380 research outputs found

    Modal expansion for plasmonic resonators in the time domain

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    We study the electromagnetic field scattered by a metallic nanoparticle with dispersive material parameters placed in a homogeneous medium in a low frequency regime. We use asymptotic analysis and spectral theory to diagonalise a singular integral operator, which allows us to write the field inside and outside the particle in the form of a complete and orthogonal modal expansion. We find the eigenvalues of the volume operator to be associated, via a non-linear relation, to the resonant frequencies of the problem. We prove that all resonances lie in a bounded region near the origin. Finally we use complex analysis to compute the Fourier transform of the scattered field and obtain its modal expansion in the time domain

    Imaging criteria for assessing tumour response: RECIST, mRECIST, Cheson

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    AbstractMost methods define a limited number of “target” lesions to be measured and other “non-target” lesions to be evaluated qualitatively. RECIST criteria are the most widely used although other criteria have been proposed that are derived from them based on size alone, or size and attenuation. Modified RECIST (mRECIST) criteria only concern hepatocellular carcinoma and only take into account the viable portion (enhanced after injection during the arterial phase). Cheson criteria are more complex as target lesions are defined differently depending on the organ (lymph nodes, liver or spleen, other organs), and involve both CT and PET scans, as well as the clinical examination and bone marrow biopsy

    Impact of Uncertain Channel Estimation and Outdated Feedback on the Adaptive M-PSK Modulation

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    This paper investigates an adaptive M-ary phaseshiftkeying (M-PSK) modulation scheme over Rayleigh flatfading channels. The data rate is adapted according to thechannel state. At the receiver, the fading is estimated using pilot symbols. To cancel the channel impact, we correct the received signal by dividing it by the estimated value of the fading. So, we propose to adjust the modulation level by examining the statistics of the corrected signal. In contrast to the previous works on the adaptive M-PSK modulation techniques, our modulation switching protocol takes into account the channel estimation error variance. Moreover, we derive a new closed-form expression for the average bit error rate of the considered system

    Mathematical modelling of plasmonic strain sensors

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    We provide a mathematical analysis for a metasurface constructed of plasmonic nanoparticles mounted periodically on the surface of a microcapsule. We derive an effective transmission condition, which exhibits resonances depending on the inter-particle distance. When the microcapsule is deformed, the resonances are shifted. We fully characterise the dependence of these resonances on the deformation of the microcapsule, enabling the detection of strains at the microscale level. We present numerical simulations to validate our results.Comment: 11 pages, 3 figure

    Inverse Diffusion Theory of Photoacoustics

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    This paper analyzes the reconstruction of diffusion and absorption parameters in an elliptic equation from knowledge of internal data. In the application of photo-acoustics, the internal data are the amount of thermal energy deposited by high frequency radiation propagating inside a domain of interest. These data are obtained by solving an inverse wave equation, which is well-studied in the literature. We show that knowledge of two internal data based on well-chosen boundary conditions uniquely determines two constitutive parameters in diffusion and Schroedinger equations. Stability of the reconstruction is guaranteed under additional geometric constraints of strict convexity. No geometric constraints are necessary when 2n2n internal data for well-chosen boundary conditions are available, where nn is spatial dimension. The set of well-chosen boundary conditions is characterized in terms of appropriate complex geometrical optics (CGO) solutions.Comment: 24 page

    Poly[[chlorido-(1,10-phenanthroline-κ2N,N′)copper(II)]-μ3-1,1,3,3-tetra-cyano-2-eth-oxy-propenido- κ3N:N′:N′′] : coordination polymer sheets linked into bilayers by hydrogen bonds

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    The authors acknowledge the Algerian DG–RSDT (Direction Generale de la Recherche Scientifique et du Developpement Technologique) and the Algerian ATRST (Agence Thematique de Recherche en Sciences et Technologie; PNR project) for financial support. ZS thanks Sandra Lebaroud for her help in preparing the manuscript and the Unit of Support for Technical and Scientific Research (UATRS, CNRST) for the X-ray measurements.In the title compound, [Cu(C9H5N4O)Cl(C12H8N2)] n or [Cu(tcnoet)Cl(phen)] n , where phen is 1,10-phenanthroline and tcnoet is 1,1,3,3-tetra-cyano-2-eth- oxy-propenide, the axially elongated (4 + 2) coordination polyhedron around the CuII centre contains N atoms from three different tcnoet ligands. The resulting coordination polymer takes the form of sheets which are linked in pairs by a single C - H⋯N hydrogen bond to form bilayers. The bond lengths provide evidence for significant bond fixation in the phen ligand and extensive electronic delocalization in the tcnoet ligand, where the two -C(CN)2 units are rotated, in conrotatory fashion, out of the plane of the central C3O fragment.Publisher PDFPeer reviewe
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