1. Articles from Otmar Scherzer

    1-5 of 5
    1. The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography

      The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography

      In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell’s equations. Our reconstruction method is based on the second-order Born-approximation of the electric field

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    2. Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging

      Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging

      In this paper we perform quantitative reconstruction of the electric susceptibility and the Gr¨uneisen parameter of a non-magnetic linear dielectric medium using measurement of a multi-modal photoacoustic and optical coherence tomography system. We consider the mathematical model presented in [11], where a Fredholm integral equation of the first kind for the Gr¨uneisen parameter was derived. For the numerical solution of the integral equation we consider a Galerkin type method.

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    3. Inverse Problems of Combined Photoacoustic and Optical Coherence Tomography

      Inverse Problems of Combined Photoacoustic and Optical Coherence Tomography

      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 at once. In this paper we present a mathematical model describing the dual experiment. Since OCT is mathematically modelled by Maxwell's equations or some simplifications of it, whereas the light propagation in quantitative photoacoustics is modelled by (simplifications of) the radiative transfer equation, the first step in the derivation of a mathematical model of the dual experiment is to obtain a unified mathematical description, which in ...

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    4. Mathematical Methods of Optical Coherence Tomography (Book Chapter)

      Mathematical Methods of Optical Coherence Tomography (Book Chapter)

      In this chapter a general mathematical model of Optical Coherence Tomography (OCT) is presented on the basis of the electromagnetic theory. OCT produces high-resolution images of the inner structure of biological tissues. Images are obtained by measuring the time delay and the intensity of the backscattered light from the sample considering also the coherence properties of light. The scattering problem is considered for a weakly scattering medium located far enough from the detector. The inverse problem is to reconstruct the susceptibility of the medium given the measurements for different positions of the mirror. Different approaches are addressed depending on the ...

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    5. Mathematical Modelling of Optical Coherence Tomography

      Mathematical Modelling of Optical Coherence Tomography

      In this chapter a general mathematical model of Optical Coherence Tomography (OCT) is presented on the basis of the electromagnetic theory. OCT produces high resolution images of the inner structure of biological tissues. Images are obtained by measuring the time delay and the intensity of the backscattered light from the sample considering also the coherence properties of light. The scattering problem is considered for a weakly scattering medium located far enough from the detector. The inverse problem is to reconstruct the susceptibility of the medium given the measurements for di erent positions of the mirror. Di erent approaches are addressed ...

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    1-5 of 5
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  2. Topics in the News

    1. (4 articles) University of Vienna
    2. (1 articles) Institute of Applied Physics
    3. (1 articles) Grigory V. Gelikonov
    4. (1 articles) Gereon Hüttmann
    5. (1 articles) Hendrik Spahr
    6. (1 articles) Xincheng Yao
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    Mathematical Modelling of Optical Coherence Tomography Mathematical Methods of Optical Coherence Tomography (Book Chapter) Inverse Problems of Combined Photoacoustic and Optical Coherence Tomography Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography Postdoctoral opening in optical instrumentation and retinal imaging at University of Illinois at Chicago Detection of intracranial hypertension in children using optical coherence tomography: a systematic review protocol Optical coherence tomography versus intravascular ultrasound for culprit lesion assessment in patients with acute myocardial infarction Insulin-like growth factor-1 levels predict myocardial injury and infarction after elective percutaneous coronary intervention: an optical coherence tomography study Short-term healing response after implantation of the thin-strut, fast-releasing sirolimus-eluting biodegradable polymer-coated Alex Plus stent: optical coherence tomography study Connector sensors for permittivity-based thrombus monitoring in extracorporeal life support Optical Coherence Tomography Angiography for Mapping Cerebral Microvasculature Based on Normalized Differentiation Analysis