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Input-to-state stability (ISS) for systems described by partial differential equations has seen intensified research activity recently, and in particular the class of boundary control systems, for which truly infinite-dimensional effects…

Optimization and Control · Mathematics 2022-03-09 Felix Schwenninger

We analyze the dynamics of a solid-state laser driven by an injected sinusoidal field. For this type of laser, the cavity round-trip time is much shorter than its fluorescence time, yielding a dimensionless ratio of time scales $\sigma \ll…

chao-dyn · Physics 2009-10-31 M. K. Stephen Yeung , Steven H. Strogatz

A bound state in the continuum (BIC) on a periodic structure sandwiched between two homogeneous media is a guided mode with a frequency and a wavenumber such that propagating plane waves with the same frequency and wavenumber exist in the…

Pattern Formation and Solitons · Physics 2021-01-01 Lijun Yuan , Ya Yan Lu

Coupled lasers offer a promising approach to scaling the power output of photonic devices for applications demanding high frequency precision and beam coherence. However, maintaining coherence among lasers remains a fundamental challenge…

Disordered Systems and Neural Networks · Physics 2025-11-10 Ana Elisa D. Barioni , Arthur N. Montanari , Adilson E. Motter

A scheme to implement quantum logic gates by manipulating trapped ions through interaction with monochromatic external laser field and quantized cavity field, beyond the Lamb-Dicke regime, is presented. Characteristic times, for…

Quantum Physics · Physics 2009-11-07 S. Shelly Sharma , A. Vidiella-Barranco

A periodic structure sandwiched between two homogeneous media can support bound states in the continuum (BICs) that are valuable for many applications. It is known that generic BICs in periodic structures with an up-down mirror symmetry and…

Optics · Physics 2021-09-08 Lijun Yuan , Ya Yan Lu

In the last decade, symmetry-protected bound states in the continuum (BICs) have proven to be an important design principle for creating and enhancing devices reliant upon states with high quality (Q) factors, such as sensors, lasers, and…

We use the phenomenon of electromagnetically-induced transparency in a three-level atomic system for hyperfine spectroscopy of upper states that are not directly coupled to the ground state. The three levels form a ladder system: the probe…

Optics · Physics 2007-05-23 Anusha Krishna , Kanhaiya Pandey , Ajay Wasan , Vasant Natarajan

We present a consistent second order perturbation theory for the lowest-lying condensed modes of very small, weakly-interacting Bose-Einstein condensates in terms of bare particle eigenstates in a harmonic trap. After presenting our general…

Condensed Matter · Physics 2007-05-23 N. P. Proukakis , P. Lambropoulos

A fully dynamic three-layer active constrained layer (ACL) beam is modeled for cantilevered boundary conditions by using a thorough variational approach. The Rao-Nakra thin compliant layer assumptions are adopted to model the sandwich…

Analysis of PDEs · Mathematics 2023-06-21 Ahmet Ozkan Ozer

Learned image compression (LIC) is currently the cutting-edge method. However, the inherent difference between testing and training images of LIC results in performance degradation to some extent. Especially for out-of-sample,…

Image and Video Processing · Electrical Eng. & Systems 2026-01-05 Honggui Li , Sinan Chen , Dingtai Li , Zhengyang Zhang , Nahid Md Lokman Hossain , Xinfeng Xu , Yinlu Qin , Ruobing Wang , Maria Trocan , Dimitri Galayko , Amara Amara , Mohamad Sawan

The Large Intelligent Surface (LIS) concept is a promising technology aiming to revolutionize wireless communication by exploiting spatial multiplexing at its fullest. Despite of its potential, due to the size of the LIS and the large…

Signal Processing · Electrical Eng. & Systems 2019-11-26 Jesus Rodriguez Sanchez , Fredrik Rusek , Ove Edfors , Liang Liu

The optimal control of two-level systems by time-dependent laser fields is studied using a variational theory. We obtain, for the first time, general analytical expressions for the optimal pulse shapes leading to global maximization or…

Quantum Physics · Physics 2009-11-10 Martin E. Garcia , Ilia Grigorenko

Sequential processes in real-world often carry a combination of simple subsystems that interact with each other in certain forms. Learning such a modular structure can often improve the robustness against environmental changes. In this…

Machine Learning · Computer Science 2023-11-07 Ziyu Wang , Wenhao Jiang , Zixuan Zhang , Wei Tang , Junchi Yan

Dissipative dynamical systems characterised by two basins of attraction are found in many physical systems, notably in hydrodynamics where laminar and turbulent regimes can coexist. The state space of such systems is structured around a…

Fluid Dynamics · Physics 2020-09-11 Miguel Beneitez , Yohann Duguet , Philipp Schlatter , Dan S. Henningson

The bulk of computational approaches for modeling physical systems in materials science derive from either analytical (i.e. physics based) or data-driven (i.e. machine-learning based) origins. In order to combine the strengths of these two…

Computational Physics · Physics 2021-09-22 Conlain Kelly , Surya R. Kalidindi

This paper addresses the data-driven structured controller design problem for continuous-time linear time-invariant (LTI) systems. We consider three control objectives, including stabilization, $H_2$ performance, and $H_\infty$ performance.…

Optimization and Control · Mathematics 2026-01-29 Zhaohua Yang , Yuxing Zhong , Ling Shi

We present a unified approach to the theory of multimodal laser cavities including a variable amount of structural disorder. A general mean-field theory is studied for waves in media with variable non-linearity and randomness. Phase…

Optics · Physics 2015-02-03 Fabrizio Antenucci , Claudio Conti , Andrea Crisanti , Luca Leuzzi

This work proposes a two-layered control scheme for constrained nonlinear systems represented by a class of recurrent neural networks and affected by additive disturbances. In particular, a base controller ensures global or regional…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Daniele Ravasio , Danilo Saccani , Marcello Farina , Giancarlo Ferrari-Trecate

Bound states in the continuum (BICs) are trapped or guided modes with frequencies in radiation continua. They are associated with high-quality-factor resonances that give rise to strong local field enhancement and rapid variations in…

Optics · Physics 2021-05-26 Lijun Yuan , Ya Yan Lu