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This work deals with Schr\"odinger equations with quadratic and sub-quadratic Hamiltonians perturbed by a potential. In particular we shall focus on bounded, but not necessarily smooth perturbations. We shall give a representation of such…

Analysis of PDEs · Mathematics 2015-02-19 Elena Cordero , Fabio Nicola

The application of transformation optics to the development of intriguing electromagnetic devices can produce weakly anisotropic or isotropic media with the assistance of quasi-conformal and/or conformal mapping, as opposed to the strongly…

Optics · Physics 2023-01-03 Xiaoyu Zhao , Hong Deng , Xiaoke Gao , Xikui Ma , Tianyu Dong

The scattering of electromagnetic waves from obstacles with wave-material interaction in thin layers on the surface is described by generalized impedance boundary conditions, which provide effective approximate models. In particular, this…

Numerical Analysis · Mathematics 2022-02-04 Jörg Nick , Balázs Kovács , Christian Lubich

Multi-agent systems are increasingly widespread in a range of application domains, with optimization and learning underpinning many of the tasks that arise in this context. Different approaches have been proposed to enable the cooperative…

Optimization and Control · Mathematics 2025-09-04 Nicola Bastianello , Luca Schenato , Ruggero Carli

Optical multiplexing is a key technique that enhances the capacity of optical systems by independently modulating various optical parameters to carry distinct information. Among these parameters, wavelength, polarization, and angle are the…

Optics · Physics 2024-08-20 Rui Wei , Hongsheng Shi , Boyou Wang , Baojun Li , Yanjun Bao

Constellation shaping is a practical and effective technique to improve the performance and the rate adaptivity of optical communication systems. In principle, it could also be used to mitigate the impact of nonlinear effects, possibly…

Information Theory · Computer Science 2022-06-08 Marco Secondini , Stella Civelli , Enrico Forestieri , Lareb Zar Khan

Stacked intelligent metasurfaces (SIMs) extend the concept of reconfigurable intelligent surfaces by cascading multiple programmable layers, enabling advanced electromagnetic wave transformations for communication and sensing applications.…

Signal Processing · Electrical Eng. & Systems 2026-03-24 Giuseppe Pettanice , Andrea Abrardo , Alberto Toccafondi , Marco Di Renzo

There is a fundamental limit on the capacity of fibre optical communication system (Shannon Limit). This limit can be potentially overcome via using Nonlinear Frequency Division Multiplexing. Dealing with noises in these systems is one of…

Information Theory · Computer Science 2017-11-28 Wen Qi Zhang , Tao Gui , Qun Zhang , Chao Lu , Tanya M. Monro , Terence H. Chan , Alan Pak Tao Lau , Shahraam Afshar

We develop a dual description of quantum optics adapted to dielectric systems without magnetic property. Our formalism, which is shown to be equivalent to the standard one within some dipolar approximations discussed in the article, is…

Quantum Physics · Physics 2016-12-21 Aurĺien Drezet

We analyze theoretically and experimentally how nonlinear differential-transmission spectroscopy of a lambda-system medium can provide quantitative understanding of the optical dipole moments and transition energies. We focus on the…

Materials Science · Physics 2015-01-07 J. P. de Jong , A. R. Onur , D. Reuter , A. D. Wieck , C. H. van der Wal

Temporally modulated optical media are important in both abstract and applied applications, such as spacetime transformation optics, relativistic laser-plasma interactions, and dynamic metamaterials. Here we investigate the behaviour of…

In this paper we propose the capacity optimization over sensing threshold for sensing-based cognitive radio networks. The objective function of the proposed optimization is to maximize the capacity at the secondary user subject to the…

Information Theory · Computer Science 2013-01-29 Fotis Foukalas , George T. Karetsos , Lazaros Merakos

The advances in geometric approaches to optical devices due to transformation optics has led to the development of cloaks, concentrators, and other devices. It has also been shown that transformation optics can be used to gravitational…

Other Condensed Matter · Physics 2017-03-13 Sophia R. Sklan , Baowen Li

Photonic devices play an increasingly important role in advancing physics and engineering, and while improvements in nanofabrication and computational methods have driven dramatic progress in expanding the range of achievable optical…

Nonlinear optics is a rapidly growing field that has found a wide range of applications. A major limitation, however, is the demand of high power, especially for high-order nonlinearities. Here, by reconfiguring a multiple-scattering…

Optics · Physics 2022-08-19 Yaniv Eliezer , Ulrich Ruhrmair , Nils Wisiol , Stefan Bittner , Hui Cao

Optical near fields are at the heart of various applications in sensing and imaging. We investigate dipole scattering as a parameter estimation problem and show that optical near-fields carry more information about the location and the…

Quantum Physics · Physics 2024-06-18 Lukas Kienesberger , Thomas Juffmann , Stefan Nimmrichter

Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the operators' symbols. The flexibility and…

Functional Analysis · Mathematics 2015-02-12 Shahla Molahajloo , Kasso A. Okoudjou , Götz E. Pfander

The Terahertz band holds a promise to enable both super-accurate sensing and ultra-fast communication. However, challenges arise that severe Doppler effects call for a waveform with high Doppler robustness while severe propagation path loss…

Signal Processing · Electrical Eng. & Systems 2025-02-26 Meilin Li , Chong Han , Shi Jin

We establish a spectral duality for certain unbounded operators in Hilbert space. The class of operators includes discrete graph Laplacians arising from infinite weighted graphs. The problem in this context is to establish a practical…

Functional Analysis · Mathematics 2008-08-05 Dorin Ervin Dutkay , Palle E. T. Jorgensen

Optimal multi-layer device design requires consideration of fabrication uncertainties associated with inter-layer alignment and conformal layering. We present layer-restricted topology optimization (TO), a novel technique which mitigates…