Sentence examples for beam approximation from inspiring English sources

The well-known narrow beam approximation is utilized to compute backscattering [12].

It is shown that the standard curved beam approximation exhibits excellent agreement with the exact results.

For helical springs, the numerical model is validated with an analytical solution corresponding to a Timoshenko beam approximation.

The V-shaped structure is selected for its better lateral stiffness, and the specific dimensions are determined using the parallel beam approximation (PBA).

The effect of the rigid body on the system vibrations is estimated, and the accuracy of the beam approximation to shell bending vibrations is studied.

Assuming the Gaussian beam approximation to be valid, Eq. (2) can be rewritten as: N.A.sim ncdot lambda /left(pi cdot {omega}_0right) (3)with λ being the wavelength of the laser.

The comparison includes beam approximations with both transfer matrix and finite element approaches, and available experimental data.

For small values of h, (h < 1), as in Figs. 2a and 2d, we can integrate E Pupil(x p, y p,0) to infinity because it approaches zero before reaching the edge of the aperture and a Gaussian-beam approximation is valid.

Hence, the paraxial ray approximation theory does not seem to be authentic in the case of super-Gaussian laser beams.

A layer-wise Timoshenko beam displacement approximation is assumed.

Otherwise, this algorithm uses the same method to select iterations as in section 'Real beam smooth approximation algorithm'.