A two-scale approach, for discrete lattice structures, is developed that uses microscale
information to find asymptotic homogenised continuum equations valid on the macroscale …

We present a systematic analytic and numerical study of the detection limit of a refractive
index sensor employing a directional coupler architecture within a photonic crystal fiber …

This paper discusses the properties of flexural waves governed by the biharmonic operator,
and propagating in a thin plate pinned at doubly periodic sets of points. The emphases are …

Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical
and numerical models of waves in structured elastic media, with emphasis on the asymptotic …

The propagation of waves through microstructured media with periodically arranged
inclusions has applications in many areas of physics and engineering, stretching from …

Localized defect modes generated by a finite line defect composed of several masses,
embedded in an infinite square cell lattice, are analysed using the linear superposition of …

We consider the problem of localized flexural waves in thin plates that have periodic
structure, consisting of a two-dimensional array of pins or point masses. Changing the …

We demonstrate an enhancement of the plane wave expansion method treating two-
dimensional photonic crystals by applying Fourier factorization with generally elliptic …

We experimentally demonstrate a tunable terahertz (THz) filter based on parallel plate
waveguides with corrugations. The filter is achieved by placing two gold-coated silicon …

This thesis considers the propagation of flexural waves through structures embedded in thin,
elastic plates. In a similar manner to photonic and phononic crystals, two-dimensional …