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We propose a combined reconstruction-classification method for simultaneously recovering absorption and scattering in turbid media from images of absorbed optical energy. This method exploits knowledge that optical parameters are determined…

医学物理 · 物理学 2016-01-20 Emma Malone , Samuel Powell , Ben T. Cox , Simon R. Arridge

Iterative projection algorithms are successfully being used as a substitute of lenses to recombine, numerically rather than optically, light scattered by illuminated objects. Images obtained computationally allow aberration-free…

光学 · 物理学 2007-05-23 S. Marchesini

This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of elastic scatterers with known dictionary data for the nearly incompressible materials. The…

偏微分方程分析 · 数学 2017-11-02 Li Jingzhi , Liu Hongyu , Sun Hongpeng

We present a Newton-like method to solve inverse problems and to quantify parameter uncertainties. We apply the method to parameter reconstruction in optical scatterometry, where we take into account a priori information and measurement…

计算物理 · 物理学 2017-07-27 M. Hammerschmidt , M. Weiser , X. Garcia Santiago , L. Zschiedrich , B. Bodermann , S. Burger

We study the $K^{+}d$ scattering at low energies using the optical potential. Our optical potential consists of the first-order and second-order terms. The total, integrated elastic and elastic differential cross sections at incident kaon…

核理论 · 物理学 2010-05-25 Takashi Takaki

A method for automatic computation of parameter derivatives of numerically computed light scattering signals is demonstrated. The finite-element based method is validated in a numerical convergence study, and it is applied to investigate…

光学 · 物理学 2013-04-17 S. Burger , L. Zschiedrich , J. Pomplun , F. Schmidt , B. Bodermann

We add a time-dependent potential to the inhomogeneous wave equation and consider the task of reconstructing this potential from measurements of the wave field. This dynamic inverse problem becomes more involved compared to static…

数值分析 · 数学 2017-08-24 Thies Gerken , Armin Lechleiter

Monte Carlo algorithms have a growing impact on nuclear medicine reconstruction processes. One of the main limitations of myocardial perfusion imaging (MPI) is the effective mitigation of the scattering component, which is particularly…

仪器与探测器 · 物理学 2021-05-28 J. Zhou , A. G. Leja , M. Salvatori , D. Della Latta , A. Di Fulvio

Three-dimensional particle reconstruction with limited two-dimensional projections is an under-determined inverse problem that the exact solution is often difficult to be obtained. In general, approximate solutions can be obtained by…

图像与视频处理 · 电气工程与系统科学 2021-09-14 Qi Gao , Shaowu Pan , Hongping Wang , Runjie Wei , Jinjun Wang

An iterative algorithm for reconstructing the photon distribution from the random phase homodyne statistics is discussed. This method, derived from the maximum-likelihood approach, yields a positive definite estimate for the photon…

量子物理 · 物理学 2007-05-23 Konrad Banaszek

Quantitative tissue information, like the light scattering properties, is considered as a key player in the detection of cancerous cells in medical diagnosis. A promising method to obtain these data is optical coherence tomography (OCT). In…

数值分析 · 数学 2023-06-21 Leopold Veselka , Peter Elbau , Leonidas Mindrinos , Lisa Krainz , Wolfgang Drexler

An algorithm for determining crystal structures from diffraction data is described which does not rely on the usual Fourier-space formulations of atomicity. The new algorithm implements atomicity constraints in real-space, as well as…

凝聚态物理 · 物理学 2007-05-23 Veit Elser

We propose a method to reconstruct the optical properties of a scattering medium with subwavelength resolution. The method is based on the solution to the inverse scattering problem with photoactivated internal sources. Numerical…

光学 · 物理学 2018-08-01 Anna C. Gilbert , Howard W. Levinson , John C. Schotland

We develop a dynamical formulation of one-dimensional scattering theory where the reflection and transmission amplitudes for a general, possibly complex and energy-dependent, scattering potential are given as solutions of a set of dynamical…

量子物理 · 物理学 2015-06-17 Ali Mostafazadeh

The development of efficient and accurate image reconstruction algorithms is one of the cornerstones of computed tomography. Existing algorithms for quantitative photoacoustic tomography currently operate in a two-stage procedure: First an…

偏微分方程分析 · 数学 2015-05-20 Markus Haltmeier , Lukas Neumann , Simon Rabanser

The information content and properties of the cross section for atom scattering from a defect on a flat surface are investigated. Using the Sudden approximation, a simple expression is obtained that relates the cross section to the…

chem-ph · 物理学 2009-10-28 D. A. Hamburger , R. B. Gerber

Quantitative phase imaging has become a topic of considerable interest in the microscopy community. We have recently described one such technique based on the use of a partitioned detection aperture, which can be operated in a single shot…

光学 · 物理学 2015-10-20 Roman Barankov , Jean-Charles Baritaux , Jerome Mertz

The decay of $\alpha$ particle from a nucleus is viewed as a quantum resonance state of a two-body scattering process of the $\alpha$+daughter nucleus pair governed by a novel nucleus-nucleus potential in squared Woods-Saxon form. By the…

核理论 · 物理学 2017-10-11 Basudeb Sahu , Swagatika Bhoi

An approach is introduced for the non-parametric reconstruction of the statistical properties of penetrable, isotropic randomly rough surfaces from in-plane, co-polarized light scattering data. Starting from expressions within the Kirchhoff…

光学 · 物理学 2021-10-13 Verónica P. Simonsen , Dick Bedeaux , Ingve Simonsen

The scattering matrix, which quantifies the optical reflection and transmission of a photonic structure, is pivotal for understanding the performance of the structure. In many photonic design tasks, it is also desired to know how the…

光学 · 物理学 2020-12-30 Ziwei Zhu , Changxi Zheng