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A new approach was proposed to accurately determine the thickness of film, especially for ultra-thin film, through spectrum fitting with the assistance of interference layer. The determination limit can reach even less than 1 nm. Its…

Optics · Physics 2016-06-20 Xingxing Liu , Shao-Wei Wang , Hui Xia , Xutao Zhang , Ruonan Ji , Tianxin Li , Wei Lu

Precise measurement of the angular deviation of an object is a common task in science and technology. Many methods use light for this purpose. Some of these exploit interference effects to achieve technological advantages, such as…

Quantum Physics · Physics 2020-08-19 G. H. Aguilar , R. S. Piera , P. L. Saldanha , R. L. de Matos Filho , S. P. Walborn

The determination of the stability of the long-lived consensus problem is a fundamental open problem in distributed systems. We concentrate on the memoryless binary case with geodesic paths. We offer a conjecture on the stability in this…

Discrete Mathematics · Computer Science 2011-02-22 Cristina G. Fernandes , Maya Stein

System of differential equations describing the initial stage of the capture of oscillatory systems into the parametric autoresonance is considered. Of special interest are solutions whose amplitude increases without bound with time. The…

Mathematical Physics · Physics 2023-10-11 Oskar Sultanov

This work is devoted to the stability/resolution analysis of several imaging functionals in complex environments. We consider both linear functionals in the wavefield as well as quadratic functionals based on wavefield correlations. Using…

Analysis of PDEs · Mathematics 2015-01-27 G. Bal , O. Pinaud , L. Ryzhik

Radar interferometry usually exploits two complex-valued radar images with the same resolution to extract terrain elevation information. This paper considers the interferometry using two radar images with different resolutions, which we…

Information Theory · Computer Science 2018-12-14 Huizhang Yang , Chengzhi Chen , Shengyao Chen , Feng Xi , Zhong Liu

We examine resonances for two systems consisting of a particle coupled to a massless boson's field. The field is the free field in the whole space. In the first system, the particle is confined inside a ball. We show that besides the usual…

Fluid Dynamics · Physics 2007-05-23 Claude Billionnet

We study the excitation spectrum of light and strange mesons in diffractive scattering. We identify different hadron resonances through partial wave analysis, which inherently relies on analysis models. Besides statistical uncertainties,…

High Energy Physics - Phenomenology · Physics 2023-11-07 Florian Markus Kaspar , Julien Beckers , Jakob Knollmüller

We have developed a physics-informed transformer model to suggest design parameters in wavelength-filtering ring resonator, that suit a given pair of resonant wavelengths with <6 nm errors. The model provides a versatile method for rapid…

Optics · Physics 2025-04-25 Yu Dian Lim , Feng Shuo Wan , Ren Jie Wan , Chuan Seng Tan

We consider the production and scattering amplitudes of heavy mesons in a situation, where there are two closely spaced narrow resonances, which structure we refer to as a diresonance. Assuming strong overlapping of the resonances coupled…

High Energy Physics - Phenomenology · Physics 2008-12-30 S. Dubynskiy , M. B. Voloshin

We present a new method for resolving combinatorial ambiguities that arise in multi-particle decay chains at hadron colliders where the assignment of visible particles to the different decay chains has ambiguities. Our method, based on…

High Energy Physics - Phenomenology · Physics 2011-05-25 Arvind Rajaraman , Felix Yu

Partial wave analysis is an important tool for analyzing large data sets in hadronic decays of light and heavy mesons. It commonly relies on the isobar model, which assumes multihadron final states originate from successive two-body decays…

High Energy Physics - Phenomenology · Physics 2018-06-13 F. Krinner , D. Greenwald , D. Ryabchikov , B. Grube , S. Paul

Whether one starts form the analytic S-matrix definition or the requirement of gauge parameter independence in renormalization theory, a relativistic resonance is given by a pole at a complex value s of energy squared. The complex number s…

High Energy Physics - Phenomenology · Physics 2009-11-10 Arno R. Bohm , Yoshihiro Sato

We consider the decay of a generic resonance to two visible particles and any number of invisible particles. We show that the shape of the invariant mass distribution of the two visible particles is sensitive to both the mass spectrum of…

High Energy Physics - Phenomenology · Physics 2014-06-11 Won Sang Cho , Doojin Kim , Konstantin T. Matchev , Myeonghun Park

We propose to use multi-photon interferences from statistically independent light sources in combination with linear optical detection techniques to enhance the resolution in imaging. Experimental results with up to five independent thermal…

Quantum Physics · Physics 2015-01-15 Steffen Oppel , Thomas Büttner , Pieter Kok , Joachim von Zanthier

In this Letter we report new effects of resonance detuning on various dynamical parameters of a generic 3-wave system. Namely, for suitably chosen values of detuning the variation range of amplitudes can be significantly wider than for…

Classical Physics · Physics 2020-05-26 Denys Dutykh , Elena Tobisch

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

Econometrics · Economics 2026-01-13 Jiawei Fu , Donald P. Green

We study theoretically the responsivity of optical modulators. For the case of linear response we find using perturbation theory an upper bound imposed upon the responsivity. For the case of two mode modulator we find a lower bound imposed…

Quantum Physics · Physics 2009-11-11 Eyal Buks

This paper analyzes the structure of the set of nodal solutions of a class of one-dimensional superlinear indefinite boundary values problems with an indefinite weight functions in front of the spectral parameter. Quite astonishingly, the…

Analysis of PDEs · Mathematics 2020-05-21 Martin Fencl , Julián López-Gómez

We consider linear reaction--diffusion problems with mixed Diriclet-Neumann-Robin conditions. The diffusion matrix, reaction coefficient, and the coefficient in the Robin boundary condition are defined with an uncertainty which allow…

Numerical Analysis · Mathematics 2014-07-29 O. Mali , S. Repin