566 research outputs found

    Polychromatic T-Matrix: Group-Theoretical Derivation and Applications

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    Safety management system of machine-building production

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    The article is devoted to the problem of fulfilling the Customs Union technical regulations requirements. The authors have proposed a model of the safety management system of machinebuilding production. The authors offered hierarchical model of documentary information. Programs of safety was developed on various stages of product lifecycle. The rating scale of risk level was offered. The important task was solved of improvement of quality of machine-building products based on providing the requirements to its safety containing in technical regulations

    A scalar product for computing fundamental quantities in matter and its application to the helicity and angular momentum stored in a Hopfion

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    We introduce a systematic way to obtain expressions for computing the amount of fundamental quantities such as angular momentum contained in static matter, given its charge and magnetization densities. The expressions are obtained from a scalar product whose form results from imposing invariance under the scale-Euclidian group of transformations. Such group is obtained by restricting the conformal group of invariance of the dynamic Maxwell fields to the static case. In an exemplary application, we compute the helicity and angular momentum squared stored in a Hopfion, and show that the Hopfion is an eigenstate of angular momentum along one axis with eigenvalue zero

    The Polychromatic T-matrix

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    The T-matrix is a powerful tool that provides the complete description of the linear interaction between the electromagnetic field and a given object. In here, we generalize the usual monochromatic formalism to the case of polychromatic field-matter interaction. The group of transformations of special relativity provides the guidance for building the new formalism, which is inherently polychromatic. The polychromatic T-matrix affords the direct treatment of the interaction of electromagnetic pulses with objects, even when the objects move at constant relativistic speeds

    The polychromatic T-matrix

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    The T-matrix is a powerful tool that provides the complete description of the linear interaction between the electromagnetic field and a given object. In here, we generalize the usual monochromatic formalism to the case of polychromatic field-matter interaction. The group of transformations of special relativity provides the guidance for building the new formalism, which is inherently polychromatic. The polychromatic T-matrix affords the direct treatment of the interaction of electromagnetic pulses with objects, even when the objects move at constant relativistic speeds

    Multidimensional measures of electromagnetic chirality and their conformal invariance

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    Proper assignment of left- and right-handed labels to general chiral objects is known to be a theoretically unfeasible problem. Attempts to utilize a pseudoscalar function to distinguish enantiomers face two unavoidable difficulties: false chiral zeros and unhanded chiral states. In here, we demonstrate how both of these problems can be solved in the context of light-matter interactions. First, we introduce a two-dimensional quantity called complex electromagnetic chirality that solves the problem of false chiral zeros. Next, we define an infinite-dimensional pseudovector called chirality signature that completely quantifies the multidimentional nature of electromagnetic chirality, does not have false global chiral zeros, and allows to continuously distinguish any pair of enantiomers. We prove that the introduced measures are invariant under the largest group of symmetries of Maxwellā€™s equations ā€“ the conformal group. The complete and conformally invariant quantification of electromagnetic chirality provided by the chirality signature distinguishes it as a particularly suitable tool for the study of chirality and its applications

    Camera Motion Estimation Based on Edge Structure Analysis

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    A scalar product for computing fundamental quantities in matter and its application to the helicity and angular momentum stored in a Hopfion

    Get PDF
    We introduce a systematic way to obtain expressions for computing the amount of fundamental quantities such as angular momentum contained in static matter, given its charge and magnetization densities. The expressions are obtained from a scalar product whose form results from imposing invariance under the scale-Euclidian group of transformations. Such group is obtained by restricting the conformal group of invariance of the dynamic Maxwell fields to the static case. In an exemplary application, we compute the helicity and angular momentum squared stored in a Hopfion, and show that the Hopfion is an eigenstate of angular momentum along one axis with eigenvalue zero

    Model for the Fluorescence Induction Curve of Photoinhibited Thylakoids

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    AbstractThe fluorescence induction curve of photoinhibited thylakoids measured in the presence of 3-(3,4-dichlorophenyl)-1,1-dimethyl urea was modeled using an extension of the model of Lavergne and Trissl (Biophys. J. 68:2474ā€“2492), which takes into account the reversible exciton trapping by photosystem II (PSII) reaction centers and exciton exchange between PSII units. The model of Trissl and Lavergne was modified by assuming that PSII consists of photosynthetically active and photoinhibited (inactive in oxygen evolution) units and that the inactive PSII units can efficiently dissipate energy even if they still retain the capacity for the charge separation reaction. Comparison of theoretical and experimental fluorescence induction curves of thylakoids, which had been subjected to strong light in the presence of the uncoupler nigericin, suggests connectivity between the photoinhibited and active PSII units. The model predicts that photoinhibition lowers the yield of radical pair formation in the remaining active PSII centers. However, the kinetics of PSII inactivation in nigericin-treated thylakoids upon exposure to photoinhibitory light ranging from 185 to 2650Ī¼mol photons māˆ’2 sāˆ’1 was strictly exponential. This may suggest that photoinhibition occurs independently of the primary electron transfer reactions of PSII or that increased production of harmful substances by photoinhibited PSII units compensates for the protection afforded by the quenching of excitation energy in photoinhibited centers
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