Based on more than 30 years of research on differential theories of gratings, this book
describes developments in differential theory for applications in spectroscopy, acoustics, X …

We consider band structure calculations of two-dimensional photonic crystals treated as
stacks of one-dimensional gratings. The gratings are characterized by their plane wave …

Historically, the physics, energy spectrum, and wave functions of superlattices have had
different levels of understanding. Unlike the standard approaches, based on theorems for …

The acoustic properties of a porous sheet of medium static air flow resistivity (around 10 000
N m s-4⁠), in which a periodic set of circular inclusions is embedded and which is backed by …

By using a two-step homogenization approach, we derive analytical formulas of effective
mass density ρ e and effective bulk modulus B e for two-and three-dimensional acoustic …

We present a simple analytic formalism to explain the unique resonance phenomenon in
subwavelength high-contrast gratings (HCG). We show that the resonances are due to …

The acoustic response of a rigid-frame porous plate with a periodic set of inclusions is
investigated by a multipole method. The acoustic properties, in particular, the absorption, of …

A very efficient and accurate method is proposed to evaluate the lattice sums (LSs) for the
analysis of leaky waves in 2-D periodic waveguides. The LSs are the series involving …

A simple and efficient numerical method for computing the transmission and reflection
spectra of periodic arrays of cylinders is developed. For each unit cell containing a cylinder …

The existence of surface electromagnetic waves in the dielectric-metal interface is due to the
sign change of real parts of permittivity across the interface. In this work, we demonstrate that …