Luneberg积分的评价及其在数字全息术中的应用

IF 1.9 4区物理与天体物理 Q3 OPTICS Journal of the European Optical Society-Rapid Publications Pub Date : 2021-06-30 DOI:10.1186/s41476-021-00154-x

S. Coëtmellec, D. Lebrun, M. Brunel, A. J. E. M. Janssen

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引用次数: 1

摘要

在这篇文章中，我们重新审视了吕内贝格积分，并回顾了使用吕内贝格积分的条件。讨论了Luneberg积分的可加性规律及其与传播的Frenel核的联系。通过吕尼贝格积分的定义，推导了矢量电磁场(赫兹势)的传播，提出了一种基于泽尼克多项式的计算方法。利用这种新方法，以不透明磁盘的数字直线全息为例，说明了全息图的模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Assessment about Luneberg integrals and application to digital in-line holography

In this publication, the Luneberg integrals are revisited and the conditions of the using of such integrals have been recalled. Additivity law of Luneberg’s integrals and the link with the Frenel kernel for the propagation are discussed. By means of the definition of the Luneberg’s integrals, the propagation of a vectorial electromagnetic field (Hertz potentials) is developed and a new approach of the computation have been proposed based on Zernike polynomials. With this new approach simulations of holograms is illustrated in the case of the digital in-line holography with an opaque disk.

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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.