Space-Time-Modulated Metasurfaces with Spatial Discretization: Free-Space N -Path Systems

Online path planning with optimal C-space discretization

This paper is based on a path planning approach we reported earlier for industrial robot arms with 6 degrees of freedom in an on-line given 3D environment. It has online capabilities by searching in an implicit and descrete configuration space and detecting collisions in the Cartesian workspace by distance computation based on the given CAD model. Here, we present different methods for specifyi...

Subcarrier Intensity Modulated Free-space Optical Communication Systems

ii List of Figures viii List of Tables xiv Glossary of Abbreviations xv Glossary of Symbol xviii Dedication xxiv Acknowledgements xxv Declaration xxvi Chapter One Introduction 1 1.1 Background 1 1.2 Research Motivation and Justification 5 1.3 Research Objectives 11 1.4 Thesis Organisation 13 1.5 Original Contributions 15 1.6 List of Publications and Awards 18 Chapter Two Fundamentals of FSO 21 2.

Adaptive Time–Space Discretization for Combustion Problems

We present a self–adaptive finite element method to solve combustion problems in 1D, 2D, and 3D. An implicit time integrator of Rosenbrock type is coupled with a multilevel approach in space. A posteriori error estimates are obtained by constructing locally higher order solutions involving all variables of the problem. Adaptive strategies such as step size control, spatial refinement and coarse...

Time - Space Discretization of the Nonlinearhyperbolic System

Singularity-free space-time.

We show that the solution published in the paper by Senovilla [Phys. Rev. Lett. 64, 2219 (1990)] is geodesically complete and singularity-free. We also prove that the solution satisfies the stronger energy and causality conditions, such as global hyperbolicity, the strong energy condition, causal symmetry, and causal stability. A detailed discussion about which assumptions in the singularity th...