Debye approximation for non paraxial systems
Using paraxial approximation to describe the optical setup of a typical EARLINET lidar system
... lidar systems, since it becomes difficult to ob- tain useful and accurate information regarding the aerosol present below that height ...even non-physical negative val- ues for heights up to the ...
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Non-planarity and metric Diophantine approximation for systems of linear forms
... Furthermore, each VWMA pair (Y ; z) is r-VWA for some r ∈ Q m+n . We remark that the equivalence given by Lemma 6.3 is specific to the notion of ex- tremality and cannot be obtained in relation to the more ‘fine tuned’ ...
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Non-paraxial Split-step Finite-difference Method for Beam Propagation
... is non-iterative in nature and requires less ...the paraxial approximation for beam propagation is not valid and its use may lead to large error in ...Thus, non-paraxial solutions are ...
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Debye formulas for a relaxing system with memory
... a non-trivial problem which can only be achieved via the Fokker-Planck equation and is beyond the scope of the current ...the non-Markovian system for both distinct ...of systems with corre- lated ...
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Lebesgue piecewise affine approximation of nonlinear systems
... affine approximation, for obtaining a PWA system model which approximates a given non- linear ...PWA approximation systems can be expressed in ...
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Approximation results for parameter estimation in non-linear elastomers
... This class of systems was introduced in [BGS, BLMY] and further studied in [BLGMY] as a model for the behavior of nonlinear elastomers . These materials, which are used in the development of active and passive ...
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Fast Approximation Algorithms for Task-Based Runtime Systems
... For this reason, we propose to enhance H ETERO P RIO with a spoliation mechanism, defined in the following way. When a fast resource becomes idle and no ready task is available, if it is possible to restart a task ...
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Approximation algorithm for scheduling a chain of tasks on heterogeneous systems
... to distribute the tasks application effectively. More than a simple load balanc- ing problem, heterogeneity leads to consider efficient scheduling techniques to take account of the different resources specificities. The ...
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Approximation and Normalization Results for Typeable Term Rewriting Systems
... non-Curryfied terms (i.e. terms without Curryfied functions and ) typeable with type from a basis , such that does not occur in and , are normalizable, and terms typeable with type have a head-normal form. Each of ...
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Development of the Electrochemical Impedance Response of Ideally Polarized Interfaces Based on Transport Phenomena Laws Through the Nernst-Planck-Poisson Equation Linearized by the Debye-Falkenhagen Approximation.
... When a nearly ideal capacitance is experimentally observed, such as in the cases of mercury drop electrode or presumably single-crystalline electrodes immersed in high-concentrated solutions, a non-linear fitting ...
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Light Scattering by a Prism and Pyramid in the Rayleigh-Gans-Debye Approximation
... Thus, we were discussed the general approach to obtain- ing of the form factor for a compound particle in the RGD approximation. The addition and rotational-translational properties of light scattering amplitude ...
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Gaussian Beam Modeling of SAR Enhancement in Paraxial and Non-Paraxial Regions of Biological Tissues
... Department of Engineering University of San Diego 5998 Alcala Park, San Diego, CA 92110, USA Abstract—A polarized 3D-electromagnetic wave propagating from an aperture source into a lossy medium can be modeled by an ...
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Anharmonic Correlated Debye Model Debye-Waller Factors of Metallic Copper Compared to Experiment and to Other Theories
... Abstract: Debye-Waller factors (DWFs) of metallic Cu (fcc crystal) in X-ray absorption fine structure (XAFS) presented in terms of cumulant expansion have been studied based on the anharmonic correlated ...
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Multigrid Solution of the Debye-Hückel Equation
... The smoothers perform well initially, but convergence slows down after the first two or three sweeps. This corresponds to a smoothing of the low-frequency errors, but the purpose of multigrid is not to eliminate the ...
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How Good Is the Debye Model for Nanocrystals?
... 4. Conclusions In this article, we have explored the validity of the Debye model at the nanoscale. For this, we have considered a very straightforward nanocrystal model: a simple cubic structure whose atoms are ...
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Debye–Hückel theory for refugees’ migration
... Conclusively, the Debye–Hückel theory proved to have correspondences with the so- ciology of human migration under duress. In analogy with other models borrowed from physics, the“microscopic details” of the system ...
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Uniform approximation from Tchebycheff systems
... If we require an analogue to the above theorem in some generalisation of polynomial approximation then clearly we will need to preserve these essential properties[r] ...
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Approximation Operator Based on Neighborhood Systems
... b School of Mathematics and Information Science, Yulin Normal University, Yulin 537000, China c Yulin Normal University, Yulin 537000, China Abstract In this paper, we propose a new covering-based set in which the lower ...
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Approximation operator based on neighborhood systems
... b School of Mathematics and Information Science, Yulin Normal University, Yulin 537000, China c Yulin Normal University, Yulin 537000, China Abstract In this paper, we propose a new covering-based set in which the lower ...
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Anharmonic correlated Debye model high-order expanded Debye-Waller factors of bcc crystals. Application to metallic Wolfram
... The purpose of this work is to derive an anharmonic correlated Debye model (ACDM) for studying the high-order expanded DWFs for the local vibrational amplitudes in XAFS of bcc crystals. Our contributions to this ...
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