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Based on the interaction between different spatial modes, semiconductor Bragg-reflection waveguides provide a highly functional platform for non-linear optics. Therefore, the control and engineering of the properties of each spatial mode is…

量子物理 · 物理学 2016-05-03 B. Pressl , T. Günthner , K. Laiho , J. Geßler , M. Kamp , S. Höfling , C. Schneider , G. Weihs

Within the expansive domain of optical sciences, achieving the precise characterization of light beams stands as a fundamental pursuit, pivotal for various applications, including telecommunications and imaging technologies. This study…

光学 · 物理学 2024-10-04 Alejandro R. Urzúa , Irán Ramos-Prieto , Héctor M. Moya-Cessa

Phase retrieval refers to recovering a signal from its Fourier magnitude. This problem arises naturally in many scientific applications, such as ultra-short laser pulse characterization and diffraction imaging. Unfortunately, phase…

信息论 · 计算机科学 2018-04-05 Tamir Bendory , Dan Edidin , Yonina C. Eldar

The characterisation of loss in optical waveguides is essential in understanding the performance of these devices and their limitations. Whilst interferometric-based methods generally provide the best results for low-loss waveguides, they…

X-ray Bragg coherent diffraction imaging has been demonstrated as a powerful three-dimensional (3D) microscopy approach for the investigation of sub-micrometer-scale crystalline particles. It is based on the measurement of a series of…

It is shown here that precision is gained by analyzing the interferometric spectra directly from the interferograms, with no previous Fourier transformation to put them in the standard frequency domain. The method is based on the…

仪器与探测器 · 物理学 2018-04-20 Miguel Lagos , Rodrigo Paredes , Cesar Retamal

Dispersive Fourier transformation is a powerful technique in which the spectrum of an optical pulse is mapped into a time-domain waveform using chromatic dispersion. It replaces a diffraction grating and detector array with a dispersive…

光学 · 物理学 2009-11-13 Keisuke Goda , Kevin K. Tsia , Bahram Jalali

The nonlinear Fourier transform (NFT), a powerful tool in soliton theory and exactly solvable models, is a method for solving integrable partial differential equations governing wave propagation in certain nonlinear media. The NFT…

信息论 · 计算机科学 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang

Phase retrieval from phaseless short-time Fourier transform (STFT) measurements is known to be inherently unstable when measurements are taken with respect to a single window. While an explicit inversion formula exists, it is useless in…

泛函分析 · 数学 2025-06-19 Rima Alaifari , Yunan Yang

In this letter, we report on an analytical technique for optical investigations of semitransparent samples. By Fourier transforming optical spectra with Fabry-Perot resonances we extract information about sample thickness and its discrete…

In this paper, we provide a Graph Fourier Transform based approach to downsample signals on graphs. For bandlimited signals on a graph, a test is provided to identify whether signal reconstruction is possible from the given downsampled…

其他统计学 · 统计学 2016-12-23 Nileshkumar Vaishnav , Aditya Tatu

Spectral analysis in conjunction with discrete data in one and more dimensions can become a challenging task, because the methods are sometimes difficult to understand. This paper intends to provide an overview about the usage of the…

统计方法学 · 统计学 2017-08-01 Martin Seilmayer , Matthias Ratajczak

A novel approach to study transmission through waveguides in terms of optical streamlines is presented. This theoretical framework combines the computational performance of beam propagation methods with the possibility to monitor the…

光学 · 物理学 2012-04-12 A. S. Sanz , J. Campos-Martinez , S. Miret-Artes

The refraction of light in an optical medium is not only a subject of fundamental interest, but the refractive index also plays a crucial role in applications involving integrated and non-linear optics. One such application is photon-pair…

光学 · 物理学 2025-08-22 Stefan Kazmaier , Kaisa Laiho

An extension may be proposed to the intensity interferometer of Hanbury Brown and Twiss to provide the Fourier phase measurement by the use of third-order intensity correlations. It is well known that interferometric reconstruction of…

天体物理学 · 物理学 2008-06-14 B. E. Zhilyaev

Predicting the effects of physical perturbations on optical channels is critical for advanced photonic devices, but existing modelling techniques are often computationally intensive or require exhaustive characterisation. We present a novel…

光学 · 物理学 2025-09-03 Joshua R. Jandrell , Mitchell A. Cox

The nonlinear Fourier transform (NFT) decomposes waveforms propagating through optical fiber into nonlinear degrees of freedom, which are preserved during transmission. By encoding information on the nonlinear spectrum, a transmission…

信号处理 · 电气工程与系统科学 2020-12-24 Jan-Willem Goossens , Hartmut Hafermann , Yves Jaouën

In coherent diffraction imaging (CDI) experiments, the intensity of the scattered wave impinging on an object is measured on an array of detectors. This signal can be interpreted as the square of the modulus of the Fourier transform of the…

Nonlinear interferometers allow spectroscopy in the mid-infrared range by detecting correlated visible light, for which non-cooled detectors with higher specific detectivity and lower dark count rates are available. We present a new…

光学 · 物理学 2020-03-19 Chiara Lindner , Sebastian Wolf , Jens Kießling , Frank Kühnemann

Based on diffraction theory and the propagation of the light, Fourier optics is a powerful tool allowing the estimation of a visible-range imaging system to transfer the spatial frequency components of an object. The analyses of the imaging…

综合物理 · 物理学 2018-06-05 Stephane Perrin , Paul Montgomery
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