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Due to the highly inhomogeneous distributions of refractive indexes, light propagation in complex media such as biological tissue experiences multiple light scattering events. The suppression and control of multiple light scattering events…

By using scattering in near field techniques, a microscope can be easily turned into a device measuring static and dynamic light scattering, very useful for the characterization of nanoparticle dispersions. Up to now, microscopy based…

Optics · Physics 2015-05-13 D. Brogioli , D. Salerno , V. Cassina , F. Mantegazza

The optical medium analogy of a radiation field generated by either an exact gravitational plane wave or an exact electromagnetic wave in the framework of general relativity is developed. The equivalent medium of the associated background…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Pierluigi Fortini , Andrea Geralico , Maria Haney , Antonello Ortolan

Ultrasound Tomography has seen a revival of interest in the past decade, especially for breast imaging, due to improvements in both ultrasound and computing hardware. In particular, three-dimensional ultrasound tomography, a fully…

Computational Physics · Physics 2020-05-27 Ashkan Javaherian , Felix Lucka , Ben Cox

While scattered light conveys most of the information we perceive, scattering may also distort that information before it reaches our detectors. The problem is acute in many applications, such as in high-resolution microscopy of biological…

We introduce a novel reflection-mode diffraction tomography technique that enables simultaneous recovery of forward and backward scattering information for high-resolution 3D refractive index reconstruction. Our technique works by imaging a…

Optics · Physics 2025-02-12 Tongyu Li , Jiabei Zhu , Yi Shen , Lei Tian

We consider an inverse spectral theory in a domain with the cavity that is bounded by a penetrable inhomogeneous medium. An ODE system is constructed piecewise through the solutions inside and outside the cavity. The ODE system is connected…

Analysis of PDEs · Mathematics 2016-05-18 Lung-Hui Chen

We revisit the problem of model-based object recognition for intensity images and attempt to address some of the shortcomings of existing Bayesian methods, such as unsuitable priors and the treatment of residuals with a non-robust error…

Computer Vision and Pattern Recognition · Computer Science 2010-12-14 Vasileios Zografos , Bernard Buxton

Image reconstruction under multiple light scattering is crucial in a number of applications such as diffraction tomography. The reconstruction problem is often formulated as a nonconvex optimization, where a nonlinear measurement model is…

Computer Vision and Pattern Recognition · Computer Science 2018-07-04 Yu Sun , Zhihao Xia , Ulugbek S. Kamilov

The transport of intensity equation (TIE) has revolutionized phase retrieval in optical microscopy, yet its application to complex media with absorption/scattering remains challenging. Here, we present a coupled TIE-TPE (transport of phase…

Diffusion is the result of repeated random scattering. It governs a wide range of phenomena from Brownian motion, to heat flow through window panes, neutron flux in fuel rods, dispersion of light in human tissue, and electronic conduction.…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Zhou Shi , Azriel Z. Genack

We provide a simple sufficient condition for convergence of Born series in the forward problem of optical diffusion tomography. The condition does not depend on the shape or spatial extent of the inhomogeneity but only on its amplitude.

Mathematical Physics · Physics 2008-01-31 Vadim A. Markel , John C. Schotland

The development of robust, real-time optical methods for the detection and tracking of particles in complex multiple scattering media is a problem of practical importance in a number of fields, including environmental monitoring, air…

Optics · Physics 2025-02-04 Mohammadrasoul Taghavi , Edwin A. Marengo

Optical coherence tomography (OCT) and photoacoustic tomography (PAT) are emerging non-invasive biological and medical imaging techniques. It is a recent trend in experimental science to design experiments that perform PAT and OCT imaging…

Analysis of PDEs · Mathematics 2016-04-19 Peter Elbau , Leonidas Mindrinos , Otmar Scherzer

The difficulty of description of the radiative transfer in disordered photonic crystals arises from the necessity to consider on the equal footing the wave scattering by periodic modulations of the dielectric function and by its random…

Disordered Systems and Neural Networks · Physics 2009-10-16 M. V. Erementchouk , L. I. Deych , H. Noh , H. Cao , A. A. Lisyansky

In fluorescence diffuse optical tomography (fDOT), the reconstruction of the fluorophore concentration inside the target body is usually carried out using a normalized Born approximation model where the measured fluorescent emission data is…

Computational Physics · Physics 2015-01-05 Meghdoot Mozumder , Tanja Tarvainen , Simon Arridge , Jari P. Kaipio , Cosimo d'Andrea , Ville Kolehmainen

Optical diffraction tomography (ODT) is a tomographic technique that can be used to measure the three-dimensional (3D) refractive index distribution within living cells without the requirement of any marker. In principle, ODT can be…

Quantitative Methods · Quantitative Biology 2018-01-03 Paul Müller , Mirjam Schürmann , Chii J. Chan , Jochen Guck

Holographic optical coherence tomography (OCT) is a powerful imaging technique, but its ability to reveal low-reflectivity features is limited. In this study, we performed holographic OCT by incoherently averaging volumes with changing…

Nowadays, modern electron microscopes deliver images at atomic scale. The precise atomic structure encodes information about material properties. Thus, an important ingredient in the image analysis is to locate the centers of the atoms…

Computer Vision and Pattern Recognition · Computer Science 2017-09-13 Benjamin Berkels , Benedikt Wirth

Ultrasound modulated optical tomography, also called acousto-optics tomography, is a hybrid imaging modality that aims to combine the high contrast of optical waves with the high resolution of ultrasound. We follow the model of the…

Analysis of PDEs · Mathematics 2015-06-15 Guillaume Bal , Shari Moskow