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The use of finite harmonic oscillator spaces in many-body calculations introduces both infrared (IR) and ultraviolet (UV) errors. The IR effects are well approximated by imposing a hard-wall boundary condition at a properly identified…

核理论 · 物理学 2014-12-30 S. König , S. K. Bogner , R. J. Furnstahl , S. N. More , T. Papenbrock

We show that for any two distinct words $ s_1, s_2 $ over an arbitrary alphabets, there exists a deterministic finite automaton with $ O(\log^2 n) $ states that accepts $ s_1 $ and rejects $ s_2 $. This improves the previous upper bound of…

形式语言与自动机理论 · 计算机科学 2025-04-03 Bogdan C. Dumitru

Rapid developments in the emerging field of stretchable and conformable photonics necessitate analytical expressions for boundary conditions at metasurfaces of arbitrary geometries. Here, we introduce the concept of conformal boundary…

光学 · 物理学 2016-08-17 Jonathon Yi Han Teo , Liang Jie Wong , Carlo Molardi , Patrice Genevet

Many upper bounds for the moduli of polynomial roots have been proposed but reportedly assessed on selected examples or restricted classes only. Regarding quality measured in terms of worst-case relative overestimation of the maximum…

数值分析 · 数学 2024-11-26 Prashant Batra

All-optical modulation of light relies on exploiting intrinsic material nonlinearities. However, this optical control is rather challenging due to the weak dependence of the refractive index and absorption coefficients on the concentration…

We consider nonlinear effects in scattering of light by a periodic structure supporting optical bound states in the continuum. In the spectral vicinity of the bound states the scattered electromagnetic field is resonantly enhanced…

光学 · 物理学 2019-02-18 Evgeny N. Bulgakov , Dmitrii N. Maksimov

A model of nonlinear optical system surrounded by two loops of feedback is investigated. The cell with the vapor of rubidium - type atoms is taken in the capacity of nonlinear element. Two modes of near-resonant electromagnetic field…

量子物理 · 物理学 2015-05-20 George P. Miroshnichenko , Alexander I. Trifanov

Filled arrays of bolometers are currently being employed for use in astronomy from the far-infrared through millimeter parts of the electromagnetic spectrum. Because of the large range of wavelengths for which such detectors are applicable,…

The future fibre optic communications network will rely on photons as carriers of information, which may be stored in intensity, polarization or phase of light. However, processing of such optical information usually relies on electronics.…

光学 · 物理学 2015-03-17 Seyedmohammad A. Mousavi , Eric Plum , Jinhui Shi , Nikolay I. Zheludev

Modulational instability in a photorefractive medium is studied in the presence of two wave mixing. We then propose and derive a model for forward four wave mixing in the photorefractive medium and investigate the modulational instability…

斑图形成与孤子 · 物理学 2009-11-13 C. P. Jisha , V. C. Kuriakose , K. Porsezian , B. Kalithasan

Modularity has been widely studied as a mechanism to improve the capabilities of neural networks through various techniques such as hand-crafted modular architectures and automatic approaches. While these methods have sometimes shown…

神经与进化计算 · 计算机科学 2024-10-28 Humphrey Munn , Marcus Gallagher

High efficiency and a compact footprint are desired properties for electro-optic modulators. In this paper, we propose, theoretically investigate and experimentally demonstrate a recirculating phase modulator, which increases the modulation…

We consider an experiment with two qualitative factors at 2 levels each and a binary response, that follows a generalized linear model. In Mandal, Yang and Majumdar (2010) we obtained basic results and characterizations of locally D-optimal…

统计方法学 · 统计学 2015-03-17 Jie Yang , Abhyuday Mandal , Dibyen Majumdar

Lower bounds are obtained on the maximum field strength in one or both phases in a body containing two-phases. These bounds only incorporate boundary data that can be obtained from measurements at the surface of the body, and thus may be…

Optical resonators provide a powerful tool for testing aspects of Lorentz invariance. Here, we present a reanalysis of an experiment where a path asymmetry was created in an optical ring resonator by introducing a dielectric prism in one…

高能物理 - 唯象学 · 物理学 2015-08-12 Stephen R. Parker , Matthew Mewes , Fred N. Baynes , Michael E. Tobar

Adaptive estimation of linear functionals over a collection of parameter spaces is considered. A between-class modulus of continuity, a geometric quantity, is shown to be instrumental in characterizing the degree of adaptability over two…

统计理论 · 数学 2007-06-13 T. Tony Cai , Mark G. Low

Long-distance fiber communication stands as a cornerstone of modern technology. One of the underlying principles, preventing signal levels from diminishing below the detectability threshold, is optical amplification. In particular,…

量子物理 · 物理学 2023-09-15 Karol Łukanowski , Konrad Banaszek , Marcin Jarzyna

Linear max-plus systems describe the behavior of a large variety of complex systems. It is known that these systems show a periodic behavior after an initial transient phase. Assessment of the length of this transient phase provides…

离散数学 · 计算机科学 2012-09-18 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

In this technical communique we study the maximal robust positively invariant set for state-constrained continuous-time nonlinear systems subjected to a bounded disturbance. Extending results from the theory of barriers, we show that this…

最优化与控制 · 数学 2021-03-02 Willem Esterhuizen , Tim Aschenbruck , Stefan Streif

We analyze the ultimate bounds on the phase sensitivity of an interferometer, given the constraint that the state input to the interferometer's initial 50:50 beamsplitter $B$ is a product state of the two input modes. Requiring a product…

量子物理 · 物理学 2014-09-17 Matthias D. Lang , Carlton M. Caves