Sentence examples for localized approximation from inspiring English sources

In fact, the integral localized approximation, as originally developed, is based on a Gaussian description of order L– or L [ 6].

To compare the numerical calculation performance of the BSCs obtained in section 2 by means of the integral localized approximation with double (Eqs. (14), (15)) and triple integration, a Fortran code was developed and is available under request.

The success of the integral localized approximation for describing a BB can be used advantageously in biomedical applications, such as in the determination of the optical forces exerted over biological particles under the influence of such beams.

The similitude of results, together with the lower computational time, reinforce the reliability of our approach and strongly suggest the extension of the integral localized approximation to a wider variety of laser beams, including BB of higher orders.

For the first time in the literature, the beam-shape coefficients for ordinary Bessel beams were numerically evaluated using the integral localized approximation in the context of the generalized Lorenz-Mie theory.

We investigate optical torques over absorbent negative refractive index spherical scatterers under the influence of linear and circularly polarized TEM00 focused Gaussian beams, in the framework of the generalized Lorenz-Mie theory with the integral localized approximation.

Localized approximations and localized beam models have been particularly useful for speeding up numerical computations in the framework of generalized Lorenz Mie theories (GLMTs), i.e. theories dealing with the interaction between electromagnetic arbitrary shaped beams and a regular particle, allowing one to solve the problem by using the method of separation of variables.

When evaluating the localization of Cx43 by immunohistochemistry (Fig.  7a-c), a higher fraction of Cx43 localized in approximation of N-cadherin was found in the FFFR group compared to the control group (78.4 ± 3.28%% (n = 5) vs. 59.6 ± 3.55%% (n = 6), p < 0.01).

Several methods have been designed to evaluate these coefficients but the most efficient one relies on the use of localization operators, leading to localized approximations and to localized beam models, whose history and features are reviewed in this paper.

This is a good approximation in well time-frequency localized prototype filters, such as the ones based on the isotropic orthogonal transform algorithm (IOTA) function [29].

For gusts localized in the span direction, a farfield approximation is derived which is valid inside a Mach cone, and which is of simple enough form to be evaluated analytically for specified gust shapes.