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We propose a double obstacle phase field approach to the recovery of piece-wise constant diffusion coefficients for elliptic partial differential equations. The approach to this inverse problem is that of optimal control in which we have a…

Numerical Analysis · Mathematics 2016-04-20 Klaus Deckelnick , Charles M. Elliott , Vanessa Styles

The polarization of light is critical in various applications, including quantum communication, where the photon polarization encoding a qubit can undergo uncontrolled changes when transmitted through optical fibers. Bends in the fiber,…

Quantum Physics · Physics 2025-06-03 Niklas Braband , Arman Mansouri , Riza Fazili , Stefanie Czischek , Jeff S. Lundeen

We present a simplified model for dynamical diffraction of particles through a periodic thick perfect crystal based on repeated application of a coherent beam splitting unitary at coarse-grained lattice sites. By demanding translational…

Quantum Physics · Physics 2016-12-14 J. Nsofini , K. Ghofrani , D. Sarenac , D. G. Cory , D. A. Pushin

By engineering the mode spectrum of a Kerr microresonator, we selectively activate nonlinear phase matching amongst broadband parametric gain. At threshold, optical parametric oscillators (OPOs) emerge from vacuum fluctuations in the…

The phase-field method has become a useful tool for the simulation of classical metallurgical phase transformations as well as other phenomena related to materials science. The thermodynamic consistency that forms the basis of these…

Due to their capacity for non-classical light generation, high-efficiency second-order nonlinear parametric processes play an important role in quantum photonic technology, and chip-scale realization of these processes is recognized as the…

In [18], Mozerov et al. propose to perform stereo matching as a two-step energy minimization problem. For the first step they solve a fully connected MRF model. And in the next step the marginal output is employed as the unary cost for a…

Computer Vision and Pattern Recognition · Computer Science 2016-02-15 Hongyang Xue , Deng Cai

The Kennedy-like receiver is a quasi-optimal receiver employed in binary phase-shift-keyed communication schemes with coherent states. It is based on the interference of the two signals encoding the message with a reference local oscillator…

Quantum Physics · Physics 2016-11-15 Matteo Bina , Alessia Allevi , Maria Bondani , Stefano Olivares

Building on our previously introduced Multi-cell Monte Carlo (MC)^2 method for modeling phase coexistence, this paper provides important improvements for efficient determination of phase equilibria in solids. The (MC)^2 method uses multiple…

Materials Science · Physics 2020-07-01 Edwin Antillon , Maryam Ghazisaeidi

We report new results regarding a source of polarization entangled photon-pairs created by the process of spontaneous parametric downconversion in two orthogonally oriented, periodically poled, bulk KTiOPO4 crystals (PPKTP). The source…

Quantum Physics · Physics 2009-11-11 Daniel Ljunggren , Maria Tengner , Philip Marsden , Matthew Pelton

Cascaded phase shifters (CPSs) based on silicon photonics integrated chips play important roles in quantum information processing tasks. Owing to an increase in the scale of silicon photonics chips, the time required to calibrate various…

Quantum Physics · Physics 2025-04-29 Yanxiang Jia , Xuyang Wang , Yizhuo Hou , Yu Zhang , Yuqi Shi , Qiang Zhang , Jun Zou , Yongmin Li

In this theoretical study, we show that a simple endlessly single-mode photonic crystal fiber can be designed to yield, not just two, but three zero-dispersion wavelengths. The presence of a third dispersion zero creates a rich…

Optics · Physics 2015-05-19 S. P. Stark , F. Biancalana , A. Podlipensky , P. St. J. Russell

Engineering alloys generally exhibit multi-phase microstructures. For simulating their microstructure evolution during solid-state phase transformation, CALPHAD-guided multi-phase-field models coupled with micro-mechanics have proven to be…

Materials Science · Physics 2023-01-05 Sourav Chatterjee , Daniel Schwen , Nele Moelans

We present a hybrid spectral element-Fourier spectral method for solving the coupled system of Navier-Stokes and Cahn-Hilliard equations to simulate wall-bounded two-phase flows in a three-dimensional domain which is homogeneous in at least…

Fluid Dynamics · Physics 2018-10-10 S. H. Challa , S. Dong , L. D. Zhu

In a fixed domain of $\Bbb{R}^N$ we study the asymptotic behaviour of optimal clusters associated to $\alpha$-Cheeger constants and natural energies like the sum or maximum: we prove that, as the parameter $\alpha$ converges to the…

Optimization and Control · Mathematics 2017-06-20 Beniamin Bogosel , Dorin Bucur , Ilaria Fragala

This paper introduces a parallel-in-time algorithm for efficient steady-state solution of the eddy current problem. Its main idea is based on the application of the well-known multi-harmonic (or harmonic balance) approach as the coarse…

Computational Engineering, Finance, and Science · Computer Science 2019-11-07 Iryna Kulchytska-Ruchka , Herbert De Gersem , Sebastian Schöps

We consider the problem of phase-covariant cloning for coherent states. We show that an experimental scheme based on ideal phase measurement and feedforward outperforms the semiclassical procedure of ideal phase measurement and preparation…

Quantum Physics · Physics 2007-05-23 Massimiliano F. Sacchi

The matching of multiple objects (e.g. shapes or images) is a fundamental problem in vision and graphics. In order to robustly handle ambiguities, noise and repetitive patterns in challenging real-world settings, it is essential to take…

Computer Vision and Pattern Recognition · Computer Science 2019-03-15 Florian Bernard , Johan Thunberg , Paul Swoboda , Christian Theobalt

Phase retrieval is in general a non-convex and non-linear task and the corresponding algorithms struggle with the issue of local minima. We consider the case where the measurement samples within typically very small and disconnected subsets…

Signal Processing · Electrical Eng. & Systems 2022-06-28 Jonas Kornprobst , Alexander Paulus , Josef Knapp , Thomas F. Eibert

This paper presents an efficient and quantitative phase-field model for elastically heterogeneous alloys that ensures the two mechanical compatibilities$\unicode{x2014}$static and kinematic, in conjunction with chemical equilibrium within…

Materials Science · Physics 2023-01-05 Sourav Chatterjee , Daniel Schwen , Nele Moelans
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