We propose a broadband multilevel fast multipole algorithm using hybridization of the plane
wave and the multipole expansions of Green's function in the analysis of 3-D …

Structured light characterized by spatially inhomogeneous optical fields found rich
applications in optical communication, sensing, microscopy, manipulation, and quantum …

A fast low-frequency surface integral equation solver based on hierarchical matrix algorithm
is proposed. First, the augmented electric field integral equation (A-EFIE) formulation is …

It is well known that Green's function can be expressed by multipole expansion, plane-wave
expansion, and exponential expansion (spectral representation). These three expansions …

Graphene plasmonics have attracted significant attention in the past few years due to the
remarkable optical and electrical properties of graphene. A highly effective method based on …

In this dissertation, a wide-band two-dimensional (2D) fast multipole algorithm (FMA) with a
novel diagonalization form is presented. The conventional diagonalization of 2D FMA can …

A broadband fast multipole algorithm (FMA) is proposed using a hybridization of the plane
wave and multipole expansions of the Green's function. By representing the low order …

In this dissertation, a surface integral equation formulation is developed for low-frequency
problems by generalizing the existing augmented electric field integral equation from the …