Publications related to Hyperbolic geometry

Concentration compactness for critical radial wave maps

We consider radially symmetric, energy critical wave maps from (1 + 2)-dimensional Minkowski space into the unit sphere

\mathbf{S}^m

, m≥1, and prove global regularity and scattering for classical smooth data of finite energy. In addition, we establish a ...

2018

Optimum Truss Design with Reused Stock Elements

Corentin Jean Dominique Fivet, Gennaro Senatore, Jan Friedrich Georg Brütting, Joseph Jean François Desruelle

This paper proposes the application of optimization techniques to design reticular structures made from a stock of reused elements. Still little explored, the reuse of structural components over multiple service lives has the potential to reduce the enviro ...

2018

Leakage Flux Modeling of Multi-Winding Transformers for System-Level Simulations

Drazen Dujic, Min Luo, Jost Allmeling

In multiwinding transformers, different geometry of the individual windings leads to unbalanced leakage flux paths. The unbalance affects the behavior of the power electronic converters, where these transformers are used. This paper proposes an approach to ...

Ieee-Inst Electrical Electronics Engineers Inc2018

Geometry-aware Robot Manipulability Transfer

Sylvain Calinon, Noémie Laure Gwendoline Jaquier

Humans naturally vary their body posture in order to quickly move or apply forces along specific directions. Such posture changes are strongly linked to the specific requirements of the task at hand, and therefore play a relevant role on task performance. ...

2018

A Review and Mathematical Treatment of Infinity on the Smith Chart, 3D Smith Chart and Hyperbolic Smith Chart

Mihai Adrian Ionescu, Andrei Müller

This work describes the geometry behind the Smith chart, recent 3D Smith chart tool and previously reported conceptual Hyperbolic Smith chart. We present the geometrical properties of the transformations used in creating them by means of inversive geometry ...

MDPI2018

Optimum Truss Design with Reused Stock Elements

Corentin Jean Dominique Fivet, Gennaro Senatore, Jan Friedrich Georg Brütting, Joseph Jean François Desruelle

This paper proposes the application of optimization techniques to design reticular structures made from a stock of reused elements. Still little explored, the reuse of structural components over multiple service lives has the potential to reduce the enviro ...

2018

MATHICSE Technical Report : An algebraic least squares reduced basis method for the solution of parametrized Stokes equations

Alfio Quarteroni, Simone Deparis, Andrea Manzoni, Niccolò Dal Santo

In this paper we propose a new, purely algebraic, Petrov-Galerkin reduced basis (RB) method to solve the parametrized Stokes equations, where parameters serve to identify the (variable) domain geometry. Our method is obtained as an algebraic least squares ...

MATHICSE2018

Stepwise Luneburg Lens for Bloch Surface Waves

Myun Sik Kim, Babak Vosoughi Lahijani

In order to enlarge the capability for in-plane manipulation of the Bloch surface wave (BSW), we investigate 2D gradient index (GRIN) optical components using a finite-difference time-domain (FDTD) numerical method. To ease difficulties in fabrication to a ...

2018

Experimental demonstration of critical coupling of whispering gallery mode cavities on Bloch surface wave platform

Hans Peter Herzig, Myun Sik Kim, Richa Dubey, Babak Vosoughi Lahijani

We experimentally demonstrate critical coupling of whispering gallery mode (WGM) disk resonators implemented on a Bloch surface wave platform using scanning near-field optical microscopy. The studied structure is a 60 nm thick TiO 2 TiO2 WGM disk cavity (r ...

Optical Society of America2017

The cost of omnidirectionality: extracting and labelling the echoes

Julien Olivier Thierry Rüegg

This report explains all theoretical and practical aspects of a 2D room re- construction algorithm based on euclidean geometry. Detailed theoretical explanations about the procedure are given in the first part. In the second part, a precise description of ...

2017

Hyperbolic geometry

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Concentration compactness for critical radial wave maps

Optimum Truss Design with Reused Stock Elements

Leakage Flux Modeling of Multi-Winding Transformers for System-Level Simulations

Geometry-aware Robot Manipulability Transfer

A Review and Mathematical Treatment of Infinity on the Smith Chart, 3D Smith Chart and Hyperbolic Smith Chart

Optimum Truss Design with Reused Stock Elements

MATHICSE Technical Report : An algebraic least squares reduced basis method for the solution of parametrized Stokes equations

Stepwise Luneburg Lens for Bloch Surface Waves

Experimental demonstration of critical coupling of whispering gallery mode cavities on Bloch surface wave platform

The cost of omnidirectionality: extracting and labelling the echoes

Optimum Truss Design with Reused Stock Elements

Leakage Flux Modeling of Multi-Winding Transformers for System-Level Simulations

A Review and Mathematical Treatment of Infinity on the Smith Chart, 3D Smith Chart and Hyperbolic Smith Chart

Optimum Truss Design with Reused Stock Elements

MATHICSE Technical Report : An algebraic least squares reduced basis method for the solution of parametrized Stokes equations

The cost of omnidirectionality: extracting and labelling the echoes

Stepwise Luneburg Lens for Bloch Surface Waves

Experimental demonstration of critical coupling of whispering gallery mode cavities on Bloch surface wave platform

Concentration compactness for critical radial wave maps

Geometry-aware Robot Manipulability Transfer