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An $(n, k)$-Poisson Multinomial Distribution (PMD) is a random variable of the form $X = \sum_{i=1}^n X_i$, where the $X_i$'s are independent random vectors supported on the set of standard basis vectors in $\mathbb{R}^k.$ In this paper, we…

Data Structures and Algorithms · Computer Science 2016-06-23 Ilias Diakonikolas , Daniel M. Kane , Alistair Stewart

Polarization mode dispersion (PMD) in optical fibers poses a major challenge for maintaining the fidelity of quantum states for quantum communications. In this work, a comprehensive model linking the probability of quantum measurement…

The use of quantum correlations between photons to measure polarization mode dispersion (PMD) and chromatic dispersion is investigated. Two types of apparatus are discussed which use coincidence counting of entangled photon pairs to allow…

Quantum Physics · Physics 2011-06-28 A. Fraine , D. S. Simon , O. Minaeva , R. Egorov , A. V. Sergienko

This paper studies highly oscillatory solutions to a class of systems of semilinear hyperbolic equations with a small parameter, in a setting that includes Klein--Gordon equations and the Maxwell--Lorentz system. The interest here is in…

Analysis of PDEs · Mathematics 2022-07-01 Julian Baumstark , Tobias Jahnke , Christian Lubich

Polarization mode dispersion (PMD) is a challenge for high-data-rate optical-communication systems. More researches are desirable for impairments that is induced by PMD in high-speed optical orthogonal frequency division multiplexing (OFDM)…

Information Theory · Computer Science 2013-12-02 Jianping Wang , Ke Zhang , Xianyu Du , He Zhen , Jing Yan

A hybrid model is presented for hadron polarization that is based on perturbative QCD subprocesses and the recombination of polarized quarks to form polarized hadrons. The model, originally applied to polarized $\Lambda$'s that were…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gary R. Goldstein

The non-reciprocal and dynamic nature of polarization mode dispersion (PMD) in optical fibers can be a problem for accurate time and frequency transfer. Here a simple, passive solution is put forward that is based on transmitting optical…

Optics · Physics 2022-04-13 Thomas Fordell

We present an accurate and efficient method to calculate the effect of random fluctuations of the local field at the muon, for instance in the case muon diffusion, within the framework of the strong collision approximation. The method is…

Other Condensed Matter · Physics 2015-06-19 Giuseppe Allodi , Roberto De Renzi

The collinear factorization theorem, combined with finite-order calculations in perturbative QCD, provides a powerful framework to obtain predictions for many collider observables. However, for observables which involve multiple energy…

High Energy Physics - Phenomenology · Physics 2022-02-03 Aleksandra Lelek

Sometime ago, Galtarossa et al presented some approximate analytical results for the Polarization Mode Dispersion (PMD) assuming a Fixed Modulus Model for the random birefringence. We solve the model exactly and present some new analytical…

Optics · Physics 2010-06-25 Vinod K. Mishra

We propose a model-based machine-learning approach for polarization-multiplexed systems by parameterizing the split-step method for the Manakov-PMD equation. This approach performs hardware-friendly DBP and distributed PMD compensation with…

Signal Processing · Electrical Eng. & Systems 2020-01-29 Christian Häger , Henry D. Pfister , Rick M. Bütler , Gabriele Liga , Alex Alvarado

The polarization of $\Lambda_b$ baryon has been measured in ALEPH, OPAL and DELPHI experiments. A significant loss on the transfer of the $b$ quark polarization to the $\Lambda_b$ baryon polarization has been noticed. This implies that the…

High Energy Physics - Phenomenology · Physics 2011-01-25 Tsung-Wen Yeh

We present a high order, Fourier penalty method for the Maxwell's equations in the vicinity of perfect electric conductor boundary conditions. The approach relies on extending the smooth non-periodic domain of the equations to a periodic…

Numerical Analysis · Mathematics 2016-01-20 Ryan Galagusz , David Shirokoff , Jean-Christophe Nave

This study explores reduced-order modeling for analyzing the time-dependent diffusion-deformation of hydrogels. The full-order model describing hydrogel transient behavior consists of a coupled system of partial differential equations in…

Computational Engineering, Finance, and Science · Computer Science 2024-06-18 Gopal Agarwal , Jorge-Humberto Urrea-Quintero , Henning Wessels , Thomas Wick

We present BIFROST, a first-principles model of polarization mode dispersion (PMD) in optical fibers. Unlike conventional models, BIFROST employs physically motivated representations of the PMD properties of fibers, allowing users to…

Optics · Physics 2026-03-24 Patrick R. Banner , Steven L. Rolston , Joseph W. Britton

Polarization-division multiplexed (PDM) transmission based on the nonlinear Fourier transform (NFT) is proposed for optical fiber communication. The NFT algorithms are generalized from the scalar nonlinear Schr\"odinger equation for one…

Information Theory · Computer Science 2017-11-22 Jan-Willem Goossens , Mansoor I. Yousefi , Yves Jaouën , Hartmut Hafermann

Existing score-based methods for inverse problems often resort to approximate minimization of the KL divergence between the inversion distribution and the Bayesian posterior. Such an approximation leads to severe mode collapse and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Weimin Bai , Yuxuan Gu , Yifei Wang , Weijian Luo , He Sun

A quantum theory of dispersion for an inhomogeneous solid is obtained, from a starting point of multipolar coupled atoms interacting with an electromagnetic field. The dispersion relations obtained are equivalent to the standard classical…

Quantum Physics · Physics 2009-10-31 P. D. Drummond , M. Hillery

This paper introduces a reduced-order modeling approach based on finite volume methods for hyperbolic systems, combining Proper Orthogonal Decomposition (POD) with the Discrete Empirical Interpolation Method (DEIM) and Proper Interval…

Numerical Analysis · Mathematics 2025-05-07 I. Gómez-Bueno , E. D. Fernández-Nieto , S. Rubino

This paper introduces an efficient algorithm based on the Parity-Consistent Decomposition (PCD) method to determine the WD of pre-transformed polar codes. First, to address the bit dependencies introduced by the pre-transformation matrix,…

Information Theory · Computer Science 2026-01-13 Yang Liu , Bolin Wu , Yuxin Han , Kai Niu
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