We will discuss the solution of eigenvalue problems associated with partial differential equations (PDE)s that can be written in the generalised form Ax = λMx, where the matrices A and/or M may depend on a scalar parameter. Parameter dependent matrices occur frequently when stabilised formulations are used for the numerical approximation of PDEs. With the help of classical numerical examples we will show that the presence of one (or both) parameters can produce unexpected results.

Hessian-dependent functionals play a pivotal role in a wide latitude of problems in mathematics. Arising in the context of differential geometry and probability theory, this class of problems find applications in the mechanics of deformable media (mostly in elasticity theory) and the modelling of slow viscous fluids. We study such functionals from three distinct perspectives.

We present a theoretical analysis of the Weak Adversarial Networks (WAN) method, recently proposed in [1, 2], as a method for approximating the solution of partial differential equations in high dimensions and tested in the framework of inverse problems. In a very general abstract framework.

Analogies between financial markets and critical phenomena have long been observed empirically. So far, no convincing theory has emerged that can explain these empirical observations. Here, we take a step towards such a theory by modeling financial markets as a lattice gas.

Wave propagation and scattering problems are of huge importance in many applications in science and engineering - e.g., in seismic and medical imaging and more generally in acoustics and electromagnetics.

In this short course, we will introduce some elements in deriving the hp a posteriori error estimate for a high-order unfitted finite element method for elliptic interface problems. The key ingredient is an hp domain inverse estimate, which allows us to prove a sharp lower bound of the hp a posteriori error estimator.

Abstract

100-300GHz wireless systems can provide very high data rates per signal beam,  and,

Abstract

Future communication links (future 5G) will require higher data rates, multiple beams, an

Abstract

Recently, interest has increased for millimeter wave antennas due to the high demand for

Abstract

Many aspects of our lives are recently becoming more dependent on communications through

Abstract

The emerging applications at millimeter wave frequencies have helped to achieve true Syst

Abstract

Millimeter-wave wireless systems offer high data rate, low latency, improved spectral eff

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This talk describes how plasmonic antennas offer high radiation powers and detection sens

CubeSats and SmallSats have resulted in tremendous amounts of excitement within research, industry and defense communities. They are responsible for a remarkable revolution in the arena of satellites for diverse applications.

Poster Session

Abstract

An original liquid crystal (LC)-based substrate integrated waveguide (SIW) leaky-wave ant

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The reconfigurable intelligent surface (RIS) based on discrete meta-surfaces with tunable

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In this talk we review our recent progress on the opportunities enabled by metamaterials

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Signaling analysis of nonlinear channels is challenging because it cannot rely on linear

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Terahertz (THz) frequency electromagnetic fields have numerous applications ranging from

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The topic of the presentation is a technique based on integral equations, the periodic Gr

Graphene-based ultrathin chiral metasurfaces offer dispersive optical activity in the early terahertz spectrum which results from retarded asymmetrical surface plasmon (SP) currents that are excited by the incident wave. By varying the chemical potential of graphene layer, the associated optical activity spectrum of the linearly polarized incident light waves can be shifted. Consequently, the reflected electromagnetic waves can take linear, circular, or elliptical polarizations depending on the chemical potential. Invoking the reciprocity, when different polarizations impinge the chiral metasurface, different patterns of asymmetric SP currents are formed on the chiral unit cells which can be detected and related to the incident polarizations. This presentation explores ways to exploit the forward control and inverse detection mechanisms of the Graphene-based chiral metasurfaces for telecommunication and biosensing applications. In particular, a unique scheme of polarization-state (PoSK) modulation and a polarization-based virus detection scheme are discussed. Polarization state Keying (PoSK): A dynamically controllable graphene metasurface is capable to switch the polarization state of incident THz waves in real-time. Full-wave simulation results shows that the polarization state modulation with the proposed chiral graphene based metasurface is capable to achieve quaternary modulation for digital communication system. Refractive Index Characterization for Virus Detection: The chirality of the highly sensitive graphene plasmonic metasurfaces can be exploited to characterize complex refractive indexes (RI) of influenza viruses by detecting the polarization state of the reflected electric fields in the THz spectrum. The unique polarization states are observed in the far-field with the ellipticity values that change rapidly with the analyte’s RI. The determination of biomolecular binding event is treated as an inverse problem in which the polarization states of the virus are compared with a pre-calculated calibration model.

Abstract

Signal processing and communication communities have witnessed the rise of many exciting

"Broadband connectivity has been fueling a steady enrichment of our lives for the past few decades, in education, commerce, health, and work. Consumption of data has been on an exponential growth curve during this period, doubling approximately every 18 to 24 months. Fifth-generation (5G) wireless rollout is in progress in most of the world to keep up with our demand for data, and projections for sixth-generation (6G) wireless predict up to a thousand-fold increase in mobile traffic by 2030. Yet our global connectivity infrastructure suffers from persistent disparities. According to the World Economic Forum’s 2020 report, less than 10% of households in low-income countries subscribe to fixed broadband, compared to 70% in middle-income and 90% in high-income countries, respectively. Overall, about half of the world’s population (approximately 4B people) do not have access to affordable and abundant broadband connectivity. Billions more remain under-connected today, as our internet infrastructure strains to keep up with increasing data demands. In this talk, we will discuss Wireless Optical Communication (WOC) and its pioneering role in a future where ubiquitous broadband internet will be accessible and affordable to everyone on the planet. We will introduce WOC fundamentals, with a focus on the technology pillars of Taara’s WOC design that have allowed us to balance performance with cost-effective manufacturing. We will conclude with examples from our real-world deployments that demonstrate the impact of this innovative technology when applied to the global connectivity challenge."

Abstract

The next generation of satellite communication systems aims to achieve a throughput of Te