The toroidal dipole is a peculiar electromagnetic excitation that can not be presented in
terms of standard electric and magnetic multipoles. A static toroidal dipole has been shown …

We report on an eficient adaptive N-body method which u~ e have recently designed and
implemented. The algorithm computes the forces on an arbitrary distribution of bodies in a …

We study integral methods applied to the resolution of the Maxwell equations where the
linear system is solved using an iterative method which requires only matrix–vector …

Numerical methods are of great importance in the study of electromagnetic scattering from
random rough surfaces. This review provides an overview of rough surface scattering and …

Numerical solutions of Maxwell's equations are indispensable for nanophotonics and
electromagnetics but are constrained when it comes to large systems, especially multi …

The high solution costs and non-uniqueness difficulties in the boundary element method
(BEM) based on the conventional boundary integral equation (CBIE) formulation are two …

Since their development in the 1980s, optical tweezers have become a widely used and
versatile tool in many fields. Outstanding applications include the quantitative measurement …