Multistabilities and symmetry-broken one-color and two-color states in closely coupled single-mode lasers

We theoretically investigate the dynamics of two mutually coupled, identical single-mode semi-conductor lasers. For small separation and large coupling between the lasers, symmetry-broken one-color states are shown to be stable. In this case the light outputs of the lasers have significantly different intensities while at the same time the lasers are locked to a single common frequency. For intermediate coupling we observe stable symmetry-broken two-color states, where both lasers lase simultaneously at two optical frequencies which are separated by up to 150 GHz. Using a five-dimensional model, we identify the bifurcation structure which is responsible for the appearance of symmetric and symmetry-broken one-color and two-color states. Several of these states give rise to multistabilities and therefore allow for the design of all-optical memory elements on the basis of two coupled single-mode lasers. The switching performance of selected designs of optical memory elements is studied numerically.

Breaking ranks: the emergence of representative associations in the Irish armed forces 1989-1992

This study contexualises the relationship between the armed forces and the civil authority in Ireland using and revising the theoretical framework advanced by Huntington. It tracks the evolution of the idea of a representive body for soldiers in the late 1980s, to the setting up of statutory associations under the Defence Amendment Act 1990. The study considers Irish soldiers political agitation and their use of peaceful democratic activities to achieve their aims. It highlights the fundamental policy arguments that were made against the idea of representation for the army and positions those arguments in the study of civil-military relations. Utilising unique access to secret Department of Defence files, it reveals in-depth ideological arguments advanced by the military authories in Ireland against independent representation. This thesis provides an academic study of the establishment of PDFORRA. It answers key questions regarding the change in the position of Irish government who were categorically opposed to the idea of representation in the army. It illustrates the involvement of other agencies such as the European Organisation of Military Associations (Euromil) reveals reciprocal support by the Irish associations to other emerging groups in Spain. Accessing as yet unpublished Department of Defence files, study analyses tension between the military authorities and the government. It highlights for the first time the role of enlisted personnel in the shaping of new state structures and successfully dismmisses Huntingtons theoretical contention that enlisted personnel are of no consequence in the study of civil-military relations. It fills a gap in our understanding, identified by Finer, as to how politicisation of soldiers takes place. This thesis brings a new dimension to the discipline of civil-military relations and creates new knowledge that will enhance our understanding of an area not covered previously.

Axial symmetry and transverse trace-free tensors in numerical relativity

Transverse trace-free (TT) tensors play an important role in the initial conditions of numerical relativity, containing two of the component freedoms. Expressing a TT tensor entirely, by the choice of two scalar potentials, is not a trivial task however. Assuming the added condition of axial symmetry, expressions are given in both spherical and cylindrical coordinates, for TT tensors in flat space. A coordinate relation is then calculated between the scalar potentials of each coordinate system. This is extended to a non-flat space, though only one potential is found. The remaining equations are reduced to form a second order partial differential equation in two of the tensor components. With the axially symmetric flat space tensors, the choice of potentials giving Bowen-York conformal curvatures, are derived. A restriction is found for the potentials which ensure an axially symmetric TT tensor, which is regular at the origin, and conditions on the potentials, which give an axially symmetric TT tensor with a spherically symmetric scalar product, are also derived. A comparison is made of the extrinsic curvatures of the exact Kerr solution and numerical Bowen-York solution for axially symmetric black hole space-times. The Brill wave, believed to act as the difference between the Kerr and Bowen-York space-times, is also studied, with an approximate numerical solution found for a mass-factor, under different amplitudes of the metric.