相干庞卡尔卡尔球的奇异值表示

IF 1.9 4区物理与天体物理 Q3 OPTICS

Journal of the European Optical Society-Rapid Publications Pub Date : 2022-11-08 DOI:10.1051/jeos/2022012

Jyrki Laatikainen, A. Friberg, O. Korotkova, T. Setälä

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引用次数: 0

摘要

最近引入了所谓的相干庞加莱球，用于随机电磁束两点空间相干状态的几何可视化。形式主义及其解释强烈地利用了交叉谱密度（CSD）矩阵的Gram矩阵的特定分解。在这项工作中，我们证明了相干Poincare球面的解释是通过CSD矩阵的奇异值分解直接获得的。

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Singular value representation of the coherence Poincaré sphere

The so-called coherence Poincare sphere was recently introduced for geometrical visualization of the state of two-point spatial coherence of a random electromagnetic beam. The formalism and its interpretation strongly utilized a specific decomposition of the Gram matrix of the cross-spectral density (CSD) matrix. In this work, we show that the interpretation of the coherence Poincare sphere is obtained exclusively and straightforwardly via the singular value decomposition of the CSD matrix.

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来源期刊

Journal of the European Optical Society-Rapid Publications 物理-光学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

5 weeks

期刊介绍： Rapid progress in optics and photonics has broadened its application enormously into many branches, including information and communication technology, security, sensing, bio- and medical sciences, healthcare and chemistry. Recent achievements in other sciences have allowed continual discovery of new natural mysteries and formulation of challenging goals for optics that require further development of modern concepts and running fundamental research. The Journal of the European Optical Society – Rapid Publications (JEOS:RP) aims to tackle all of the aforementioned points in the form of prompt, scientific, high-quality communications that report on the latest findings. It presents emerging technologies and outlining strategic goals in optics and photonics. The journal covers both fundamental and applied topics, including but not limited to: Classical and quantum optics Light/matter interaction Optical communication Micro- and nanooptics Nonlinear optical phenomena Optical materials Optical metrology Optical spectroscopy Colour research Nano and metamaterials Modern photonics technology Optical engineering, design and instrumentation Optical applications in bio-physics and medicine Interdisciplinary fields using photonics, such as in energy, climate change and cultural heritage The journal aims to provide readers with recent and important achievements in optics/photonics and, as its name suggests, it strives for the shortest possible publication time.