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Diverse applications in photonics and microwave engineering require a means of measurement of the instantaneous frequency of a signal. A photonic implementation typically applies an interferometer equipped with three or more output ports to…

A linear transformation f(S) of configurational entropy with length scale dependent coefficients as a measure of spatial inhomogeneity is considered. When a final pattern is formed with periodically repeated initial arrangement of point…

Statistical Mechanics · Physics 2009-10-31 Z. Garncarek , R. Piasecki

There are two main approaches in compressed sensing: the geometric approach and the combinatorial approach. In this paper we introduce an information theoretic approach and use results from the theory of Huffman codes to construct a…

Information Theory · Computer Science 2009-06-26 Akram Aldroubi , Haichao Wang , Kourosh Zarringhalam

With the development of terahertz time-domain spectroscopy, methods have been proposed to precisely estimate the thickness, refractive index, and attenuation coefficient of a sample. In this article, we propose a new method to compute these…

Residual wavefront errors in optical elements limit the performance of coronagraphs. To improve their efficiency, different types of devices have been proposed to correct or calibrate these errors. In this paper, we study one of these…

Astrophysics · Physics 2009-03-19 R. Galicher , P. Baudoz

Shack Hartmann wavefront sensor is a two dimensional array of lenslets which is used to detect the incoming phase distorted wavefront through local tilt measurements made by recording the spot pattern near the focal plane. Wavefront…

Instrumentation and Methods for Astrophysics · Physics 2011-08-16 Akondi Vyas , M B Roopashree , B Raghavendra Prasad

Effective resistance is an important metric that measures the similarity of two vertices in a graph. It has found applications in graph clustering, recommendation systems and network reliability, among others. In spite of the importance of…

Data Structures and Algorithms · Computer Science 2021-06-08 Pan Peng , Daniel Lopatta , Yuichi Yoshida , Gramoz Goranci

A simple self-referenced non destructive method is proposed for measuring the cutoff wavelength of microstructured optical fibers (MOFs). It is based on the analysis of the time dependent optical power transmitted through a bow-tie slit…

Phase steps are an important type of wavefront aberrations generated by large telescopes with segmented mirrors. In a closed-loop correction cycle these phase steps have to be measured with the highest possible precision using natural…

Optics · Physics 2009-11-11 L. Noethe , H. M. Adorf

The weak measurement wavefront sensor detects the phase gradient of light like the Shack-Hartmann sensor does. However, the use of one thin birefringent crystal to displace light beams results in a wavelength-dependent phase difference…

Optics · Physics 2022-05-27 Yi Zheng , Mu Yang , Zheng-Hao Liu , Jin-Shi Xu , Chuan-Feng Li , Guang-Can Guo

An analytical expression for the self coherence function of a microcavity and partially coherent source is derived from first principles in terms of the component self coherence functions. Excellent agreement between the model and…

Optics · Physics 2009-11-10 R. F. Oulton , P. N. Stavrinou , G. Parry

A novel hierarchical search technique is presented for all-sky surveys for continuous gravitational-wave sources, such as rapidly spinning nonaxisymmetric neutron stars. Analyzing yearlong detector data sets over realistic ranges of…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Holger J. Pletsch

This dissertation relates to the transition of the state of the art of swept source optical coherence tomography (SS-OCT) systems to a new realm in which the image acquisition speed is improved by an order of magnitude. With the aid of a…

Image and Video Processing · Electrical Eng. & Systems 2020-02-21 Amir Tofighi Zavareh

We present spatial coherence measurements of partially coherent light in the far-field of incoherent sources with an experimental setup based on the Thompson-Wolf and Partanen-Turunen-Tervo experiments, to be performed in the context of a…

Instrumentation and Detectors · Physics 2021-05-05 Tiago E. C. Magalhães , José M. Rebordão , Alexandre Cabral

We show that an intensity speckle can be directly interpreted as the properties of incident light - amplitude, phase, polarization, and coherency over spatial positions. Revisiting the speckle-correlation scattering matrix (SSM) method [Lee…

Optics · Physics 2019-08-07 KyeoReh Lee , YongKeun Park

The effective second-harmonic generation (SHG) coefficient is a crucial data that quantifies the efficiency of transforming fundamental frequency light into its second harmonic. With the help of the symmetry of nonlinear optical…

Optimization and Control · Mathematics 2026-02-24 Die Xiao , Yisheng Song

Single-photon sources (SPSs) are mainly characterized by the minimum value of their second-order coherence function, viz. their $g^{(2)}$ function. A precise measurement of $g^{(2)}$ may, however, require high time-resolution devices, in…

Quantum Physics · Physics 2009-09-12 E. Bocquillon , C. Couteau , M. Razavi , R. Laflamme , G. Weihs

Local measurements of the Hubble constant ($H_0$) based on Cepheids e Type Ia supernova differ by $\approx 5 \sigma$ from the estimated value of $H_0$ from Planck CMB observations under $\Lambda$CDM assumptions. In order to better…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-07 Carlos Bengaly , Maria Aldinez Dantas , Luciano Casarini , Jailson Alcaniz

Spatial coherence of light sources is usually obtained by using the classical Youngs interferometer. Despite the original experiment has been improved in successive works, some drawbacks still remain. In addition, several pairs of points…

Optics · Physics 2024-01-17 FJ Torcal-Milla , J Lobera , EM Roche , AM Lopez , V Palero , N Andres , P Arroyo

The exact joint multifractal distribution for the scaling and winding of the electrostatic potential lines near any conformally invariant scaling curve is derived in two dimensions. Its spectrum f(alpha,lambda) gives the Hausdorff dimension…

Statistical Mechanics · Physics 2009-11-07 Bertrand Duplantier , Ilia A. Binder
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