Nanoscale fluorescence emitters are efficient for measuring biomolecular interactions, but
their utility for applications requiring single-unit observations is constrained by the need for …

Since the middle of the last century, computing power has increased sufficiently that the
direct numerical approximation of Maxwell's equations is now an increasingly important tool …

We describe new algorithms of the locally optimal block preconditioned conjugate gradient
(LOBPCG) method for symmetric eigenvalue problems, based on a local optimization of a …

Nanotechnology, science, and engineering spearhead the 21st century revolution that is
leading to fundamental breakthroughs in the way materials, devices, and systems are …

Since the early part of the twentieth century, the use of integral equations has developed into
a range of tools for the study of partial differential equations. This includes the use of single …

The fields of photonics and phononics encompass the fundamental science of light and
sound propagation and interactions in complex structures, as well as its technological …

The optimal design of photonic band gaps for two-dimensional square lattices is considered.
We use the level set method to represent the interface between two materials with two …

7.1 Introduction A photonic crystal, or photonic band gap (PBG) optical material, is an
artificially created periodic low-loss dielectric medium in which electromagnetic waves of …

We present a new algorithm for calculation of the band structure of photonic crystal slabs.
This algorithm combines the plane-wave expansion method with perfectly matched layers …

The Bloch mode synthesis (BMS) model-reduction method adapts component mode
synthesis techniques to unit-cell problems in order to obtain a reduced-order model that …