A 2-D differential surface admittance operator for combined magnetic and dielectric contrast

In this paper, we present a novel technique to accurately model scattering phenomena at two-dimensional circular and rectangular structures consisting of arbitrary homogeneous materials, including magnetic media in particular. The proposed formalism utilizes a differential surface admittance operator, which invokes a single source equivalence theorem to replace the inside material by its surrounding medium, while […]

An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation

This paper proposes a novel hybrid FDTD method for solving the time-dependent Schrödinger equation, which is fundamental for modeling materials and designing nanoscale devices. The wave function is propagated on nonuniform grids by applying explicit updates in part of the grid and implicit updates elsewhere. The latter are based on the Alternating-Direction Implicit (ADI) scheme […]

Comparison of two novel integral equation approaches for lossy conductor modeling

In this paper, we take a closer look at two novel boundary integral equation methods that are ideally suitable for modeling good but lossy conductors. The first method leverages the Calderón identities to precondition the homogeneous Poincaré-Steklov operator for high dielectric contrast materials. The second technique constructs an alternative formulation of the Poincaré-Steklov operator based […]