China
Africa
Explore chapters and articles related to this topic
Particle scattering
Published in Timothy R. Groves, Charged Particle Optics Theory, 2017
It is instructive to investigate several limiting cases. In the limit of zero thickness, z = 0, we find immediately that F˜(k,l;0)=1.
On the propagation of electrodynamic waves along a wire by A. Sommerfeld
Published in Electromagnetics, 2019
The first Limiting Case is to be viewed as normal in many respects. It always holds when the conductivity of the wire is sufficiently large and the ratio of the wire radius to the wavelength is not too small, and leads to a propagation speed differing little from the speed of light, and to a very small amount of spatial damping. The second Limiting Case can be realized by again taking the conductivity to be rather large, and taking the ratio of wire radius to wavelength as small as possible. In this second case, the deviation from the speed of light can reach one-fourth of light speed; at the same time, the damping during propagation of the wave can be much more rapid than in the first case.
Anchoring effects on the propagation of modes in a blue phase cylindrical fibre
Published in Liquid Crystals, 2023
Carolina Valenzuela, J. Adrián Reyes
In reference [11], an analysis of the cumulative effects of dispersion in electromagnetic waves that propagate over long distances in random media with small fluctuations in wave speed is detailed, through Maxwell’s equations. The radius of the wavelength and the limiting case are taken into account. It was found that the expected value of this parameter decays exponentially with the range (preferential propagation direction). This is the manifestation of the randomisation of waves, due to dispersion in a random medium.
Increase in traffic injury crashes following the 2016 Kumamoto earthquake in Japan: A model comparison
Published in Traffic Injury Prevention, 2023
Ryotaro Tominaga, Takuya Maruyama
The negative binomial regression model is given as follows: where the distribution is parameterized with its mean, using Eq. (2) and dispersion parameter, A limiting case of the negative binomial distribution with corresponds to the Poisson distribution. The mathematical expressions of the Poisson and negative binomial regression are described in detail in Online Appendix A3.