Mathematical and numerical modelling of dispersion-managed solitons, autosolitons and self-similar optical pulses

This thesis presents theoretical investigation of three topics concerned with nonlinear optical pulse propagation in optical fibres. The techniques used are mathematical analysis and numerical modelling. Firstly, dispersion-managed (DM) solitons in fibre lines employing a weak dispersion map are analysed by means of a perturbation approach. In the case of small dispersion map strengths the average pulse dynamics is described by a perturbation approach (NLS) equation. Applying a perturbation theory, based on the Inverse Scattering Transform method, an analytic expression for the envelope of the DM soliton is derived. This expression correctly predicts the power enhancement arising from the dispersion management.Secondly, autosoliton transmission in DM fibre systems with periodical in-line deployment of nonlinear optical loop mirrors (NOLMs) is investigated. The use of in-line NOLMs is addressed as a general technique for all-optical passive 2R regeneration of return-to-zero data in high speed transmission system with strong dispersion management. By system optimisation, the feasibility of ultra-long single-channel and wavelength-division multiplexed data transmission at bit-rates ³ 40 Gbit s-1 in standard fibre-based systems is demonstrated. The tolerance limits of the results are defined.Thirdly, solutions of the NLS equation with gain and normal dispersion, that describes optical pulse propagation in an amplifying medium, are examined. A self-similar parabolic solution in the energy-containing core of the pulse is matched through Painlevé functions to the linear low-amplitude tails. The analysis provides a full description of the features of high-power pulses generated in an amplifying medium.

Queer enough? Contested terrains of identity deployment in the context of gay and lesbian public activism in Poland

Gay and lesbian prides and marches are of crucial relevance to the way in which non-heterosexual lives are imagined internationally despite regional and national differences. Quite often, these events are connected not only with increased activist mobilisation, but also with great controversy, which is the case of Poland, where gay and lesbian marches have been attacked by right-wing protesters and cancelled by right-wing city authorities on a number of occasions. Overall, the scholars analysing these events have largely focused on the macro-context of the marches, paying less attention to the movement actors behind these events. The contribution of this thesis lies not only in filling a gap when it comes to research on sexual minorities in Eastern Europe/Poland, but also in its focus on micro-level movement processes and engagement with theories of collective identity and citizenship. Furthermore, this thesis challenges the inscription of Eastern European/Polish movements into the narrative of victimhood and delayed development when compared to LGBT movements in the Global North. This thesis is grounded in qualitative research including participant observation of public activist events as well as forty semi-structured interviews with the key organisers of gay and lesbian marches in Warsaw, Poznan and Krakow between 2001 and 2007, and five of these interviews were further accompanied by photo-elicitation (self-directed photography) methods. Starting from the processes whereby from 2001 onwards, marches, pride parades and demonstrations became the most visible and contested activity of the Polish lesbian and gay movement, this thesis examines how the activists redefined the meanings of citizenship in the post-transformation context, by incorporating the theme of sexual minorities' rights. Using Bernstein's (1997, 2002, 2005, 2008) concept of identity deployment, I show how and when movement actors use identity tactically, depending on their goals. Specifically, in the context of movement-media interactions, I examine the ways in which the activists use marches to challenge the negative representations of sexual minorities in Poland. I also broaden Bernstein's framework to include the discussion of emotion work as relevant to public LGBT activism in Poland. Later, I discuss how the emotions of protests allowed the activists to inscribe their efforts into the "revolutionary" narrative of the Polish Solidarity movement and by extension, the frame of citizenship. Finally, this thesis engages with the dilemmas of identity deployment strategies, and seeks to problematise the dichotomy between identity-based gay and lesbian assimilationist strategies and the anti-identity queer politics.

Development and deployment of an autonomous micro-drilling system for cochleostomy

This thesis describes the design and development of an autonomous micro-drilling system capable of accurately controlling the penetration of complaint tissues and its application to the drilling of the cochleostomy; a key stage in the cochlea implant procedure. The drilling of the cochleostomy is a precision micro-surgical task in which the control of the burr penetration through the outer bone tissue of the cochlea is vital to prevent damage to the structures within and requires a high degree of skill to perform successfully. The micro-drilling system demonstrates that the penetration of the cochlea can be achieved consistently and accurately. Breakthrough can be detected and controlled to within 20µm of the distal surface and the hole completed without perforation of the underlying endosteal membrane, leaving the membranous cochlea intact. This device is the first autonomous surgical tool successfully deployed in the operating theatre. The system is unique due to the way in which it uses real-time data from the cutting tool to derive the state of the tool-tissue interaction. Being a smart tool it uses this state information to actively control the way in which the drilling process progresses. This sensor guided strategy enables the tool to self-reference to the deforming tissue and navigate without the need for pre-operative scan data. It is this capability that enables the system to operate in circumstances where the tissue properties and boundary conditions are unknown, without the need to restrain the patient.

Supporting decision-making for self-adaptive systems:from goal models to dynamic decision networks

Context/Motivation - Different modeling techniques have been used to model requirements and decision-making of self-adaptive systems (SASs). Specifically, goal models have been prolific in supporting decision-making depending on partial and total fulfilment of functional (goals) and non-functional requirements (softgoals). Different goalrealization strategies can have different effects on softgoals which are specified with weighted contribution-links. The final decision about what strategy to use is based, among other reasons, on a utility function that takes into account the weighted sum of the different effects on softgoals. Questions/Problems - One of the main challenges about decisionmaking in self-adaptive systems is to deal with uncertainty during runtime. New techniques are needed to systematically revise the current model when empirical evidence becomes available from the deployment. Principal ideas/results - In this paper we enrich the decision-making supported by goal models by using Dynamic Decision Networks (DDNs). Goal realization strategies and their impact on softgoals have a correspondence with decision alternatives and conditional probabilities and expected utilities in the DDNs respectively. Our novel approach allows the specification of preferences over the softgoals and supports reasoning about partial satisfaction of softgoals using probabilities. We report results of the application of the approach on two different cases. Our early results suggest the decision-making process of SASs can be improved by using DDNs. © 2013 Springer-Verlag.

A modelling and simulation environment for self-aware and self-expressive systems

Self-awareness and self-expression are promising architectural concepts for embedded systems to be equipped with to match them with dedicated application scenarios and constraints in the avionic and space-flight industry. Typically, these systems operate in largely undefined environments and are not reachable after deployment for a long time or even never ever again. This paper introduces a reference architecture as well as a novel modelling and simulation environment for self-aware and self-expressive systems with transaction level modelling, simulation and detailed modelling capabilities for hardware aspects, precise process chronology execution as well as fine timing resolutions. Furthermore, industrial relevant system sizes with several self-aware and self-expressive nodes can be handled by the modelling and simulation environment.