La critique du nationalisme de la "Semaine Sociale de Bordeaux" à la "Lutte pour la civilisation et la philosophie de la paix"

Over a long period the philosopher, Maurice Blondel, was an outspoken critic of exaggerated nationalism. The series of articles that appeared in 1909-10 in the Annales de philosophie chrétienne under the title of « La Semaine sociale de Bordeaux », and later were published in book form, contained a philosophically and theologically motivated critique of the early support shown by French Catholics for the doctrinaire nationalism of Charles Maurras. In 1928 Blondel returned to a critique of this same nationalism in his detailed article « Patrie et Humanité ». But the further criticism of nationalism contained in parts of his book Lutte pour la civilisation et philosophie de la paix, which was published in 1939 (and anew in 1947 in a slightly revised edition), was of a different order, being focused on the nationalism associated with what Blondel termed totalitarisme in its then German or Nazi form. Despite this record, it would be a mistake to assume that Blondel was an internationalist fitting clearly into the Briand mould. After the First World War Blondel favoured the hard-line foreign policy advocated by Poincaré and Foch, in particular over the future of the Rhineland. And he remained a conservative Catholic. His book of 1939 denounced not only totalitarisme in both its Nazi and Soviet forms, but also, on an opposing front, liberalism in the social and economic sphere. As to the deleterious effect of nationalism on international relations, he was an advocate of strengthening international law, notably the corpus of law emanating from The Hague. Maurice Blondel was greatly admired by Robert Schuman, the prominent French foreign minister under the Fourth Republic and a key figure for post-war European integration.

General bounds on Bayes errors for regression with Gaussian processes

Based on a simple convexity lemma, we develop bounds for different types of Bayesian prediction errors for regression with Gaussian processes. The basic bounds are formulated for a fixed training set. Simpler expressions are obtained for sampling from an input distribution which equals the weight function of the covariance kernel, yielding asymptotically tight results. The results are compared with numerical experiments.

Symmetric and asymmetric evaluation of the Tokamap in comparison with direct symplectic integration

Comparing the Poincaré plots of the Tokamap and the underlying Hamiltonian system reveals large differences. This stems from the particular choice of evaluation of the singular perturbations present in the system (a series of δ functions). A symmetric evaluation approach is proposed and shown to yield results that almost perfectly match the Hamiltonian system. © 2005 The American Physical Society.

Numerically optimized implementations, mitigation and simulations of polarisation mode dispersion in real-time transmission systems

The aim of this thesis is to present numerical investigations of the polarisation mode dispersion (PMD) effect. Outstanding issues on the side of the numerical implementations of PMD are resolved and the proposed methods are further optimized for computational efficiency and physical accuracy. Methods for the mitigation of the PMD effect are taken into account and simulations of transmission system with added PMD are presented. The basic outline of the work focusing on PMD can be divided as follows. At first the widely-used coarse-step method for simulating the PMD phenomenon as well as a method derived from the Manakov-PMD equation are implemented and investigated separately through the distribution of a state of polarisation on the Poincaré sphere, and the evolution of the dispersion of a signal. Next these two methods are statistically examined and compared to well-known analytical models of the probability distribution function (PDF) and the autocorrelation function (ACF) of the PMD phenomenon. Important optimisations are achieved, for each of the aforementioned implementations in the computational level. In addition the ACF of the coarse-step method is considered separately, based on the result which indicates that the numerically produced ACF, exaggerates the value of the correlation between different frequencies. Moreover the mitigation of the PMD phenomenon is considered, in the form of numerically implementing Low-PMD spun fibres. Finally, all the above are combined in simulations that demonstrate the impact of the PMD on the quality factor (Q=factor) of different transmission systems. For this a numerical solver based on the coupled nonlinear Schrödinger equation is created which is otherwise tested against the most important transmission impairments in the early chapters of this thesis.

Dissipative nonlinear structures in optical fiber systems III : dissipative solitons via nonlinear mapping

In the third and final talk on dissipative structures in fiber applications, we discuss mathematical techniques that can be used to characterize modern laser systems that consist of several discrete elements. In particular, we use a nonlinear mapping technique to evaluate high power laser systems where significant changes in the pulse evolution per cavity round trip is observed. We demonstrate that dissipative soliton solutions might be effectively described using this Poincaré mapping approach.

Dissipative nonlinear structures in optical fiber systems III:dissipative solitons via nonlinear mapping

In the third and final talk on dissipative structures in fiber applications, we discuss mathematical techniques that can be used to characterize modern laser systems that consist of several discrete elements. In particular, we use a nonlinear mapping technique to evaluate high power laser systems where significant changes in the pulse evolution per cavity round trip is observed. We demonstrate that dissipative soliton solutions might be effectively described using this Poincaré mapping approach.

Vector solitons with slowly evolving states of polarisation

We demonstrate experimentally and study theoretically new type of stable pulse structures in erbium-doped fibre lasers - slowly polarisation evolving vector solitons. Demonstrated vector solitons precess with characteristic times of 100-1000 round trips and their trajectories form a double semicircle on the Poincaré sphere. © 2012 Optical Society of America.